  We devise a scheme for converting an existing exchange functional into its
range-separated hybrid variant. The underlying exchange hole of the
Becke-Roussel type has the exact second-order expansion in the interelectron
distance. The short-range part of the resulting range-separated exchange energy
depends on the kinetic energy density and the Laplacian even if the base
functional lacks the dependence on these variables. The most successful
practical realization of the scheme, named LC-PBETPSS, combines the
range-separated PBE exchange lifted to the hybrid meta-GGA rung and the TPSS
correlation. The value of the range-separation parameter is estimated
theoretically and confirmed by empirical optimization. The D3 dispersion
correction is recommended for all energy computations employing the presented
functional. Numerical tests show remarkably robust performance of the method
for noncovalent interaction energies, barrier heights, main-group
thermochemistry, and excitation energies.
