Rasolt, M.Geldart, D. J. W.2013-06-192013-06-191975-11/03Rasolt, M., and D. J. W. Geldart. 1975. "Gradient corrections in the exchange and correlation energy of an inhomogeneous electron gas." Physical Review Letters 35(18): 1234-7. Copyright © 1975 American Physical Society.0031-9007http://dx.doi.org/10.1103/PhysRevLett.35.1234http://hdl.handle.net/10222/25000A closed form expression for the coefficient Bxc which determines the first gradient corrections to the exchange and correction energy is derived. The exact expression is obtained from an approximation that includes the random phase approximation and higher-order contributions. Results for the metallic density range are presentedElectron gasarticle35181234