Ukrainian Journal of Physical Optics


2027 Volume 28, Issue 1


ISSN 1816-2002 (Online), ISSN 1609-1833 (Print)

OSCILLATORY REGULARITY IN THE ENERGY SPECTRUM OF TRAPS IN ORDERED MEDIA. II. DISCUSSION OF THE MODEL (CRITICAL REVIEW AND THEORETICAL PERSPECTIVE)

A. Gumenyuk and S. Kutovyy


ABSTRACT

This review describes the study of several materials of different types using the improved fractional thermoluminescence method. It is shown that the activation energies of traps exhibit oscillatory regularities, E = ћωTL(n+1/2), in which most values of ωTL coincide with the frequencies of the Raman spectrum lines. Part I of the review describes the applied thermoluminescence (TL) methods and presents experimental results. We formulated the polaron trap model. Part II describes the TL mechanisms corresponding to the proposed model in different material types studied. The reasons for activation energies that are integer or half-integer multiples of ћωTL are discussed. The concept of the frequency factor was clarified, and its influence on TL processes was described

Keywords: thermoluminescence, Raman scattering, polaron, oscillatory regularity

UDC: 535.377; 535.375

    1. Gumenyuk, A., & Kutovyy, S. (2027). Oscillatory regularity in the energy spectrum of traps in ordered media. I. Experimental methods and results (review). Ukrainian Journal of Physical Optics, 28(1), 01001-010026.
    2. McKeever, S. W. S. (1985). Thermoluminescence of solids. Cambridge University Press.
      doi:10.1017/CBO9780511564994
    3. Henderson, B., & Hughes, A. E. (Eds.). (1976). Defects and their structure in nonmetallic solids. Springer.
      doi:10.1007/978-1-4684-2802-5
    4. Fowler, W. B. (1968). Physics of color centers. Academic Press.
    5. Horton, G. K., & Maradudin, A. A. (Eds.). (1974). Dynamical properties of solids. Elsevier.
    6. Harding, J. H. (1980). Vibrational modes of the Vk-centres in alkali halides. Journal of Physics C: Solid State Physics, 13(18), 3505-3510.
      doi:10.1088/0022-3719/13/18/019
    7. Goovaerts, E., & Schoemaker, D. (1978). Inelastic light scattering of the VK centers in the alkali halides. Physica Status Solidi (b), 88(2), 615-621.
      doi:10.1002/pssb.2220880227
    8. Aboltin, D. E., Grabovskis, V. J., Kangro, A. R., Lushchik, Ch. B., O'Konnel-Bronin, A. A., Vitol, I. K., & Zirap, V. E. (1978). Thermally stimulated and tunneling luminescence and Frenkel defect recombination in KCl and KBr at 4.2 to 77 K. Physica Status Solidi (a), 47(2), 667-675.
      doi:10.1002/pssa.2210470239
    9. Lushchik, Ch., Lushchik, A., & Vasil'chenko, E. (1981). Defects in insulating crystals. Zinatne; Springer-Verlag.
    10. Schrey, P., Batzer, R., & Peisl, H. (1978). Release of stored energy of X-irradiated KCl and CsBr. Physica Status Solidi (b), 85(2), 553-559.
      doi:10.1002/pssb.2220850218
    11. Ausin, V., & Alvarez Rivas, J. L. (1974). Thermoluminescence and F-centre thermal annealing of heavily irradiated KCl and NaCl crystals. Journal of Physics C: Solid State Physics, 7(13), 2255-2262.
      doi:10.1088/0022-3719/7/13/005
    12. de Castro, M. J., & Alvarez Rivas, J. L. (1980). Thermoluminescent processes in NaCl irradiated at 80 K. Journal of Physics C: Solid State Physics, 13(2), 257-266.
      doi:10.1088/0022-3719/13/2/013
