[問題] 愛因斯坦係數
在Optical Properties of Solids(作者為Mark Fox)的附錄B中,
提到(B.7) B12*N1*u(ν) = A21*N2+B21*N2*u(ν)
(B.8) N2/N1 = (g2/g1)*exp[-hν/kT]
(B.9) u(ν) = (8πhν/c^3)*(exp[hν/kT]-1)^-1
所以(B.10) g1*B12 = g2*B21
(B.11) A21 = (8πhν/c^3)*B21
我的疑問是,要怎麼用前三條等式消掉四個未知數(N1,N2,B12,B21)?
最多只能N2/N1 = (g2/g1)*exp[-hν/kT] = (B12*u(ν))/(A21+B21*u(ν))
然後代入(B.9)
這樣應該無法得到(B.10)跟(B.11)吧....
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