Neopentane, C(CH3)4, has Td symmetry, with character table provided below. Suppose the characters of a reducible representation of this point group are x(E)= 17, x(C3) = 2, x(C₂) = 5, X(S4) = -3, and x(od) = -5 (this is shown explicitly in the last row of the character table). (a) Use the T₁ irreducible representation to determine the order of the point group using the Little Orthogonality Theorem (Vallance Eq. 1.15.13, see Problem 3). (b) Determine how many times each irreducible representation in Ta is contained in this reducible representation. Td A₁ A₂ " Τ1 E T₂ r E 1 1 2 3 3 17 8C3 1 1 -1 ㅇㅇ 2 3C₂ 1 2 -1 -1 5 6S4 1 -1 0 1 -1 ران -3 60d 1 -1 0 -1 1 -5

Neopentane, C(CH3)4, has Td symmetry, with character table provided below. Suppose the characters of a reducible representation of this point group are x(E)= 17, x(C3) = 2, x(C₂) = 5, X(S4) = -3, and x(od) = -5 (this is shown explicitly in the last row of the character table). (a) Use the T₁ irreducible representation to determine the order of the point group using the Little Orthogonality Theorem (Vallance Eq. 1.15.13, see Problem 3). (b) Determine how many times each irreducible representation in Ta is contained in this reducible representation. Td A₁ A₂ " Τ1 E T₂ r E 1 1 2 3 3 17 8C3 1 1 -1 ㅇㅇ 2 3C₂ 1 2 -1 -1 5 6S4 1 -1 0 1 -1 ران -3 60d 1 -1 0 -1 1 -5

Physical Chemistry

2nd Edition

ISBN:9781133958437

Author:Ball, David W. (david Warren), BAER, Tomas

Publisher:Ball, David W. (david Warren), BAER, Tomas

Chapter13: Introduction To Symmetry In Quantum Mechanics

Section: Chapter Questions

Problem 13.3E: Identify the symmetry elements present in the following objects. a The Eiffel Tower. You may have to...

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