Using the coordinate system provided, derive the irredicuble representations (set of 4 characters) for the the following orbitals in the C2v point group. Give the Muliken symbol for each irreducible representation. a. pz b. py c. dz2 d. dxy

Introduction to General, Organic and Biochemistry
11th Edition
ISBN:9781285869759
Author:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Publisher:Frederick A. Bettelheim, William H. Brown, Mary K. Campbell, Shawn O. Farrell, Omar Torres
Chapter31: Immunochemistry
Section: Chapter Questions
Problem 31.75P
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Using the coordinate system provided, derive the irredicuble representations (set of 4 characters) for the the following orbitals in the C2v point group. Give the Muliken symbol for each irreducible representation.

a. pz

b. py

c. dz2

d. dxy

Z
хо
C2v
A₁
A2
B1
B2
E C₂ ov(xz) 0₂ (yz)
1
1
1
1
1
1
-1
1
-1
1
1 -1
-1
1
Transcribed Image Text:Z хо C2v A₁ A2 B1 B2 E C₂ ov(xz) 0₂ (yz) 1 1 1 1 1 1 -1 1 -1 1 1 -1 -1 1
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