    13. Alvarez Rivas, J. L. (1980). Thermoluminescence and lattice defects in alkali halides. Journal de Physique Colloques, 41(C6), 353-358.
      doi:10.1051/jphyscol:1980691
    14. Sagastibelza, F., & Alvarez Rivas, J. L. (1981). Thermoluminescence in LiF (TLD-100) and LiF crystals irradiated at room temperature. Journal of Physics C: Solid State Physics, 14(13), 1873-1882.
      doi:10.1088/0022-3719/14/13/012
    15. Itoh, N., Stoneham, A. M., & Harker, A. H. (1977). The initial protection of defects in alkali halides: F and H centre production by non-radiative decay of the self-trapped exciton. Journal of Physics C: Solid State Physics, 10(21), 4197-4209.
      doi:10.1088/0022-3719/10/21/010
    16. Gumenyuk, A. F., & Kutovyy, S. Yu. (2005). Thermoluminescence studies of undoped LiF crystals. II. The oscillator-like regularity in trap activation energies. Ukrainian Journal of Physics, 50(10), 1125-1133.
    17. Mayhugh, M. R. (1970). Color centers and the thermoluminescence mechanism in LiF. Journal of Applied Physics, 41(12), 4776-4782.
      doi:10.1063/1.1658540
    18. Cooke, D. W. (1978). The thermoluminescence mechanism in LiF (TLD-100): Extension of the Mayhugh-Christy model. Journal of Applied Physics, 49(7), 4206-4215.
      doi:10.1063/1.325333
    19. Jain, V. K. (1986). Thermoluminescence mechanism in LiF (TLD-100) from 90 to 300 K. Journal of Physics D: Applied Physics, 19(9), 1791-1807.
      doi:10.1088/0022-3727/19/9/024
    20. Pope, M., & Swenberg, C. E. (1999). Electronic processes in organic crystals and polymers (2nd ed.). Oxford University Press.
      doi:10.1093/oso/9780195129632.001.0001
    21. Michl, J. (1992). Solution photophysics and electronic structure of polysilanes. Synthetic Metals, 50(1-3), 367-386.
      doi:10.1016/0379-6779(92)90190-T
    22. Kuzmany, H., Rabolt, J. F., Farmer, B. L., & Miller, R. D. (1986). Studies of chain conformational kinetics in poly(di-n-alkylsilanes) by spectroscopic methods. II. Conformation and packing of poly(di-n-hexylsilane). The Journal of Chemical Physics, 85(12), 7413-7422.
      doi:10.1063/1.451330
    23. Bukalov, S. S., Leites, L. A., Magdanurov, G. I., & West, R. (2003). Excitation dependence of Raman spectra of various polydialkylsilane conformations and phase transitions in poly(di-n-alkylsilanes). Journal of Organometallic Chemistry, 685(1-2), 51-59.
      doi:10.1016/S0022-328X(03)00263-8
    24. Michl, J., & West, R. (2000). Conformations of linear chains: Systematics and suggestions for nomenclature. Accounts of Chemical Research, 33(12), 821-823.
      doi:10.1021/ar0001057
    25. Kepler, R. G., & Soos, Z. G. (1991). Electronic excitations of poly(methylphenylsilane) films. Physical Review B, 43(15), 12530-12540.
      doi:10.1103/PhysRevB.43.12530
    26. Nespůrek, S., Sworakowski, J., Kadashchuk, A., & Toman, P. (2003). Polysilylenes: Charge carrier transport and photogeneration. Journal of Organometallic Chemistry, 685(1-2), 269-279.
      doi:10.1016/S0022-328X(03)00648-X
    27. Němec, H., Kratochvílová, I., Kužel, P., Šebera, J., Kochalska, A., Nozaki, J., & Nešpůrek, S. (2011). Charge carrier mobility in poly[methyl(phenyl)silylene] studied by time-resolved terahertz spectroscopy and molecular modelling. Physical Chemistry Chemical Physics, 13(7), 2850-2856.
