The vibration of the water molecule is composed of three normal modes. Two modes are stretching the molecule along the covalently bound O and H. The third is bending the entire molecule in the σvxz reflection plane that is spanned by the three atoms, basically changing the angle α(H-O-H). The stretching mode ν1(A1) and the bending mode ν2(A1) are symmetric with respect to the σvyz reflection plane, while the stretching mode ν3(B2) is antisymmetric.
Water is in the C2v point group with the symmetry elements: C2 axis (black), σvxz plane (cyan) and σvyz plane (yellow). [check symotter-gallery]
Normal mode decomposition: This image illustrates the decomposition of vibrational normal modes (x-axis) into internal coordinates (y-axis).
ν3(B2) | νasOH
antisymmetric stretching
ν1(A1) | νsOH
symmetric stretching
ν2(A1) | δsOH
bending