Group Theory and Chemistry2 Group Postulates Order Classes

Multiplication of Operations,Construction of C2v,C3v Group Multiplication Tables , Similarity Transformations,Exercises.

Created byChitra Thomas

Last updated 11/2020

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What you'll learn

Group Theory and Chemistry 2
Postulates, Abelian Groups, Group Multiplication Tables, Order and Classes of a Group and Similarity Transformations

Course content

1 section • 11 lectures • 1h 32m total length

Introduction1:23
It describes the contents of all 11 videos in the course
Multiplication of Operations and Commuting Operators14:31
The students will be able carry out multiplication of symmetry operations and identify commuting operators
Exercises Based on Multiplication of Operations and Commuting Operators1:37
The students practice Multiplication of Operations and get familiar with the concept
Group Postulates -(i) Closure Property10:48
The students will apply the concepts they have learned from the second lecture to understand the first group postulate-closure property
Abelian Groups3:56
The students will be able verify whether a group is Abelian or not.
Construction of Multiplication Table for C2v Group5:44
The students will know what are group multiplication tables and will be able to construct the group multiplication table for the C2v group
Group Postulates- Identity Property, Associativity Property & Inverse Property8:52
The students will know the conditions for a set of elements to form a group.
Order of a Group, Similarity Transformations and Classes of a Group13:20
The students will know what are order and classes of a group. They will be able to carry ouut similarity transformations
Determination of Classes within the C2v Group9:40
The students will be able to separate the the elements of the C2v group into various classes
Construction of Multiplication Table for the C3v Group11:19
The students will learn about the principles behind construction of multiplication tables and apply these principles to construct the multiplication table for C3v group
Determination of Classes within the C3v Group11:19
The students will be able to separate the 6 elements of the C3v group into 3 classes

Requirements

Basic knowledge of Structures and Shapes of Molecules

Description

This is the 2nd of the 8 Courses I intend to offer in Group Theory and Chemistry and this is the continuation of the course Group Theory and Chemistry 1.

The concepts like Multiplication of operations and Commuting operators which are needed to understand and appreciate the Group Postulates is discussed in detail with lots of illustrations and practice exercises. The effects of the various symmetry operations on a point in space whose coordinates are (x,y,z) is used for this purpose.

The group postulates, Closure property, Existence of Identity, Associativity property and Inverse property are discussed in detail using illustrations.

One video deals exclusively with Abelian groups.

The principles behind the construction of the multiplication tables for C2v and C3v groups are explained in detail.

The concepts like Order of a group, and Classes of a group are discussed in detail.

There is a detailed discussion of the operation called the Similarity transformation which is needed to separate the elements of a group into classes.

The separation of the elements of the C2v and C3v groups into various classes is also presented in this course.

After completing this course, a student will be equipped with the knowledge to learn the important concept of Point Groups with a clarity of thought.

Who this course is for:

All the Students whose Curriculum includes Group Theory and Chemistry and all Teachers who want to know about the application of Group Theory to problems in Chemistry