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REDEEMER’S UNIVERSITY
COLLEGE OF NATURAL SCIENCES
DEPARTMENT OF CHEMICAL SCIENCES
INORGANIC CHEMISTRY I
COURSE: CHE104
STUDY GUIDE
2016/17
SEMESTER 2
Lecturers
Professor G A Kolawole
Dr. T T OYETUNDE
Compiled by Prof. GA Kolawole
Professor G A Kolawole Contact: 07063178352
e-mail: [email protected] Office:Room 18, CNS
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Dr. T Oyetunde Contact: 08057647836
e-mail: [email protected] Office:Room 3, CNS
1. Course Title: Inorganic Chemistry 1
2. Module code: CHE104
4. Number of Unit: 2 (30 lectures)
7. Type of Course: Compulsory
9. Purpose of the Course:
This course is designed to introduce students to the structure of the Periodic Table, periodicity of the properties
of elements in the Periodic Table based of the electronic configuration, arrangement and position of elements in
the table and periodicity as a predictive tool for the properties of elements. The course would also cover basic
principles of bonding and properties of covalent bonding, and structures of solids. At the end of the course
students would have been introduced to periodicity along Periods 2 and 3, Groups 1 and 2 and the first row
transition metals within the Periodic Table that will form a conceptual foundation to Inorganic Chemistry at
higher levels of their studies, be able to predict the nature of bonding between two elements based on their
positions in the Periodic Table and describe the nature of structures of different types of covalent and ionic
solids.
10. Course Outcomes:
By the end of the course students should be able to:
Describe the structure of the Periodic Table and relate the position of elements in the Periodic Table to
the electronic configuration of the elements.
Classify elements in the PT according to their electronic configuration
Describe variations of selected physical properties, like radius, ionisation energy, electronegativity,
etc, along a Period and down a Group, and account for any discontinuity.
Relate reactivity and properties of elements in Periods 2 and 3, Groups 1and 2, and the first row
transition metal to the electronic configurations of the elements. Account for the differences and similarities in the properties of the elements in the respective selected
families of elements to their positions in the Periodic Table.
Describe the formation of ionic compounds and simple covalent compounds and relate the preference
of either to the position of the elements forming the bonds in the Periodic Table and their respective
electron configuration.
Describe the structures of simple ionic and covalent compounds and conceptualise bonding as a
continuum of polarity.
Undertake basic experiments in qualitative analysis, with appropriate demonstrable skills, and present
their results following standard formats.
11. Prescribed text books
(A) S. S. Zumdahl & S. A. Zumdahl: Chemistry, An Atoms First Approach, Brooks/Cole, 2012.
(B) K. W. Whitten, R. E. Davis, M. L. Peck & G. G. Stanley: General Chemistry, 7th
Edition, Thomson,
Brooks/Cole, 2004.
Students are urged to consult other helpful books available in the library. The lecture notes are available to be
photocopied on request from Professor Kolawole. Interested students can request for the soft copy by sending
an e-mail to Prof. GA Kolawole. The lecture notes only compliment the textbooks. Each student should
endeavour to buy a copy of one of the prescribed textbooks. Come to class with the lecture notes and one of
the textbooks. You will also find a Periodic Table handy. Attendance will be taken at every lecture and
assessment.
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12. Work Schedule
UNIT Coverage Background reading Completion
Date (Week
ending)
UNIT1: The structure
of the Periodic Table
1. The electronic configuration
of elements and the Periodic
Table
2. Classification of elements in
the Periodic Table
(A) Chap. 2: 2.6-2.11, pg. 76-90
(B) Chap.5:5.15-5.17, pg 205-218
(A) Chap. 2: 2.11
Weeks 1
UNIT 2: Periodicity 1. 1. Physical properties of elements:
atomic/ionic sizes, ionization
energy, electron affinity;
2. Metals, metalloids, non-metals
(A) Chapter 2: 2.12, pg. 91-96;
4.4, pg 154-157
(B) Chap 6 pg 230 - 264
(A) Chapter 2: 2.13, pg. 96-97
See lecture note
Week 2
UNIT 3: Chemical
periodicity:
Periods 2& 3
Graduation of chemical and
physical properties of elements of
Periods 2&3.
(A) Chapter 2: 2.13, pg. 92
See lecture note
Weeks 3& 4
Assessment 1 (45 minutes)
Unit 4:Chemical
periodicity: s-Block,
Groups 1 & 2
Gradation in the chemical and
physical properties of s-block
elements: Groups IA& IIA
(A) Chapter 2: 2.13, pg. 96-99
(B) Chap. 23: 23.1-23.6, pg915-
925
See lecture note
Weeks5 &6
UNIT 5. Chemical
periodicity:
Introduction to first
row transition metals
Gradation of physical properties
and review of their unique chemical
properties. Introduction to
Coordination Chemistry
(A) Chap. 21, 21.1-21.6, pg 928-
956
Weeks 7 &8
MID-SEMESTER ASSESSMENT (1½ hours)
UNIT 6: Chemical
bonding
1. Types of chemical
bonding
2. Electronegativity
3. Polarity of covalent bonds
4. Covalent bonding
5. Lewis structures
6. Valence Bond theory:
molecular shapes and
bonding
7. VSEPR theory
8. Hybridization
9. Ionic bonding & ionic
compounds
(A) Chap. 4:4.1, pg 145-149
(A) Chap. 2:4.2, pg 149- 150
(A) Chap. 2:4.3, pg 151-153; 4.6,
pg 161-162
(A) Chap 2:4.7, pg 162-167
(B) Chap 7: 7.3, pg 275-276
(A) Chap 2: 4.9-4.12, pg 168-182
(B) Chap 7: 7.4-7.11, pg 276-296
(A) Chap 5: 5.1, pg 193-205
(B) Chap 8, pg 302-347
(A) Chap 5:5.1, pg 193-205
(B) Chap 8, pg 302-347
(A) Chap 5:5.1, pg 205-217
(B) Chap 7: 7.2, pg 268-274
Weeks
9&10
UNIT 7: Solid state 1. Structure & bonding in
metals
2. Carbon and silicon
network
3. Ionic solids
(A) Chap 8: 8.4, pg 339-345
(B) Chap 13: 13.16, pg 509
(A) Chap 8: 8.5, pg 345-349
(B) Chap 13: 13.16, pg 517-518
(A) Chap 4, 4.5, pg 157-161;
Chap 8: 8.3, 8.7, pg 333-338;
356-359
(B) Chap 13: 13.14-13.16, pg
503-517
Weeks 11&
12
Assessment 3 (1 hour)
REVISION Week 13
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13. Methods of Assessment to be used: (% weighting)
Activity %
Attendance at lectures 05
Other Assessments 20
Mid-semester assessment 15
Semester Examination 60
Total 100
NOTE
80% attendance is mandatory to qualify to write the final semester examinations,
for which a score of five is awarded. Any attendance less than 80% attracts zero
score.
The other assessments will be in form of Tutorial Quizzes such that a set of
questions will be provided to guide your reading and periodically students are
given quizzes on the questions during one of the lectures to ascertain that each
student has read the note and has worked through the problems.
You are also given reading assignments that would warrant the use of the
library, for which a short typed report is submitted every two weeks.
14. Plagiarism
Plagiarism involves copying printed work or idea developed by other people without acknowledging the source
of your information. This amounts to stealing the intellectual property of other people and is punishable.
It is easily detected when you copy other peoples‘ work verbatim (word for word) or even when you reframe it
without acknowledging the origin of the information you use in your work. You need to keep this in mind when
you are given an assignment to do that involves consulting books, scientific journals or even newspapers and
use of information contained in the printed lecture notes given to you. When detected, you can easily lose
critical marks due to you in an assignment or even face disciplinary action.
Like in all human endeavours, intellectual honesty is a virtue and it pays to cultivate the habit right now and
keep it up for the rest of your life.
To acknowledge the source of information, you give a reference number after the statement and at the end of the
work you provide a list of references corresponding to the numbered references (There are different ways of
doing this depending on your discipline, which you will learn as you progress in your studies).
References normally should include: names of authors (Initials and surname); title of article; name of journal,
book, newspaper, etc; volume of the journal, book, newspaper, etc; pages of the article in the source and, if a
book, and the publisher, the edition and year of publication.
If the information is from a website, quote the website and the date you download the information in addition to
the above.
The University has recently acquired a software, ‗Turn-it-in‘, for detecting plagiarism and was first deployed to
assess final year projects last year. It will be applied in all assignments that warrant literature work at all levels
this year. The Committee managing the software runs training courses for staff and students every Thursday at
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the Virtual Library. Dr. Osho of Biological Sciences is the Chairman of the Committee and can be contacted by
staff and students to book a place in the weekly training sessions.
UNIT 1: The Structure of the Periodic Table
1.1. Electronic Configuration
Three fundamental particles are identified as constituents of the atom: electron, proton, and neutron. While
neutron and protons reside in the nucleus of the atom electrons are located in the orbital surrounding the
nucleus. You are advised to undertake a reading on quantum theory as it relates to atomic structure. This
concept is critical to the understanding of the behaviour of atoms of elements we are discussing in this course.
Electron configuration refers to the arrangement of electrons in the shell and orbitals surrounding the
nucleus.
The Periodic Table is constructed based on these configurations and the chemical and physical properties of
atoms are dictated by its electron configuration. Indeed if the electron configuration of an atom is known, one
could easily predict the position of the element in the Periodic Table and hence its chemical and physical
properties. It is therefore very important that any Chemistry student should understand this concept and always
carry a Periodic Table when studying Chemistry.
Let us now discuss some basic terms required in the description of the electron configuration.
1.1.1. Orbitals and quantum numbers
The description of the probable location of an electron around the nucleus of an atom
requires four quantum numbers. Each electron in an atom has its own four unique quantum
numbers that can be used to identify which electron we are talking about and to which atomic
orbital it belongs.
The principalquantum number identifies the main energy level known as the
shell(denoted asn).
The sub-shell (angular or azimuthal) quantum number identifies the sub-levels of
energy within the main energy level, known as sub-shell or orbitals (denoted as s, p,
d, f, etc).
Theorbital (magnetic) quantum number pins down the location of individual electrons
in orbitals (denoted as ml).
The spin quantum number provides the possible orientations of an electron in the
orbital (denoted as s).
All orbitals that have the same value of n are said to be in the same shell. Thus the
shell with n = 1 is called the first shell, the shell with n = 2 is the second shell and so
forth.
The various shells are often identified by letters beginning with K for the first shell:
N 1 2 3 4
Shell K L M N
The quantum numbers
Principal quantum numbers (shell), n, (p. q. n) roughly correspond to the n of the energy
levels in the Bohr atom. It has whole number values, n = 1, 2, 3, …. They correspond tothe
main energy levelsin an atom. As n increases electrons are generally farther from the
nucleus and have higher energy; n ranges from 1 to 7 in the ground state of the atom. At the
excited state it can range from 2 to (infinity).
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Subsidiary orangular or azimuthalquantum number (sub-shell), l,defines the different
energy sub-shells/sub-levels/orbitals, within the main, or n, level and indicates the shapes of
different types of orbital. Only certain values of l are allowed, which depend on n: l = 0, 1, 2,
3, ∙∙∙∙ (n-1). The total number of possible sub-shells or orbitals in each level is equal to n.
The sub-shells or orbitals are given by the values of l, which can assume values 0, 1, 2, 3, 4,
corresponding to s, p, d, and f orbitals respectively.
The energies of the orbitals increase from s to f, i.e.,s<p<d<f.
Assignment 1: Draw the shapes of s, p, d, and f orbitals. What is the degeneracy of each of
these orbitals?
Magnetic or orbital quantum number, ml defines the regions in space that can be occupied
by an electron, governed by ml.The number of allowed ml values depends on l, ml = -l to +l.
The number of orbitals in each sub-shell is equal to the number of values of ml, which is
equal to 2l + 1. Thus for s orbital,ml= 1; p orbitals, ml = 3; d orbitals, ml = 5 and for f
orbitals, ml = 7.
This results in one s orbital, three p orbitals, five d orbitals and seven f orbitals.
Spin quantum numbers, ms(or s)
An electron within an orbit rotates along an orbit but also, like a magnet, spins about its
axis.The rotation and spinning of electrons around the nucleus can be likened to the motion of
the sun around the earth. The spinning causes each electron to behave like a tiny magnet.
Electron spin therefore has two possible orientations corresponding to two possible values of
ms, +½, -½.
For each main level, only a specific number of atomic orbitals are allowed; thus for n = 1, l
has only one possible value, l = 0 and ml also has only one possible value, ml = 0. Therefore
at the n = 1 level, only one single atomic orbital is present, an s orbital.
Let us summarize:
Table 1a
For n
n = l = orbital =
1 0 s
2 0, 1 s, p
3 0, 1, 2 s, p, d
4 0, 1, 2, 3 s, p, d, f
Table 1b
For l
l = l ml = -l, (-l +1),…0, …, l-2, l-1, +l
0 (s) 0 one s orbital
1 (p) -1, 0, +1 three p orbitals
2 (d) -2, -1, 0, +1, +2 five d orbitals
3 (f) -3, -2, -1, 0, +1, +2, +3 seven f orbitals
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An atomic orbital is designated as nl, where n is the principal quantum number and l is sub-
shell quantum number, expressed as s, p, d, or f.
The second table shows how the sub-shells determine the number of available orbitals.
Let us summarize what we have learnt on quantum numbers in another way:
Table 1c
1. n = 1 2 3 4….
K L M N….
2. l = 0 1 2 3 4 5…
Letter symbols/sub-shell/orbitals s p d f g h…
3. Sub-shells: s p d f g…
No. of mlvalues (sub-orbitals)1 3 5 7 9…
Can you recognize the arithmetic progression?
Table 1d: Summary of the relationship among the three quantum numbers
Value of
n
Value of l Values of ml Sub-shell/orbital Number of
orbitals
1 0 0 1s 1
2 0
1
0
-1, 0, +1
2s
2p
1
3
3 0
1
2
0
-1, 0, +1
-2, -1, 0, +1, +2
3s
3p
3d
1
3
5
4 0
1
2
3
0
-1, 0, +1
-2, -1, 0, +1, +2
-3, -2, -1, 0, +1, +2, +3
4s
4p
4d
4f
1
3
5
7
The spin quantum number will be useful when we consider the arrangement of electron in the
orbitals. For each ml value, there are two values of s, ½.
How many electrons can occupy a shell?
An orbital cannot accommodate more than two electrons. Where two electrons are in the
same orbital their spin quantum number must be different, i.e. they would have opposite
spins.
From the four quantum numbers it is possible to predict the number of electrons in an orbital
and therefore the number of electrons in a shell.
Number of electrons in an orbital = 4l +2, where l is the subsidiary quantum number.
Number of electrons in a shell = 2n2, where n is the principal quantum number.
These are summarized in the Table 1e below.
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From the table note that two electrons can have the same n, l and mlbut the msmust be
different, i.e. no two electrons in the same atom can have all the four quantum numbers
equal (Pauli Exclusion Principle).
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Table 1 e
n l ml ms Electrons in
an orbital = 4l +2
Electron in a
shell = 2n2
1 0 (1s) 0 2 2
2 0 (2s)
1 (2p)
0
-1, 0, +1
+½, -½
+½, -½
2
6
8
3 0 (3s)
1 (3p)
2 (3d)
0
-1, 0, +1
-2,-1, 0, +1, +2
+½, -½
½ for
each ml
2
6
10
18
4 0 (4s)
1 (4p)
2 (4d)
3 (4f)
0
-1, 0, +1
-2,-1,0,+1,+2
-3,2,1,0,+1,+2,+3
+½, -½
½ for
each ml
2
6
10
14
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1.2: Electron configuration
Some important rules in writing electron configuration
The Aufbau principle: Electronsoccupy the lowest-energy orbitals available to them; they
enter higher energy orbitals only when the lowest energy orbitals are filled. This is also
known as the lowest energy principle. The sequence of energies for atomic orbitals is given
in Figure 2.
Hunds rule: When electrons are placed in a set of orbitals of equal energy (i. e., degenerate
orbitals), all the orbitals must be occupied singly first before any pairing can occur.
