Skip to main content
Log in

The feasibility of standardless molecular spectral analysis of mixtures under conditions of photochemical transformations of molecules

  • General Aspects of High Energy Chemistry
  • Published:
High Energy Chemistry Aims and scope Submit manuscript

Abstract

The problem of standardless molecular spectral analysis of multicomponent mixtures with allowance for photochemical reactions of their molecules has been formulated and its formal procedure has been developed. The case when the time dependence of the spectrum of the mixture is determined only by the change in the concentrations of the components with time and the spectra of the individual components remain constant has been considered. The corresponding requirements for the physicochemical properties of the molecules have been identified and shown to be met for quite a wide range of polyatomic molecules and their reactions. The exception is molecules with metastable excited electronic states. A large set of model calculations relevant to the actual molecular entities and their experimentally observed photochemical transformations have shown the practicability of the approach. The solution of the problem converges to exact values and is resistant to uncertainty in setting the initial spectral data due to the peculiarities of the experimental procedure, the choice of theoretical models, and other factors. The resulting theoretical values of the concentrations meet the least squares test and their errors are measured by the variance per unit weight. The variance makes it possible to evaluate the noise level of the spectral data used in the analysis and reliability of the result and can serve as a criterion for the correctness of the initial hypotheses about the qualitative composition of a multicomponent mixture.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Maeder, M., Anal. Chem., 1987, vol. 59, p.527.

    Article  CAS  Google Scholar 

  2. Windig, W. and Guilment, J., Anal. Chem., 1991, vol. 63, p.1425.

    Article  CAS  Google Scholar 

  3. Tauler, R., Chemometr. Intell. Lab., 1995, vol. 30, p.133.

    Article  CAS  Google Scholar 

  4. Manne, R Chemometr. Intell. Lab., 1995, vol. 27, p. 89.

    Article  CAS  Google Scholar 

  5. Malinowski, E.R., J. Chemometr., 1996, vol. 10, p. 273.

    Article  CAS  Google Scholar 

  6. Gargallo, R., Tauler, R., Cuesta-Sanchez, F., and Massart, D.L., TrAC Trends Anal. Chem., 1996, vol. 15, p.279.

    CAS  Google Scholar 

  7. Mason, C., Maeder, M., and Whitson, A., Anal. Chem., 2001, vol. 73, p.1587.

    Article  CAS  Google Scholar 

  8. Hyvärinen, A., Karhunen, J., and Oja, E., Independent Component Analysis, New York: Wiley, 2001.

    Book  Google Scholar 

  9. Cichocki, A. and Amari, S.-I., Adaptive Blind Signal and Image Processing: Learning Algorithms and Applications, New York: Wiley, 2002.

    Book  Google Scholar 

  10. Cornell, J.A., Experiments with Mixtures: Designs, Models, and the Analysis of Mixture Data, New York: Wiley, 2002.

    Book  Google Scholar 

  11. Diewok, J., de Juan, A., Maeder, M., Tauler, R., and Lendl, B., Anal. Chem., 2003, vol. 75, p.641.

    Article  CAS  Google Scholar 

  12. Stogbauer, H., Kraskov, A., Astakhov, S.A., and Grassberger, P., Phys. Rev. E: Stat. Phys., Plasmas, Fluids, Relat. Interdiscipl. Top., 2004, vol. 70, p. 066123.

    Article  Google Scholar 

  13. Astakhov, S.A., Stogbauer, H., Kraskov, A., and Grassberger, P., Anal. Chem., 2006, vol. 78, p.1620.

    Article  CAS  Google Scholar 

  14. Rodionova, O.Ye. and Pomerantsev, A.L., Russ. Chem. Rev., 2006, vol. 75, no. 4, p.271.

    Article  CAS  Google Scholar 

  15. Cichocki, A., Zdunek, R., Phan, A.H., and Amari, S.-I., Nonnegative Matrix And Tensor Factorizations: Applications to Exploratory Multi-way Data Analysis and Blind Source Separation, New York: Wiley, 2009.

    Book  Google Scholar 

  16. Monakhova, Yu.B., Astakhov, S.A., and Mushtakova, S.P., J. Anal. Chem., 2009, vol. 64, no. 5, p. 479.

    Article  CAS  Google Scholar 

  17. Handbook of Blind Source Separation. Independent Component Analysis and Applications, Comon, P. and Jutten, C., Eds., Oxford: Academic, 2010.

  18. Monakhova, Yu.B., Kolesnikova, S.S., Mushtakova, S.P., and Astakhov, S.A., Anal. Bioanal. Chem., 2010, vol. 397, p.1297.

