Raman spectra of series of aqueous solutions of peptides containing two amino acids, glycine-X, alanine-X, and serine-X, where X is an uncharged amino acid, show that the amide III band shifts systematically to lower frequencies as the side chain of the X amino acid becomes larger. The range of this shift is about 20 cm-1, starting at 1275 cm-1 for alanine-glycine and moving to 1251 cm-1 for alanine-tryptophan, with a correlation coefficient of 0.93 with the mass of the X amino acid side chain for 10 peptides. The amide I frequencies remain constant as the X amino acid is changed. This shift may result from a change in the average conformational preference of the peptide, a change in vibrational coupling of the amide III modes with the X amino acid side chain, a change in molecular force constants, or a combination of these. These results present a test for computational methods.