# DERIVATION OF MASS-ENERGY RELATION FOR COMPUTATION OF ENERGIES OF ATOMIC AND NUCLEAR PARTICLES

## DOI:

https://doi.org/10.60787/jnamp-v66-317## Keywords:

Speed of light, radiation law, blackbody, Planck, Wein, mass-energy relation, Bahjat, Einstein, transcendental equation## Abstract

In this study, a new mass-energy concept (mvc) has been derived by employing blackbody relation and Einstein’s relativistic relation. Einstein’s relation, mc^{2}, would apply perfectly to particles with the speed of light that is photons.The method employed semi-classical Newtonian concept of relativistic mass-energy theory, Bahjat mass-energy concept (mbc), Blackbody radiation and Plank’s radiation law. A solution of a transcendental equation was obtained using graphical means from which the conversion factor in the relativistic energy relation, mc^{2}, is found to be vc, where v = 1.8 and c remains the speed of light. Results in the calculation of atomic mass units shows that Einstein’s mass-energy relation over estimates the energies of nuclear matter while that of Bahjat underestimates the same. Therefore, thenew mass-energy concept, E = mc^{2}, becomes E = mvc, where v is the speed for particles with mass and v = c for a photon. Examples can be seen clearly in the unified atomic mass units and the calculation of binding energy.

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*The Journals of the Nigerian Association of Mathematical Physics*,

*66*, 133-140. https://doi.org/10.60787/jnamp-v66-317