Benzene, C 6 H 6 , belongs to the D 6h group. The reducible representation for the

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Benzene, C6H6, belongs to the D6hgroup. The reducible representation for the vibrational modes is

reducible = 2.4g + 42g + Au + 2B, + 2B, + 2B, + E, + 3E, + 4E25 + 2E2u

a. How many vibrational modes does benzene have?

b. How many of these modes are infrared active and to which representation do they belong?

c. Which of the infrared active modes are degenerate in energy and what is the degeneracy for each?

d. How many of these modes are Raman active and to which representation do they belong?

e. Which of the Raman active modes are degenerate in energy and what is the degeneracy for each?

f. Which of the infrared modes are also Raman active?

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Physical Chemistry

ISBN: 978-0321812001

3rd edition

Authors: Thomas Engel, Philip Reid

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