The perturbation is always large in polarization approximation

Let us cheek (Appendix B) how distant are functions and in the Hilbert space (they are both normalized, i.e. th are unit vectors in the Hilbert space). We will calculate the norm of difference If the norm were small, then the 

the Heitler-London wave function differs from this difference is huge and does not vanish, when i 00. 

Hilbert space. The scalar product of the two unit vectors is equal to 

In a moment we will need function with the intermediate normalization with respect to i.e. satisfying (1/ = 1. Then N will be different and equal to 1. 

ccsflnm = and therefore 0 = 60°, see Fig. 13.8. This means that the three unit vectors p and for 7 oo form an equilateral tri- 

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Polarization Approximation Is Illegal Constructing a Symmetry Adapted Function The Perturbation is Always Large in Polarization Approximation Iterative Scheme of SAPT Symmetry Forcing... 

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