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). Identify the number of IR and Raman active modes for A and B. c. d. State and explain whether one can distinguish between the two possible geometries using only IR spectroscopy.

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). Identify the number of IR and Raman active modes for A and B. c. 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

6. 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.
d.
Identify the number of IR and Raman active modes for A and B.
State and explain whether one can distinguish between the two possible geometries using only
IR spectroscopy.
N=3
XX
N
A
B

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