Pauli exclusion theory: No two electrons in the same atom can have the same set of four
quantum numbers.
In instances where two electrons occupy the same orbital (n, l and ml same) their spin
quantum number must be different.
For example: Helium, He, has two electrons.
n = 1, l = 0, ml = 0, but s = +½ or -½.
Thus two electrons are in the s orbital but with opposite spins.
i.e. 1s2 or
No orbital (as specified by n, l, ml) can ever contain more than two electrons.
For n = 2, l = 0, 1
For l = 0, ml= 0, ms = ½
2s orbital; configuration is 2s2 2 electrons.
For l = 1, ml = -1, 0, +1
p orbitals
For ml = -1, s = ½, 2 electrons
ml = 0, s = ½, 2 electrons
ml =+1, s = ½, 2 electrons
6 electrons
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2s 2p
Figure 1: Relative energies of the orbitals
n = 7
n = 6
n = 5
n = 4
n = 3
n = 2
n = 1
1s<2s<2p<3s<3p<4s3d<4p<5s4d<5p<6s<4f<5d<6p<7s<5f<6d<7p
The configuration is 2p6 (Recall that there are three p orbitals, px, py, pz, so 2p
6 can be written
as 2px2 2py
2 2pz
2).
Thus for n = 2 there are 8 electrons: two in 2s, six in 2p. The three p orbitalsare degenerate.
The p orbital istherefore said to be triply degenerate.
The d orbital has five degenerate orbitals.
These orbitals are degenerate only at the ground state.
The maximum number of electrons for each principal quantum level and each orbital are
summarized in Table 2. The last column indicates that the maximum number of electrons in
each n level is 2n2.
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Table 2: Summary of relationship among n, l, and ml
Value
of n
Value
of l
Values of ml Orbital Number
of sub-
orbitals
Electron
occupation
Maximum
electron in
a shell
1
2
3
4
0
0
1
0
1
2
0
1
2
3
0
0
+1, 0, -1
0
+1, 0, -1
+2, +1, 0, -1, -2
0
+1, 0, -1
+2, +1, 0, -1, -2
+3, +2, +1, 0, -1, -2, -3
1s
2s
2p
3s
3p
3d
4s
4p
4d
4f
1
1
3
1
3
5
1
3
5
7
2
2
6
2
6
10
2
6
10
14
2
8
18
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The electron configuration of an atom is the distribution among the orbitals of all the
electrons in the atom. The following orbital notation is used: nlx, where n represents the
principal quantum level (as a number 1, 2, 3, ··); l represents the orbital as letters (s, p, d, f,
··) and x is the number of electrons.
The following orbital notations are used when writing the electron configuration of an atom:
nlx
e.g. 4d6
Example: 3d3 means ‗in the n = 3 level, the d orbitals are occupied by 3 electrons‘.
Examples:
H 1s1 (n = 1, l = 0, ml = 0, s = +½)
He 1s2 (n = 1, l = 0, ml = 0, s = +½ for 1st electron and n = 1, l = 0, ml = 0, s = -½ for 2nd
electron)
When p orbital is involved you must recall that the p orbital has three sub-orbitals (mlvalues
also known as degenerate levels). This can also be illustrated with box diagrams:
Orbital quantum number
No. of electrons in an
orbital
Principal
quantum number
are occupied by six electrons
the d orbitals In the n = 4
level/shell
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B 1s22s
22p
1
C 1s22s
22p
2
N 1s22s
22p
3
1s 2s 2px 2py 2pz
The electron configurations of the 18 elements are easy to write but for elements of higher
atomic numbers, Figure 1(page 8) would be a useful guide in ordering the energy levels of
the orbitals.
Summary of rules for writing electron configuration
No two electrons can have the same four quantum numbers (Pauli Exclusion Principle)
Electrons occupy the lowest-energy orbitals available to them; they enter higher energy
orbtals only when the lower energy orbitals are filled.
Orbitals of equal energy (degenerate) are each occupied by single electron first before a
second electron, which will have the opposite spin quantum number, enters any of them.
Exceptions to the ideal configurations predicted by the energy sequence above are in Cr
(Z = 24), Cu (Z = 29) and Ag (Z = 47):
Cr (Z = 24), 1s2 2s
2 2p
6 3s
2 3p
63d
5 4s
1 instead of 1s
2 2s
2 2p
6 3s
2 3p
6 4s
24s
23d
4.
Cu (Z =29), 1s2 2s
2 2p
6 3s
2 3p
63d
10 4s
1 instead of …4s
23d
9.
Ag (Z = 47), 1s2 2s
2 2p
6 3s
2 3p
64s
23d
10 4p
6 4d
105s
1instead of …5s
2 4d
9.[Kr] 4d
10 5s
1 instead
of [Kr] 4d95s
2.
These configurations can be written as [Ar]3d5 4s
1, [Ar]3d
10 4s
1and [Kr] 4d
10
5s1respectively.
Note 1s2 2s
2 2p
6 3s
2 3p
6 is the configuration of element 18, Ar and 1s
2 2s
2 2p
6 3s
2 3p
64s
2 3d
10
4p6 is that of krypton, Kr.
This is attributed to the possible greater stability of half-filled or full-filled d obitals (e.g. 3d5
instead of 3d4 in chromium, because the half-filled 3d
5 is more stable than the 3d
4; and
3d10
/4d10
instead of 3d9/4d
10 in copper/silver because the fully-filled 3d
10/4d
10 is more stable
than 3d9/4d
9.
Generally half filled and fully filled configurations in any set of degenerate orbitals are
more stable than any other partially filled configuration.
1.3: Electron configurations and the Periodic Table
A modern Periodic Table is given in Figure 3 below.
The Periodic Table is built up by arrangement of elements in order of increasing
atomic number such that all elements that have similar chemical properties fall into
the same column and each row corresponds to the filling of electrons into an atomic
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shell.
The columns are called Groups and the rows Periods. Elements within a group are
said to belong to the same Family.
The Periodic Table can be explained by the electron configuration of atoms of the
elements.
Each Period contains the number of elements that correspond to the number of
electrons contained in a shell.
The number of electrons accommodated by the sub-shells that become filled as the
atomic number increases determines the length of each row.
All the orbitals of the last element of each Period are fully filled by 2 electrons each.
The Group number corresponds to the number of electrons in the outermost shell of
an atom.
All elements in the same group have similar electron configurations in their outermost
shell, i.e. their outer electron configurations are similar.
Each Period corresponds to a principal quantum level: Period 1 (n = 1); Period 2 (n =
2); Period 3 (n = 3); Period 4 (n = 4), etc.
The outermost shell is the shell corresponding to the energy level of highest principal
quantum number.
Example: Consider Li (Z = 3) and Na (Z = 11)
Li: 1s22s
1, the higher principal quantum number in Li = 2
Na: 1s2 2s
2 2p
63s
1, the highest principal quantum number in Na = 3.
Both have 1 electron in the outermost s orbital, hence they are in group 1; however, Li is in
Period 2 whereas Na is in Period 3. Study the Table below:
n Period No. of electrons No. of elements
1 1 2 2
2 2 8 8
3 3 18 8 (18*)
4 4 32 18 (32**)
5 5 50 18 (50**)
6 6 72 32 (72**)
7 7 98 32 (98***)
*The apparent fewer elements than the periods should accommodate follow from the relative
energies of the orbitals given earlier (See Fig. 1).
**The present Periodic Table cannot accommodate more than 32 elements in a period.
***There are prospects of discovering more elements!
The modern Periodic Table is given in Figure 2
1.4: Classification of Elements in the Periodic Table
The chemical and physical properties of an element are governed by the number and
arrangement of the orbital electrons, i.e. by their atomic number. The atomic number
determines the position in the Periodic Table, where elements are arranged in order of
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increasing atomic number. Such arrangement leads to certain elements falling in a particular
column, the Group, and some horizontal arrangement or rows, the Period.
Each Group shows similarities in chemical properties and gradation in physical properties.
Thus it is only necessary to learn the general properties of each group, and the trends as the
group is descended, rather than the properties of each individual element in the group. The
group to which an element belongs is determined by the number of electrons in its highest
energy electron shell, i.e. its outermost electron shell.
Figure 2: The Modern Periodic Table
Groups
s-block
Group I – one s-electron in the outermost sub-shell.
Group II – two s-electrons in the outermost sub-shell.
p-block
Group III – two s-electrons + one p-electron in the outermost shell = 3 electrons.
Group IV – two s-electrons + two p-electron in the outermost shell = 4 electrons.
Group V – two s-electrons + three p-electron in the outermost shell = 5 electrons
Group VI – two s-electrons + four p-electron in the outermost shell = 6 electrons
Group VII – two s-electrons + five p-electron in the outermost shell = 7 electrons
Group VIII – two s-electrons + six p-electron in the outermost shell = 8 electrons
Group VIII or group 0 has a full outer electron shell so that the next shell is empty, hence the
name Group 0.
Groups III to VIII all have their p orbitalsbeing filled with electrons and because their
properties depend on the presence of p-electrons, they are jointly called the p-block elements.
The Periodic Table Contains 16 groups (Group VIIIB contains three subgroups), making it 18
groups effectively. Of these, 8 are main groups (long) and 10 are subgroups (short).
Periods
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The elements in the Periodic Table are arranged in order of increasing atomic number, i.e. in
order of increasing nuclear charge, so that each element contains one more orbital electron
than the preceding element.
Each row/period begins with an alkali metal and ends with a noble gas.
The sequence in which the various levels are filled determines the number of elements in
each period, and the Periodic Table can be divided into four main regions according to
whether s, p, d, or f levels are being filled.
There are seven periods corresponding to the filling of:
Period 1: 1s2 2 elements
Period 2: 2s22p
6 8 elements
Period 3: 3s23p
6 8 elements
Period 4: 4s23d
104p
6 18 elements
Period 5: 5s24d
105p
6 18 elements
Period 6: 6s24f
145d
106p
6 32 elements
Period 7: 7s25f
146d
107p
6 32 elements
The periods of the Periodic Table can therefore be broken down into:
3 short periods – corresponding to principal quantum numbers 1, 2, 3.
2 long periods – corresponding to principal quantum numbers 4, 5.
2 very long periods – corresponding to principal quantum numbers 6, 7.
The most recent Periodic Table reveals that 117 elements are now discovered, leaving one
more possible elements to fill the present Periodic Table (i.e. to completely fill Period 7).
Thus there is the prospect of discovering more new elements in the future.
Classifications of elements
Elements are classified according to:
(a) Electron configuration
s-block – Groups IA (ns1) and IIA (ns
2); maximum 2 electrons in s-sub-shell.
p-block – Groups IIIB – VIIIB (ns2np
x, x = 1-6); maximum 6 electrons in psub-shell.
d-block – Groups IIIA – VIIIA, IB – IIB (ns2(n-1)d
x, x = 1-10); maximum 10
electrons in the dsub-shell.
f-block – Lanthanides and actinides [ns2(n-1)d
0-1(n-2)f
x, x = 1-14]; maximum 14
electrons in the f-sub-shell.
(b) Metals – s-block, d-block, f-block and bottom of p-block.
Non-metals – Top of p-block.
Metalloids – located between metals and non-metals.
(c) Trivial class names
s-block – alkali metals (Group IA) and alkaline earth metals (Group IIA).
p-block – pnicogens, rarely used (Group V), chalcogens (Group VI), halogens (Group
VII), noble gases (Group VIII or 0).
d-block – transition metals.
f-block – Inner transition metals (lanthanides and actinides).
Page 16
The Periodic Table puts hydrogen in two groups, Group IA and Group VIIB. Some put it in
no group! Hydrogen resembles Group IA in the sense that it forms a positive ion, H+,
carrying a single charge like Group IA metals. It also forms a negative ion, H-, like Group
VIIB elements.
The Periodic Table can also be classified into four blocks (Figure 3):
s-block: Groups where the outermost orbital is s. They are to the left of the Periodic Table.
Since the s sub-shell can accommodate a maximum of 2 electrons, there are only two groups
for s block, Groups I and II.
p-block: Here outermost electrons are located in the p orbitals. They are located to the right
of the Periodic Table. The p sub-shell can accommodate a maximum of 6 electrons (2 in
each of px, py, and pz). There are six groups in the p-block, Groups III to VIII.
d-block: This block is located between the s and the p blocks, and corresponds to electrons
being fed into the d sub-shell, which can accommodate 10 electrons; hence there are 10
elements in each row of the d block. There are three rows altogether hence there are 30 d
block elements. The d block elements are called Transition Elements, from their location
between s and p orbitals.
f-block: They correspond to the filling of the f sub-shell, which can accommodate 14
electrons, hence 14 elements of each of the two rows in f-block. There are 28 elements in the
f-block
The classification of elements into blocks is presented in Figure 3.
Figure 3: Classification of elements of the Periodic Table
s-block
d-block
f-block
p-block
Representative elements areelements for which all inner sub-shells are fully filled and the
outer s and p sub-shells are filling are called representative elements or main group
elements. They correspond to the first 16 elements, 18 inclusive of the Noble gases (Group
VIII), in the Periodic Table.
Periodicity and Oxidation states
Page 17
The maximum oxidation number attainable for each Group corresponds to the Group number.
However, while for groups 1-5 these oxidation states are positive and stable at the top of each
group, for Groups 6-7, the oxidation state corresponding to the group number is oxidising and
therefore unstable. Thus the most stable oxidation state corresponds to Group Number-8, i.e.,
for Groups 6 and 7, the -2 and -1 oxidation states are the most stable.
UNIT 2: Chemical Periodicity
The chemical properties of elements are related to their electronic configuration and therefore
to their position in the Periodic Table. The variation of physical and chemical properties
within the Periodic Table follows some regular patterns. This is covered in the periodic law:
The properties of the elements vary periodically with their atomic numbers.
2.1: Metals, non-metals and metalloids
As mentioned earlier the elements in the Periodic Table can be classified into metals
(over 80 elements), metalloids (8 elements) and non-metals (17 elements). Each class
has its unique properties that will be discussed when we treat chemistry of the
elements.
Within a Period, the metals are over 80% of all elements located on the left side of the
Periodic Table; the metalloids are between metals and non-metals and non-metals are
on the right side of the Periodic Table.
One characteristic of all metals is that they have electrons that can be easily lost,
usually from s, p, d (for transition metals) and f (for lanthanides). This makes metals
to be conductors. Metalloids are semiconductors and non-metals are insulators.
As a group is descended, the elements become more and more metallic; thus at the top
of a group we find non-metal/less metallic elements followed by metalloids and
finally by metals. Even in the groups containing predominantly non-metals they do
contain elements with metallic properties at the bottom of the groups.
Figure 4: Some of the elements to which we will make references in this course
III IV V VI VII
I
IIH H
Li
Na
K
Rb
Cs
Fr
Be
Mg
Ca
Sr
Ba
Ra
B C N O F
Al Si P S Cl Ar
Sc Ti V Cr Mn Fe Co Ni
VIII
Ne
Cu Zn
He
Ga Ge As Se Br Kr
Xe
Rn
I
At
Period 2
Period 3
Period 4
Period 5
Period 6
Period 7
Period 1
Te
Metalloids are written in red
2.2: Atomic and ionic radii
The radius of the atom is larger than that of the cation whereas it is smaller than that
of the anion. Cations are formed by metals by loss of electrons whereas anions are
formed from non-metals by gain of electrons.
Page 18
Generally cations are smaller than anions.
Metals have larger sizes than metalloids and metalloids larger than non-metals. Thus:
Atomic sizes decrease from left to right of a Period and increases from top to bottom
of a Group.
o In the p-block elements, the second and third members are similar in size and
properties because of the intervention of the d-transition metals.
o In the d-transition metals the two heaviest members are similar in size and properties
because of the intervention of the lanthanides (lanthanide contraction).
o The first element in each representative group differs from the other elements in the
family because of the smaller size of its atoms.
On the other hand ionic sizes increase from left to right of a Period and also increase
down a Group subject to the exceptions indicated above and provided the charges are the
same.
