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Davidson et al. has extended Seeger's mass formula to non-zero excitationenergies by introducing temperature-dependent coefficients in the liquid dropenergy part of the semi-empirical mass formula, without considering the shelleffects. The semi-empirical mass formula of Davidson et al. is applicable forthe compound nucleus temperatures less than or equal to 4 MeV. The mass excesscalculated using this mass formula including shell effects/corrections does notreproduce the ground state mass excesses of the new atomic mass evaluation dataAME2020 and/or FRDM(2012) with its coefficients at zero temperature. So, thecoefficients of the semi-empirical mass formula are needed to be tuned toreproduce the ground state mass excess of the nuclei in the recent atomic massevaluation data AME2020 and/or FRDM(2012). The bulk and neutron-protonasymmetry coefficients of the semi-empirical mass formula of Davidson et al.with shell effects have been tuned to reproduce the mass excess data for allthe nuclei of AME2020 (Z=1-118 and A=1-295) and the nuclei of FRDM(2012)(Z=8-136 and A=16-339, except 3456 nuclei which are also available in theAME2020 data) at zero temperature, i.e., the coefficients are tuned for 9420nuclei known at present. The tuned bulk and neutron-proton asymmetrycoefficients reproduce the mass excess of the new atomic mass evaluation dataAME2020 and/or FRDM(2012) within a difference of less than 1 MeV and can beused for the applications/investigations in the areas of physics where highenergies are experienced or nuclei involved are in excited states, e.g.,fusion-evaporation and fusion-fission processes in heavy-ion reactions.

Bulk and neutron-proton asymmetry coefficients of the semi-empirical mass formula tuned to ground state mass excess of AME2020 and/or FRDM(2012)