Geodesic
Spectroscopic investigation of structure and dynamics of molecular systems and mathematical treatment of experimental data.
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 2, pp. 116-128 
M. Kh. Salahov; D. I. Kamalova; S. S. Kharincev. Spectroscopic investigation of structure and dynamics of molecular systems and mathematical treatment of experimental data.. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 147 (2005) no. 2, pp. 116-128. http://geodesic.mathdoc.fr/item/UZKU_2005_147_2_a8/
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     author = {M. Kh. Salahov and D. I. Kamalova and S. S. Kharincev},
     title = {Spectroscopic investigation of structure and dynamics of molecular systems and mathematical treatment of experimental data.},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {116--128},
     year = {2005},
     volume = {147},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2005_147_2_a8/}
}
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%A S. S. Kharincev
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Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

Local dynamics of glassy polymers was investigated using proposed conformational probes method which is based on introducing small molecules (probes) in a polymer and following conformational dynamics in the probe molecules in different temperatures. The method allows one to estimate the effective sizes of free volume elements in glassy polymers. The decomposition of analytical absorption bands into elementary components was used when treating and interpreting composite molecular spectra. An approach based on the using of the continuous wavelet transform is considered. Within the framework of the approach we develop a numerical differentiation algorithm with continuous wavelets for improving resolution of composite molecular spectra.

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[2] Kamalova D. I., Petrova S. A., Remizov A. B., “Conformational probes in glassy polymers: free volume and relaxation transitions (FT-IR spectroscopy)”, Proc. of SPIE, 5507 (2004), 327–332 | DOI

[3] Remizov A. B., Kamalova D. I., Stolov A. A., “Fure-IK spektroskopicheskoe izuchenie svobodnogo ob'ema i podvizhnosti polimernykh tsepei vysokopronitsaemykh stekloobraznykh polimerov metodom konformatsionnykh zondov”, Zh. fiz. khim., 79:1 (2005), 76–80

[4] Kamalova D. I., Remizov A. B., Kolyadko I. M., Skochilov R. A., “Raspredelenie svobodnogo ob'ema i lokalnaya dinamika stekloobraznykh poliimidov”, Struktura i dinamika molekulyarnykh sistem, XII, Izd-vo Kazan. un-ta, Kazan, 2005

[5] Salakhov M. Kh., “Treatment and interpretation of experimental data in applied spectroscopy”, JQSRT, 42 (1989), 635 | DOI

[6] Salakhov M. Kh., Kharintsev S. S., Matematicheskaya obrabotka i interpretatsiya spektroskopicheskoi informatsii, Izd-vo Kazan. un-ta, Kazan, 2001, 238 pp.

[7] Kharintsev S. S., Nigmatullin R. R., Salakhov M. Kh., “Solving inverse problems in applied spectroscopy with random fractal noise”, JQSRT, 67:3 (2000), 239–252 | DOI

[8] Kharintsev S. S., Kamalova D. I., Salakhov M. Kh., “Resolution enhancement of composite spectra with fractal noise in derivative spectroscopy”, Appl. Spectr., 54:5 (2000), 164–176 | DOI

[9] Kharintsev S. S., Salakhov M. Kh., SpectroChimica Acta Part A: Mol.and Biomol. Spectroscopy, 60 (2004), 2125–2133, A simple method to extract spectral parameters using fractional derivative spectrometry | DOI

[10] Kharintsev S. S., Kamalova D. I., Salakhov M. Kh., Sevastianov A. A., “Resolution enhancement of composite spectra using wavelet-based derivative spectrometry”, SpectroChimica Acta Part A: Mol. and Biomol. Spectroscopy, 61 (2005), 149–156 | DOI