Friday, 22 July 2016

quantum chemistry - Why replace c with v in Broglie hypothesis


I am in XI and I am currently studying atomic orbitals, I stumbled up and am stuck at the following step of de Broglie's hypothesis.


I did a little search on-line and found almost same derivation everywhere, the only place I found a more complex and supposedly accurate formula was the Wikipedia itself, though it did not explain the derivation.


Few such sites:



In the derivation of the formula 1λ=hmc=hmv


we replace c with v. I want to ask why?


As of Wikipedia it gives a better formula with the Lorentz factor γ :-


1λ=hγmoc=hmov1v2c2



Can anyone give the derivation or a hint or a logic that helps understand why the derivation from E=mc2 and E=hν gives the De Broglie equation.




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