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bobie
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I am studying the angular moment(s) in an atom of H (1s) in the classical model, can you help me understand some obscure points :
The mechanical orbital angular moment of the electron in 1s is L = mvr J*s:
(m) 9.11*10-31 *(v) 2.1877*106* (r) .52918*10-10 = 1.0546*10-34 J*s = h/2π,
the magnetic moment is μ = qvr/2 J/T:
1.6*10-19*(v) 2.1877*106* (r) .52918*10-10 /2=9.274 *10-24 J/T
first problem : this is the exact value of Bohr magneton μB (= qh/22πm), not of μ
The gyromagnetic factor γ (http://en.wikipedia.org/wiki/Magnetogyric_ratio) is the ratio μ / L : γ = qvr/2 *mvr = q/m2 (J/T / J*s =1/s*T) = 1.7588*1011/2 radian/s*T, γ = 8.79*1010 r/Ts
For the spinning electron wiki says:
Thanks for your help
The mechanical orbital angular moment of the electron in 1s is L = mvr J*s:
(m) 9.11*10-31 *(v) 2.1877*106* (r) .52918*10-10 = 1.0546*10-34 J*s = h/2π,
the magnetic moment is μ = qvr/2 J/T:
1.6*10-19*(v) 2.1877*106* (r) .52918*10-10 /2=9.274 *10-24 J/T
first problem : this is the exact value of Bohr magneton μB (= qh/22πm), not of μ
The gyromagnetic factor γ (http://en.wikipedia.org/wiki/Magnetogyric_ratio) is the ratio μ / L : γ = qvr/2 *mvr = q/m2 (J/T / J*s =1/s*T) = 1.7588*1011/2 radian/s*T, γ = 8.79*1010 r/Ts
For the spinning electron wiki says:
second question: how do I verify g=1, shall I take into account the electron classical radius 2.81*10-15 m* 9.11*10-31 kg and what speed?As mentioned above, in classical physics one would expect the g-factor to be ge=1 ...(whereas it is 2.0023..., γe = 1.76*1011: q/m 1.7588*ge/2= 1.01169)
Thanks for your help
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