    Article  CAS  Google Scholar 

  19. Monakhova, Yu.B., Astakhov, S.A., Kraskov, A.V., and Mushtakova, S.P., Chemometr. Intell. Lab., 2010, vol. 103, p.108.

    Article  CAS  Google Scholar 

  20. Monakhova, Yu.B., Mushtakova, S.P., Kolesnikova, S.S., and Gribov, L.A., J. Anal. Chem., 2011, vol. 66, no. 1, p. 53.

    Article  CAS  Google Scholar 

  21. Monakhova, Yu.B., Astakhov, S.A., Mushtakova, S.P., and Gribov, L.A., J. Anal. Chem., 2011, vol. 66, no. 4, p. 351.

    Article  CAS  Google Scholar 

  22. Monakhova, Yu.B., Kuznetsova, I.V., and Mushtakova, S.P., J. Anal. Chem., 2011, vol. 66, no. 6, p. 565.

    Article  CAS  Google Scholar 

  23. Moreau, E. and Adali, T., Blind Identification and Separation of Complex-Valued Signals, New York: Wiley, 2013.

    Book  Google Scholar 

  24. Yu, X., Hu, D., and Xu, J., Blind Source Separation: Theory and Applications, New York: Wiley, 2014.

    Book  Google Scholar 

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

    Google Scholar 

  26. Gribov, L.A., Elyashberg, М.Е., and Karasev, Yu.Z., Anal. Chim. Acta, 1995, vol. 316, p.217.

    Article  CAS  Google Scholar 

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

    Google Scholar 

  28. Tikhonov, A.N. and Arsenin, V.Ya., Metody resheniya nekorrektnykh zadach (Methods for Solving Ill-Posed Problems), Moscow: Nauka, 1979.

    Google Scholar 

  29. Tikhonov, A.N., Goncharskii, A.V., Stepanov, V.V., and Yagola, A.G., Regulyariziruyushchie algoritmy i apriornaya informatsiya (Regularizing Algorithms and a priori Information), Moscow: Nauka, 1983.

    Google Scholar 

  30. Terebizh, V.Yu., Vvedenie v statisticheskuyu teoriyu obratnykh zadach (Introduction to Statistical Theory of Inverse Problems), Moscow: Fizmatlit, 2005.

    Google Scholar 

  31. Kabanikhin, S.I., Obratnye i nekorrektnye zadachi (Inverse and Ill-Posed Problems), Novosibirsk: Sibirskoe Nauchnoe. Izd., 2008.

    Google Scholar 

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

    Google Scholar 

  33. Baranov, V.I. and Gribov, L.A., J. Anal. Chem., 1999, vol. 54, no. 4, p. 307.

    CAS  Google Scholar 

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

    Article  CAS  Google Scholar 

  35. Elyashberg, M.E., Gribov, L.A., Karasev, Yu.Z., and Martirosian, E.R., Anal. Chim. Acta, 1997, vol. 353, p.105.

    Article  CAS  Google Scholar 

  36. Gribov, L.A., Sidelov, D.I., and Maslov, I.V., J. Anal. Chem., 1998, vol. 53, no. 7, p. 621.

    CAS  Google Scholar 

  37. Baranov, V.I., Gribov, L.A., and Dzhenzher, V.O., Zh. Strukt. Khim., 1996, vol. 37, no. 3, p.419.

    CAS  Google Scholar 

  38. Baranov, V.I., Zavalii, M.V., and Gribov, L.A., J. Appl. Spectrosc., 2003, vol. 70, no. 5, p. 713.

    Article  CAS  Google Scholar 

  39. Baranov, V.I., Zavalii, M.V., and Gribov, L.A., J. Appl. Spectrosc., 2004, vol. 71, no. 3, p. 320.

    Article  CAS  Google Scholar 

  40. Gribov, L.A., Baranov, V.I., and Zavalii, M.V., Dokl. Physics, 2004, vol. 49, no. 8, p.447.

    Article  CAS  Google Scholar 

  41. Gribov, L.A., Dement’ev, V.A., Zavalii, M.V., and Baranov, V.I., J. Struct. Chem., 2005, vol. 46, no. 2, p. 295.

    Article  CAS  Google Scholar 

  42. Gribov, L.A. and Baranov, V.I., J. Anal. Chem., 2009, vol. 64, no. 5, p. 445.

    Article  CAS  Google Scholar 

  43. Nemodruk, A.A. and Bezrogova, E.V., Fotokhimicheskie reaktsii v analiticheskoi khimii (Photochemical Reactions in Analytical Chemistry), Moscow: Khimiya, 1972.