Factors that influence radii
The radius of an atom or an ion is mainly influenced by effective nuclear charge and the
number of energy levels (shells) occupied by electrons in the atom. The bonding
environment of the atom also has some effect.
The effective nuclear charge is the portion of the nuclear charge that acts on a given
electron. As nuclear charge increases (i.e. number of protons increases), electrons are
attracted more strongly to the nucleus.
The screening effect is the decrease in the nuclear charge acting on an electron due to the
effects of other electrons. Screening effect varies depending on the location of the
electrons that screen an outermost electron. Electrons closest to the nucleus screen
strongest and decreases as the closed shells approach the outermost shell. Within the
outermost shell, the type of sub-shell also affects screening: The order is s>p>d>f
because of the shapes of these orbitals.
Ions that have the same electronic configuration are said to be iso-electronic. Examples
are N3-
, O2-
, F-, Na
+, Mg
2+ and Al
3+. N
3-, O
2-and F
-gain electrons to attain the neon
configuration whereas Na+, Mg
2+ and Al
3+ lose their valence electrons to attain neon
configuration.
Isoelectronic ions N3-
O2-
F-Na
+ Mg
2+ Al
3+
Z (Nuclear charge) 7 8 9 11 12 13
Radii (nm) 0.171 0.1260.119 0.116 0.085 0.068
No. of electrons 10 10 10 10 10 10
The decreases in ionic radii as the ions become heavier are solely due to greater effective
nuclear attraction by the highly charged nucleus.
2.3: Ionization energy (IE)
The ionization energy (also called ionization potential) is the enthalpy change for the
removal of the most loosely bound electron from an atom or an ion in the gaseous state.
Ionization energies are given per mole of atoms or ions of a given type.
Page 19
The first ionization energy is the energy required to remove one electron from a
neutral atom. E.g. Na(g) Na+
(g) + e- H
o = 495.8 kJ mol
-1 = the first IE
Such reactions are always endothermic and IEs are always positive. Energy is always
required to pull an electron from the attraction of the nucleus.Energies for the removal of
additional electrons are the second, third IEs, and so on.
Removal of subsequent electrons requires larger energies:
Al(g) Al+
(g) + e- H
o = 578 kJ mol
-1 (1
st IE)
Al+
(g) Al2+
(g) + e Ho = 1817 kJ mol
-1(2
nd IE)
Al2+
(g) Al3+
(g) + e Ho = 2743 kJ mol
-1 (3
rd IE)
The effective nuclear charge increases as successive electrons are removed hence increase
in IEs from first to second to third.
IEs are, like radii, influenced by the effective nuclear charge and the electron
configuration. Increase in effective nuclear charge leads to increase in IE.
Generally IE is smaller for larger atoms/ions and thus IEs are smaller in metals than
metalloids and non-metals; i.e. decreases from left to right of a Period and from top to
bottom of a Group.
Stable electron configurations like are found in the Noble gases require larger
energies to ionize; hence the IEs of the Noble gases are generally the largest in a
Period. Similarly all ions that attain the noble gas configurations will have large IEs.
Generally too, half-filled and fully filled orbital configurations are relatively stable
and will require higher IEs if electrons are to be removed from such configurations.
Figure 5: First ionization energies
III IV V VI VII
I
II
H
H
Li
Na
K
Rb
Cs
Fr
Be
Mg
Ca
Sr
Ba
Ra
B C N O F
Al Si P S Cl
Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br
I
At
He
Ne
Ar
Period 2
Period 3
Period 4
Period 5
Period 6
Period 7
1312
520
496
419
403
376
899 801 1086 1402 1681
2372
1314 2081
738 578 786 1012 1000 1251 1521
590
550
503
509
2.4: Electron affinity (EA)
Electron affinity is the enthalpy change for the addition of one electron to an atom or ion in
the gaseous state. EAs are also given per mole of atoms or ions.
Example:Cl(g) + e- Cl
-(g) H
o = -349 kJ mol
-1
The addition of an electron to a chlorine atom to attain a noble gas configuration occurs
readily and is exothermic. Unlike IE, electron affinities can be positive or negative. Energy
is required to add electron to a stable configuration. EAs for Group II elements (ns2
configuration) and Group VIII elements (ns2np
6) are positive (endothermic). All second EAs
are positive because electrons are being added to an already negative species because energy
Page 20
is required to overcome the repulsion between electron and an already negatively charged
ion.
Energy is usually released when an electron is added to an isolated neutral atom. The energy
which is associated with the change
X(g) + e X-(g)
is called the electron affinity (EA). In IE, energy is added to remove an electron. Energy
will be released if an electron is added to a neutral atom. Addition of electron to an atom is
therefore an exothermic process. Some EA values are given below:
Element EA (kJmol-1
)* Process
Fluorine -344 F(g) + e F-(g)
Chlorine -349 Cl(g) + e Cl-(g)
Bromine -325 Br(g) + e Br-(g)
Oxygen -142
+844 O(g) + e O
-(g)
O(g) + e O2-
(g)
Hydrogen -72 H(g) + e H-(g)
Sodium -50 Na(g) + e Na-(g)
* A negative sign indicates that energy is evolved when an electron is added.
2.5: Electronegativity
Electronegativity is the ability of an atom, in a covalent bond, to attract electrons to it. The
electronegativity values can be used to predict whether a covalent bond is polarized or not
(See Unit 5). Within a Periodic Table,
Electronegativity increases from left to right of a Period.
Electronegativity decreases from top to bottom of a Group.
The most electronegative element is F; at the topmost right hand corner of the
Periodic Table (excluding the noble gases).
The least electronegative element is at the bottom of the left hand corner of the
Periodic Table, Fr.
An electronegative atom tends to acquire a partial negative charge in a covalent bond
or to form negative ion. Non-metals are generally electronegative.
An electropositive atom tends to acquire a partial positive charge in a covalent bond
or form positive ions. Metals are generally electropositive.
In compounds formed by two non-metals of unequal electronegativity, the less
electronegative atom carries the partial positive charge and the more electronegative
carries the partial negative charge; e.g. in ICl, I is less electronegative and therefore
carries a partial positive charge, Cl carries partial negative charge.
The polarity of a bond increases with increase in the difference between the
electronegativities of the two atoms that bond.
Page 21
III IV V VI VII
I
II
HH
Li
Na
K
Rb
Cs
Fr
Be
Mg
Ca
Sr
Ba
Ra
B C N O F
Al Si P S Cl
Sc Ti V Cr Mn Fe Co Ni Cu Zn Ga Ge As Se Br
I
At
2.1
1.0
0.9
0.8
0.8
0.7
0.7
1.5
1.2
1.0
0.9
0.9
2.0 2.5 3.0 3.5 4.0
1.5 1.8 2.1 2.5 3.0
Least electronegative
Most electronegative
1.0
UNIT 3: Chemical Periodicity
3.1 Period 1
3.1.1 Physical Properties
Element Li Be B C N O F Ne
Atomic Number 3 4 5 6 7 8 9 10
Electron configuration [He] 2s1 2s
2 2s
22p
1 2s
22p
2 2s
22p
3 2s
22p
4 2s
22p
5 2s
22p
6
Atomic radii/pm 157 112 79corr 71* 73
** 74
*** 71 -
First I.E./kJmol-1
526 906 807 1093 1407 1320 1687 -
Electron Affinity/kJmol-1
-57 66 -15 -121 31 -142 -333 +99
* Radius for graphite (77 pm for diamond).
** Based on covalent bond length of N-N in N2H4.
*** Calculated from O-O covalent bond length in H2O2.
General comments
As we move from Li Ne the second shell is being filled with electrons.
Each addition of electrons increases the number of protons in the nucleus by one; hence
the atoms are neutral.
Because the electrons go into the same shell (n=2) their addition does not have much
influence on screening effect, i.e. screening effect is almost constant.
Effective nuclear charge on the outer electrons therefore increases from Li F.
Atomic sizes therefore decreases.
Although the first ionisation energy is expected to increase as the effective nuclear
charge on the electrons increases, there are two discontinuities ("saw-tooth") at boron
and oxygen.
Page 22
The values of B, C and N are lower than expected (Plot the data in the table above and
extrapolate the lines). This is due to the fact that the p electrons being removed in these
elements are less penetrating than the s electrons that are removed from Li and Be.
The p electrons are thus more effectively shielded from the nucleus and are hence easily
ionised.
The discontinuity in O, F and Ne is due to the removal of the first electron from the
paired p electrons. There is some repulsion before pairing takes place (a "spin-pairing
energy required) and thus the paired electron is less tightly bound. The I.E for O, F, and Ne
are again lower than the values expected by extrapolation from B, C and N values. The N
value is particularly high because the electron being removed is from a relatively stable half-
filled p-orbital.
The electron affinity increases steadily indicating the increasing tendency of the
elements to accept electrons. It also conforms with the change from metal to non-metal.
The positive values in Be and N illustrate the extra stability enjoyed by filled s
orbital and half-filled p orbitals respectively.
The electronegativities are generally high, increasing across the period. Compounds of
the elements therefore tend to be covalent. The covalent character of bonding is most
pronounced at the middle of the period.
3.1.2 Chemical periodicity of Period II elements
The elements can be divided into three groups:
Metal - Li; Metalloid - Be, B; Non-metals - C, N, O, F.
Classification can also be made using other criteria:
(a) electrical conductivity
(b) behaviour of oxides.
Using (a) Li and Be are metals; B a metalloid (because its conductivity increases with
increase in temperature) and the rest are non-metals.
Using (b) Li is a metal (Li2O is basic), Be and B are metalloids (BeO and B2O3 are
amphoteric) and the rest are non-metals (their oxides are acidic e.g. CO2, NO2) except
that the oxide of O (O2) is neutral. F does not have an oxide but a fluoride of oxygen
OF2! (Why?)
2.1.3. Compounds
The Oxides
Generally oxides can be basic, acidic, amphoteric or neutral, depending on their
behaviour with water, aqueous acids and alkalis.
Within a period oxides change from strongly basic (for pure metal) and strongly acidic
(for non-metals). In passing through a period the transition is through weakly basic,
amphoteric, and weekly acidic and this is gradual.
Page 23
Oxide Normal state Type Product on reacting with
water (hydrolysis)
Li2O solid basic LiOH
BeO solid amphoteric-basic Be(OH)2
B2O3 solid amphoteric B(OH)3
CO2 gas weakly acid H2CO3
CO gas neutral -
N2O5 gas strongly acidic HNO3
NO2(N2O4) gas acidic HNO3 + HNO2
NO gas neutral -
O2 gas - -
OF2* gas acidic HF
* not an oxide but a fluoride of oxygen.
Reactions of oxides with water
Li2O + H2O LiOH
BeO + H2O Be(OH)2
B2O3 + 3H2O 2B(OH)3 (2H3BO3)
CO2 + H2O H2CO3
N2O5 + H2O 2HNO3 , etc.
Reactions with alkalis
Only the amphoteric and acidic oxides react.
BeO + OH- + H2O [Be(OH)4]
2- beryllate
B2O3 + 2OH- + 3H2O 2[B(OH)4]
- borate
N2O5 + 2OH- → 2NO3
- + H2O
3.1.4 The Hydroxides
The metal forms basic hydroxide, which can be easily decomposed by heat,
2LiOH Li2O + H2O
Be(OH)2 is amphoteric and can be decomposed by heat too,
Be(OH)2 BeO + H2O
The hydroxides of B, C and N are acidic.
These non-metals form oxy-acids as their 'hydroxides'. The acids are often wrongly
written as H3BO3, H2CO3, HNO3 instead of (OH)3B, (OH)2CO, (OH)NO2 respectively.
In all these the hydrogen is attached to the O not the elements.
Chlorides
Page 24
LiCl BeCl2 BCl3 CCl4 NCl3 Cl2O ClF
solid solid solid liquid liquid gas gas
ionic ionic polar cov cov cov cov cov
+water soluble soluble sparingly
soluble
insol. insol. reacts reacts
pH of soln. acidic acidic weakly
acidic
- - acidic acidic
Changes from solidliquidgas correspond to changes in bonding (ionic covalent).
Ionic chlorides are soluble in water giving acidic solutions. This is due to the hydrolysis
of the small metal ions.
Cl2O and ClF react to give acidic solutions
Cl2O + H2O 2HOCl
ClF + H2O HF + HOCl
2.2. Period 3
3.2.1 General properties
Element Na Mg Al Si P S Cl Ar
Atomic Number 11 12 13 14 15 16 17 18
Electron configuration [Ne] 3s1 3s
2 3s
23p
1 3s
23p
2 3s
23p
3 3s
23p
4 3s
23p
5 3s
23p
6
Atomic radii/pm 186 160 143 117 110 104 99 191
First I.E./kJmol-1
496 737 577 786 1012 999 1256 1521
Trends in physical properties and explanations for them are similar to Period II.
3.2.2 Classification
Metals: Na Mg Al (Al is, however, amphoteric)
Metalloid: Si
Non-metal: P S Cl
The reactivity of the elements falls under the basic reactions expected for metals, metalloids
and non-metals. The following reactions are, however, important:
3.2.3 Reactions with alkali
Al + OH- + 3H2O [Al(OH)4]
- + 1½H2
Aluminate(III) ion
Si + 2OH- + H2O SiO3
2- + 2H2
Silicate(IV) ion
P4 + 3OH- + 3H2O PH3 + 3H2PO2
-
dihydrogenphosphate(I) ion
Page 25
3S + 6OH- 2S
2- + SO3
2- + 3H2O
sulphate(IV) ion
Cl2 + 2OH- Cl
- + ClO
- + H2O
chlorate(I) ion Note that in all the cases, one of the products is an oxo-anion, or a hydroxyl-anion, containing
the element. The last two reactions are examples of disproportionation.
3.2.4 Compounds
3.2.4.1 Hydride
NaH MgH2 (AlH3)x SiH4 PH3 H2S HCl
ionic ionic cov cov cov cov cov
basic weakly
basic
polymeric
(amph)
? neutral weakly
acidic
acidic
solid solid gas gas gas gas gas
+water reacts*
(soluble)
reacts reacts reacts insol. slightly
soluble
very
soluble * NaH + H2O NaOH + H2
3.2.4.2 Oxides
Na2O MgO Al2O3 SiO2 P4O10 SO3 Cl2O7
strongly
basic
basic amph. weakly
acidic
acidic strongly
acidic
strongly
acidic
+water soluble slightly
soluble
insoluble insoluble soluble soluble soluble
+acid soluble
(reacts)
soluble
(reacts)
soluble
(reacts)
slightly
soluble
no
reaction
no
reaction
no
reaction
+alkali - - soluble
(reacts)
slightly
soluble
soluble
(reacts)
soluble
(reacts)
soluble
(reacts)
ionic ionic cov cov cov cov cov
solid solid solid solid solid gas gas
Note:
Basic oxides react with acid but not with alkali; acidic oxides react with alkali but not
with acid; amphoteric oxides react with both acid and alkali.
There are other oxides for P, S and Cl in addition to the typical ones given above.
3.2.4.3 Hydroxides
(a) Metals
NaOH Mg(OH)2 Al(OH)3
alkaline basic amphoteric
+heat not decomposed decomposed
Page 26
decomposed
Mg(OH)2 MgO + H2O
2Al(HO)3 Al2O3 + 3H2O
Note:
Basic strength decreases across the period.
Stability of hydroxides to heat decreases.
(b) Non-metals
The 'hydroxides' of non-metals are oxy-acids: the hydrogen is attached to the oxygen not
to the central element, i.e.
(HO)4Si not H4SiO4
(HO)3P(O) not H3PO4
(HO)2S(O)2 not H2SO4
(HO)Cl(O3) not HClO4
(HO)4Si (HO)3PO (HO)2SO2 HOClO3
silicic acid phosphoric acid sulphuric acid perchloric acid
It is impossible to rationalise from classical analytical composition the formulae H4SiO4,
H3PO4, H2SO4 and HClO4. The structures are
Si Cl, , ,
HO OH
OHHO
P O
HO
HO
OH
S
O
O
HO
HO
O
O
O
HO
On reacting with an alkali they form:
SiO44-
PO43-
SO42-
ClO4-
silicate(IV) phosphate(V) sulphate(VI) chlorate(VII)
ion ion ion ion
Note:
Basicity of the 'hydroxides' decreases from 4 to 1 from Group IV to Group VII.
