Transmission-FTIR spectroscopy can be used to analyze analytes in aqueous solutions e.g. Proteins in a formulation. Critical step: In order to correctly analyze the structure of proteins, the buffer solution's spectrum needs to be subtracted from the spectrum of the sample containing proteins. However, due to differences in the amount of water that is present in each sample, the difference spectrum cannot be simply calculated by: Difference Spectrum=Protein Spectrum-Buffer Spectrum.

What is a correct method to calculate the difference spectrum for e.g. algorithm based on least squares? I have looked into many papers and the most frequent answer is that a factor is used in calculating the difference spectrum to ensure that the resulting spectrum has a 0 baseline between 1750-2000 cm-1. But using a factor results in negative peaks in the difference spectrum.

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