By Born, Max
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Ij (33) In that cases expression (29) can be rewritten as σ molecule = σi − i σij , (34) i PDB file in the Brookhaven Protein Databank. ) Fig. 13 presents differential elastic as well as total elastic and inelastic cross sections calculated in two different ways. The first procedure was the SCAR one under IAM approximation for the 760 individual atoms. The second procedure was the SCAR-M one under the IMM approximation for the 24 nucleotides. 44 A. Muñoz et al. Fig. 13. Comparison of results form the SCAR-M (continuous lines) and SCAR (dashed lines) treatments for 1BNA complex. Differential elastic and total (elastic and inelastic) cross section. 4! N! (30) Energy Deposition Models at the Molecular Level in Biological Systems (1) εi (k) εi = 1, 37 (31) N −k+1 ∼ = N −1 (k−1) σj εj j (=i) αij (k = 2, . . , N). (32) In above expressions N stands for the number of atoms in the molecule, the j index runs over all the N atoms except the i one, rij is the distance between centres of atoms i and j and αij = max(4πrij2 , σi , σj ). We will describe here the origin of the above expressions only for the simplet diatomic case. For a diatomic molecule (or for a general one, if one ignores multiple atom overlap(2) pings) only the εi terms survive in above expressions, and then they reduce to si = 1 − 1 2 j (=i) σj . The statistical interpretations of quantum mechanics by Born, Max
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