There are other oxy-acids for P, S and Cl.
The acid strength of the acids increases from left to right.
The above oxo-anions can be represented as XO4n-
where n = 8- group number.
The order of acid strength of the oxy-acids is related to the number of double bonded O
to the central atom. Oxygen, being more electronegative withdraws electrons from the
central atom which is then relayed to the oxygen in O-H and consequently to the H atom.
For example:
Page 27
H O
S
H O
O
+ 2H2O 2H3O+ +
O
S
O
OO
O
3.2.4.4 Chlorides
NaCl MgCl2 Al2Cl6 SiCl4 PCl5 S2Cl2 Cl2
M.p. 808 714 192(p) -68 148(p) -80 -101
B.p. 1465 1418 180(s) 57 164 136 -35
Bond
type
ionic solid ionic solid polar cov
volatile
solid
polar cov
liquid
cov
liquid
cov
liquid
cov
gas
Structure crystalline layer dimeric molecular
+water soluble soluble
(hydrolyse)
soluble
(hydrolyse)
hydrolyse hydrolyse hydrolyse reacts
Trends in properties of the Chlorides
Bond: Changes from ionic to covalent.
M.p/b.p.:
Both depend on the bonding.
The crystal lattice in the involatile ionic chlorides cannot be easily broken.
The intermolecular forces in the covalent chlorides become increasingly weak as the
chlorides become more covalent (i.e. less polar).
The weak van der Waals forces become important at the extreme right where the
chlorides are most covalent.
The sudden change in m.p. between AlCl3 and SiCl4 corresponds to a dramatic change
in structure.
Interaction with water:
Ionic chlorides dissolve in water to give hydrated metal ions and chloride ions.
The metal ions, depending on size, can undergo hydrolysis, giving acidic solutions
(cations hydrolyse to give acidic solutions).
NaCl + H2O Na+(aq) + Cl
-(aq)
Na+does not hydrolyse.
MgCl2 + H2O Mg2+
(aq) + 2Cl-(aq)
AlCl3 + H2O Al3+
(aq) + 3Cl-(aq)
Page 28
Mg2+
and Al3+
ions undergo hydrolysis in water.
[Mg(H2O)x]2+
+ 2H2O [Mg(H2O)x-2(OH)2] + 2H3O+
[Mg (H2O)x-2(OH)2] Mg(OH)2 + (x-2) H2O sparingly soluble
[Al(H2O)x]3+
+ 3H2O [Al(H2O)x-3(OH)3] + 3H3O+
[Al(H2O)x-3(OH)3] Al(OH)3 + (x-3)H2O insoluble
Covalent chlorides dissolve in organic solvents, but they hydrolyse in water to give
hydrogen chloride and the oxide, oxyacid or oxychloride of the element involved.
PCl5 + H2O POCl3 + 2HCl
POCl3 + 2H2O (HO)3PO + 3HCl
(H3PO4)
SiCl4 + 4H2O (HO)4Si
(HO)4Si SiO2.2H2O
2S2Cl2 + 2H2O 3S + SO2 + 4HCl
Cl2 + H2O HCl + HOCl
UNIT 4: Chemical Periodicity: Groups I & II
s-block elements
These are elements, which have the outermost electrons in the s-orbital. The elements are in
Groups IA and IIA. Group IA elements are known as alkali metals while Group IIA
elements are known as alkaline earth metals.
4.1 GROUP IA: ALKALI METALS
Physical properties
Element Li Na K Rb Cs Fr*
Atomic Number 3 11 19 37 55 87
Electron configuration [He]2s1 [Ne]3s
1 [Ar]4s
1 [Kr]5s
1 [Xe]6s
1 [Rn]7s
1
1st I.E./kJmol
-1- 520 496 419 403 376 ~375
2nd
I.E./kJmol-1
7298 4563 3051 2632 2420 -
Electronegativity 1.0 0.9 0.8 0.8 0.7 -
Metal radii/pm 157 186 227 248 265 -
Page 29
Ionic radii/pm 76 102 138 152 167 (180)
4.1.1 General comments
The metals are all very soft and can be cut very easily with a knife. Li is the hardest.
The alkali metals form a homogeneous group of extremely reactive elements which
illustrate the similarities and trends expected within a group.
The physical and chemical properties are dependent on their simple electronic
configuration, ns1 (i.e. all of them have one electron in the outermost shell).
The single electrons can be readily released; they are therefore
strong reducing agents,
extremely reactive, and
most of their compounds are ionic.
The loss of one electron leads to all the elements having an oxidation state of +1.
The metals have a high lustre when freshly cut but tarnish rapidly in air due to reaction
with O2 and moisture.
4.1.2 Trends in their properties
From the above table:
4.1.2a Ionization energy
They have the lowest first ionization energy within any period because of their large
sizes, which make the outermost electron only weekly held by the nucleus.
First ionization energy decreases as the group is descended.
This is due to the shielding effect of the closed shell preceding the outermost shell.
With addition of filled shell as the group is descended the outer electron gets farther
and farther away from the influence of the nuclear charge.
The effective nuclear charge therefore decreases.
The second ionization energy is exceedingly large because the electron being removed is
from a stable noble gas configuration
The formation of M2+
ions is therefore ruled out
4.1.2b Electronegativity
The electronegativity is generally low.
They have the lowest electronegativity within a period
They are therefore electropositive metals.
As a result of their electropositivity they react with non-metals( electronegative
elements) readily to form ionic compounds.
(For the formation of ionic compounds the electronegativity difference between the two
elements should be large, usually greater than 1.7 in most cases (See Unit 5).
4.1.2c Metal/ionic radius
They have the largest atomic sizes within a period.
The ionic sizes are smaller than the atomic sizes.
The loss of a single electron results in more protons in the nucleus than elctrons in the
orbitals.
Page 30
The outermost shell has been removed.
The number of protons (i.e. positive charge) in the nucleus is greater than the number
of electrons. The effective nuclear charge on the remaining electrons is therefore
greater than in the atom.
The atomic and the ionic sizes increase down the group because of the addition of
extra shell as the group is descended.
4.1.3 Trends in the chemical properties of the metals
4.1.3a Reactions with air/O2
They all tarnish in air and therefore are stored under oil.
A series of reactions are possible in air: For example, Na
It reacts with O2 in air to form the oxide.
The oxide can absorb moisture to form NaOH.
Both the Na2O and the NaOH can absorb CO2 and get converted to NaHCO3.
The hydrogen carbonate can be decomposed by heat from the sun and get converted
to Na2CO3, which depending on humidity can be hydrated to Na2CO3. 10 H2O.
As the weather becomes dry the hydrated sodium carbonate loses water until it finally
becomes a white powder, Na2CO3. H2O:
Na →Na2O → NaOH → NaHCO3 → Na2CO3 → Na2CO3.10 H2O → Na2CO3.H2O
The process by which Na2CO3 .10 H2O is converted to Na2CO3 .H2O is known as
efflorescence (Not all the water is lost, hence it is not dehydration)
The product obtained when the metals react with pure oxygen depends on the metal:
Li forms normal oxide, 4Li + O2 2Li2O
Na forms both the normal oxide and peroxide,
4Na + O2 2Na2O normal oxide
2Na + O2 Na2O2peroxide
K, Rb and Cs form superoxide, in addition to the normal oxide and the peroxide,
4M + O2 2M2O
2M + O2 2M2O2
M + O2 MO2
All the oxides are ionic and therefore dissolve and ionize in water:
Reactions of the oxides with water,
M2O + H2O 2MOH
M2O2 + 2H2O MOH +H2O2
2MO2 + 2H2O 2MOH + H2O2 + O2
Ionisation of the oxides in water,
M2O 2M+ + O
2-, O has an oxidation number of -2
M2O2 2M+ +O2
2-, i.e. each O has an oxidation number of –1
MO2 M+ + O2
-, i.e. O has an oxidation number of -½
As the metals get larger the tendency to form the higher oxides increases; i.e, as the group
is descended, the tendency to form higher oxides increases.
4.1.3b Reaction with water
They all react readily with water to form their respective hydroxides and hydrogen.
Li is the least reactive and Cs is the most reactive, i.e. the reaction with water becomes
progressively more violent as the group is descended.
Li reacts smoothly.
Page 31
Na darts round violently on the surface of water and forms a silvery ball.
K reacts very violently and the large heat of reaction causes the hydrogen gas
liberated to catch fire and explode.
Rb and Cs react even more violently.
One could predict that the radioactive Fr would be the most reactive.
The general equation for the reaction with water is
2M + H2O 2MOH + H2
All the hydroxides are very soluble in water.
4.1.4 Compounds
The oxides have been discussed above.
4.1.4a Hydroxides
NaOH and KOH are called caustic soda and caustic potash respectively, because of their
corrosive properties.
They are the strongest hydroxides known.
Because they are soluble in water they are also known as alkalis.
It is from this property that the group earns its name as alkali metals.
NaOH, KOH, RbOH and CsOH are very soluble in water but LiOH is the least soluble.
The solubility (in g/100g of H2O) of the hydroxides increases down the group, LiOH,
13.0(25o); NaOH, 108.3(25
o); KOH, 112.8(25
o); RbOH, 197.6(30
o); CsOH, 385.6(15
o).
Although LiOH is a strong alkali it is the weakest of the lot.
Some of the reactions of the hydroxides
They react with acids to form salts,
MOH + HCl → MCl + H2O
They liberate ammonia from ammonium salts,
NaOH + NH4Cl → NaCl +NH3 + H2O
The hydroxides are stable to heat but LiOH decomposes on heating,
LiOH + heat → Li2O + H2O
There are many other reactions, which you will come across in the future lectures.
4.1.4.b Carbonates, bicarbonates, and nitrates
They form water-soluble carbonates, M2CO3 (M = Li, Na, Rb, Rb, Cs), solubility
increases down the group.
The carbonates are thermally stable but Li2CO3 decomposes on strong heating, and
stability increases as the group is descended.
Li2CO3 + heat → Li2O + CO2
With the exception of LiHCO3, which exists in solution, they form solid hydrogen
carbonates.
The hydrogen carbonates are readily decomposed by heat,
2MHCO3 + heat→ Na2CO3 + CO2 + H2O
They form nitrates
LiNO3 decomposes to the oxide and NO2.
Page 32
The others decompose to the nitrites,
2MNO3 + heat → 2MNO2 + O2
On stronger heating NaNO3 decomposes to Na2O, O2 and N2
4NaNO3 + strong heat → 2Na2O + 5O2 + N2
The thermal stability of the nitrates increases down the group.
Nitrates are generally oxidizing agents and their reduction results in the nitrites,
NaNO3 + C + heat → 2NaNO2 + CO2
NaNO3 + Zn + heat → KNO2 +ZnO
4.1.4c Halides and polyhalides
All of them form halides of the type MX, where X = F, Cl, Br, I.
LiF is anhydrous, The other halides of lithium are trihydrate, LiX.3H2O
The halides of the other metals are anhydrous.
The tendency for Li to form hydrated halides is due to the small ionic size.
The heavier metals form poly-halides. Recall that they also form super oxides.
KI + I2 → KI3
The reason I2, which is only sparingly soluble in water, dissolves very readily in KI is
because I2 reacts with KI as in the equation above.
4.1.4d Some differences between lithium and other Group IA metals
Li has the highest melting and boiling points.
Li is harder than the other metals.
Li is the least reactive.
It forms only the normal mono-oxide, whereas the others form peroxides and super-
oxides.
LiOH is the least soluble and the least basic, and therefore forms less stable salts (Recall
that most compounds of Li decompose on heating).
Li is the only metal in the group, which reacts with N2 to form Li3N.
Although we are not discussing complexes, Li forms more stable complexes than the
other metals.
While all the salts of the other metals are soluble, LiF, Li2CO3, and Li3PO4 are insoluble
and LiOH is only sparingly soluble.
The halides of Li are more covalent, while the halides of the others are totally ionic.
Li+ ion is more heavily hydrated because of its small size.
4.2 GROUP IIA: ALKALINE EARTH METALS
Element Be Mg Ca Sr Ba Ra*
Atomic Number 4 12 20 38 56 88
Electron configuration [He]2s2 [Ne]3s
2 [Ar]4s
2 [Kr]5s
2 [Xe]6s
2 [Rn]7s
2
1st I.E./kJmol
-1- 899 737 590 549 503 509
2nd
I.E./kJmol-1
1757 1450 1145 1064 965 979
3rd
I.E./kJmol-1
14847 1731 4910 - - (3281)
Page 33
E’vity 1.5 1.2 1.0 1.0 0.9 -
Metal radii/pm 112 160 197 215 222 -
Ionic radii/pm 31* 72 100 118 135 148
4.2.1 General comments
They are silvery white metals and harder than Group IA metals.
They have higher density.
They have higher melting/boiling points because two electrons are involved in
metallic bonding. This gives a higher binding energy than Group IA metals.
Similar trends in physical and chemical properties are observed as are observed in the
alkali metals, except for the differences associated with their smaller sizes.
They are generally less reactive than the Group IA metals because more energy is
required to remove two electrons.
The reactivity, however, increases down the group.
Their physical and chemical properties are dependent on the electronic configuration
of ns2 (i.e. all the elements have two electrons in the outermost shell).
The loss of the two outer electrons results in all the elements having a fixed oxidation
state of +2.
M M2+
+ 2e
Their compounds are therefore generally ionic.
Be, the first element in the group, is also unique and differs much from other metals
as Li does from other Group IA metals.
The reasons for the uniqueness of Be are:
Be atom and ion are extremely small.
Its electronegativity is relatively high, and
The maximum number of electrons which Be (in Period II) can
accommodate is 8. Other members of the group can have more than 8
electrons due to availability of empty orbitals.
Its charge density is high.
4.2.2 Trends in other properties
Electrons are more tightly held; therefore the first ionisation energy is greater than for
Group IA metals.
Loss of the first electron results in greater effective nuclear charge, which makes the
second ionization energy almost twice the first one.
The third ionisation energy is very high, since it is being removed from a closed shell;
hence M3+
is never formed.
The second ionisation energy of Be is very high, hence Be2+
forms covalent
compounds.
4.2.3 Electronegativity
The electronegativities are low, but much higher than for Group IA.
They still form ionic compounds when they react with non-metals, because the
electronegativity difference is still large.
Page 34
Only BeF2 would have been ionic because of the large electronegativity difference
between Be and F. It, however, has very low conductivity when fused and is
therefore covalent.
4.2.4 Metallic/ionic radii
The radii are much smaller than the radii of Group IA metals but increases down the
group, as a result of additional shells.
The ionic radii of Li+ and Mg
2+, just as those of Be
2+ and Al
3+, are comparable.
o The chemical properties of Li and Mg are therefore similar but similarity is not as
pronounced as within a group.
o This phenomenon is known as a diagonal relationship.
If you recall that size decreases across the period and increases down the group, moving
diagonally these effects cancel each other and there is therefore no marked difference in
properties. Consequently the type of bonds formed and the properties of their compounds are
often similar, even though the oxidation states differ.
4.2.5 Chemical properties
Reactions with water
Be is the least electropositive and therefore the least metallic. Be, therefore, does not
react with water.
Mg does not react with cold water but reacts with steam to give Mg(OH)2 and H2.
The Eo values for the other members are within the range recorded for the Group IA
metals. They therefore react readily with cold water, liberating hydrogen and the
hydroxides.
M + 2H2O M(OH)2 + H2 (M = Ca, Sr, and Ba)
They are, however, less reactive than Group IA; this is because of the lower solubility
of the hydroxides which tends to cover the surface of the metal.
When Mg, for example, is amalgamated with mercury the surface MgO is removed
and the metal reacts smoothly with cold water.
4.2.6 Compounds
4.2.6a Hydroxides
Be(OH)2 is amphoteric.
The hydroxides of the others are basic.
Basic properties increase down the group.
Mg(OH)2 is a mild base and is used to treat acid indigestion.
