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We construct and study several semilocal density functional approximationsfor the positive Kohn-Sham kinetic energy density. These functionals fit thekinetic energy density of the Airy gas and they can be accurate for integratedkinetic energies of atoms, molecules, jellium clusters and jellium surfaces. Wefind that these functionals are the most accurate ones for atomization kineticenergies of molecules and for fragmentation of jellium clusters. We also reportthat local and semilocal kinetic energy functionals can show "binding" when thedensity of a spin unrestricted Kohn-Sham calculation is used.

Kinetic energy density functionals from the Airy gas, with an application to the atomization kinetic energies of molecules