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Bonding: General Concepts AP Chemistry Unit 8
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Page 1: Ap chem unit 8 presentation

Bonding: General ConceptsAP Chemistry Unit 8

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Types of Chemical Bonds

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Ionic Bonds

Ionic Bonds are formed when an atom that loses electrons relatively easily reacts with an atom that has a high attraction for electrons.

Ionic Compounds results when a metal bonds with a nonmetal.

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Bond EnergyBond energy is the energy required to break a bond.

The energy of interaction between a pair of ions can be calculated using Coulomb’s law

r = the distance between the ions in nm. Q1 and Q2 are the numerical ion charges.E is in joules

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Bond Energy

When the calculated energy between ions is negative, that indicates an attractive force.

A positive energy is a repulsive energy.

The distance where the energy is minimal is called the bond length.

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Covalent Bonds

Covalent bonds form between molecules in which electrons are shared by nuclei.

The bonding electrons are typically positioned between the two positively charged nuclei.

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Polar Covalent Bonds

Polar covalent bonds are an intermediate case in which the electrons are not completely transferred but form unequal sharing.

A δ- or δ+ is used to show a fractional or partial charge on a molecule with unequal sharing. This is called a dipole.

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Electronegativity

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ElectronegativityElectronegativity is the ability of an

atom in a molecule to attract shared electrons to itself. (electron love)

Relative electronegativities are determined by comparing the measured bond energy with the “expected” bond energy.

Measured in Paulings. After Linus Pauling the American scientist who won the Nobel Prizes for both chemistry and peace.

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Electronegativity

Expected H-X bond energy=

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Electronegativity

Electronegativity values generally increase going left to right across the periodic table and decrease going top to bottom.

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Electronegativity and Bond type

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Bond Polarity and Dipole

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Dipoles and Dipole Moments

A molecule that has a center of positive charge and a center of negative charge is said to be dipolar or to have a dipole moment.

An arrow is used to show this dipole moment by pointing to the negative charge and the tail at the positive charge.

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Dipoles and Dipole Moments

Electrostatic potential diagram shows variation in charge. Red is the most electron rich region and blue is the most electron poor region.

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Dipoles and Dipole Moments

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Dipoles and Dipole Moments

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Dipoles and Dipole Moments

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Dipoles and Dipole MomentsDipole moments are when opposing bond polarities don’t cancel out.

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Dipoles and Dipole Moments

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Example Problems

For each of the following molecules, show the direction of the bond polarities and indicate which ones have a dipole moment: HCl, Cl2, SO3, CH4, H2S

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HCl

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Cl2

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SO3

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CH4

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H2S

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Ions: Electron Configurations

and Sizes

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Electron Configurations of

CompoundsWhen two nonmetals react to form a covalent bond, they share electrons in a way that completes the valence electron configurations of both atoms. That is, both nonmetals attain noble gas electron configurations.

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Electron Configurations of

CompoundsWhen a nonmetal and a representative-group metal react to form a binary ionic compounds, the ions form so that the valence electron configuration of the nonmetal achieves the electron configuration of the next noble gas atom and the valence orbitals of the metal are emptied. In this way both ions achieve noble gas electron configurations.

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Predicting Ionic Formulas

To predict the formula of the ionic compound, we simply recognize that the chemical compounds are always electrically neutral. They have the same quantities of positive and negative charges.

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Sizes of Ions

Size of an ion generally follows the same trend as atomic radius. The big exception to this trend is where the metals become nonmetals and the ions switch charge.

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Sizes of Ions

A positive ion is formed by removing one or more electrons from a neutral atom, the resulting cation is smaller than the neutral atom.

Less electrons allow for less repulsions and the ion gets smaller.

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Sizes of Ions

An addition of electrons to a neutral atom produces an anion that is significantly larger than the neutral atom.

An addition of an electron causes additional repulsions around the atom and therefore its size increases.

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Energy Effects in Binary Ionic Compounds

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Lattice Energy

Lattice energy is the change in energy that takes place when separated gaseous ions are packed together to form an ionic solid.

