Inorganic Chemistry
Coordination compounds
linear functions,
Ta E 8C3 3C2 654 600
rotations
quadratic
functions
cubic
functions
A +1 +1
+1
+1
+1

x² + y² +2²
xyz
A2 [+1 +1
+1
 1
 1

E
+2 1
+2
0
0
T +3 0
1
+1
1
(Ry, Ry, R)
(222x2y?, x²y2)
[x(22y2), y(zx²), z(x2y?)]
(xy, xz, yz) (x, y), 2) [x(z++y2), y(z+x²), z(x2+y2)]
T
+3 0
 1
 1
+1
(x, y, z)
C2v E C2 (2) (xz) (y)
linear functions, quadratic
rotations functions
cubic
functions
A1 +1 +1
+1
+1
z
x?, y?, Z2 Z3, x?z, y z
A2 +1+1
1
1
RZ
xy
xyz
BI
+1 1
+1
1
x, Ry
XZ
B2
+1 1
 1
+1
xz?, x3, xy2
ly, R,
yz yz², y³, x²y
linear functions, quadratic
cubic
rotations functions
functions
z
x2+y?, 22 z?, z(x2+y2)
C4 E 2C4 (z) C2 20, 200
AL  +1 +1
+1+1
+1
A2 +1 +1
+1 1
 1
R₂
B +1 1
+1 +1
1

x²y²
z(x2y)
B2
+1 1
+1 1
+1
xy
xyz
E
+2 0
20
0
(x, y) (Ry, Ry)
(xz, yz) (xz², yz?) (xy?, xy) (xº, y)
2. (14 points) A student synthesized a new molecule of MX4 with either point group Td, 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
To
C2v_
Cav
D. MX4 molecules will have
total vibrational modes