An INDO method is developed for molecules containing Na-CJ. Using only valences and p orbitals, the parametrization is carried out in the spirit of the approach originally taken by Pople and co-workers. The reliability of the method is tested by calculating geometries, dipole moments, and internal rotation barriers for approximately 100 molecules. The improvement in predictive ability relative to previous parametrizations is considerable. Predicted geometries are nearly as good as those for ST03G. Dipole moments of molecules containing Si and Clare in excellent agreement with experiment, while for P and S the agreement is only fair.