Ca(OH)2 is called lime water, and is used to test for CO2 (CO2 turns lime water turbid).Ca(OH)2 + CO2 CaCO3 + H2O
white ppt The white precipitate dissolves on passing excess CO2 through the mixture,
CaCO3 + CO2 + H2O Ca(HCO3)2
soluble Ba(OH)2 is called baryta water, and is turned turbid by CO2 as well.
The decomposition temperatures of the hydroxides decrease as the group is
descended.
The hydroxides are less basic than the hydroxides of Group IA.
Page 35
4.2.6b Oxides and peroxides
All the elements react with O2 to form oxides. They react faster when in the powder
form.
They also burn in air to form both oxides and nitrides. Recall that only Li (in Group
IA) reacts with N2 to form the nitride. (Write the formula of magnesium nitride)
Mg burns in air/oxygen with dazzling flame with evolution of large amount of heat.
The dazzling flame is used in flash photography.
The Group IA metals are more reactive with air and oxygen.
Ba forms barium peroxide, BaO2, as well as the normal oxide. Others do not form
peroxides.
Unlike Group IA no superoxide is known.
All the (solid) oxides
- have high melting points; m.p. of BeO is ~2500, MgO is ~2800 oC.
- have very low vapour pressure.
-are good heat conductors.
-are electrical insulators.
They are all therefore used for lining furnaces.
CaO, SrO, and BaO react with water with evolution of heat, e.g.,
CaO + H2O Ca(HCO3)2
soluble This is usually accompanied with swelling, and the calcium hydroxide obtained from this
reaction is known as slaked lime.
4.2.6c Carbonates
The decomposition temperatures of the carbonates are given below.
Carbonate BeCO3 MgCO3 CaCO3 SrCO3 BaCO3
Dec.
Temp./oC
<100 540 900 1290 1360
The carbonates are ionic.
They are insoluble in water, except BeCO3.
All the carbonates can be decomposed by heat.
As can be seen above, the decomposition temperatures increases as the group is
descended. This is because the size of the ions increases down the group. The smaller
cations polarize the large CO32-
anion and therefore introduce some degree of covalency
into the bonding, which makes it easy to decompose. Thus the carbonates of the smallest
Be2+
is the least thermally stable.
4.2.6d The sulphates
BeSO4 and MgSO4 are soluble in water.
CaSO4 is sparingly soluble.
The sulphates of the other metals are virtually insoluble.
Thus solubility decreases down the group.
Page 36
The higher solubility of BeSO4 and MgSO4 is due to the high hydration energies of smaller
Be2+
and Mg2+
ions.
MgSO4.7H2O is Epsom salt and it is used as a laxative.
CaSO4.2H2O is gypsum and can be readily converted to CaSO4.½H2O, which is
plaster of Paris.
Their decomposition temperatures increase down the group, indicating that the more
basic the metal the more stable the sulphate.
BaSO4 is used in medicine in taking the X-ray of the intestine of patients that suffer
from ulcer.
Ba2+
ions (from BaCl2 or Ba(NO3)2, are used to test for SO42-
. White precipitate is given.
CO32-
also gives a white precipitate but the BaCO3 formed dissolves on addition of dilute
HCl.
Ba2+
+ SO42-
→ BaSO4(s) (white precipitate)
Ba2+
+ CO32-
→ BaCO3(s) (white precipitate)
BaSO4 + HCl (there is no visible reaction)
BaCO3 + 2HCl → BaCl2 + CO2 + H2O (dissolves in dilute HCl)
Page 37
UNIT 5: TRANSITION METAL CHEMISTRY
5.1: General comments
There are two transition metal series:
- the d-block, generally referred to as transition metal series
- the f-block, generally referred to as inner transition metal series.
The d-block fall in the centre of the Periodic table in the 4th, 5th and 6th periods (corresponding to
filling the 3d, 4d and 5d orbitals of electrons), between the alkaline earth metals (Group II) and the
boron family element (Group III). There are 10 elements per period, giving 30 transition elements.
The 4th, 5th and 6th period transition metal series are called first, second, and third series
respectively.
There are two f-block series - the lanthanides and the actinides. The lanthanides follow the third d-
series after lanthanum, while the actinides follow actinum (period 7). There are 14 elements per
series, giving 28 f-block elements. There are therefore 58 transition metals altogether.
Our interest in this course is in the first row d-transition series, scandium to zinc.
5.2 Definition: A d-transition element may be defined as an element whose atom or at least one
of its ions has a partially filled d-orbital.
Recall that the d-orbital has a degeneracy of 5 i.e. has 5 sub-orbitals defined by the values of the
magnetic quantum numbers. Each sub-orbital accommodates two electrons each, hence 10 electrons
corresponding to the 10 elements in the first d-series.
Physical Properties
Element Atomic
number
Atomic
radii/pm
*Ionic
radii/pm
Density
gcm-3
M.P.
C
B.P.
C
Config. Abundance
ppm
Ca 20 197 100(II) 1.54 839 1484 [Ar]3d04s
2 46600
Sc 21 162 74.5 3.0 1539 2748 [Ar]3d14s
2 25
Ti 22 147 67 4.5 1667 3285 [Ar]3d24s
2 6320
V 23 134 64 6.11 1915 3350 [Ar]3d34s
2 136
Cr 24 128 61.5 7.14 1900 2690 [Ar]3d54s
1 122
Mn 25 127 64.5 7.43 1244 2060 [Ar]3d54s
2 1060
Fe 26 126 64.5 7.87 1535 2750 [Ar]3d64s
2 62000
Co 27 125 61 8.86 1495 3100 [Ar]3d74s
2 29
Ni 28 124 60(II) 8.91 1455 2920 [Ar]3d84s
2 99
Cu 28 128 73(II) 8.95 1083 2570 [Ar]3d10
4s1 68
Zn 30 134 74 7.13 419 907 [Ar]3d10
4s1 76
* For M3+
Page 38
Chemical Properties
Element E'vity Ionisation energies* Oxn E
E
3
1st 2nd 3rd 4th state M2+/M M
3+/M
Ca 1.05 590 1146 4941 6464 +2 -2.87 -
Sc 1.3 633 1235 2388 7130 +3 - -2.077
Ti 1.5 659 1309 2648 4171 +3,+4 -1.63 -1.21
V 1.6 650 1414 2866 4631 +2,+3 -1.18 -0.85
Cr 1.6 653 1519 2992 4861 +2,+3 -0.91 -0.74
Mn 1.5 717 1509 3259 5021 +2,+3 -1.18 -0.28
Fe 1.8 762 1561 2958 5502 +2,+3 -0.44 -0.04
Co 1.8 759 1644 3230 5104 +2,+3 -0.28 +0.40
Ni 1.8 736 1751 3391 5400 +2,+3 -0.25 -
Cu 1.9 745 1958 3556 5681 +2,+1 +0.34 -
Zn 1.6 906 1732 3828 5983 +2- -0.76 -
* in kJmol-1
5.3 General Comments They are all metals and hence display all the characteristics of metals, e.g. malleable, ductile, etc.
Atomic numbers 21-30 (calcium is included for comparison only; calcium is not a transition metal).
Electron configuration: [Ar]3dn4s
2 (n=1-10) except [Ar]3d
54s
1 (for Cr) and [Ar]3d
104s
1 (for Cu)
where the half-filled and fully-filled d configurations respectively are more stable.
Atomic radii: A gradual decrease in atomic radii as one moves from left to right of the series. Here
electrons go into penultimate shell. The d electron shield the outer electrons pretty well from the
increasing nuclear charge, so the effective nuclear charge felt by the outer electrons (4s electrons)
increases very slowly, hence low decrease in size. A minimum seems to be reached because as the d
orbital becomes more than half-filled, electron repulsion force the d-orbital to gradually expand in
size which causes the sizes of the last few atoms to swell.
Ionic radii: They are less than the atomic radii and generally M2+
>M3+
>M4+
.
Oxidation State: The 3d transition metals are characterised by availability of incompletely filled 3d
energy level that is close to the 4s energy level. Electrons in both the 3d and 4s levels are therefore
close to the outer regions of the electron clouds and are available to interact with their surroundings
(i.e. are involved in bonding).
They all therefore exhibit variable oxidation states. The energy required to unpair and promote the
inner d electrons for use in bonding is low (see the ionisation energies). All show oxidation state of
+2 (except Sc) when both 4s electrons are involved in bonding. For oxidation states greater than 2, 3d
electrons are used in addition to both 4s electrons.
IIIB IVB VB VIB VIIB VIIIB IB IIB
Page 39
Sc Ti V Cr Mn Fe Co Ni Cu Zn
7
6 6 6
5 5 5 5 5
4* 4* 4 4 4 4 4
3* 3 3 3* 3 3* 3 3 3
2 2 2 2* 2 2* 2* 2* 2*
1 1 1 1 1 1 1 1
(Important oxidation states in bold; *The most important oxidation state).
The lower oxidation states are generally reducing and the higher oxidation states are oxidising,
particularly where such redox leads to attainment of more stable configuration. Sc3+
attains noble gas
configuration and hence resembles group 3 metals. Zn has +2 state and resembles s-block. The
number of known oxidation states for the remaining elements increases with the number of unpaired
electrons, reaching maximum in manganese and iron. Manganese has the largest number of known
oxidation states (+1 to +7) of all the transition elements. From scandium to manganese, the maximum
oxidation state equals the sum of the number of 3d and 4s electrons, e.g.
Sc Ti V Cr Mn
3d14s
2 3d
24s
2 3d
34s
2 3d
54s
1 3d
54s
2
+3 +4 +5 +6 +7
No correlation between maximum oxidation state and configuration is found beyond manganese.
Generally the highest oxidation states occur in oxo-ions. For Cr, Mn and Fe the highest known
oxidation states are the least stable. Thus the dichromate ion (Cr2O72-
), the permanganate ion MnO4-
and the ferrate ion (FeO42-
) are all strong oxidising agents. The low oxidation states are found in
simple salts and are generally reducing unless in cases where their d configuration is stable (d5 and
d10
).
Melting point/boiling point: They are generally high. The 3d and 4s electrons are used in metallic
bonding, hence the increase up to d3. As pairing occurs there is decrease, i.e. less d electrons are
available for bonding. Cr is relatively low because the stable 3d5 configuration makes it more
difficult for the d electrons to be made available for metallic bonding. Mn is abnormally low partly
due to its complex crystalline structure which involves less efficient packing of the metallic atoms. It
is possible that the d-electrons are involved, to some extent , in covalent bonding within the Mn
metallic lattice.
Density: Generally high, increasing across the series. This is typical of most metals.
Abundance: Odd atomic number metals are less abundant than the even atomic number metals.
Page 40
Ionisation energy: The first ionisation energy gradually increases across the series. The second
ionisation energy is larger than the first and also increases across the series. Both are higher than for
Ca. Abnormal increases are observed for the second ionisation energy in Cr and Cu corresponding to
the unusual stability of half-filled and fully filled orbital,
i.e. 3d54s
1(Cr) and 3d
104s
1(Cu)
e 3d
5(Cr
I) and 3d
10(Cu
I).
The 3rd ionisation energy for Ca is greater than the 3rd for all the transition series because the 3rd
electron from Ca is removed from a noble gas configuration. An increase of the 3rd ionisation energy
is observed across the series but note a bigger increase on Mn, a depression on iron, and a large
increase on Zn. Explain these observations.
The 4th is generally much larger than the 3rd in all but unusually high on Fe. Why? Thus generally
successive ionisation energies of the transition metal atom increase gradually. The big increase from
3rd to 4th and the gradual increase between 2nd and 3rd explain why +2 and +3 oxidation states are
common.
Electrode potential: Standard reduction potential increases (becomes less negative) across the series.
These E(M
2+/M) indicate a decreasing tendency to form individual cations across the series. In this
regard Mn is an exception which is the strongest reducing agent, i.e. Mn Mn2+
+ 2e is most
favoured. The reason is the attainment of stable d5 configuration.
E values indicate that all metals should be reducing agents (except Cu) and should react with
dilute non-oxidising acids (they are above H in the electrochemical series). Ti and V are passive
to dilute non-oxidising acids at room temperature. Cu is the least reducing, i.e. Cu2+
is the
strongest oxidising agent in aqueous solution.
For M3+
/M system, the Mn3+and Co
3+ ions are the strongest oxidising agent in aqueous solution.
Ti2+
and Cr2+
will liberate hydrogen from a dilute acid.
2Cr + 2H 2Cr + H (g).(aq)
2+
(aq) (aq)
3+
2
Electronegativity: Their electronegativities are intermediate between s-block and p-block element
and therefore can form both ionic and covalent bonds. Electronegativity increases from Sc to Zn.
The elements thus become less metallic in character from left to right. (This is also reflected in the
tendency to positive redox potentials on crossing the series).
5.4 Other general properties
Formations of interstitial compounds: The transition metals form interstitial compounds with non-
metals with small radii, e.g. H (37 pm), B (79 pm), C (77 pm) and N (73 pm). The structure of an
interstitial compound is different from that of the original metal, hence there are strong bonding forces
between the metals and the non-metals. Interstitial compounds often have non-stoichiometric
compositions and do not correspond to the normal oxidation states of the metal.
Examples: TiH1.7, PdH0.6 , VH0.56 . They are therefore not strictly compounds. However, there are
examples of some stoichiometric interstitial compounds, e.g. TiC, TiN, VN, Mn4N, Fe8N, TiH2. A
number of oxides also fall into this category.
Generally interstitial compounds are
inert chemically except towards oxidising agents
very hard
high melting e.g. TiC, 3410C; TiN, 3200C
good electrical conductors (although slight reduction due to less mobility of electrons)
Page 41
less malleable because the gliding planes are "pegged" in position by the non-metallic atoms.
Carbon steels are interstitial compounds. The interstitial carbon atoms prevent the iron atoms in the
lattice from readily sliding over one another. This makes the iron harder and stronger but more brittle.
Paramagnetism: This is the attraction of magnetic lines of force by a compound. Where the
electrons are all paired there is no attraction and such a compound is said to be diamagnetic. There is
some permanent magnetic effect in some metals and compounds, e.g. Fe, Co, Ni. These metals can be
magnetised. They are said to be ferromagnetic. Ferromagnetic metals can be magnetised.
A paramagnetic compound is attracted by a magnet. This is due to the spin of one or more unpaired
electrons in an atom. The spinning of electrons about their axis generates magnetic moment. The
magnetic moment of an ion increases with the number of unpaired electrons. For the first row
transition metals, magnetic moments increase from Sc to Mn and then drop off.
V3+
Cr3+
Mn3
+
Fe2+
Ion Sc3+
Ti3+
Ti2+
V2+
Cr2+
Mn2
+
Fe2+
Co2+
Ni2+
Cu2+
Zn2+
Configuration d0 d
1 d
2 d
3 d
4 d
5 d
6 d
7 d
8 d
9 d
10
No of unpaired
electrons
0 1 2 3 4 5 4 3 2 1 0
Magnetic moments 0 1.73 2.83 3.87 4.90 5.92
The number of unpaired electrons can be derived by using box configuration. Recall that the d orbital
has a degeneracy of 5 (i.e. 5 sub-orbitals). Electrons are arranged following the Hund's rule.
For example, d6 ______ 4 unpaired electrons
The magnetic moment can be calculated by using the formula
= 2 s(s + 1) B.M. ...Eqn. 2
where s is the sum of the spins of all the unpaired electrons, i.e. n x ½ (n = number of unpaired
electron).
Example: Calculate the magnetic moment of Mn3+
. Configuration of Mn3+
is [Ar]3d4 or simply 3d
4
In box
form:
There are therefore 4 unpaired electrons,
= 4(4 + 2) (see equation 1)
= 24 = 4.90 B.M.
Alternatively using equation 2
s = n x ½ = 4 x ½ = 2
= 2 1s s( ) = 2 2 3( )
Page 42
= 2 6 = 4.90 B.M.