      doi:10.1039/C0CP00774A
    28. Toman, P., Nespůrek, S., Jang, J. W., & Lee, C. E. (2002). Conformation changes of polysilanes during the polaron formation. Current Applied Physics, 2(4), 327-330.
      doi:10.1016/S1567-1739(02)00119-0
    29. Chang, J.-F., Sirringhaus, H., Giles, M., Heeney, M., & McCulloch, I. (2007). Relative importance of polaron activation and disorder on charge transport in high-mobility conjugated polymer field-effect transistors. Physical Review B, 76, 205204.
      doi:10.1103/PhysRevB.76.205204
    30. Kepler, R. G., Zeigler, J. M., Harrah, L. A., & Kurtz, S. R. (1987). Photocarrier generation and transport in σ-bonded polysilanes. Physical Review B, 35(6), 2818-2822.
      doi:10.1103/PhysRevB.35.2818
    31. Gumenyuk, A. F., & Kerita, O. A. (2017). Model of 1D charge carrier traps and polyconformism of silicon backbone segments in the polymer poly(di-n-hexylsilane). Molecular Crystals and Liquid Crystals, 642(1), 47-62.
      doi:10.1080/15421406.2016.1254515
    32. Gumenjuk, A., Ostapenko, N., Ostapenko, Yu., Kerita, O., Suto, S., & Watanabe, A. (2012). Oscillatory regularity of charge carrier traps energy spectra in silicon organic polymer poly(di-n-hexylsilane). Low Temperature Physics, 38(8), 932-937.
      doi:10.1063/1.4746796
    33. Miller, R. D., & Michl, J. (1989). Polysilane high polymers. Chemical Reviews, 89(6), 1359-1410
      doi:10.1021/cr00096a006
    34. West, R. (2003). A new theory for rotational isomeric states: Polysilanes lead the way. Journal of Organometallic Chemistry, 685(1-2), 6-8.
      doi:10.1016/S0022-328X(03)00645-4
    35. Fogarty, H. A., Ottosson, C. H., & Michl, J. (2000). The five favored backbone conformations of n-Si₄Et₁₀: Cisoid, gauche, ortho, deviant, and transoid. Journal of Molecular Structure: THEOCHEM, 506(1-3), 243-255.
      doi:10.1016/S0166-1280(00)00416-4
    36. Chunwachirasiri, W., West, R., & Winokur, M. J. (2000). Polymorphism, structure, and chromism in poly(di-n-octylsilane) and poly(di-n-decylsilane). Macromolecules, 33(26), 9720-9731.
      doi:10.1021/ma9919716
    37. Karikari, E. K., Greso, A. J., Farmer, B. L., Miller, R. D., & Rabolt, J. F. (1993). Studies of the conformation and packing of polysilanes. Macromolecules, 26(15), 3937-3945.
      doi:10.1021/ma00067a032
    38. Patnaik, S. S., & Farmer, B. L. (1992). X-ray structure determination of poly(di-n-hexylsilane). Polymer, 33(21), 4443-4450.
      doi:10.1016/0032-3861(92)90398-G
    39. Winokur, M. J., & West, R. (2003). X-ray diffraction and molecular modeling studies of poly(di-n-alkylsilanes): The near planar type phases of poly(di-n-butylsilane) and poly(di-n-hexylsilane). Macromolecules, 36(19), 7338-7347.
      doi:10.1021/ma026017e
    40. Ottosson, C.-H., & Michl, J. (2000). Conformers of n-Si₆Me₁₄: Ab initio, molecular mechanics, and additive increment methods. The Journal of Physical Chemistry A, 104(15), 3367-3380.
      doi:10.1021/jp994054a
    41. Ungar, G. (1993). Thermotropic hexagonal phases in polymers: Common features and classification. Polymer, 34(10), 2050-2059.
      doi:10.1016/0032-3861(93)90730-X
    42. Leites, L. A., Bukalov, S. S., Yadritzeva, T. S., Mokhov, M. K., Antipova, B. A., Frunze, T. M., & Dement'ev, V. V. (1992). Vibrational and electronic spectra and the structure of crystalline poly(dimethylsilane). Macromolecules, 25(11), 2991-2993.
