WEB TUTORIAL - Group Theory
Interpreting Results
Now that the Reduction Forumla has given us the A1 and B1 representations we have to check the Character Table for Normal and Quadratic Terms to determine whether the A1 and B1 representations will be IR or Raman active.
| C2v | E | C2 (z) |  v(xz) | v(yz) | Linear functions, rotations | Quadratic functions | Cubic functions |
| A1 | +1 | +1 | +1 | +1 | z | x2, y2, z2 | z3, x2z, y2z |
| A2 | +1 | +1 | -1 | -1 | Rz | xy | xyz |
| B1 | +1 | -1 | +1 | -1 | x, Ry | xz | xz2, x3, xy2 |
| B2 | +1 | -1 | -1 | +1 | y, Rx | yz | yz2, y3, x2y |
From this we see that they are both IR and Raman active. This should be reported in the style shown below:
Γstretch = A1 (IR,R) + B1 (IR,R)
