Previously the usual function for the relationship between distribution coeffcient and standard energy has been used, viz.,

                                    RTln(K)  =  -DG^o

Thus,                     

For mathematical convenience (DG') will be used in the following algebraic arguments instead of (DG).

Let  (DG') be partitioned between (m) substituent atoms or groups (e.g. H, Br, CH₂ etc.).

Then, 

                                                                                                                   (8) 

where (DG'_r) pertains to the element (r) and (n_r) is the number of atoms of element (r) in the solute molecule.