Audran G, Marque SRA, Santelli M. Power Law Distribution Concerning Absolute Free Energies of Linear Sulfur Chains, Polythiazyls, Polyisoprenes, Linear trans-Polyenes, and Polyynes.
J Phys Chem A 2019;
123:1380-1388. [PMID:
30676742 DOI:
10.1021/acs.jpca.8b09969]
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Abstract
After quantum calculations of absolute free energies of polyatomic sulfur derivatives or hydrocarbon oligomer compounds, we have studied the variations of G n as a function of the number of repeating units n (sulfur atoms or hydrocarbon units, n = 2 to about 60), and observed that these values can be correlated by (a) a nearly perfect linear relationship, G n = An + B (A and B, constants), with a high accuracy which enables an extrapolation for higher values of n, and (b) a power law:, δ G = G n/ n - G( n-1) /( n - 1) = C/ n d ( C and d, constants). From comparison of variations of the C-C bond lengths, we show that the conjugation of trans-polyenes (up to C60H62) is more important than for polyynes (up to C60H2).
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