5.5 Formation of complex ions Transition metal ions form complexes with polar molecules or ions known as ligands. Ligands are
either negatively charged or they have an atom with lone pair of electrons. Such atoms are known as
donor atoms. Examples of donor atoms include O, N, S, P, etc. Some of the ligands of interest are
CN-, H2O, NH3, Cl
-. When a set of ligands bond to a central metal ion the compound formed is
known as a complex. A complex can be neutral, anionic or cationic. Neutral ligands are normally
attached to the central metal ion by means of coordinated bond. Complexes are therefore also
referred to as coordination compounds. The number of ligands attached to the central atom is called
the coordination number/stoichiometry. Coordination compounds are not restricted to transition
metals only; other metal ions do form. However, for a metal ion to form a coordination compound,
the following conditions have to be fulfilled:
the size of the cation must be small;
the cation must carry a comparatively high charge;
there must be empty orbitals of the right energy.
These conditions favour acceptance of lone pairs of electrons. Where a particular metal forms more
than one ion, the one with higher charge forms more stable complexes, i.e. it has greater attraction for
electrons, e.g. Co2+
does not form a stable complex with ammonia, Co3+
does.
N and O donor atoms form more stable complexes. At oxidation state +2 complexes of the latter half
of the first transition series form complexes with a particular ligand with progressively increasing
stability from Mn2+
to Cu2+
. Zn2+
is, however, less stable than Cu2+
.
Complexes are usually written within a square bracket, which represent its coordination sphere.
Any species outside the coordination sphere is not part of the complex.
Consider a complex [Co(NH3)6]Cl3. Here the complex species in this salt is [Co(NH3)6]3+
, a cation.
Hence [Co(NH3)6]Cl3 is a cationic complex, even though it is a neutral salt.
What information can be derived from this complex?
The coordination compound is hexaamminecobalt(III) chloride.
The formula is [Co(NH3)6]Cl3 even though it was originally formulated as
CoCl36NH3.
The complex ion is [Co(NH3)6]3+
.
o The central atom is cobalt.
o The oxidation state of cobalt is +3.
o The ligands are six ammonia molecules.
o The coordination number is 6.
o The structure/geometry/stereochemistry is octahedron, i.e.
Co
NH3
NH3
NH3
NH3
H3N
H3N
Co
NH3
NH3
NH3
NH3
H3N
H3N
3+3+
The arrows represent coordinate bonds or dative bonds.
5.6 Types of Ligands
Page 43
Simple ligands such as H2O, NH3, CN-, Cl
- are called monodentate ligands, since they can only form
one coordinate bond. Monodentate means "one tooth". Bidentate ligands have "two teeth" i.e. they
form two coordinate bonds.
An example of a bidentate ligand is ethylenediamine, H2N-CH2-CH2-NH2(en). The formula for
[Co(en)3]3+
is
H2C CH2
H2N NH2
Co
CH2
H2C
NH2
H2N
CH2
CH2
H2N
H2N
3+
There are tridentate (three teeth, 3 coordinate bonds); tetradentate (for 4 coordinate bonds);
pentadentate (for 5) and hexadentate (for 6), etc.
5.7 Charges on a complex The charges on an ion are delocalized over the whole complex ion. The charge is the algebraic sum
of the charge on the central ion and the charges on the ligands. E.g. [Fe(CN)6] : Here CN- carries -1
charge; the complex carries -4. Since there are 6 CN- ions, i.e. -6 charge, then the Fe carries +2
charge. Similarly in [Fe(H2O)6]3+
, Fe has +3 charge since H2O is a neutral (zero charge) molecule.
The overall charge on complex ions are calculated thus:
[Fe(CN)6]3-
: charge = (2+) from Fe + 6(-1) from CN- from CN
- = -4
[Fe(H2O)6]3+
: charge = (3+) + 6(0) = +3
The oxidation state of the central atom can also be calculated this way:
[Fe(CN)6]3-
: Let the oxidation state of Fe = x
x + 6(-1) = -3
x – 6= -3
x = +3.
5.8 Chelation
Some ligands are able to form ring structures with central atoms. This property is known as chelation
and the resulting compound is known as chelating compounds. Ethylenediamine is an example of a
chelating ligand.
5.9 Coordination number (C.N.) The structure/geometry/stereochemistry of a coordination compound depends on the coordination
number.
The most common coordination numbers are 6 and 4.
C.N. GEOMETRY EXAMPLE
2 Linear [CuCl2]-, [Cl-Cu-Cl]
-
[Ag(NH3)2]+, [H3N-Ag-NH3]
+
3 Trigonal Not common
4 Tetrahedral [Ni(CO)4]
4 Square Planar [Ni(CN)4]2-
5 Square pyramidal TlCl5
Page 44
5 Trigonal bipyramidal [CuCl5]3-
6 Octahedral [Co(NH3)6]3+
5.10 Stability of a complex The relative stability of a complex is measured by its stability constant. When stability constants are
large, complex is stable; when small, complex is unstable.
Consider
[Fe(H2O)6]3+
+ 6CN-
[Fe(CN)6]3-
+ 6 H2O
kstab =[[Fe(CN)6]
3-]
[[Fe(H2O)6]2+
][CN-]6 = 10
37dm
18mol
-6 at 298 K
This stability constant is very large and indicates that the formation of the hexacyano complex goes
virtually to completion. It also shows that [Fe(CN)6]3-
is more stable than [Fe(H2O)6]3+
. Stability
constants are also referred to as formation constants.
The log of stability constants, log kstab., are often tabulated as indicated in the table below:
COMPLEX logkstab
[Mn(en)3]2+
5.7
[Fe(en)3]2+
9.6
[Co(en)3]2+
13.8
[Ni(en)3]2+
18.1
[Cu(en)3]2+
18.7
Recall that the stability of the complexes increases across the series from manganese to
copper.
5.11 Colour Compounds and ions of the d-block elements tend to be coloured. Why are they coloured?
When white light falls on a substance it may be totally reflected. Such a substance appears white. If
it is totally absorbed the substance appears black. In certain substances certain wavelengths are
absorbed and others are reflected. Such substances appear coloured. The colour is due to the
reflected wavelengths.
The absorption of light is due to the presence of unpaired d-electrons in the transition metal ions.
Aqueous solutions of Sc3+
and Zn2+
are colourless. These ions do not contain unpaired electrons.
Unpaired electrons absorb light energy by becoming promoted from the ground-state energy levels to
their excited state energy levels.
The wavelength of the light absorbed depends on the energy difference E between the ground
state and excited state.
E
Ground state
d-electron in ground state
h
Excited state
Page 45
In a transition metal octahedral complex six ligands approach the metal ion. As they approach
the degeneracy of the d-orbitals split into two:
E = h
= frequencyh = Plunck's constant
dn
t2g
eg
The separation E depends on a number of factors:
the ligand
the metal ion
the charge on the metal ion (oxidation state)
the structure of the complex.
As each of the above changes, E changes, i.e. the frequency of the light absorbed, , changes and
hence colour changes. Examine the table below to illustrate the above factors.
Variation of ligands Variation of metal ions
Complex Colour Complex Colour
[Co(H2O)6]2+
pink [Co(H2O)6]2+
pink
[CoCl4]2-
blue [Fe(H2O)6]2+
pale green
As ligand changes from H2O to Cl-
colour changes
[Cu(H2O)6]2+
[Ni(H2O]6]2+
blue
green
As the metal ions change colour changes.
Note that the ligand is the same.
The charge on ion The structure of complex
Complex Colour Complex Structure Colour
[Fe(H2O)6]2+
pale green [Ni(H2O]6]2+
Octahedral green
[Fe(H2O)6]3+
pale yellow [Ni(HDMG)2] Square Planar red
Here the oxidation state of Fe
changes from +2 to +3
The colours of gemstones are due to the presence of traces of d-block ions:
Gemstone Colour Ion
Emerald green Cr3+
blue sapphire blue V3+
or Co3+
Ruby red Cr3+
Amethyst purple Mn3+
Topaz yellow Fe3+
Turquoise blue-green Cu2+
Page 46
5.12 Catalytic Activity Catalytic activity is due to the ease with which electrons are lost and gained or moved from one
energy level to another. Many transition metals, or their compounds, are important catalysts.
For example:
nickel in hydrogenation;
vanadium(V) oxide, V2O5, in the contact process for the production ofsulphuric acid;
iron in the Haber process to synthesise ammonia;
catalysts containing cobalt, platinum, palladium, rhodium or titanium are employed in many
industrial processes for the production of organic compounds from unsaturated hydrocarbons.
The transition metals are therefore very important in the chemical industry.
5.13 Hydrolysis of transition metal ions Hydrolysis is reaction with water. Transition metal salts with strong acids, e.g. chlorides,
sulphates and nitrates, give acidic solutions when dissolved in water. For the same metal, the
acidity increases with increase in the charge carried by its ions. Example, for the same
concentration of Fe2+
and Fe3+
in water, the Fe3+
solution will be more acidic. For ions carrying
the same charge there is an increase in acidity in order of increasing atomic number of the
transition metal. Hydrolysis occurs in a number of other non-transition metal ions. Generally
hydrolysis process can be represented as
[M(H2O)x]n+
+ H2O [M(H2O)x-1OH](n-1)+
+ H3O+
It is the formation of H3O+ in water which makes the aqueous solution acidic.
5.14 Naming of transition metal complexes
Ligands
(a) Ions
Cl- chloro CN
- cyano
Br- bromo SCN
- thiocyanato
I-
iodo NO2
- nitro
(b) Neutral
H2O aqua/aquo NH3 ammine
(c) Number of ligands
Two, bi-(or di-); three, tri-; four, tetra-; five, penta- and six, hexa- as prefixes to the
ligands.
Complexes
(a) Cationic:
Metals bear their ordinary names, followed by their oxidation state (in Roman numerals) put between
brackets e.g. Fe2+
, iron(II), Cr3+
, chromium(III).
Anionic
Metals bear their latin names ending with -ate, followed by oxidation state in brackets, e.g. iron
becomes ferrate, chromium becomes chromate, copper becomes cuprate, etc.
Sequence of naming
Name the cation first, then the anion, where the complex is a salt.
(a) Cationic complexes
Page 47
[Co(NH3)6]Cl3: Here the complex ion is [Co(NH3)6]3+
, a cation, and the anion is Cl-. The anion
is outside the coordination sphere therefore it is not a ligand in this complex. It is a chloride ion.
Note that there are six ammonia molecules as ligands, hence hexa-ammine (or hexaammine).
This complex is named hexaamminecobalt(III) chloride. Note that the complex cation is
written as one word and there is a space between the cation and anion.
[Cu(H2O)6]2+
hexaaquacopper(II) ion
[FeCl(H2O)5]+ pentaaquachloroiron(II) ion
(b) Anionic complexes
K3[Fe(CN)6]: The cation here is K+ and the complex ion carries a negative charge,
[Fe(CN)6]3-
. Its name is potassium hexacyanoferrate(III)
[CoCl4]2-
tetrachlorocobaltate(II) ion
[PtCl6]2-
hexachloroplatinate(IV) ion
(c) Neutral complexes
[Ni(CO)4] tetracarbonylnickel(0)
[Pt(NH3)2Cl4] diamminetetrachloroplatinum(IV)
You can also write the formula of a complex from its name:
hexaaquatitanium(IV) [Ti(H2O)6]4+
tetrabromocobaltate(II) [CoBr4]
2-
5.15 Trends in the oxides of transition metals Generally oxides at low oxidation states are basic, those of intermediate oxidation states are
amphoteric and those at high oxidation states are acidic. ZnO is, however, amphoteric, even
though the oxidation state of zinc is +2. For manganese, for example, known oxides are
MnO - basic, Mn2O3-basic, MnO2--amphoteric, Mn2O5 and MnO3 are rather unstable but would
be expected to be acidic; Mn2O7-strongly acidic. Mn3O4 is a mixed oxide, MnO.Mn2O3 i.e.
manganese(II)manganese(III) oxide.
Page 48
UNIT 6: CHEMICAL BONDING
6.1: Trends in chemical bonding
A chemical bond is a force that acts strongly enough between atoms or groups of atoms to
hold them together in a different species that has measurable properties.
The types of chemical bonds formed by atoms of different elements can be related to the
positions of the elements in the periodic table.
6.2 Bond types
6.2.1 Metallic bond
Metals other than those in the p, d and f blocks have only one or two electrons in their highest
energy levels. In general all metals give up their outer electrons more easily than non-metals.
In metallic bonding each metal atom contributes its valence electrons to what has been called
―a sea of electrons‖. These valence electrons once contributed do not belong to any
particular metal atom; the electrons are delocalized.
Metallic bonding is therefore the attraction between positive metal ions and surrounding
freely mobile electrons. These electrons are from s (for Groups I and II), s and p (for p-block
metals), s and d (for d-block metals) and s and f (for f-block metals) orbitals.
Thus a metallic crystal can be pictured as an assembly of spherical atoms packed together and
bonded to each other equally in all directions.
e- e
-
e-
e-
e-
e-
e-
e-
+ ++
+ +
+ +
+
cations
sea of electrons
+
++
+
e-
e-
e-
e-
e-
The energy involved in metallic bond is called binding energy.
The higher the valence electrons involved in metallic bonding the larger the binding
energy and the higher the m.p. and b.p. of the metal.
The binding energy also dictates whether the metal is soft or hard. Na is softer than
Mg and Mg is softer than Al where 1, 2, 3 valence electrons respectively are involved
in metallic bonding.
6.2.2 The ionic bond
Ionic bonding is the attraction between positive and negative ions.
Page 49
Ionic compounds are collections of ions held together by electrostatic attraction
between cations and anions.
In ionic bonding metals donate their valence electrons to non-metals such that both
attain a stable noble gas configuration according to the octet rule. The octet rule
states that atoms tend to combine by gain, loss, or sharing of electrons so that the
outer energy level of each atom holds or shares four paired electrons.
Example: the formation of NaCl
2,8,1 2,8,7 2,8 2,8,8
1s22s
22p
63s
1 1s
22s
22p
63s
23p
5 1s
22s
22p
6 1s
22s
22p
63s
23p
6
[Ne]3s1[Ne]3s
23p
5[Ne] [Ar]
Note that the configurations of the ions formed are also written. Thus, just as configurations
can be written for atoms they can be written for ions as well.
Ionic solids are stable, high – melting substances. They are non conductors when in solid
state but are strong electrolytes when molten or in aqueous solution.
6.2.3 Covalent bonding
A covalent bond occurs when two atoms of non-metals contribute one electron each to bond
formation. Covalent bonding is therefore based upon electron sharing and is the attraction
between two atoms that share electrons.
2,8,7 2,8,7 2,8,8; 2,8,8
This is an example of a single bond, where two atoms are held together by sharing two
electrons. Double, triple, or multiple covalent bonds are possible by sharing 4, 6 or more
electrons by two atoms. Quadruple bonds are rarely formed.
N N
N N
8 electrons 8 electrons
This is a triple bond
N N
NaCl
x x
x x
xxx Cl
x x
x x
xxxNa
++
Cl Cl
x x
x x
xx
xCl
Cl
x x
x x
xx Clor Cl Clor
Cl
x x
x x
xx x
Page 50
O C O O C O
8 electrons 8 electrons
8 electrons
The structural formula of CO2 is O C O
Covalent compounds could exist as gas, liquid or solid. Generally they have low melting
points but the melting points could be unusually high depending on the molecular mass and
on the strength of intermolecular bonds that exist between them. (See your CHE101 notes).
6.2.4 Variation in bond types
Non-polar and polar covalent bonds:
In molecules like H2, Cl2, Br2, F2 and N2 the bond electrons are shared equally. Such
molecules are said to be non-polar.
Covalent compounds where the bond electrons are not shared equally are said to be polar.
A polar molecule is a dipole- a pair of opposite charges of equal magnitude at a specific
distance from each other. The entire molecule is electrically neutral.
Examples are HF and H2O
H
F polar covalent bond
Bonding continua
The non-polar covalent bond is at one end of a continuum of variation in the polarity of
bonds. The other end is the completely ionic bond. Bonding in most compounds, either ionic
or covalent, is not 100% covalent or 100% ionic. In most compounds the bond is in between-
anywhere along the continuum of bonding from 100% covalent to 100% ionic. There is not
likely to have a compound that is 100% ionic.Most ionic compounds are polarized, whereby
some covalency is introduced into a bond that is presumed to be ionic. The cation attracts
electron density of the anion, causing it to be somewhat unsymmetrical, or polarized.
