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HomeSolid State PhenomenaSolid State Phenomena Vol. 239Modgil-Virk Formulation of Single Activation...

Modgil-Virk Formulation of Single Activation Energy Model of Radiation Damage Annealing in SSNTDs: A Critical Appraisal

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Abstract:

Passage of heavy ions produces radiation-damage trails known as latent tracks in a variety of solid-state nuclear-track detectors (SSNTDs). These tracks are made visible in an optical microscope by a simple process known as chemical etching. It is a well-known fact that latent tracks are radiation damage trails in SSNTDs, which can be annealed by thermal heating. Modgil-Virk formulation of single-activation-energy model of radiation damage annealing was proposed as an empirical approach for explaining the thermal fading of nuclear tracks in SSNTDs. The empirical formulation of this model is based on track annealing data collected from both isothermal and isochronal experiments performed on different types of SSNTDs using a variety of heavy ion beams and fission fragments. The main objective of this empirical model was to resolve some contradictions of variable activation energy derived by using Arrhenius plots to study annealing in mineral SSNTDs. Some equivalent versions of the Modgil-Virk model have been proposed but the concept of single activation energy is vindicated in all empirical formulations. The model always yields a unique value of activation energy independent of the nature of the ion beam used and the degree of annealing. The anisotropy of the mineral SSNTDs is revealed by variation in activation energy along different crystal planes and even with different orientations of the ion beam on the same plane. Some recent experiments are a pointer to the successful exploitation of this model for future cosmic-rays studies using SSNTDs.

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Periodical:

Solid State Phenomena (Volume 239)

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215-242

DOI:

https://doi.org/10.4028/www.scientific.net/SSP.239.215

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Online since:

August 2015

Authors:

Hardev Singh Virk*

Keywords:

Annealing, Heavy Ions, Latent Tracks, Radiation Damage, Single Activation Energy Model, SSNTDs

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[1] R. L. Fleischer, P. B. Price and R. M. Walker, Nuclear Tracks in Solids, University of California Press, Berkeley, (1975).

[2] D. A. Young, Etching of Radiation Damage in Lithium Fluoride, Nature 182 (1958) 375-377.

DOI: 10.1038/182375a0

[3] E. Dartyge, J. P. Duraud, Y. Langevin and M. Maurette, New model of nuclear particle tracks in dielectric minerals, Phys. Rev. B23 (1981) 5213-5229.

DOI: 10.1103/physrevb.23.5213

[4] D. Albrecht, P. Armbruster, R. Sphor, M. Roth, K. Schaupert, and H. Stuhrmann, Investigation of Heavy Ion Produced Defect Structures in Insulators by Small Angle Scattering, Appl. Phys. A37 (1985) 37-46.

DOI: 10.1007/bf00617867

[5] C. Houpert, M. Hervieu, D. Groult, F. Studer, HREM investigation of GeV heavy ion latent tracks in ferrites, Nucl. Inst. and Meth. Phys. Res. B32 (1988) 393-396.

DOI: 10.1016/0168-583x(88)90243-1

[6] L.T. Chadderton, J.P. Biersack and S.L. Koul, Discontinuous Fission Tracks in Crystalline Detectors, Nucl. Tracks and Radiat. Meas. 15 (1988) 31-40.

DOI: 10.1016/1359-0189(88)90097-0

[7] V. Chailley, E. Dooryhe'e, S. Bouffard and E. Balanzat, Proc. of 7th Int. Conf. on Radiation Effects in Insulators, Nagoya, Japan (1993).

[8] T. A. Tombrello, C. R. Wie, N. Itoh and T. Nakayama, Formation of ion damage tracks, Phys. Lett. 100A (1984) 42-44.

DOI: 10.1016/0375-9601(84)90351-7

[9] C.W. White, C.J. McHargue, P.S. Sklad, L.A. Boatner and G.C. Farlow, Ion implantation and annealing of crystalline oxides. Mater. Sci. Rep. 4(2) (1989) 41-146.

DOI: 10.1016/s0920-2307(89)80005-2

[10] S.K. Modgil and H.S. Virk, Annealing of fission fragment tracks in inorganic solids, Nucl. Instrum. Meth. B12 (1985) 212-218.

[11] H.S. Virk, S.K. Modgil, G. Singh and R.K. Bhatia, Annealing characteristics of heavy ion radiation damage in SSNTDs and concept of single activation energy, Nucl. Instrum. Meth. Phys. Res. B32 (1988) 401-404.

