Problem 26 Mechane, CH 4, belongs to the Td point group. The reducible representation for the vibrational modes is Treducible = A1 + E + 2T2 a. How many vibrational modes does methane 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? 27 27

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Problem 26
Mechane, CH 4, belongs to the Td point group. The reducible
representation for the vibrational modes is
Treducible = A1 + E + 2T2
a. How many vibrational modes does methane 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?
27
27
Transcribed Image Text:Problem 26 Mechane, CH 4, belongs to the Td point group. The reducible representation for the vibrational modes is Treducible = A1 + E + 2T2 a. How many vibrational modes does methane 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? 27 27
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