Quantum Chemistry, BSc Course

Course prerequisites: Fundamental Physics 2, Differential Equations (students can have these two courses in the same semester)
This course is an introduction to the fundamentals of quantum chemistry. This course aims to give a better understanding of atomic and molecular properties that cannot be interpreted by classical physics. There are also too many quantum mechanical aspects, such as the electronic structure of atoms and vibrational spectra of molecules, that students are familiar with, but they have accepted them without any justification. In this course, we try to justify such subjects and problems from the quantum mechanical point of view.

Part 1: Introduction to Quantum Chemistry

Historical Background of Quantum Mechanics – The Uncertainty Principle – The Time-Dependent Schrodinger Equation – The Time-Independent Schrodinger Equation,

Part 2: The Particle in a box

Particle in a One-Dimensional Box – The Free Particle in One Dimension – The Particle in a Three-Dimensional Box

Part 3: The Harmonic Oscillator

The One-Dimensional Harmonic Oscillator – Vibration of Molecules

Part 4: The Hydrogen Atom

The One-Particle Central-Force Problem – Non-interacting Particles and Separation of Variables – Reduction of the Two-Particle Problem to Two One-Particle Problems – The Bound-State Hydrogen-Atom Wave Functions –  Hydrogen-like Orbitals – The Zeeman Effect

Course Material:

 Levine, Quantum Chemistry, 6th Edition, Prentice Hall, 2009

Shared box link: https://drive.google.com/drive/folders/19tlkAEQw49ftU_VYJITq0Ndhaz5JkMYD?usp=sharing

 

 

 

 

 

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Department of Chemistry, Faculty of Science, University of Kurdistan

Session number*

 Subject

1

 A short survey of Quantum Mechanics

2

1.2 Historical Background of Quantum Mechanics

3

1.4 The Time-Dependent Schrodinger Equation

1.5 The Time-Independent Schrodinger Equation

4

1.6 Probability

1.7 Complex Numbers

1.8 Units

5

Solving selected problems of Chapter 1

6

2.1 Differential Equations

2.2 Particle in a One-Dimensional Box

7

2.3 The Free Particle in One Dimension

2.4 A particle in a rectangular box

8

Solving selected problems of Chapter 2

9

3.1 Operators

3.2 Eigen functions and Eigenvalues

10

3.3 Operators and Quantum Mechanics

3.4 The Three-Dimensional Many-Particle Schrodinger Equation

11

3.5 The Particle in a Three-Dimensional Box

3.6 Degeneracy

12

3.7 Average Values

13

3.8 Requirements for an Acceptable Wave Function

14

Solving several problems from chapter 3

15

First Midterm examination

16

4.1 Power-Series Solution of Differential Equations

17

4.2 The One-Dimensional Harmonic Oscillator

18

4.3 Vibration of Molecules

19

Solving several problems from chapter 4

20

Second Midterm examination

21

5.1 Simultaneous Specification of Several Properties

5.2 Vectors

22

5.3 Angular Momentum of a One-Particle System,

23

5.4 The Ladder-Operator Method for Angular Momentum,

24

Solving selected problems of chapter 5

25

6.1 The One-Particle Central-Force Problem

6.2 Non-interacting Particles and Separation of Variables

26

6.3 Reduction of the Two-Particle Problem to Two One-Particle Problems

6.4 The Two-Particle Rigid Rotor

27

6.5 The Hydrogen Atom

28

6.6 The Bound-State Hydrogen-Atom Wave Functions

29

6.7 Hydrogenlike Orbitals

30

Solving several problem from chapter 6