Abstract
Quantum biology is the quantum mechanical study of electrons in molecules of biological interest. This requires the solution of problems involving many electrons. Approximation methods are therefore necessary and are discussed. The present study, concerned with the mobile electrons in riboflavin (FMN) and its radicals (FMN−, FMNH and FMNH2 +), is based on the approximation method, developed by B. Pullman and A. Pullman. The solution of the eigenvalue problems so obtained gives the energy levels of the mobile electron systems involved. The corresponding eigenvectors yield the mobile electronic charges of the atoms of riboflavin radicals which have contributed mobile electrons. Important differences of the net charge distributions of these radicals are emphasized. The longest wave length of light absorption is calculated from the obtained energy levels and agrees, within the accuracy of the method, with corresponding experimental results. From the appropriate calculated results, electronic assignments are obtained for the experimental transitions involved.
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Literature
Beinert, H. 1956a. “New Evidence for the Occurrence of Free Radicals in Flavoprotein Catalysis.”Biochem. et Biophys. Acta.,20, 588–90.
— 1956b. “Spectral Characteristics of Flavins at the Semiquinoid Oxidation Level.”Jour. Am. Chem. Soc.,78, 5323–28.
Coulson, C. A. 1952.Valence. Oxford: Clarendon Press.
Fajans, K. 1949. “Electric Forces and Electronic Configurations in Carbon Compounds.”Chem. and Eng. News.,27, 900–04.
— 1959. “Quantikel-Theorie der Chemischen Binding.”Chimia.,13, 349–66.
Goldstein, J. H. 1956. “Quadrupole Coupling and Bond Character in the Vinyl Halides,”Jour. Chem. Phys.,24, 106–09.
Isenberg, I. and A. Szent-Györgyi. 1958. “Free Radical Formation in Riboflavin Complexes.”Proc. Nat. Acad. Sci.,44, 857–62.
Isenberg, I. and A. Szent-Györgyi. 1959. “On the Absorption of Heterocyclic Electron Donors and Acceptors.” —Ibid.,45, 519–21.
Karreman, G., I. Isenberg and A. Szent-Györgyi. 1959. “On the Mechanism of Action of Chlorpromazine.”Science,130, 1191–92.
Kauzmann, W. 1957.Quantum Chemistry. New York: Acad. Press.
Pariser, R. and R. G. Parr. 1953. “A Semi-Empirical Theory of the Electronic Spectra and Electronic Structure of Complex Unsaturated Molecules I.”Jour. Chem. Phys.,21, 466–71.
Pitzer, K. S. 1953.Quantum Chemistry, New York: Prentice-Hall.
Pauling, L. 1948.The Nature of the Chemical Bond. Ithaca: Cornell University Press.
Pullman, A. and B. Pullman. 1952.Les Théories Electroniques de la Chimie Organique. Paris: Masson et Cie.
Pullman, A. and B. Pullman. 1955.Cancérisation par les Substances Chimiques et Structure Moléculaire. Paris: Masson et Cie.
Pullman, B. and A. Pullman. 1958a. “La Chimiothérapie des Cancers et des Leucémies.” Comp. Rend. Centre National de la Recherche Scientifique. Colloques Internat. 3 et 4 mai 1957, 201–14.
— 1958b. “Electron-Donor and-Acceptor Properties of Biologically Important Purines, Pyrimidines, Pteridines, Flavins and Amino-Acids.”Proc. Nat. Acad. Sci.,44, 1197–1202.
— 1959. “The Electronic Structure of the Respiratory Coenzymes.”Proc. Nat. Acad. Sci.,45, 136–44.
— 1960. “Some Electronic Aspects of Biochemistry.”Rev. Mod. Phys. 32, 428–436.
Szent-Györgyi, A. 1960.Introduction to a Submolecular Biology. New York: Acad. Press.
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Karreman, G. Contributions to quantum biology. I. Mobile electronic characteristics of riboflavin radicals. Bulletin of Mathematical Biophysics 23, 55–68 (1961). https://doi.org/10.1007/BF02476574
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DOI: https://doi.org/10.1007/BF02476574