l l l l Io l Io I dx Io I dx Io dI = - γIx dx I γ is the absorption coefficient l Io dI = - γIx dx dI/Ix = - γdx I l Io I dI = - γIx dx dI/Ix = - γdx I x=l I = ∫I=Io 1/Ix dI = - γ ∫x=0 dx l Io I dI = - γIx dx dI/Ix = - γdx I x=l I = ∫I=Io 1/Ix dI = - γ ∫x=0 dx [loge I – loge Io] = -γl l Io I dI = - γIx dx dI/Ix = - γdx I x=l I = ∫I=Io 1/Ix dI = - γ ∫x=0 dx [loge I – loge Io] = -γl I/Io = e-γl I = Ioe-γl I = Ioe-γl Beer’s Law = (4/3ħc) Harry Kroto 2004 = (4/3ħc) n em2 1 Harry Kroto 2004 = (4/3ħc) n em2 1 2 Harry Kroto 2004 = (4/3ħc) n em2 (Nm-Nn) 1 2 3 Harry Kroto 2004 = (4/3ħc) n em2 (Nm-Nn) (o-) 1 2 3 4 Harry Kroto 2004 = (4/3ħc) n em2 (Nm-Nn) (o-) 1 2 3 1. Square of the transition moment 4 n em2 Harry Kroto 2004 NB n em2 ≡ ∫ψn*μeψmdτ Harry Kroto 2004 = (4/3ħc) n em2 (Nm-Nn) (o-) 1 2 3 1. Square of the transition moment 2. Frequency of the light 4 n em2 Harry Kroto 2004 = (4/3ħc) n em2 (Nm-Nn) (o-) 1 2 3 1. Square of the transition moment 2. Frequency of the light 3. Population difference 4 n em2 (Nm- Nn) Harry Kroto 2004 = (4/3ħc) n em2 (Nm-Nn) (o-) 1 2 3 1. Square of the transition moment 2. Frequency of the light 3. Population difference 4 n em2 (Nm- Nn) 4. Resonance factor - Dirac delta function (0) = 1 Harry Kroto 2004
Scarica
