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The trans-1,2-dichloroethene molecule belongs to the C2h point group. Here's a breakdown of its symmetry properties:
Point Group: C2h
Number of Atoms: 4
Symmetry Elements:
Identity (E)
C2 Rotation (about the C=C bond)
Horizontal Mirror Plane (σh)
Inversion Center (i)
Degrees of Freedom: 3N = 12
Vibrational Modes: 12 - 3 (translations) - 3 (rotations) = 6
Symmetry Vibrations:
Γvib = 2A + 2B + 2Au + 2Bu
IR Active: Vibrations that transform as the x, y, or z coordinates are IR active. In this case, the 2Bu modes are IR active.
Raman Active: Vibrations that transform as the x², y², z², xy, xz, or yz coordinates are Raman active. The 2Ag modes are Raman active.
Combination Bands: These occur when two or more vibrational modes interact. The combination bands can be both IR and Raman active depending on the symmetry of the individual modes involved.