The lattice energy is often defined as the energy released when an ionic solid forms from its ions.

Lattice energy has a negative sign to show that the energy is released.

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Lattice Energy Example

Estimate the enthalpy of lithium fluoride and the changes of energy and lattice energy during formation:

1.Break down LiF into its standard state elements (use formation reaction):

Li(s) + ½F2(g) LiF(s)

Li+(g) + F-(g) LiF(s)

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Lattice Energy Example

Li(s) + ½F2(g) LiF(s) Li+(g) + F-

(g)

LiF(s)

2. Use sublimation and evaporation reactions to get reactants into gas form (since lattice energy depends on gaseous state). Find the enthalpies to these reactions:

Li(s) Li(g) 161 kJ/mol

Li(g) + ½F2(g) LiF(s)

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Lattice Energy Example

Li(g) + ½F2(g) LiF(s) Li+(g) + F-

(g)

LiF(s)

3. Ionize cation to form ions for bonding. Use Ionization energy for the enthalpy of the reaction.

Li(g) Li+(g) + e- Ionization energy:

520 kJ/mol

Li+(g) + ½F2(g) LiF(s)

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Lattice Energy Example

Li+(g) + ½F2(g) LiF(s) Li+

(g) + F-(g)

LiF(s)

4. Dissociate diatomic gas to individual atoms:

½F2(g) F(g) ½ Bond dissociation energy of F-F

= 154 kJ/ 2 = 77 kJ/mol

Li+(g) + F(g) LiF(s)

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Lattice Energy Example

Li+(g) + F(g) LiF(s) Li+

(g) + F-(g)

LiF(s)

5. Electron addition to fluorine is the electron affinity of fluorine:

F(g) + e- F-(g) -328 kJ/mol

Li+(g) + F-

(g) LiF(s)

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Lattice Energy Example

Li+(g) + F-

(g) LiF(s) Li+(g) + F-

(g) LiF(s)

6. Formation of solid lithium fluoride from the gaseous ions corresponds to its lattice energy:

Li+(g) + F-

(g) LiF(s) -1047 kJ/mol

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Lattice Energy ExampleThe sum of these five processes yields the

overall reaction and the sum of the individual energy changes gives the overall energy change and the enthalpy of formation:

Li(s) Li(g)

Li(g) Li+(g) + e-

½F2(g) F(g)

F(g) + e- F-(g)

Li+(g) + F-

(g) LiF(s)

161 kJ

520 kJ

77 kJ

-328 kJ

-1047 kJ

Total = -617 kJ/mol

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Lattice Energy

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Lattice EnergyLattice energy can be calculated

with at form of Coulomb’s law:

Q is the charges on the ions and r is the shortest distance between the centers of the cations and anions. k is a constant that depends on the structure of the solid and the electron configurations of the ions.

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Partial Ionic Character of

Covalent Bonds

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Bond CharacterCalculations of ionic character:

Even compounds with the maximum possible electronegativity differences are not 100% ionic in the gas phase. Therefore the operational definition of ionic is any compound that conducts an electric current when melted will be classified as ionic.

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Bond Character

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The Covalent Chemical Bond

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Chemical Bond Model

A chemical bond can be viewed as forces that cause a group of atoms to behave as a unit.

Bonds result from the tendency of a system to seek its lowest possible energy.

Individual bonds act relatively independent.

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ExampleIt takes 1652 kJ of energy required to break the bonds in 1 mole of methane. 1652 kJ of energy is released when 1 mole of methane is formed from gaseous atoms.Therefore, 1 mole of methane in gas phase has 1652 kJ lower energy than the total of the individual atoms.One mole of methane is held together with 1652 kJ of energy.Each of the four C-H bonds contains 413 kJ of energy.

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ExampleEach of the four C-H bonds contains 413 kJ of energy.CH3Cl contains 1578 kJ of energy:

1 mol of C-Cl bonds + 3 mol (C-H bonds)=1578 kJC-Cl bond energy + 3 (413 kJ/mol) = 1578 kJC-Cl bond energy = 339 kJ/mol

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Properties of Models

A model doesn’t equal reality; they are used to explain incomplete understanding of how nature works.

