Abstract
We show that a Stark Hamiltonian can be transformed to an effective one which is block-diagonal with respect to polyads of interacting vibrational states. The transformation does not modify the block diagonal parameters of the effective dipole moment operator, whereas parameters of the polarizability tensor have additional contributions. These contributions are however small. The effective Stark Hamiltonian describing the quadratic Stark effect has been written for 0100 and 0001 interacting vibrational states of tetrahedral XY 4 molecules. We found a strong correlation between the effective dipole moment parameters and the parameters of the effective polarizability tensor in this Hamiltonian. To remove this correlation, the effective Stark Hamiltonian has been transformed to reduced form. Numerical tests of these predictions have been performed.
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