Derivation of Eq. 11.3 Part I

Using the rectangular coordinates, we write the kinetic energy as 

PzN take similar forms. Using the conjugate momenta, we write T as 

E)efine a set of conjugate momenta P associated with internal coordinates, R. As is shown at the end of this Appendix, we have 

If we denote the coordinates corresponding to the translational and roUilional motions of ihc molecule by Rj and its conjugate momentum by p  

Then the momentum p, in terms of rectangular coordinates is written as 

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