Models are often oversimplified and are sometimes wrong.

Models over time tend to get over complicated due to “repairs”.

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Properties of Models

Remember that simple models often require restrictive assumptions. Best way to use models is to understand their strengths and weaknesses.

We often learn more when models are incorrect than when they are right.

Cu and Cr.

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Covalent Bond Energies and

Chemical Reactions

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Bond Energies

Bond energy averages are used for individual bond dissociation energies to give approximate energies in a particular bond.

Bond energies vary due to several reasons:

multiple bonds, 4 C-H bonds in methane different elements in the molecule, C-H bond in C2H6 or C-H bond in HCCl3

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Bond Energy Example

CH4(g)CH3(g) + H(g)

CH3(g)CH2(g) + H(g)

CH2(g)CH(g) + H(g)

CH(g)C(g) + H(g)

435 kJ

453 kJ

425 kJ

339 kJ

Total 1652 kJ

Average 413 kJ

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Bond Energy Example

HCBr3

HCCl3

HCF3

C2H6

380 kJ

380 kJ

430 kJ

410 kJ

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Average Bond Energies

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Bond Energy

A relationship also exists between the number of shared electron pairs.

single bond – 2 electronsdouble bond – 4 electronstriple bond – 6 electrons

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Bond EnergyBond energy values can be used to

calculate approximate energies for reactions.

Energy associated with bond breaking have positive signs

Endothermic process

Energy associated with forming bonds releases energy and is negative.

Exothermic process

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Bond Energy

A relationship exists between the number of shared electron pairs and the bond length.

• As the number of electrons shared goes up the bond length shortens.

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Bond Energy

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Bond EnergyΔH = sum of the energies required to

break old bonds (positive signs) plus the sum of the energies released in the formation of new bonds (negative signs).

• D represents bond energies per mole and always has positive sign

• n is number of moles

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Bond Energy Example

H2(g) + F2(g) 2HF(g)

1 H-H bond, F-F bond and 2 H-F bonds

ΔH = DH-H + DF-F – 2DH-F

ΔH= (1mol x 432 kJ/mol) + (1mol x 154 kJ/mol) – (2mol x 565 kJ/mol)

ΔH = -544 kJ

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The Localized Electron Bonding

Model

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Localized Electron Model

The localized electron model assumes that a molecule is composed of atoms that are bound together by sharing pairs of electrons using the atomic orbitals of the bound atoms.

Electrons are assumed to be localized on a particular atom individually or in the space between atoms.

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Localized Electron Model

Pairs of electrons that are localized on an atom are called lone pairs.

Pairs of electrons that are found in the space between the atoms are called bonding pairs

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Localized Electron Model

Three parts of the LE Model:

1.Description of the valence electron arrangement in the molecule using Lewis structures.

2.Prediction of the geometry of the molecule using VSEPR model

3.Description of the type of atomic orbitals used by the atoms to share electrons or hold lone pairs.

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Lewis Structures

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Lewis StructuresThe Lewis structure of a molecule show

how the valence electrons are arranged among the atoms in the molecule.

Named after G. N. Lewis

Rules are based on observations of thousands of molecules.

Most important requirement for the formation of a stable compound is that the atoms achieve noble gas electron configurations.

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Lewis Structures

Only the valence electrons are included.

The duet rule: diatomic molecules can find stability in the sharing of two electrons.

The octet rule: since eight electrons are required to fill these orbitals, these elements typically are surrounded by eight electrons.

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Lewis Structure Steps

1. Sum the valence electrons from all the atoms. Total valence electrons.

2. Use a pair of electrons to form a bond between each pair of bound atoms.

3. Arrange the remaining electrons to satisfy the duet rule for hydrogen and the octet rule for the others.a) Terminal atoms first. b) Check for happiness

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Examples HF

N2

NH3

CH4

CF4

NO+

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Exceptions to the Octet Rule

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Exceptions to the Octet Rule

Incomplete: An odd number of electrons are available for bonding. One lone electron is left unpaired.

