A symmetry group of order h = 8 is known to have five (5) classes. Three of its irreducible representations have a dimensionality of 1. Based on this, what are the dimensions of its remaining irreducible representation(s)? 1, 1, 1 O 1,2 1, 1, 1, 1, 1 02, 2 1, 2, 2

Physical Chemistry
2nd Edition
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Ball, David W. (david Warren), BAER, Tomas
Chapter14: Rotational And Vibrational Spectroscopy
Section: Chapter Questions
Problem 14.76E
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A symmetry group of order h = 8 is known to have five (5) classes. Three of its irreducible representations have a dimensionality of 1.
Based on this, what are the dimensions of its remaining irreducible representation(s)?
1, 1, 1
1, 2
1, 1, 1, 1, 1
2,2
1, 2, 2
OOO
Transcribed Image Text:A symmetry group of order h = 8 is known to have five (5) classes. Three of its irreducible representations have a dimensionality of 1. Based on this, what are the dimensions of its remaining irreducible representation(s)? 1, 1, 1 1, 2 1, 1, 1, 1, 1 2,2 1, 2, 2 OOO
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ISBN:
9781133958437
Author:
Ball, David W. (david Warren), BAER, Tomas
Publisher:
Wadsworth Cengage Learning,