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From theory of spectra to standardless analysis of molecular objects

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Abstract

The authors discuss the methodology of quantitative analysis of pure substances and mixtures by optical spectra (IR, Raman, UV, etc.) without using samples of standard composition (standardless molecular spectral analysis). An algorithm of quantitative mixture analysis using the reduction of ideal spectra to real ones and computational algorithms of the determination of component concentrations in a mixture taking into account error distribution is proposed. The applicability of the method is estimated using computational experiments parsed and conclusions about the specific features of its work are drawn.

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References

  1. Elyashberg, M.E., Usp. Khim., 1999, vol. 68, no. 7, p. 579.

    Google Scholar 

  2. Blinov, K.A., Smurnyy, Y.D., Churanova, T.S., Elyashberg, M.E., and Williams, A.J., Chemom. Intell. Lab. Syst., 2009, vol. 97, p. 91.

    Article  CAS  Google Scholar 

  3. Elyashberg, M.E., Blinov, K.A., Smurnyy, Y.D., Churanova, T.S., and Williams, A.J., Magn. Reson. Chem., 2010, vol. 48, p. 219.

    CAS  Google Scholar 

  4. Gribov, L.A., Zh. Anal. Khim., 1995, vol. 50, no. 6, p. 589.

    Google Scholar 

  5. Gribov, L.A., Elyashberg, M.E., and Karasev, Yu.Z., Anal. Chim. Acta, 1995, vol. 316, p. 217.

    Article  CAS  Google Scholar 

  6. Gribov, L.A., Baranov, V.I., and Elyashberg, M.E., Bezetalonnyi molekulyarnyi spektral’nyi analiz. Teoreticheskie osnovy (Standardless Molecular Spectral Analysis: Theoretical Fundamentals), Moscow: Editorial URSS, 2002.

    Google Scholar 

  7. Gribov, L.A., Elementy kvantovoi teorii stroeniya i svoistv molekul (Elements of the QuantumTheory of the Structure and Properties of Molecules), Dolgoprudnyi: Intellekt, 2010.

    Google Scholar 

  8. Gribov, L.A., Baranov, V.I., and Zelentsov, D.Yu., Elektronno-kolebatel’nye spektry mnogoatomnykh molekul. Teoriya i metody rascheta (Vibronic Spectra of Polyatomic Molecules: Theory and Calculation Methods), Moscow: Nauka, 1997.

    Google Scholar 

  9. Gribov, L.A., Kolebaniya molekul (Molecular Vibrations), Moscow: LIBROKOM, 2009.

    Google Scholar 

  10. Frish, S.E., Opticheskie spektry atomov (Optical Spectra of Atoms), Moscow: Izd. Fiz. Mat. Lit., 1963.

    Google Scholar 

  11. Gribov, L.A., Dementiev, V.A., and Todorovsky, A.T., J. Mol. Struct., 1978, vol. 50, p. 389.

    Article  CAS  Google Scholar 

  12. Schmidt, M.W., Baldridge, K.K., Boatz, J.A., Elbert, S.T., Gordon, M.S., Jensen, J.H., Koseki, S., Matsunaga, N., Nguyen, K.A., Su, S.J., and Windus, T.L., together with Dupuis, M. and Montgomery, J.A., J. Comput. Chem., 1993, vol. 14, p. 13471.

    Article  Google Scholar 

  13. Frisch, M.J., Trucks, G.W., Schlegel, H.B., Scuseria, G.E., Robb, M.A., Cheeseman, J.R., Scalmani, G., Barone, V., Mennucci, B., Petersson, G.A., Nakatsuji, H., Caricato, M., Li, X., Hratchian, H.P., Izmaylov, A.F., Bloino, J., Zheng, G., Sonnenberg, J.L., Hada, M., Ehara, M., Toyota, K., Fukuda, R., Hasegawa, J., Ishida, M., Nakajima, T., Honda, Y., Kitao, O., Nakai, H., Vreven, T., Montgomery, Jr.J.A., Peralta, J.E., Ogliaro, F., Bearpark, M., Heyd, J.J., Brothers, E., Kudin, K.N., Staroverov, V.N., Kobayashi, R., Normand, J., Raghavachari, K., Rendell, A., Burant, J.C., Iyengar, S.S., Tomasi, J., Cossi, M., Rega, N., Millam, N.J., Klene, M., Knox, J.E., Cross, J.B., Bakken, V., Adamo, C., Jaramillo, J., Gomperts, R., Stratmann, R.E., Yazyev, O., Austin, A.J., Cammi, R., Pomelli, C., Ochterski, J.W., Martin, R.L., Morokuma, K., Zakrzewski, V.G., Voth, G.A., Salvador, P., Dannenberg, J.J., Dapprich, S., Daniels, A.D., Farkas, Cioslowski, J., and Fox, D.J., Gaussian 09, Wallingford, CT: Gaussian, 2009.

    Google Scholar 

  14. Gribov, L.A., Baranov, V.I., and Poteshnyi, D.I., J. Anal. Chem., 2011, vol. 66, no. 2, p. 112.

    Article  CAS  Google Scholar 

  15. Gantmakher, F.R., Teoriya matrits (Matrix Theory), Moscow: Nauka, 1967.

    Google Scholar 

  16. Bohr, N., Izbrannye trudy (Selected Articles), Moscow: Nauka, 1971, vol. 2.

    Google Scholar 

  17. Gribov, L.A and Dement’ev, V.A., Metody i algoritmy vychislenii v teorii kolebatel’nykh spektrov molekul (Methods and Algorithms in the Theory of Molecular Vibration Spectra), Moscow: Nauka, 1981.

    Google Scholar 

  18. Gribov, L.A, Dement’ev, V.A., and Todorovskii, A.T., Interpretirovannye kolebatel’nye spektry alkanov, alkenov i proizvodnykh benzola (Assigned Vibrational Spectra of Alkanes, Alkenes, and Benzene Derivatives), Moscow: Nauka, 1986.

    Google Scholar 

  19. Gribov, L.A, Dement’ev, V.A., and Novoselova, O.V., Interpretirovannye kolebatel’nye spektry uglevodorodov s izolirovannymi i sopryazhennymi kratnymi svyazyami (Assigned Vibrational Spectra of Hydrocarbons with Isolated and Conjugated Multiple Bonds), Moscow: Nauka, 1987.

    Google Scholar 

  20. Elyashberg, M.E., Karasev, Yu.Z., Dement’ev, V.A., and Gribov, L.A., Interpretirovannye kolebatel’nye spektry uglevodorodov-proizvodnykh tsiklogeksana i tsiklopentana (Assigned Vibrational Spectra of the Derivatives of Cyclohexane and Cyclopentane), Moscow: Nauka, 1988.

    Google Scholar 

  21. Gribov, L.A. and Dement’ev, V.A., J. Appl. Spectr., 2012, vol. 79, in press.

  22. Pavlyuchko, A.I., Vasilyev, E.V., and Gribov, L.A., J. Appl. Spectr., 2011, vol. 78, p. 782.

    Article  Google Scholar 

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Original Russian Text © L.A. Gribov, V.A. Dement’ev, 2012, published in Zhurnal Analiticheskoi Khimii, 2012, Vol. 67, No. 5, pp. 469–478.

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Gribov, L.A., Dement’ev, V.A. From theory of spectra to standardless analysis of molecular objects. J Anal Chem 67, 414–422 (2012). https://doi.org/10.1134/S1061934812050073

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