Polarization
The polarization of an ion is the distortion of its electron cloud by an ion of opposite charge.
Cations, being small and having high charge density, tend to attract the electron
clouds of anions.
The smaller the cation, the higher its charge density and the greater its polarizing
ability and the more it draws electron density into the region between itself and the
anion. This results in increase in covalent character of the bond.
Page 51
+-
Idealized 100% ionic bond
+ -
Polarized, partly covalent, ionic bond The charge-to-size ratio of a cation (obtained by dividing the charge by its ionic radius) is a
relative measure of the polarizing ability of a cation.
The larger the charge-to-size ratio of an ion, the greater the degree of covalent
character in its bonds. The ratios of charge-to-radii of Be2+
and Ca2+
is 2/0.035 (= 57)
and 2/0.099 (= 20) respectively. This shows that Be2+
has a greater ability to polarize
an anion than Ca2+
. Most Be compounds, as you will see later, are highly covalent.
6.3 LEWIS SYMBOLS: ELECTRON BOOK-KEEPING
6.3.1 Binary compounds
Lewis symbols are used to show the valence electrons of an atom or ion. To draw the Lewis
symbol for an element we write its chemical symbol surrounded by a number of dots (or
other similar symbols) which represent the atom‘s valence electrons, e.g. Lithium (1s22s
1) has
one valence electron.
Li x
Other members of Period 2 elements have
NeFONCBe BLix
xx x x xx
xxx
xx
xx
x
x
xxx
xx
xxx
xx
xx
xx
x xxxxx
Thus, the group number for the representative elements is equal to the number of valence
electrons.
Recall the octet rule, which states that when atoms react, they tend to achieve an outer shell
having eight electrons (the noble gas configuration). The octet rule applies only to the
representative elements (the first 18 elements in the Periodic Table). In general, it does not
work with transition metals.
Lewis symbols in ionic bonding, e.g. NaCl (See page 36)
Lewis symbols in covalent bonding, e.g. Cl2 (See page 36)
Chlorine gas is made up of two chlorine atoms hence chlorine is a diatomic molecule. The
structural formula is Cl—Cl.
In most of the compounds in which they occur carbon forms four covalent bonds, nitrogen
forms three and oxygen forms two:
Page 52
C
H
HH
H
N
H
HH O
H
H
or
C
H
HH
H
N
H
HH O
H
H
x x
x xx
xxx
x
6.3.2 Multiple Bonds
The bond produced by the sharing of one pair of electrons between two atoms is called a
single bond. There are, however, many molecules in which more than one pair of electrons
are shared between atoms, e.g. N2 (See pages36-37)
6.3.3 When the octet rule fails: exceptions to the octet rule:
The atoms in some molecules cannot obey the octet rule because there are too few or too
many electrons.
This happens when the atom forms more than four bonds, e.g. PCl5 and SF6 and also in
CIF3. There are five P—Cl bonds, six S—F bonds and three Cl—F bonds respectively.
Since each covalent bond requires the sharing of a pair of electrons, phosphorus and
chlorine have 10 electrons each and S has 12. The Lewis formulae are
P
Cl
Cl
Cl
Cl
Cl
S
F
F
F
F
F
Cl
F
F
F
extremely stable10e in valence shell
F
Elements in Period 2 such as carbon or nitrogen, never exceed an octet simply because
their valence shells, having n = 2, can hold a maximum of only 8 electrons.
Elements in Periods 3 and above, however, sometimes do exceed an octet, because their
valence shells can hold more than 8 electrons.
Period 3, n = 3 hold maximum 18 electrons
Period 4, n = 4 hold maximum 32 electrons
In some molecules (but not many), an atom has less than an octet. The most common
examples are compounds of Be and B.
Page 53
ClBe Cl Be Cl
ClB Cl B Cl+ 3
+ 2
4e around Be
6e around B
Compounds with unpaired electrons: Some compounds exist in which one or more
electrons remain unpaired. In most the total of the valence electrons of the central atom
and the atom bonded to it is an odd number, e.g. ClO2 has a total of 19 valence electrons
(6 from each of the two oxygen atoms and 7 from the chlorine atom.) The compound is
paramagnetic, corresponding to 1 unpaired electron.
A reasonable Lewis structure is
O Cl O A gas
This compound is unstable and explosive.
6.3.4 Lewis structures for molecular compounds and polyatomic ions
To write a Lewis structure one must know the arrangement of the atoms, i.e. which atoms are
directly bonded to each other? Is SO2 arranged like SOO or OSO? These
arrangements can be predicted using the following guidelines:
Write the correct arrangement of the atoms.
Smaller, more electronegative non-metal atoms surround larger, less electronegative
non-metal atoms.
Oxygen, hydrogen, and/or halogen atoms often surround a central metal or non-metal
atom in a symmetrical arrangement.
Carbon atoms are usually bonded to each other.
Oxygen atoms are bonded to each other only in peroxides (or superoxides).
In most acids, such as H2SO4 and in many other compounds that contain oxygen and
hydrogen atoms, the hydrogen atoms are all bonded to oxygen atoms.
OHOSO
HO OO
HON O
OClO
O
OCO
Count the total number of valence electrons by
adding the number of valence electrons
subtracting one electron for each unit of positive charge or adding one electron for
each unit of negative charge
(It helps to know the group of the elements to fix the number of valence electrons.)
SOH HNO ClO CO E.g.42342
Page 54
Assign electrons to each covalent bond. E.g. How many dots, representing electrons, must
appear in the Lewis structures of SO3, NO3- and NH4
-
SO3 : S (Group VIA) contributes 6 x 1 electrons = 6
O (Group VIA) contributes 6 x 3 electrons = 18
24e-
NO3
- : N (Group VA) contributes 5 x 1 electrons = 5e-
O (Group VIA) contributes 6 x 3 electrons = 18e-
Add another electron for the –1 charge = 1e-
24e-
NH4
: N (Group VA) contributes 5 x 1 electrons = 5e-
H (Group IA) contributes 1 x 4 electrons = 4e-
Subtract one electron for the +1 charge = 1e-
8e-
Distribute the remaining electrons so that each atom has the appropriate number of non-
bonded electrons:
for period 2 elements (except Be and B) this is the number of electrons needed so that
each atom is surrounded by an octet (i.e. 8 electrons);
for Period 3 and beyond (except Al) this is often the number of electrons needed to
complete an octet, although extra electrons can also be placed around atoms of these
elements when they are the central atoms in compounds, (atoms bonded to a central
atom usually obey the octet rules), e.g. Write the Lewis structure for the SO4
-2 ion.
The skeletal structure is given below:
O O
S
O O
Total number of electrons = 6e- (from S) + 24e
- (from four O atoms)
= 30e-
Add 2e- for the –2 charge 2e
-
32e-
Electron distribution in the skeletal structure is done by placing a pair in each bond:
The final structure has 32 dots and each atom obeys the octet rule. The final structure
is therefore
Page 55
S OO
O
O
2_
O
O2
_
or
O
SO
When, sometimes, you find that there are either too few electrons to complete the octets
of all the atoms or there are electrons left over after all the octets have been filled, apply
the following rules:
When there are insufficient electrons to give each atom an octet, create a multiple
bond (recall that Be, B and Al are exceptions.) (Multiple bonds can be written
between C, N, O, S, Se and P atoms);
when electrons are left over, they are always placed on the central atom, in pairs, e.g.
Write the Lewis structure for the air pollutant SO3
O
O
SO
O
O
O S
Note that there is no octet around S. We cannot add more dots, thus we move a pair of
electrons that solely belong to one of the O atoms to a SO bond so that they can also
be counted as belonging to S, i.e. a double bond is placed between S and one of the
oxygens.
O
O
O S
O
O
O S
O
O
O Sor
6.3.5 Resonance
N N O or N N ON2O can be written as
O O O or O O OO3
Page 56
C OCO32-
O
O
C O
O
O
C O
O
O2- 2- 2-
or or
All these possible structures are accepted to be correct to a certain extent, but none of them
adequately represents the correct structure of each of the species. Lewis structure is not
completely adequate to explain these possibilities. All the bond lengths are equal, even
though the single bonds are expected to be longer than the double bonds. The real structure
of each of the examples above is a mixture of all the possible structures shown.
orBenzene
The ‗mixing‘ of structures is called resonance and the resulting structure is called a resonance
hybrid. The actual molecule is always the same. There is only electron redistribution.
Sometimes a dashed or dotted line in a single structure is used to indicate resonance, e.g.
O O O
or
6.3.6 Rules for writing resonance structure
The sequence of atoms in each resonance structure must be the same, i.e. the same atoms
must be connected to the same other atoms, e.g.
are not resonance structures for the same compound.
All resonance structures for the same molecule must have the same total number of
valence electrons.
Example: Write the possible resonance forms of nitryl chloride, NO2Cl, in which
nitrogen is the central atom.
The structure is
Total number of valence electrons = 24. With 6 electrons in the three single bonds, 18
electrons remain to be distributed. For complete octets on each atom, 20 electrons are
required (7 for Cl, 5 for N, 6 each for the O atoms), two more than we have. Therefore,
N C O H and H N C O
O N O
Cl
Page 57
one double bond must be used. This has to be NO double bond (NCl double bond is
not possible). This gives two resonance forms.
Cl
N
OO
Cl
N
OO
Cl N
O
O
or
6.4 Shapes of molecules (Valence Shell Electron Pair Repulsion Theory – VSEPR
Theory)
VSEPR theory uses repulsion between electron pairs as the basis for predicting molecular
geometry.
To apply this theory, molecules and ions are classified according to the number of bonding
electron pairs and lone pairs surrounding central atoms. The predicted molecular geometry is
the one that places the atoms or groups bonded to the central atom, as well as the lone pairs,
as far apart as possible.
Let us examine a molecule ABn where A is the central atom.
For n=1 AB can only be linear, whether or not electron pairs are present. AB, e.g.
HCl
H Cl
For n=2 AB2 contains two shared electron pairs. Obviously they achieve the greatest
distance from each other if the AB bonds are on opposite sides in a linear
molecule, BAB.
For n=3 AB3 BAB angles of 120 place the bonding electron pairs at the greatest
distance from each other, i.e. a planar molecule, with A at the centre of an
equilateral triangle; and B at the corners.
A
B
B
B For n=4 AB4 is tetrahedral with bond angles at 109.47.
Page 58
B
AB
B
B
For n=5 AB5 is triangular bipyramidal
Be
Be
Be
A
Ba
Ba
Ba = axial BBe = equatorial B
<BaABe = 120o
<BeABa = 90o
For n=6 AB6 is octahedral B
BB
B B
A
B
<BAB = 90o
In predicting molecular geometry by VSEPR theory, double and triple bonds are treated like
single bonds, e.g. methanal, H2C=O, is classified as AB3 molecule. In H2C=CH2 the carbon
atom is treated as A of an AB2 situation where one of the B‘s is =CH2. Double bonds take up
more space around A than single bonds because their greater electron density repels the other
bonding electrons. As a result, the bond angles are distorted from the ideal angles above.
H
H
O118o
120o
CC C
H
H
H
H121.3
o
Triangular planar molecule A planar molecule
6.4.1 Rules for using VSEPR Theory
Write the correct Lewis structure for the molecule and determine whether or not there are
any lone electron pairs present on the central atom. If there are no lone pairs, the
molecule is of the ABn type
Page 59
ABn
n=1
n=2
n=3
Linear
Linear
Trigonal planar
A B
B A B
B A
B
B
n=4 n=5
n=6
Tetrahedral Trigonal bipyramidal
octahedral
B
A
B
B
B
B
B
A
B B
B
BB
BB
A
B
B
Example: Use VSEPR to predict the geometry of
(a) PF5 (b) SO42-
(c) BeCl2(g)
(a) P, Group V, Period 3 has 5 valence electrons. Some of the electrons can occupy vacant
3d orbitals, the P atom can accommodate more than an octet of valence electrons. There
are no lone pairs of electrons in the P atom.
P
F
F
F
F
F
PF5 is an AB5 molecule and should have triangular (trigonal) bipyramid geometry.
b) S is in Group VI (Period 3). There is no lone pair on the S atom (from the Lewis
structure) and therefore it is an AB4 ion. The geometry is tetrahedral.
O
O
O O
S
2-
c) Be has 2 valence electrons and the Lewis structure shows no lone pair electrons or the
central Be atom.
BeCl2 is AB2 type molecule. It is linear. (This structure is for gaseous BeCl2).
Page 60
6.4.2 VSEPR Theory in molecules with lone-pair electrons on the central atom
Like bonding pairs, lone pairs repel each other. There is also repulsion between lone pairs
and bond pairs. This leads to arrangements in which all electron pairs – lone and bonding –
are arranged as far as possible from each other. Thus bonding and lone pairs assume the
same general arrangements as shown earlier. However, because in molecular geometry we
are looking only at the positions of atoms, replacing an atom with a lone pair changes the
shape of the molecule, e.g. CH4, NH3 and H2O molecules each has 4 electron pairs around a
central atom. Each has a different molecular geometry but all derive their geometry from the
AB4 tetrahedron.
From the angles shown in the above structure it is evident that
lone pairs repel
lone pairs
more
than
lone pairs repel
bonding pairs
more
than
bonding pairs repel
bonding pairs
or
lone pair - lone
pair
repulsion
>
lone pair - bond
pair repulsion
>
bond pair - bond
pair repulsion
NH3 is AB4-type molecule where one of the B‘s is replaced by a lone pair. Such a molecule
is represented as AB3E (E = lone pair). H2O is AB4-type with two B‘s replaced by lone pairs,
hence AB2E2.
Lone pairs repel bond pairs of AB resulting in BAB bond angles reducing. Hence
HCH angle in CH4> HNH in NH3> HOH in H2O.
In general:
Cl ClBe
Page 61
AB2E - angular/bent AB3E -
AB4E - distorted tetrahedral AB5E
AB2E2 AB3E2
AB4E2 AB2E3
-
- -
- -
T-shape
square planar Linear
square pyramidal
angular/bent(or distorted tetrahedral
B A
BA
B B
B
B
AB
B
B
BA
BB
BB
B A
B
B
AB
B
triangular pyramidal
e.g. NH3, PCl3
e.g. SF4 e.g. ClF5
e.g. H2O, SCl2
BA
B
BB
e.g. XeF4
B
A
B
e.g. XeF2
Page 62
UNIT 7: Solid state
7.1 Structure and Types of Solids
Binding forces holding particles together in solids may be primary chemical bonds, as in
metals and ionic solids, or they may be secondary van der Waals‘ forces of solids, such as in
ice, paraffin wax and most polymers. In solids, the way the atoms or molecules arrange
themselves contributes to the appearance and the properties of the materials.
Atoms can be gathered together as an aggregate through a number of different processes,
including condensation, pressurization, chemical reaction, electro-deposition, and melting.
The process usually determines, at least initially, whether the collection of atoms will take to
form of a gas, liquid or solid. The state usually changes as its temperature or pressure is
changed. Melting is the process most often used to form an aggregate of atoms. When the
temperature of a melt is lowered to a certain point, the liquid will form either a crystalline
solid or/and amorphous solid.
Amorphous Solids: A solid substance with its atoms held apart at equilibrium spacing, but
with no long-range periodicity in atom location in its structure is an amorphous solid.
Examples of amorphous solids are glass and some types of plastic. They are sometimes
described as super-cooled liquids because their molecules are arranged in a random manner
somewhat as in the liquid state. For example, glass is commonly made from silicon dioxide
or quartz sand, which has a crystalline structure. When the sand is melted and the liquid is
cooled rapidly enough to avoid crystallization, an amorphous solid called a glass is formed.
Amorphous solids do not show a sharp phase change from solid to liquid at a definite melting
point, but rather soften gradually when they are heated. The physical properties of amorphous
solids are identical in all directions along any axis so they are said to have isotropic
properties.
.
