CCL: Help for partial charge of nitrogen atoms in pyrimidine, pyridine and pyrazine



Hello, Dear CCL'rs:
 
I calculated CHELPG partial charge on nitrogen atoms in pyridine, pyrimidine and pyrazine (also 4-azaindole,  4,6-diazaindole and 4,7-diazaindole) for later binding free energy caculation. 
Based on their pKa and inductive effect,  I would expect that the electron density on nitrogen atoms in pyrimidine or 4,6-diazaindole would be smaller than those in pyridine/4-azaindole.  (correct me if I am wrong) However, I got larger partial charge on nitrogen atoms in pyrimidine from gaussian calculation: 
  
compound                CHELPG partial charge on Nitrogen                    pKa
pridine                                  -0.6043                                                5.1
pyrimidine                           ~  -0.77                                                 1.3
pyrazine                               -0.4395                                                0.6
 
I used B3LYP/6-31G(d) basis set in the above calculation.  I had tried several other basis sets and charges (Mulliken and Merz-Kollman), and obtained the same obseration.  Is my assumption wrong?  Please share your experience with me.  Thanks in advance for you help!
 
Best wishes,
 
Minghu Song
Locus Pharmaceuticals


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