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the errors incurred by the conventional measurement of these data. We found them in the order of ±1-2% when we tested this method with Boelhouwer's data.9We also derived a correlation using refractive index instead of specific gravity for the calculation of MW from AEBP. This may be of advantage when only small samples are available. The equation is of the same type as the others: MW = 145 + 32.5 X 10"7(AEBP3/RI5) (7) We applied it to 107 data of distillates from 10 different crude oils published by Boelhouwer and Waterman9 and to 35 petroleum fractions by Kurtz et al.10 Both groups of authors did not provide boiling points but only MWs,

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He received the equivalent to the B.S. degree from the University of Mainz, Germany, in 1952 and the Ph.D. degree from the same university in 1958. After two years as a research associate at the Massachusetts Institute of Technology he joined Chevron Research Company in 1961. He is the author and coauthor of several publications and patents concerning the fractionation and characterization of polymers and other large molecules and their use in industrial applications. He is a member of the American Chemical Society.

A mathematical technique has been developed which permits the calculation of a large number of average structural parameters of petroleum heavy ends. The method requires analytical data obtained from elemental analysis, nuclear magnetic resonance and infrared spectrometry, density and molecular weight determination. The method provides rigorous relations among all structural parameters. It has been successfully applied to a complex model.The structural analysis of crude oil residua, coal, and other complex organic mixtures has been the target of research for many years. The task is difficult for three principal reasons: the wide variety in the structure of components, their high molecular weights, and the limited quantitative analytical information obtainable. During the past 15 years, much progress has been made. Existing separation techniques have been improved; new ones were invented. It is now possible to fractionate complex mixtures into components with relatively narrow structural and molecular weight distributions. Analytical tools such as