Si
O
O
O
Si
O
O Si
Si
Si
Si
O
O
O
O
O
O
O
O
SiO
O
Si
O
Si
Si
SiO
O
Si O
OO
O
O
Si
O
O
SiO
O
Si
O
Si O
Crystalline Solids: More than 90% of naturally occurring and artificially prepared solids are
crystalline. Minerals, sand, clay, limestone, metals, carbon (diamond and graphite), salts (
NaCl, KCl etc.), all have crystalline structures. A crystal is a regular, repeating arrangement
of atoms or molecules. The majority of solids, including all metals, adopt a crystalline
arrangement because the amount of stabilization achieved by anchoring interactions between
neighboring particles is at its greatest when the particles adopt regular (rather than random)
arrangements. In the crystalline arrangement, the particles pack efficiently together to
minimize the total intermolecular energy. Proper arrangement of component ions or
molecules gives rise to the well-definedVBN shapes of crystals.
Page 63
•The particles in a crystal are located in a well-defined array called a crystal lattice.
•The smallest portion of the crystal that is repeated in all three directions is the unit cell.
Several types of unit cells are illustrated on the next few slides.
Crystalline Solids: Crystalline solids often fall into one of the following packing categories:
Simple Cubic – The simple cubic unit cell consists of a cube with one atom at each corner.
There is one atom in each unit cell (1/8
th of 8 atoms). Each atom is in contact with six other
atoms (coordination number = 6), and the packing efficiency is 52%.
Body-Centered Cubic – The body-centered cubic unit cell consists of a cube with one atom
at each corner and another atom in the center of the cube. There are two atoms in each unit
cell. The coordination number is 8, and the packing efficiency is 68%.
Face-Centered Cubic – The face-centered cubic unit cell consists of a cube with one atom
at each corner and another atom in the center of each cube face. There are four atoms in each
unit cell. The coordination number is 12, and the packing efficiency is 74%.
Hexagonal Closest Packing – Hexagonal closest packing occurs when layers of atoms stack
on top of each other in such a way that the upper and lower layers (Layer A) are offset from
Layer B by half a sphere, giving a hexagonal unit cell with a coordination number of 12 and a
packing efficiency of 74%.
Cubic Closest Packing – Cubic closest packing occurs when layers of atoms stack on top of
each other in such a way that the upper and lower layers (Layer A and C) are offset from
Layer B and from each other by half a sphere, giving a hexagonal unit cell with a
coordination number of 12 and a packing efficiency of 74%.
Types of Crystalline Solids
Page 64
Type of Solid Intermolecular Forces Properties Examples
Molecular solids London forces, dipole-
dipole forces, hydrogen
bonds
Soft, low melting
points, non-
conducting
H2O, Br2, CO2,
CH4
Ionic solids Ion-ion forces Brittle, hard, high
melting points
NaCl, KBr,
MgCl2
Nonbonding atomic
solids
London forces Very low melting
points
Ar, Kr, Xe
Metallic atomic solids Metallic bonds Variable hardness
and melting point,
conducting
Na, Zn, Cu, Fe
Covalent network solids Covalent bonds Hard, high melting
points
C (diamond,
graphite), SiO2
(quartz, etc.)
All four categories involve packing discrete molecules or atoms into a lattice or repeating
array, though network solids are a special case. The categories are distinguished by the nature
of the interactions holding the discrete molecules or atoms together.
7.2 Structure and Bonding in Metallic Solids
A metallic crystal can be pictured as containing spherical atoms packed together and bonded
to each other equally in all directions. We can model such a structure by packing uniform,
hard spheres in a manner that most efficiently uses the available space. Such an arrangement
is called closest packing. The spheres are packed in layers in which each sphere is
surrounded by six others. In the second layer the spheres do not lie directly over those in the
first layer. Instead, each one occupies an indentation (or dimple) formed by three spheres in
the first layer. In the third layer the spheres can occupy the dimples of the second layer in two
possible ways: They can occupy positions so that each sphere in the third layer lies directly
over a sphere in the first layer [the abab arrangement], or they can occupy positions so that
no sphere in the third layer lies over one in the first layer [the abca arrangement]. The abab
arrangement has the hexagonal unit cell, and the resulting structure is called the hexagonal
close packed (hcp) structure.
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abab arrangement: abca arrangement:
The abca arrangement has a face-centered cubic unit cell and the resulting structure is called
the cubic close packed (ccp) structure. Note that in the hcp structure the spheres in every
other layer occupy the same vertical position (ababab . . .), whereas in the ccp structure the
spheres in every fourth layer occupy the same vertical position (abcabca . . .). A
characteristic of both structures is that each sphere has 12 equivalent nearest neighbors: 6 in
the same layer, 3 in the layer above, and 3 in the layer below (that form the dimples).
Molecular Solids
There are three basic types of crystalline solids: molecular, ionic, and atomic solids.
Molecular solids are composed of molecules held in a crystal lattice by intermolecular
forces. They are fairly soft, and have relatively low melting points. They are poor conductors
of heat and electricity. An example of molecular solid is ice (H2O). Each individual water
molecule is held together by intermolecular hydrogen bonding between oxygen atoms of one
molecule and the hydrogen atom of neighbouring molecules as shown below. The extensive
hydrogen bonding in ice also exists in liquid state and is responsible of the relatively high
boiling point of water.
H
OH
H
O
H
H
OH
H
OH
H
O
HH
OH
H
O
H
H
O
H
Atomic Solids
Atomic solids are composed of individual atoms. Nonbonding atomic solids are held
together by London forces. They have very low melting points that increase with increasing
atomic mass. These include the noble gases in their solid form (Ar, mp -189 oC; Xe, mp -112
oC).
Covalent Network Solids (Giant molecules)
This is a relatively rare structure, diamond being probably the best known example. Boron
nitride (BN)n and silicon carbide (SiC)n (carborundum) are similar types of solid. These
solids are non-conducting, indicating that the electrons are less free and more localized than
the electrons in a metal which move easily allowing an electric current to flow through the
lattice.
In network solids, conventional chemical bonds hold the chemical subunits together. The
bonding between chemical subunits, however, is identical to that within the subunits,
resulting in a continuous network of chemical bonds. Two common examples of network
solids are diamond (a form of pure carbon) and quartz (silicon dioxide). In quartz one cannot
Page 66
detect discrete SiO2 molecules. Instead the solid is an extended three-dimensional network of
...-Si-O-Si-O-... bonding.
Carbon: Carbon exists as a pure element at room temperature in three different forms:
graphite (the most stable form), diamond, and fullerene.
Diamond – The structure of diamond is shown below. The balls represent the carbon atoms
and the sticks represent a covalent bond. In addition, a single stick is drawn to represent a
covalent bond. In the diamond structure, all bonds are single covalent bonds (sigma bonds).
Here, the carbon atoms are not close-packed. Each carbon is surrounded tetrahedrally by four
other carbon atoms. Clearly, each carbon is exerting a tetrahedrally directed force on its
neighbours and such directed forces are operative throughout the whole crystal. Diamond is
found to be a refractory solid, i.e. it has an extremely high melting point, indicating that the
bonding forces are extremely strong.
Notice that diamond is a network solid. The entire solid is an "endless" repetition of carbon
atoms bonded to each other by covalent bonds. (In the display at the right, the structure is
truncated to fit in the display area.)
Graphite – The most stable form of carbon is graphite. Graphite consists of sheets of carbon
atoms covalently bonded together. These sheets are then stacked to form graphite. The
display at the right shows a ball-and-stick representation of graphite. The sheets extended
"indefinitely" in the xy plane, but the structure has been truncated for display purposed.
Graphite may also be regarded as a network solid, even though there is no bonding in the z
direction. Each layer, however, is an "endless" bonded network of carbon atoms.
Questions
1. What is the bonding geometry around each carbon?
2. What is the hybridization of carbon in graphite?
3. The layer of the graphite structure consists of a repeating series of rings. How
many carbon atoms are in a ring?
4. What force holds the carbon sheets together in graphite?
5. Graphite is very slippery and is often used in lubricants. Explain why this
property is expected on the basis of the structure of graphite.
6. What is the bonding geometry around each carbon?
Page 67
7. What is the hybridization of carbon in diamond?
8. The diamond structure consists of a repeating series of rings. How many
carbon atoms are in a ring?
9. Diamond is renowned for its hardness. Explain why this property is expected
on the basis of the structure of diamond.
10. The slipperiness of graphite is enhanced by the introduction of impurities.
Where would such impurities be located and why would they make graphite a
better lubricant?
Silicon Dioxide – Silicon dioxide (SiO2), also called silica, occurs naturally in many forms.
Quartz is essentially pure silicon dioxide. Sand is composed of small quartz fragments. Many
precious gems are quartz containing coloured impurities. Amethyst is quartz coloured red by
the presence of iron(III) ions. Agate and onyx are also quartz containing impurities. Flint is
silica coloured black by carbon.
Quartz has a very complicated crystal structure, which involves interwoven helical chains.
When heated to about 1500o C, quartz changes into the mineral cristobalite, whose structure
is shown at the right in ball-and-stick form. The brown balls represent the silicon atoms and
the red balls represent the oxygen atoms. Cristobalite is pure SiO2. Notice the similarity in
structure between cristobalite and diamond.
Ionic Solids
Ionic solids are made up of cations and anions held together in a crystal lattice by the strong
attractions between opposite charges on. The type of crystal structure formed in ionic solids
is dependent on the relative sizes of the cations and anions, the coordination number of the
ions, and the need to maintain charge neutrality. These substances are hard and brittle, with
high melting points (e.g. KBr, CsCl, NaCl, ZnS, CaF2).
7.3 Energy Effects in Ionic Compounds
Ionic solid forms because the aggregated oppositely charged ions have a lower energy than
the original elements. How strongly the ions attract each other in the solid state is a measure
of the lattice energy – defined as the change in energy that takes place when separated
gaseous ions are packed together to form an ionic solid:
Page 68
e.g.: K+
(g) + Br-(g) KBr(s)
Since lattice energy is often defined as the energy released when an ionic solid forms from its
ions, the lattice energy has a negative sign; i.e. when the ions are brought together the energy
decreases. Consider the following illustration for the formation of solid lithium fluoride from
its elements:
Li(s) + ½F2(g) LiF(s)
Breaking this reaction into individual steps that make up the sum of the overall reaction is
presented below:
1. Sublimation of solid lithium:
Li(s) Li(g) (Sublimation energy = 161 kJ/mol.)
2. Ionization of lithium atoms to form Li+ ions in the gas phase:
Li(g) Li+
(g) + e- (1
st ionization energy = 520 kJ/mol.)
3. Dissociation of fluorine molecules:
½F2(g) F(g) (Dissociation energy = 154 kJ/mol. or 77kJ for ½mol.)
4. Formation of F- ions from fluorine atoms in the gas phase:
F(g) F-(g) (Electron affinity of fluorine = -328 kJ/mol.)
5. Formation of solid lithium fluoride from the gaseous Li+ and F
- ions:
Li+
(g) + F-(g) LiF(s) (Lattice energy for LiF = -1047 kJ/mol.)
Since the sum of these five processes yields the desired overall reaction, the sum of the
individual energy changes gives the overall energy change (= -617 kJ per mole of LiF). This
process is summarized by the energy diagram above.
E
Li+(g) + ½F2(g)
Li+(g) + F(g)
Li+(g) + F-(g)
Li(g) + ½F2(g)
Li(s) + ½F2(g)
LiF(s)
(1) 161 kJ
(2) 520 kJ
(4) -328 kJ
(5) -1047 kJ-617 kJ
(3) 77 kJ
A large decrease in energy accompanies formation of LiF(s) from its constituent elements
mainly due to the very large negative lattice energy. In fact, note that the energy released
when an electron is added to a fluorine atom to form the F- ion (328 kJ/mol) is not enough to
remove an electron from lithium (520 kJ/mol).
i.e. Li+
(g) + F-(g) Li
+(g) + F
-(g) ; not favoured.
Page 69
Therefore, the driving force for the formation of an ionic solid such as LiF (unlike in covalent
compounds) results from the strong mutual attractions among the Li+ and F
- ions in the solid
(i.e. the lattice energy is an important factor).
In the structure of the LiF solid (illustrated below), there is alternating arrangement of the Li+
and F- ions. Each Li
+ is surrounded by six F
- ions, and vice versa. The arrangement
maximizes attractions among the oppositely charged ions and minimizes the repulsions
among the like charges. This sort of arrangement is found in all binary ionic solids formed by
an alkali metal (except in caesium salts) and a halogen.
7.4 Calculation Lattice Energy
In discussing the energetics of the formation of solid lithium fluoride, we emphasized the
importance of lattice energy in contributing to the stability of the ionic solid. Lattice energy
can be represented by a modified form of Coulomb‘s law:
𝐿𝑎𝑡𝑡𝑖𝑐𝑒𝑒𝑛𝑒𝑟𝑔𝑦 = 𝑘 𝑄1𝑄2𝑟
where k is a proportionality constant that depends on the structure of the solid and the
electron configurations of the ions, Q1 and Q2 are the charges on the ions, and r is the
shortest distance between the centers of the cations and anions. Note that the lattice energy
has a negative sign when Q1 and Q2 have opposite signs. This result is expected, since
bringing cations and anions together releases energy. Observe that the process will be more
exothermic the greater the charges and as the separation between the ions decrease.
The importance of the charges in ionic solids can be illustrated by comparing the energies
involved in the formation of NaF(s) and MgO(s) as shown in the figure below. These solids
contain the isoelectronic ions Na+, F
-, Mg
2+, and O
2-. Note the following important features:
a. Energy released when the gaseous Mg2+
and O2-
ions combine to form solid MgO is
more than four times greater than that released when the gaseous Na- and F
-ions
combine to form solid NaF.
b. The energy needed for 2 e ionization of Mg (2180 kJ/mol) is much greater than 1 e
ionization of sodium atom (495 kJ/mol).
c. The electron affinity for 2 e addition to gaseous oxygen atom is 737 kJ/mol. This
energy includes an endothermic component (2nd
electron addition) that must be
obtained indirectly, since the O2-
(g) ion is not stable.
Since much more energy is required for the 2nd
ionization of Mg relative to 1st ionization
energy and since addition of an electron to the gaseous O- ion requires a much more energy,
it might have been expected that magnesium oxide would be easier formed from Mg+ and O
-
ions rather than Mg2+
and O2-
ions. The reason for the formation of the ionic solid from Mg2+
and O2-
ions can be explained by looking at the lattice energy. Exothermicity of the lattice
energy for combining gaseous Mg2+
and O2-
ions ions to form MgO(s) is 3000 kJ/mol more
than that for combining gaseous Na+ and F
- into NaF(s). This is a compensation for the
energies consumed in formation of the Mg2+
and O2-
ions.
Page 70
Variety of factors operates to determine the composition and structure of ionic compounds.
The most important of these factors involve the balancing of the energies required to form
highly charged ions and the energy released when highly charged ions combine to form the
solid.
Assignment: Suggest reason(s) why the ionic solid NaF is formed from Na+ and F
- ions and
not from Na2+
and F2-
ions as for magnesium oxide.
It is convenient to classify solids according to what type of component occupies the lattice
points. This leads to the classifications:
- atomic solids (atoms at the lattice points)
- molecular solids (discrete, relatively small molecules at the lattice points)
- ionic solids (ions at the lattice points).
In addition, atomic solids are placed into the following subgroups based on the bonding that
exists among the atoms in the solid:
- metallic solids
- network solids
- Group 8A solids
In metallic solids, a special type of delocalized non-directional covalent bonding occurs. In
network solids, the atoms bond to each other with strong directional covalent bonds that lead
to giant molecules, or networks, of atoms. In the Group 8A solids, the noble gas elements are
attracted to each other with London dispersion forces. The classification of solids is
summarized in the following table.
Atomic Solids
Molecular
Solids
Ionic
Solids
Metallic Network Group 8A
Occupants of Discrete Ions Metal Non-metal Group 8A
Page 71
lattice
Points:
molecules
atoms atoms atoms
Bonding: Dipole–dipole
and/or London
dispersion forces
Ionic
Delocalized
covalent
Directional
covalent
(leading to
giant
Molecules)
London
dispersion
forces