A bottom-up approach to build the hyperpolarizability of peptides and proteins from their amino acids

We experimentally demonstrate that some peptides and proteins lend themselves to an elementary analysis where their first hyperpolarizability can be decomposed into the coherent superposition of the first hyperpolarizability of their elementary units. We then show that those elementary units can be associated with the amino acids themselves in the case of nonaromatic amino acids and nonresonant second harmonic generation. As a case study, this work investigates the experimentally determined first hyperpolarizability of rat tail Type I collagen and compares it to that of the shorter peptide [(PPG) ₁₀]₃, where P and G are the one-letter code for Proline and Glycine, respectively, and that of the triamino acid peptides PPG and GGG. An absolute value of (0.16 ± 0.01) × 10^-30 esu for the first hyperpolarizability of nonaromatic amino acids is then obtained by using the newly defined 0.087 × 10^-30 esu reference value for water. By using a collagen like model, the microscopic hyperpolarizability along the peptide bond can be evaluated at (0.7 ± 0.1) × 10^-30 esu.