Date of Award


Degree Name

Master of Arts



First Advisor

Dr. David D. Carley

Second Advisor

Dr. Michitoshi Soga

Third Advisor

Dr. Larry D. Oppliger

Access Setting

Masters Thesis-Open Access


Integral equation T (a two parameter equation of the Ornstein-Zernike form) is studied for computing the radial distribution functions of simple classical fluids interacting pairwise according to the Lennard-Jones 6-12 potential function. Numerical calculations are done on a computer for the system in the gas and liquid phases. At a high temperature, equation T results are found to agree very well with equation C when the parameters are chosen in a similar way. At a temperature slightly above the critical temperature, results from other sources over a wide density range. In equation T, by varying two of the parameters, the importance of the various terms in the power series expansion can be detected. A new one parameter integral equation is proposed, however more studies should be done to this equation before its usefulness can be acknowledged.