Some literature relations proposed by Vetere are re-examined to simplify their analytical form and to improve their performances. Moreover, their results are compared with those of three literature equations by Riedel, Chen and Liu. Four equations include universal parameters, which can be used for any type of compounds and, to be applied, only require the knowledge of the normal boiling temperature T-b, and of the critical constants T-c and P-c. Other six equations are purely empirical, since they are not based on the corresponding state principle: three of them are function of T-b and of the molecular weight M, while the last three equations need M and the polarity parameter W-p. The parameters of the equations that disregard the use of the critical constants are to be optimised separately for three classes of compounds, namely hydrocarbons, polar compounds and alcohols. Moreover, to have a severe test, nearly 290 experimental data of Delta H-vp were processed, chosen from the most reliable reported in the fifth edition of the properties of gases and liquids. (C) 2011 Elsevier B.V. All rights reserved.