Decius formulas

The correspondence between the Decius formulas and the results obtained in Eq. 1.126 is evident. 

With the Decius formulas, the G-matrix elements of a pyramidal XY3 molecule have been calculated and are shown in Table 1.13. 

Decius JC (1948) A tabulation of general formulas for inverse kinetic energy matrix elements in acyclic molecules. J Chem Phys 16 1025-1034... 

If such calculations are made for several types of molecules, it is immediately seen that the G-matrix elements themselves have many regularities. Decius [79] developed general formulas for writing G-matrix elements. Some of them are as follows ... 

Wilson introduced a convenient vectorial method for obtaining matrix elements which does not use cartesian coordinates. For a complete treatment of this type, see Wilson, Decius, and Cross, Chapter 4, and also Meister and Cleveland. This method will not be discussed here since general formulas have been tabulated for all the common G matrix elements. ... 

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