Abstract

The characteristics of the Raman difference spectra which result when one Raman signal arising from a particular chemical species is subtracted from a second Raman signal due to the same species in a different system, have been examined for both Lorentzian and Gaussian band profiles. The mathematical relationships between δ (frequency separation in the difference spectra), d (intensity of difference spectra), Δ (frequency separation between the two Raman spectra), I0 (Raman band height), and Γ (Raman bandwidth) have been derived. The relationship between the ratios d/I0 and Δ/Γ is most useful for the determination of very accurate values of Δ, the frequency shift. These can often be determined to within ±0.01 cm−1.

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