    Google Scholar 

  44. Dodin, E.I., Fotokhimicheskii analiz (Photochemical Analysis), Moscow: Metallurgiya, 1979.

    Google Scholar 

  45. Gribov, L.A., Baranov, V.I., and Novosadov, B.K., Metody rascheta elektronno-kolebatel’nykh spektrov mnogoatomnykh molekul (Methods for Calculation of Vibronic Spectra of Polyatomic Molecules), Moscow: Nauka, 1994.

    Google Scholar 

  46. 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 

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

    Google Scholar 

  48. Gribov, L.A. and Baranov, V.I., Teoriya i metody rascheta molekulyarnykh protsessov: spektry, khimicheskie prevrashcheniya i molekulyarnaya logika (Theory and Methods of Calculation of Molecular Processes: Spectra, Chemical Transformations, and Molecular Logic), Moscow: KomKniga, 2006.

    Google Scholar 

  49. Astakhov, S.A., Baranov, V.I., and Gribov, L.A., Theory and Methods of Computational Vibronic Spectroscopy, Hauppauge, NY: Nova Science, 2008.

    Google Scholar 

  50. Baranov, V.I., Gribov, L.A., Dridger, V.E., Iskhakov, M.Kh., and Mikhailov, I.V., High Energy Chem., 2009, vol. 43, no. 5, p. 362.

    Article  CAS  Google Scholar 

  51. Baranov, V.I., Gribov, L.A., Dridger, V.E., Iskhakov, M.Kh., and Mikhailov, I.V., High Energy Chem., 2009, vol. 43, no. 6, p. 489.

    Article  CAS  Google Scholar 

  52. Baranov, V.I., Gribov, L.A., Dridger, V.E., and Mikhailov, I.V., High Energy Chem., 2010, vol. 44, no. 3, p.181.

    Article  CAS  Google Scholar 

  53. Baranov, V.I., Gribov, L.A., Iskhakov, M.Kh., and Mikhailov, I.V., High Energy Chem., 2010, vol. 44, no. 4, p.277.

    Article  CAS  Google Scholar 

  54. Gribov, L.A. and Baranov, V.I., High Energy Chem., 2010, vol. 44, no. 6, p. 462.

    Article  CAS  Google Scholar 

  55. Gribov, L.A., J. Appl. Spectrosc., 2014, vol. 81, no. 2, p. 288.

    Article  CAS  Google Scholar 

  56. Gantmakher, F.R., Teoriya matrits (Matrix Theory), Moscow: Nauka, 1966, 2nd ed.

    Google Scholar 

  57. www.mathworks.com.

  58. Belousov, B.P., Sbornik referatov po radiatsionnoi meditsine za 1958 g. (Collection of Abstracts on Radiation Medicine’1958), Lebedinskii, A.V., Ed., Moscow: Medgiz, 1959, p.145.

  59. Zhabotinskii, A.M., Kontsentratsionnye avtokolebaniya (Concentration Oscillations), Moscow: Nauka, 1974.

    Google Scholar 

  60. Zhabotinskii, A.M., Fizicheskaya khimiya. Sovremennye problemy (Physical Chemistry: Current Topics), Kolotyrkin, Ya.M., Ed., Moscow: Khimiya, 1987, p. 6.

  61. Gurel, O. and Gurel, D., Types of Oscillations in Chemical Reactions, Heidelberg: Springer, 1983.

    Book  Google Scholar 

  62. Gribov, L.A. and Baranov, V.I., J. Appl. Spectrosc., 2005, vol. 72, no. 3, p. 344.

    Article  CAS  Google Scholar 

  63. Gribov, L.A., Mikhailov, I.V., and Prokof’eva, N.I., J. Anal. Chem., 2015, vol. 70, no. 9, p. 1062.

    Article  CAS  Google Scholar 

  64. Astakhov, S.A., Baranov, V.I., and Gribov, L.A., J. Anal. Chem., 2001, vol. 56, no. 7, p. 625.

    Article  CAS  Google Scholar 

  65. Astakhov, S.A., Baranov, V.I., and Gribov, L.A., J. Mol. Struct., 2003, vol. 655, no. 1, pp. 97.

    Article  CAS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to L. A. Gribov.

Additional information

Original Russian Text © V.I. Baranov, L.A. Gribov, I.V. Mikhailov, 2016, published in Khimiya Vysokikh Energii, 2016, Vol. 50, No. 5, pp. 335—344.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Baranov, V.I., Gribov, L.A. & Mikhailov, I.V. The feasibility of standardless molecular spectral analysis of mixtures under conditions of photochemical transformations of molecules. High Energy Chem 50, 317–326 (2016). https://doi.org/10.1134/S0018143916050052

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S0018143916050052

Keywords

Navigation