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2C4 (z) C2 20, 20d 18 -2 4 C4y Point Group not Abelian, 5(6) irreducible representations Subgroups of C4y point group: Cs, C2, C4, C2v Character table for C4y point group E 2C4 (z) C2 20y 20d linear, rotations quadratic A1 1 1 х2ну?, 2? A2 1 B1 1 -1| -1 R, -1 | 1 -1 x²-y? B2 1 -1 1| -1 ху E 2 -2 |0 0 (x, y) (Rx, Ry)| (xz, yz) Product table for C4y point group A1 A2 B1 B2 A1 A1 A2 B1 B2 A2 A2 A1 B2 B1 B1 B1 B2 A1 A2 B2 B2 B1 A2 A1 E EEE E A¡+A2+B1+B2 E

2C4 (z) C2 20, 20d 18 -2 4 C4y Point Group not Abelian, 5(6) irreducible representations Subgroups of C4y point group: Cs, C2, C4, C2v Character table for C4y point group E 2C4 (z) C2 20y 20d linear, rotations quadratic A1 1 1 х2ну?, 2? A2 1 B1 1 -1| -1 R, -1 | 1 -1 x²-y? B2 1 -1 1| -1 ху E 2 -2 |0 0 (x, y) (Rx, Ry)| (xz, yz) Product table for C4y point group A1 A2 B1 B2 A1 A1 A2 B1 B2 A2 A2 A1 B2 B1 B1 B1 B2 A1 A2 B2 B2 B1 A2 A1 E EEE E A¡+A2+B1+B2 E

Chemistry
Chemistry
10th Edition
ISBN:9781305957404
Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste
Chapter1: Chemical Foundations
Section: Chapter Questions
Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...
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A reducible representation in the C4v point group is given :

Use the C4v character table given here to determine how many of each irreducible representation is present in this reducible representation.

2C4 (z) C2 20, 20d 18 -2 4
Transcribed Image Text:2C4 (z) C2 20, 20d 18 -2 4
C4y Point Group not Abelian, 5(6) irreducible representations Subgroups of C4y point group: Cs, C2, C4, C2v Character table for C4y point group E 2C4 (z) C2 20y 20d linear, rotations quadratic A1 1 1 х2ну?, 2? A2 1 B1 1 -1| -1 R, -1 | 1 -1 x²-y? B2 1 -1 1| -1 ху E 2 -2 |0 0 (x, y) (Rx, Ry)| (xz, yz) Product table for C4y point group A1 A2 B1 B2 A1 A1 A2 B1 B2 A2 A2 A1 B2 B1 B1 B1 B2 A1 A2 B2 B2 B1 A2 A1 E EEE E A¡+A2+B1+B2 E
Transcribed Image Text:C4y Point Group not Abelian, 5(6) irreducible representations Subgroups of C4y point group: Cs, C2, C4, C2v Character table for C4y point group E 2C4 (z) C2 20y 20d linear, rotations quadratic A1 1 1 х2ну?, 2? A2 1 B1 1 -1| -1 R, -1 | 1 -1 x²-y? B2 1 -1 1| -1 ху E 2 -2 |0 0 (x, y) (Rx, Ry)| (xz, yz) Product table for C4y point group A1 A2 B1 B2 A1 A1 A2 B1 B2 A2 A2 A1 B2 B1 B1 B1 B2 A1 A2 B2 B2 B1 A2 A1 E EEE E A¡+A2+B1+B2 E
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