The equations for the Dirac statistical field for an arbitrary molecule are obtained with boundary conditions, virial theorem, and an identity containing charge and energy integrals. Equations are obtained in which the forces between nuclei are related to kinetic energy. Numerical solutions of the statistical field equations for nitrogen are presented in graphical form, together with a discussion of numerical methods used to obtain them. The numerical results in conjunction with theoretical arguments show that it is not plausible that the statistical field should lead to binding for any molecule.

• Received 26 November 1954

DOI:https://doi.org/10.1103/PhysRev.99.1291