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A critical examination of the Rittner potential is undertaken through the Simon-Parr-Finlan technique, including the contribution of the polarisability of ions and the Van der Waal’s term. We develop an equation for the SPF constants which are related to the spectroscopic constants and the polarisability of the constituent ions. Our analysis indicates an excellent agreement for dissociation energies of 20 alkali halides with the available experimental data. This analysis is therefore expected to yield satisfactory results for other spectroscopic constants. The paper also cites theoretical values of the SPF coefficients, namely, $Y20$ and $Y11$ for the 20 alkali halides, which compare favourable with the experimental data.