Initially ground state dipole moment was calculated from the theoretical method using software. Due to lack of facilities I can not calculate Excited state dipole moment. Seeking to calculate mathematically (excited state).
If your molecule shows absorption and emission spectra, then measure solvent dependent spectral properties , and from the stoke's shift value you can determine excited state dipole moment , using Lippert's , or Bakhshiev's or Kawski–Chamma–Viallet's equation....Read the papaer, you will understand the whole thing clearly
As Snigdha said, the calculation of the difference between the ground and excited state dipole moments is fairly srtaightforward with the lippert-mataga equation. Just remember to use non-protic solvents, otherwise you might find specific effects that mess the relationship. there are quite a few references that use it, just google the name of the equation.
In case your compound is non-emitting you can still calculate excited state dipole moments by using only absorption data according to Suppan and Tsiamis: Spectrochim. Acta 36A, 1980, 971 or Suppan: Chem. Phys. Lett. 1983, 94, 272.
For the calculation of dipole moment by using the relation pg= m2-m1/2 {hca3/2m1}1/2. May I know how the units as a whole converted to Debye. Kindly suggest.