He was known for his research in developing methods for the evaluation of overlap and Coulomb integrals over Slater-type orbitals (STOs) for molecular calculations.
His thesis was titled "A Method of Obtaining and Analyzing Time-Resolved Intensity Patterns of the Radiation from Various Regions of a Vacuum Spark Discharge.
[11] From August 3-6, 1981, Jones and Weatherford hosted the first International Conference on ETO Multicenter Molecular Integrals in Tallahassee, Florida.
The conference was sponsored by Florida A&M University's Institute for Molecular Computations and physics department, and involved 34 scientists from eight different countries.
He based his work on the Löwdin alpha functions, and with Charles Weatherford, made considerable progress in the development of the so-called C-matrix with all integer elements.
[1] Between 1976 and 1995, with a grant from the U.S. Air Force, Jones developed a computer program in Fortran language to implement Slater-type orbital calculations digitally.