Loos, Pierre-Francois2021-05-282021-05-280021-9606http://hdl.handle.net/1885/235258We show how one can construct a simple exchange functional by extending the well-know local-density approximation (LDA) to finite uniform electron gases. This new generalized local-density approximation functional uses only two quantities: the electron density ρ and the curvature of the Fermi hole α. This alternative “rung 2” functional can be easily coupled with generalized-gradient approximation (GGA) functionals to form a new family of “rung 3” meta-GGA (MGGA) functionals that we have named factorizable MGGAs. Comparisons are made with various LDA, GGA, and MGGA functionals for atoms and moleculesThe author thanks Narbe Mardirossian for useful discussions, the Australian Research Council for a Discovery Early Career Researcher Award No. (DE130101441) and a Discovery Project Grant No. (DP140104071), and the National Computational Infrastructure for generous grants of supercomputer time.application/pdfen-AU© 2017 Author(s)Exchange functionals based on finite uniform electron gases2017-03-2110.1063/1.49784092020-11-23