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Range separated hybrid density functionals are very successful in describinga wide range of molecular and solid state properties accurately. Rangeseparated hybrid functionals are designed from spherically averaged or systemaveraged reversed engineered exchange hole. In the present attempt, we employscreened range separated hybrid functional scheme to the meta-GGA rung by usingTao-Mo semilocal exchange hole (or functional). The hybrid functional proposedhere utilizes the spherically averaged density matrix expansion based exchangehole in range separation scheme. For slowly varying density correction, weemploy range separation scheme only through the local density approximation(LDA) based exchange hole coupled with the slowly varying Tao-Mo enhancementfactor through the conventional wisdom technique. Comprehensive performance andtesting of the present functional shows, it accurately describes severalmolecular properties. The most appealing feature of this present screenedhybrid functional is that it will be practically very useful in describingsolid state properties in meta-GGA level.

Employing semilocal exchange hole with an application to meta-GGA level screened range separated hybrid functional: A conventional wisdom method