Ta E A +1 A2 +1

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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linear functions,
quadratic
functions
cubic
Ta E 8C3 3C2 | 6S4| 60d
rotations
functions
A1 +1+1
+1
+1
+1
xyz
A2 +1+1
+1
-1
-1
+2-1
(2z-x²-y², x²-y²)
E
+2
[x(z²-y?), y(z²-x²), z(x²-y?)]
(x³, y³, z°) [x(z°+y}), y(z²+x?), z{x*+y?)]
T1 +30
(Rx, Ry, R2)
-1
+1
-1
T2 +30
-1
-1
+1
(х, у, z)
(ху, хz, yz)
linear functions, quadratic
functions
cubic
C2v E C2 (z) o,(xz) 6,(yz)
O.
rotations
functions
A1
+1|+1
+1
x², y², z² z°, x²z, y²z
+1
A2
+1+1
-1
|-1
Rz
ху
xyz
B1
+1|-1
+1
|-1
х, Ry
XZ
xz?, x³, xy?
B2 +1-1
y, Rx
yz", y³, x²y
-1
+1
yz
linear functions, quadratic
cubic
E 2C4 (z) C2 20, 20d
CAv
rotations
functions
functions
A1
+1|+1
+1|+1
x²+y?, z² | z³, z(x²+y?)
+1
A2
+1+1
+1
-1
-1
Rz
B1
+1-1
+1+1
|-1
x²-y?
z(x²-y²)
B2 +1|-1
+1
-1
+1
ху
xyz
+2|0
-2 0
|(x, y) (Rx, Ry)
(Xz, yz)
|(xz², yz²) (xy², x²y) (x³, y³)
2.
A student synthesized a new molecule of MX4 with either point group Ta, C2v, or Cav each of
the following point group's character tables are reflected above.
A. None of these point groups result in the rule of mutual exclusion
_(T/F)
B. List the possible Raman active modes for each point group
Td
C2v.
CAv,
C. List the possible IR active modes for each point group
Td
C2v.
CAv.
D. MX4 molecules will have
total vibrational modes
Transcribed Image Text:linear functions, quadratic functions cubic Ta E 8C3 3C2 | 6S4| 60d rotations functions A1 +1+1 +1 +1 +1 xyz A2 +1+1 +1 -1 -1 +2-1 (2z-x²-y², x²-y²) E +2 [x(z²-y?), y(z²-x²), z(x²-y?)] (x³, y³, z°) [x(z°+y}), y(z²+x?), z{x*+y?)] T1 +30 (Rx, Ry, R2) -1 +1 -1 T2 +30 -1 -1 +1 (х, у, z) (ху, хz, yz) linear functions, quadratic functions cubic C2v E C2 (z) o,(xz) 6,(yz) O. rotations functions A1 +1|+1 +1 x², y², z² z°, x²z, y²z +1 A2 +1+1 -1 |-1 Rz ху xyz B1 +1|-1 +1 |-1 х, Ry XZ xz?, x³, xy? B2 +1-1 y, Rx yz", y³, x²y -1 +1 yz linear functions, quadratic cubic E 2C4 (z) C2 20, 20d CAv rotations functions functions A1 +1|+1 +1|+1 x²+y?, z² | z³, z(x²+y?) +1 A2 +1+1 +1 -1 -1 Rz B1 +1-1 +1+1 |-1 x²-y? z(x²-y²) B2 +1|-1 +1 -1 +1 ху xyz +2|0 -2 0 |(x, y) (Rx, Ry) (Xz, yz) |(xz², yz²) (xy², x²y) (x³, y³) 2. A student synthesized a new molecule of MX4 with either point group Ta, C2v, or Cav each of the following point group's character tables are reflected above. A. None of these point groups result in the rule of mutual exclusion _(T/F) B. List the possible Raman active modes for each point group Td C2v. CAv, C. List the possible IR active modes for each point group Td C2v. CAv. D. MX4 molecules will have total vibrational modes
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