Docsity
Docsity

Prepare for your exams
Prepare for your exams

Study with the several resources on Docsity


Earn points to download
Earn points to download

Earn points by helping other students or get them with a premium plan


Guidelines and tips
Guidelines and tips

Understanding Orbital Symmetry in Molecular Chemistry: A Study of C2v Point Group, Exams of Inorganic Chemistry

An in-depth exploration of orbital symmetry in molecular chemistry through the C2v point group. It covers the transformation properties of px, py, and pz orbitals, the concept of irreducible representations, and symmetry restrictions on molecular orbitals. The document also includes examples of water molecular orbitals and their symmetry.

What you will learn

  • What is the significance of symmetry in molecular orbitals?
  • How can you determine the symmetry of a molecular orbital?
  • What is an irreducible representation in molecular chemistry?
  • Which orbitals may mix in the formation of molecular orbitals for the C2v water molecule?
  • What are the transformation properties of px, py, and pz orbitals in the C2v point group?

Typology: Exams

2021/2022

Uploaded on 09/12/2022

mjforever
mjforever 🇺🇸

4.8

(25)

258 documents

1 / 117

Toggle sidebar

This page cannot be seen from the preview

Don't miss anything!

bg1
Introduction to Character Tables
The Character Table for C2v
The Character Table for C3v
Outline
1Introduction to Character Tables
2The Character Table for C2v
3The Character Table for C3v
5.03 Inorganic Chemistry
pf3
pf4
pf5
pf8
pf9
pfa
pfd
pfe
pff
pf12
pf13
pf14
pf15
pf16
pf17
pf18
pf19
pf1a
pf1b
pf1c
pf1d
pf1e
pf1f
pf20
pf21
pf22
pf23
pf24
pf25
pf26
pf27
pf28
pf29
pf2a
pf2b
pf2c
pf2d
pf2e
pf2f
pf30
pf31
pf32
pf33
pf34
pf35
pf36
pf37
pf38
pf39
pf3a
pf3b
pf3c
pf3d
pf3e
pf3f
pf40
pf41
pf42
pf43
pf44
pf45
pf46
pf47
pf48
pf49
pf4a
pf4b
pf4c
pf4d
pf4e
pf4f
pf50
pf51
pf52
pf53
pf54
pf55
pf56
pf57
pf58
pf59
pf5a
pf5b
pf5c
pf5d
pf5e
pf5f
pf60
pf61
pf62
pf63
pf64

Partial preview of the text

Download Understanding Orbital Symmetry in Molecular Chemistry: A Study of C2v Point Group and more Exams Inorganic Chemistry in PDF only on Docsity!

The Character Table for C 2 v The Character Table for C 3 v

Outline

1 Introduction to Character Tables

2 The Character Table for C 2 v

3 The Character Table for C 3 v

The Character Table for C 2 v The Character Table for C 3 v

Quote from Eugene Paul Wigner

See also: Current Science, vol. 69, no. 4, 25 August 1995, p. 375

From the preface to his book on group theory:

Wigner relates a conversation with von Laue on the use of group

theory as the natural tool with which to tackle problems in

quantum mechanics. “I like to recall his question as to which

results... I considered most important. My answer was that the

explanation of Laporte’s rule (the concept of parity) and the

quantum theory of the vector addition model appeared to me most

significant. Since that time, I have come to agree with his answer

that the recognition that almost all rules of spectroscopy follow

from the symmetry of the problem is the most remarkable result.”

The Character Table for C 2 v The Character Table for C 3 v

What Makes Up a Character Table

Character tables contain information about how functions transform in response to the

operations of the group

Five parts of a character table

1 At the upper left is the symbol for the point group

2 The top row shows the operations of the point group,

organized into classes

3 The left column gives the Mulliken symbols for each of the

irreducible representations

4 The rows at the center of the table give the characters of the

irreducible representations

5 Listed at right are certain functions, showing the irreducible

representation for which the function can serve as a basis

The Character Table for C 2 v The Character Table for C 3 v

What Makes Up a Character Table

Character tables contain information about how functions transform in response to the

operations of the group

Five parts of a character table

1 At the upper left is the symbol for the point group

2 The top row shows the operations of the point group,

organized into classes

3 The left column gives the Mulliken symbols for each of the

irreducible representations

4 The rows at the center of the table give the characters of the

irreducible representations

5 Listed at right are certain functions, showing the irreducible

representation for which the function can serve as a basis

The Character Table for C 2 v The Character Table for C 3 v

What Makes Up a Character Table

Character tables contain information about how functions transform in response to the

operations of the group

Five parts of a character table

1 At the upper left is the symbol for the point group

2 The top row shows the operations of the point group,

organized into classes

3 The left column gives the Mulliken symbols for each of the

irreducible representations

4 The rows at the center of the table give the characters of the

irreducible representations

5 Listed at right are certain functions, showing the irreducible

representation for which the function can serve as a basis

The Character Table for C 2 v The Character Table for C 3 v

The C 2 v Character Table

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

What happens when the E operation is applied?

The E operation is a rotation by 360

about an arbitrary axis

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

The E operation returns the original configuration of the s orbital

The result of this corresponds to a character of 1

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

What happens when the C 2 operation is applied?

The C 2 operation is a rotation by 180

about the z axis

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

What happens when the C 2 operation is applied?

The C 2 operation is a rotation by 180

about the z axis

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

The C 2 operation returns the original configuration of the s orbital

The result of this corresponds to a character of 1

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

What happens when the σv (xz) operation is applied?

The σv (xz) operation is a reflection through the xz plane

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

The σv (xz) operation returns the original configuration of the s orbital

The result of this corresponds to a character of 1

The Character Table for C 2 v The Character Table for C 3 v

Transformation Properties of an s Orbital in C 2 v

The σv (xz) operation returns the original configuration of the s orbital

The result of this corresponds to a character of 1