Friday, May 13, 2011

Energy of Electron in Each Orbit

For hydrogen atom, the energy of the revolving E, is the sum of its kinetic energy ( ½ mv2) and potential energy ( –e2/r).
E = ½ mv2 – e2/r ----------- (4)
From equation (1)
mv2 = e2/r
Substituting the value of mv2 in (3)
E = ½ e2/r – e2/r
Or,
E = –e2/2r -------------(5)
Substituting the value of ‘r’ from equation (3) in (5),
E = – e2/2 × 4π2me2/n2h2
E = – 2 π2me4/n2h2
By using proper integer for ‘n’ (quantum number), we can get the energy for each orbit.

2 comments:

  1. thank you so much for this.....very helpful

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  2. Many many thanks. Can you pl give the derivation of schrodinger's equation and de Broglie's equation? It will be helpful for us.

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