I have tried by Shake flask method using octanol-buffer and potentiometric titrations.

Shake flask method- Compounds are acridone derivatives and are insoluble in water. Tried to dissolve using co-solvents like methanol and DMSO, but after partition with octanol corresponding compound peaks were not seen in UV spectra.

Alternatively, dissolved 5mg of the compound in octanol- its completely soluble. But after partition taken UV spectra of buffer- compound peaks were not seen.

Potentiometric titrations- Compounds are acridone derivatives, due to strong interaction between carbonyl group and ring nitrogen- not soluble in NaOH and HCl too.

Can anyone suggest any alternative method for log P and pKa determination of the compounds experimentally? 

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