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The first order perturbation expressions for various molecular constants such as isotopic shifts (⊿λ i , ⊿λ i /λ i ), inverse isotopic shifts (⊿σ i , ⊿σ i /σ i ), Coriolis coupling constants (Δξ ij )and mean amplitudes of vibration (Δ∑ ij ) obtained using different equations and approximations are given in detail.

First Order Perturbation Theory in the Study of Molecular Vibrations: Isotopic Rules and Properties of the Different Approximations