Consider the D2d point group. a. What is the order (h)? b. How many classes are there? c. How many irreducible representations are there? d. Which irreducible representation(s) that is/are antisymmetric with respect to the C2 operation? e. Which irreducible representation is based on the z-axis? f. Show that the A1 and B1 irreducible representations are orthogonal.

Consider the D2d point group. a. What is the order (h)? b. How many classes are there? c. How many irreducible representations are there? d. Which irreducible representation(s) that is/are antisymmetric with respect to the C2 operation? e. Which irreducible representation is based on the z-axis? f. Show that the A1 and B1 irreducible representations are orthogonal.

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 13.49E

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