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Calculate the wavelength of the red and violate satellites, closest to the fixed line, in the vibrations specturm of Raman scattering by F_(2) molecule if the incident light wavelength is equal to lambda_(0)= 404.7nm and the natural vibration frequency of the molecule is omega-2.15.10^(14)s^(-1) |
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Answer» Solution :If `lambda_(R)=` wavelength of the red satellite and `lambda_(V)=` wavelength of the violet satellite and `(2piħc)/(lambda_(R))=(2pi ħc)/(lambda_(0))- ħomega` and `(2pi ħc)/(lambda_(V))=(2pi ħhc)/(lambda_(0))` Substitution gives `lambda_(R)= 424.3nm` `lambda_(V)= 386.8nm` The TWO FORMULAS can be combined to give `lambda=((2pic))/(((2pi c))/(lambda_(0))+-)=((lambda_(0)))/(1+-(lambda_(0)omega)/(2 pic))` |
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