With this, the initial exchange kernel in DFT is complemented with exact Hartree-Fock exchange which has the correct asymptotic behavior. The ω parameter defines the switching rate and its inverse is proportional to a characteristic interelectron distance. The second (dimensionless) parameter α sets a global r 12 -independent exact-exchange contribution. We assume β = 1α to ensure that the exact exchange cancels self-interaction completely. Thus, the range-separated part of the LC-BLYP functional depends on the parameters (α, ω) that we can exploit for tuning.