Semi-empirical RSH functionals for which the range-separation parameter should
be considered fixed include the $\omega $B97, $\omega $B97X, and $\omega $B97X-D
functionals developed by Chai and Head-Gordon;^{158, 159}
$\omega $B97X-V and $\omega $B97M-V from Mardirossian and
Head-Gordon;^{606, 608} M11 from Peverati and
Truhlar;^{716} $\omega $B97X-D3, $\omega $M05-D, and
$\omega $M06-D3 from Chai and coworkers;^{572, 571} and the
screened exchange functionals N12-SX and MN12-SX from Truhlar and
co-workers.^{720} More recently, Mardirossian and Head-Gordon
developed two RSH functionals, $\omega $B97X-V and $\omega $B97M-V, via a
combinatorial approach by screening over 100,000 possible functionals in the
first case and over 10 billion possible functionals in the second case. Both of
the latter functionals use the VV10 non-local correlation functional in order
to improve the description of non-covalent interactions and isomerization
energies. $\omega $B97M-V is a 12-parameter meta-GGA with 15% short-range exact
exchange and 100% long-range exact exchange and is one of the most accurate
functionals available through rung 4 of Jacob’s Ladder, across a wide variety
of applications. This has been verified by benchmarking the functional on
nearly 5000 data points against over 200 alternative functionals available in
Q-Chem.^{608}