DERIVATION OF MASS-ENERGY RELATION FOR COMPUTATION OF ENERGIES OF ATOMIC AND NUCLEAR PARTICLES
DOI:
https://doi.org/10.60787/jnamp-v66-317Keywords:
Speed of light, radiation law, blackbody, Planck, Wein, mass-energy relation, Bahjat, Einstein, transcendental equationAbstract
In this study, a new mass-energy concept (mvc) has been derived by employing blackbody relation and Einstein’s relativistic relation. Einstein’s relation, mc2, 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, mc2, 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 = mc2, 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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