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Fermi’s Golden Rule Io I l Harry Kroto 2004
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Incident intensity Io Harry Kroto 2004
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Observed transmitted intensity
Incident intensity Io I Harry Kroto 2004
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Observed transmitted intensity
Incident intensity Io I l Path length though sample Harry Kroto 2004
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Observed transmitted intensity
Incident intensity Io I l Path length though sample Calculus problem Harry Kroto 2004
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Infinitely thin section
x Observed transmitted intensity Incident intensity Io I l Path length though sample Calculus problem Harry Kroto 2004
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Infinitely thin section
x Observed transmitted intensity Incident intensity Io I l Path length though sample Calculus problem Harry Kroto 2004
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dI = - I dx Harry Kroto 2004
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dI = - I dx dI/ I = - dx Harry Kroto 2004
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dI = - I dx dI/ I = - dx ∫dI/ I = - ∫ dx Harry Kroto 2004
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dI = - I dx dI/ I = - dx ∫dI/ I = - ∫ dx
[logI – log Io] = - [l – 0] Harry Kroto 2004
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dI = - I dx dI/ I = - dx ∫dI/ I = - ∫ dx
[logI – log Io] = - [l – 0] logI/Io = - l Harry Kroto 2004
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dI = - I dx dI/ I = - dx ∫dI/ I = - ∫ dx
[logI – log Io] = - [l – 0] logI/Io = - l I/Io = e - l Harry Kroto 2004
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Beer Lambert Law I/Io = e - l Harry Kroto 2004
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Harry Kroto 2004
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US Beer Harry Kroto 2004
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British Beer Harry Kroto 2004
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= Constant n em 2 (Nm-Nn) (o-)
depends on: How strong the interaction with radiation is – usually depends on the dipole moment n ΔE=hω m = Constant n em 2 (Nm-Nn) (o-) Harry Kroto 2004
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= Constant n em 2 (Nm-Nn) (o-)
depends on: How strong the interaction with radiation is – usually depends on the dipole moment Can the transition occur – depends on a Selection Rule n ↔ m or not n ΔE=hω m = Constant n em 2 (Nm-Nn) (o-) Harry Kroto 2004
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= Constant n em 2 (Nm-Nn) (o-)
depends on: How strong the interaction with radiation is – usually depends on the dipole moment Can the transition occur – depends on a Selection Rule n ↔ m or not The number of transitions up minus the number down n ΔE=hω m = Constant n em 2 (Nm-Nn) (o-) Harry Kroto 2004
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= Constant n em 2 (Nm-Nn) (o-)
depends on: How strong the interaction with radiation is – usually depends on the dipole moment Can the transition occur – depends on a Selection Rule n ↔ m or not The number of transitions up minus the number down Whether the transition is resonant with the radiation frequency ω En- Em = hω n ΔE=hω m = Constant n em 2 (Nm-Nn) (o-) Harry Kroto 2004
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is the absorption coefficient Fermi’s Golden Rule
Beer Lambert law I= Io e-l is the absorption coefficient Fermi’s Golden Rule = (83/3hc)n em 2 (Nm-Nn)(o-) Harry Kroto 2004
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Beer Lambert law I= Io e-l is the absorption coefficient
Fermi’s Golden Rule Beer Lambert law I= Io e-l is the absorption coefficient = (83/3hc)n em 2 (Nm-Nn)(o-) Harry Kroto 2004
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is the absorption coefficient
Fermi’s Golden Rule Beer Lambert law I= Io e-l is the absorption coefficient depends on: depends on: Harry Kroto 2004
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