In their recent work, Bahadur and Mishra proposed a new simple formula between the high-frequency refractive index and optical electronegativity difference, which has been established for large number of A N B 8-N type binary semiconductors (groups: I-VII, II-VI, III-V and IV-VI.). In the present work, we have improved their expression by addition a correction term in their proposed formula. The minimum average percentage deviation in the present approach reveals that the modified Bahadur relation proves its identity and soundness compared to that of Bahadur's and others authors' relations.