Teaching Haryana (HPSC) Assistant Professor Mock Test 2025 Chemical Sciences Chemical Applications of Group Theory
The character table for the point group C2v is given below.
C2v
E
C2 (z)
σv (xz)
σv' (yz)
h=4
A1
+1
+1
+1
+1
z
x2,y2,z2
A2
+1
+1
-1
-1
Rz
xy
B1
+1
-1
+1
-1
x,Ry
xz
B
+1
-1
-1
+1
y,Rx
yz
In the electronic ground state, H2O has C2v symmetry. Therefore,
| C2v | E | C2 (z) | σv (xz) | σv' (yz) | h=4 | |
| A1 | +1 | +1 | +1 | +1 | z | x2,y2,z2 |
| A2 | +1 | +1 | -1 | -1 | Rz | xy |
| B1 | +1 | -1 | +1 | -1 | x,Ry | xz |
| B | +1 | -1 | -1 | +1 | y,Rx | yz |
1
a fundamental transition to a B1 state is IR active.
2
a fundamental transition to a B2 state is Raman active.
3
a fundamental transition to an A1 state is both IR and Raman active.
4
a fundamental transition to an A2 state is neither IR active nor Raman active.
5
Question Not Attempted