H₂O

Water

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initializing 3d renderer...

selection rules

Raman

Silent

R(C2v, N)1.000

4 / 3 modes observable100%

point group

C2vorder 4

molecule: Water (H₂O)

atoms: 3

vibrational modes: 3(3) - 6 = 3

irreps: 4

operations: E, C₂, σᵥ(xz), σᵥ'(yz)

molecules

C2v

C2h

C3v

C∞v

D∞h

D2h

D3h

D4h

D6h

symmetry elements

C₂axis

σᵥ(xz)plane

σᵥ'(yz)plane

operations

character tableC2v

C2v	E	C₂	σᵥ(xz)	σᵥ'(yz)	linear	quadratic
A₁	1	1	1	1	z	x², y², z²
A₂	1	1	-1	-1	Rz	xy
B₁	1	-1	1	-1	x, Ry	xz
B₂	1	-1	-1	1	y, Rx	yz

mode breakdown

3 modes

3(3) - 6 = 3 vibrational modesclick to animate

A₁IR + Raman[T]2 modes

A₂Raman[R]

B₁IR + Raman[T,R]

B₂IR + Raman[T,R]1 mode

point group flowchartstep 1

start

Is the molecule linear?

All atoms lie along a single straight line. Linear molecules possess a C∞ axis (rotation by any angle about the molecular axis).