a. Assign the point groups for A and B assuming the M-C bond distances are the same and that the C-N bond distances are the same. Also, all C-M-C bond angles for nearest neighbor cyanide ligands are 90°. b. Determine the irreducible representations for the C-N stretching vibrations in A and B (you will first need to find the reducible for these modes and then reduce that representation). c. Identify the number of IR and Raman active modes for A and B. d. State and explain whether one can distinguish between the two possible geometries using only IR spectroscopy.

a. Assign the point groups for A and B assuming the M-C bond distances are the same and that the C-N bond distances are the same. Also, all C-M-C bond angles for nearest neighbor cyanide ligands are 90°. b. Determine the irreducible representations for the C-N stretching vibrations in A and B (you will first need to find the reducible for these modes and then reduce that representation). c. Identify the number of IR and Raman active modes for A and B. d. State and explain whether one can distinguish between the two possible geometries using only IR spectroscopy.

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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Question

Below (top of next page) are shown two possible configurations for a metal center with six cyanide
(CN): a trigonal prism (A) and the trigonal anti-prism (B).
a. Assign the point groups for A and B assuming the M-C bond distances are the same and that the
C-N bond distances are the same. Also, all C-M-C bond angles for nearest neighbor cyanide
ligands are 90°.
b.
Determine the irreducible representations for the C-N stretching vibrations in A and B (you will
first need to find the reducible for these modes and then reduce that representation).
c. Identify the number of IR and Raman active modes for A and B.
d. State and explain whether one can distinguish between the two possible geometries using only
IR spectroscopy.
A
N
N
N
N.
B
12

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