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The Quantum Mechanical Model The nucleus is found inside a blurry “electron cloud” A area where there is a high probability of finding an electron.
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The Quantum Mechanical Model

Dec 31, 2015

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Arthur Casey

The Quantum Mechanical Model. The nucleus is found inside a blurry “electron cloud” A area where there is a high probability of finding an electron. Electron Configuration. Principal Quantum Number (n) = the energy level of the electron. (max # e- = 2n 2 ) - PowerPoint PPT Presentation
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Page 1: The Quantum Mechanical Model

The Quantum Mechanical ModelThe nucleus is

found inside a blurry “electron cloud”

A area where there is a high probability of finding an electron.

Page 2: The Quantum Mechanical Model

Principal Quantum Number (n) = the energy level of the electron. (max # e- = 2n2 )

Sublevels- like theater seats arranged in sections (s,p,d,f) (# of sublevels = n )

Within each energy level, the complex math of Schrodinger’s equation describes several shapes.

These are called atomic orbitals - regions where there is a high probability of finding an electron

*No more than 2 electrons in each orbital*

Electron Configuration

Page 3: The Quantum Mechanical Model

Summary

s

p

d

f

# of orbitals

Max electrons

Starts at energy level

1 2 1

3 6 2

5 10 3

7 14 4

sublevel

Page 4: The Quantum Mechanical Model
Page 5: The Quantum Mechanical Model
Page 6: The Quantum Mechanical Model
Page 7: The Quantum Mechanical Model

Electron Configurations

Three main “guiding” principles:

The way electrons are arranged in atoms.

Aufbau principle- electrons enter the lowest energy first.

Page 8: The Quantum Mechanical Model

Electron ConfigurationsPauli Exclusion Principle- at most 2 electrons per orbital

Why only 2 electrons per orbital?like charges repel each other, but…

electrons spin on axis,

clockwise or counterclockwise,

creating magnetic polarization ( ↑↓ )

Page 9: The Quantum Mechanical Model

Hund’s Rule- When electrons occupy orbitals of equal energy (same sublevel ) they don’t pair up until they have to.

- one electron enters each orbital until all orbitals contain one electron with spins parallel.

Page 10: The Quantum Mechanical Model

Writing Electron Configurations(Letter - number designation)

H 1s1

Principle Energy Level

Sublevel

# of e-

Page 11: The Quantum Mechanical Model

Orbital Diagrams

Show each orbital as a circle, box, or line.

Show each electron as an arrow, ↑ or ↓ spin.

Label electron configuration (letter –number).

N 1s 2s 2p

7↑↑ ↑↑ ↑↓ ↓

2 2 3

Page 12: The Quantum Mechanical Model

Incr

easi

ng e

nerg

y

1s

2s

3s

4s

5s6s

7s

2p

3p

4p

5p

6p

3d

4d

5d

7p 6d

4f

5f

Orbital (Aufbau) diagram

Page 13: The Quantum Mechanical Model

ExampleLet’s determine the electron configuration & orbital diagram for Phosphorus

Need to account for 15 electrons

Page 14: The Quantum Mechanical Model

Incr

easi

ng e

nerg

y

1s

2s

3s

4s

5s6s

7s

2p

3p

4p

5p

6p

3d

4d

5d

7p 6d

4f

5f

1s22s22p6 3s23p3

Page 15: The Quantum Mechanical Model
Page 16: The Quantum Mechanical Model

Remember…When we write electron

configurations, we are writing the lowest energy (ground state) configuration.

Do Problems 21-24 pg 160

*** # 21 draw orbital diagrams,

not just e- configurations