Novel Applications of Topological Indices. 1. Prediction of the Ultrasonic Sound Velocity in Alkanes and Alcohols

Several different topological indices (the carbon number, the Wiener index, the Balaban dis­ tance sum connectivity index, the Randic molecular identification number, and the Randic molecular connectivity indices °/, 2%, 3̂ p and 3/ c) were employed in the correlation of the velocity of ultrasonic sound in a variety of alkane and alcohol species. Using linear regression analyses and published sound velocity data, a number of excellent correlations were obtained for both alkanes and alcohols. Equations are developed which permit the prediction of sound velocity in these species to within 2% in most cases.