Suboctet: Less than 4 pairs of electrons are assigned to the central atom

Suboctets tend to form coordinate covalentbondsBH3 + NH3

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Exceptions to the Octet Rule

Extended: The central atom has more than 4 pairs of electrons.

At the third energy level and higher, atoms may have empty d orbitals that can be used for bonding.

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General Rules

The second row elements C, N, O, and F always obey the octet rule

The second row elements B and Be often have fewer than eight electrons around them in their compounds. They are electron deficient and very reactive.

The second row elements never exceed the octet rule, since their valence orbitals can only hold 8.

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General Rules

Third-row and heavier elements often satisfy the octet rule but can exceed the octet rule by using their empty valence d orbitals.

When writing the Lewis structure for a molecule, satisfy the octet rule for the atoms first. If electrons remain after the octet rule has been satisfied, then place them on the elements having available d orbitals

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Resonance

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Resonance

Resonance is when more than on valid Lewis structure can be written for a particular molecule. The resulting electron structure of the molecule is given by the average of these resonance structures.

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Resonance

The concept of resonance is necessary because the localized electron model postulates that electrons are localized between a given pair of atoms. However, nature does not really operate this way. Electrons are really delocalized- they move around the entire molecule. The valence electrons in a resonance structure distribute themselves equally and produce equal bonds.

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Formal Charge

Some molecules or polyatomic ions can have several non-equivalent Lewis structures.

• Example: SO42-

Because of this we assign atomic charges to the molecules in order to find the right structure.

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Formal Charge

The formal charge of an atom in a molecule is the difference between the number of valence electrons on the free atom and the number of valence electrons assigned to the atom in the molecule

Formal charge = (# of valence electrons on neutral ‘free atom’) – (# of valence electrons assigned to the atom in the molecule)

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Formal Charge

Assumptions on electron assignment:

Lone pair electrons belong entirely to the atom in question.

Shared electrons are divided equally between the two sharing atoms.

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Formal Charge Example

SO42-: All single bonds

Formal charge on each O is -1

Formal charge on S is 2

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Formal Charge Example

SO42-: two double bonds, two single

Formal charge on single bonded O is -1

Formal charge on double bonded O is 0

Formal charge on S is 0

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Formal Charges1. Atoms in molecules try to achieve

formal charges as close to zero as possible.

2. Any negative formal charges are expected to reside on the most electronegative atoms.

If nonequivalent Lewis structures exist for a species, those with formal charges closest to zero and with any negative formal charges on the most electronegative atoms are considered to best describe the bonding in the molecule or ion.

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Molecular Structure: The VSEPR Model

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VSEPR

Valence shell electron repulsion model is useful in predicting the geometries of molecules formed from nonmetals.

The structure around a given atom is determined principally by minimizing electron – pair repulsion.

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VSEPRFrom the Lewis structure, count the electron pairs around the central atom.

Lone pairs require more room than bonding pairs and tend to compress the angles between the bonding pairs.

Multiple bonds should be counted as one effective pair.

With a molecule with resonance, all structures should yield the same shape.

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Tetrahedral109.5°

3-D tetrahedral

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Trigonal Pyramidal

107°

3-D tetrahedral 1 lone pair / trigonal pyramidal

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Bent/V

104.5°

3-D tetrahedral 2 lone pair / bent

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Tetrahedral Arrangements

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Bipyramidal

Arrangements

trigonal bipyramidal

bipyramidal 1 lone pair / see saw

bipyramidal 2 lone pair / T shape

bipyramidal 3 lone pair / linear

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Octahedral Arrangements

octahedral

octahedral 1 lone pair / square pyramidal

octahedral 2 lone pair / square planar

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Molecules without a central atom

The molecular structure of more complicated atoms can be predicted from the arrangement of pairs around the center atoms. A combination of shapes will result that allows for minimum repulsion throughout.

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Molecules without a central atom

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The End