      doi:10.1021/ma00037a032
    43. Kyotani, H., Shimomura, M., Miyazaki, M., & Ueno, K. (1995). Higher-order structure and thermal transition behaviour of poly(di-n-hexylsilane). Polymer, 36(5), 915-919.
      doi:10.1016/0032-3861(95)93589-E
    44. Bukalov, S. S., Leites, L. A., & West, R. (2001). Thermochromism of poly(di-n-hexylsilane) in solution revisited. Macromolecules, 34(17), 6003-6007.
      doi:10.1021/ma0101714
    45. Bukalov, S. S., Teplitsky, M. V., Gordeev, Yu. Yu., Leites, L. A., & West, R. (2003). Variable-temperature UV and Raman study of complicated thermochromic phase transition of order-disorder type in poly(di-n-decylsilane) [(n-C₁₀H₂₁)₂Si]n. Russian Chemical Bulletin, 52(5), 1066-1077.
      doi:10.1023/A:1024788703329
    46. Bukalov, S. S., Zubavichus, Y. V., Leites, L. A., Koe, J. R., & West, R. (2009). UV, Raman and XRD study of polymorphism of poly(methyl-n-propylsilane). Polymer, 50(20), 4845-4851.
      doi:10.1016/j.polymer.2009.08.020
    47. Ostapenko, N., Kozlova, N., Suto, S., & Watanabe, A. (2006). Spectroscopy of nanosized composites consisting of silicon-organic polymers in nanoporous silicas. Low Temperature Physics, 32(11), 1035-1041.
      doi:10.1063/1.2389010
    48. Dementjev, A., Gulbinas, V., Valkunas, L., Ostapenko, N., Suto, S., & Watanabe, A. (2007). Coexistence of different conformer forms in nanosize poly(di-n-hexylsilane). The Journal of Physical Chemistry C, 111(12), 4717-4721.
      doi:10.1021/jp0661239
    49. Ostapenko, N. I., & Sugakov, V. I. (2026). Features of molecular vibrational effects on polymer thermoluminescence. Ukrainian Journal of Physics, 71(4), 392-406.
      doi:10.15407/ujpe71.4.392
    50. Gorban, I. S., Gumenyuk, A. F., Kutovyi, S. Yu., & Degoda, V. Ya. (1993). Regularities in the energies of delocalization of charge carriers from traps in YAG. Optics and Spectroscopy, 75(1), 47-50.
    51. Randall, J. T., & Wilkins, M. H. F. (1945). Phosphorescence and electron traps. I. The study of trap distributions. Proceedings of the Royal Society of London. Series A, Mathematical and Physical Sciences, 184(999), 365-389.
      doi:10.1098/rspa.1945.0024
    52. Gumenyuk, A. F., & Kutovyi, S. Yu. (2003). Oscillator rule of the trap activation energies in NaCl crystals. Central European Journal of Physics, 1(2), 307-331.
      doi:10.2478/BF02476299

    В огляді описано дослідження ряду матеріалів різних типів удосконаленим методом фракційної термолюмінесценції. Показано, що енергії активації пасток утворюють коливальні закономірності E=ћωTL(n+1/2), в яких більшість значень ωTL збігаються з частотами ліній спектру комбінаційного розсіювання. У частині I огляду описано застосовані методи термолюмінесценції (TЛ), представлено експери¬ментальні результати. Було сформульовано поляронну модель пасток. У частині II огляду описано механізми TЛ, що відповідають запропонованій моделі в досліджуваних матеріалах різних типів. Обговорюються причини існування енергій активації, кратних цілим та напівцілим значенням ћωTL. Описано вплив частотного фактора на процеси TЛ.

    Ключові слова: термолюмінесценція, комбінаційне розсіювання світла, полярон, коливальна регулярність


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