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=== Total vibrational modes for water molecule === Total vibrational mode, <math>\Gamma_{\text{vibrational}} = \Gamma_{\text{irreducible}} - \Gamma_{\text{translational}} - \Gamma_{\text{rotational}}</math> <math>= (3A_1 + A_2 + 3B_1 + 2B_2) - (A_1 + B_1 + B_2) - (A_2 + B_1 + B_2)</math> <math>= 2A_1 + B_1</math> So, total <math>2+1 = 3</math> vibrational modes are possible for water molecules and two of them are symmetric vibrational modes (as <math>2A_1</math>) and the other vibrational mode is antisymmetric (as <math>1B_1</math>)
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