DOI: 10.1016/0168-583x(88)90245-5

[12] H.S. Virk, S.K. Modgil and R.K. Bhatia, Activation energy for the annealing of radiation damage in CR-39 : An intrinsic property of detector, Nucl. Tracks Radiat. Meas. 11 (1986) 323-325.

DOI: 10.1016/1359-0189(86)90059-2

[13] R. K. Bhatia and H. S. Virk, Annealing study of heavy ion tracks in CR-39, Ind. J. Pure Appl. Phys. 25 (1987) 282-283.

[14] R.C. Singh, R.K. Bhatia and H.S. Virk, Annealing study of heavy ion tracks in Makrofol-N using electrochemical etching technique, lnd. J. Pure and Appl. Phys. 26 (1988) 673-674.

[15] R.K. Bhatia and H.S. Virk, Heavy ion radiation damage annealing models - A new interpretation, Radiat. Eff. 107 (1989) 167.

DOI: 10.1080/00337578908228561

[16] G. Singh and H.S. Virk, Track annealing studies in soda-lime glass detector, GSI Scientific Report, 1987, p.240.

[17] A.S. Sandhu, S. Singh and H.S. Virk, Annealing studies of fission tracks in apatite, Ind. J. Pure Appl. Phys. 25 (1987) 97-99.

[18] A. S. Sandhu, S. Singh and H.S. Virk, Annealing of fission fragment tracks in micaceous Minerals, Mineralogical J. (Japan) 13 (1987) 254-259.

DOI: 10.2465/minerj.13.254

[19] A. S. Sandhu, S. Singh and H.S. Virk, Anisotropic etching and annealing studies of fission tracks in quartz, Mineralogical. J. (Japan) 14 (1988) 1-11.

DOI: 10.2465/minerj.14.1

[20] L. Singh, A.S. Sandhu, S. Singh and H.S. Virk, Thermal annealing of heavy ion tracks in muscovite mica, Radiat. Eff. Def. in Solids 108 (1989) 257-266.

DOI: 10.1080/10420158908230314

[21] G. Singh and H.S. Virk, Heavy ion radiation damage annealing in glass detectors, Nucl. Instrum. Meth. Phys. Res. B 44 (1989) 103-106.

[22] A.S. Sandhu, L. Singh, R.C. Ramola, S. Singh and H.S. Virk, Annealing kinetics of heavy ion radiation damage in crystalline minerals, Nucl. Instum. Meth. Phys. Res. B 46 (1990) 122-124.

DOI: 10.1016/0168-583x(90)90681-j

[23] L. Singh, A.S. Sandhu, S. Singh and H.S. Virk, Etching and annealing kinetics of heavy ion tracks in quartz, Nucl. Instrum. Meth. Phys. Res. B 46 (1990) 149-151.

DOI: 10.1016/0168-583x(90)90687-p

[24] A.S. Sandhu, R.C. Ramola, S. Singh and H.S. Virk, Fission track annealing in minerals, Nucl. Tracks Radiat. Meas. 17 (1990) 267-269.

DOI: 10.1016/1359-0189(90)90045-y

[25] A.S. Sandhu, R.C. Ramola, S. Singh and H.S. Virk, Etching and annealing characteristics of fission tracks in garnet, Ind. J. Pure Appl. Phys. 28 (1990) 522-524.

[26] G. Singh and H.S. Virk, Radiation damage annealing models in glass detectors, Radiat. Eff. Def. in Solids 114 (1990) 51-52.

DOI: 10.1080/10420159008213081

[27] G. Singh and H.S. Virk H S, Thermal effects of heavy ion radiation damage in glass track detectors, Radiat. Eff. and Def. in Solids 114 (1990) 219-224.

DOI: 10.1080/10420159008213099

[28] H.S. Virk, Single activation energy model of radiation damage in solid state nuclear track detectors, Curr. Sci. 61 (1991) 386-390.

[29] S. Singh, L. Singh, J. Singh and H.S. Virk, Heavy ion radiation damage annealing in garnet crystal, Nucl. Tracks Radiat. Meas. 19 (1991) 121-126.

DOI: 10.1016/1359-0189(91)90155-b

[30] H.S. Virk, Heavy ion radiation damage annealing in track recording insulators and single activation energy model, Nucl. Instrum. Meth. Phys. Res. B 65 (1992) 456-458.

DOI: 10.1016/0168-583x(92)95085-6

[31] G. Singh and H.S. Virk (1994), Annealing characteristics of nuclear tracks in glass detectors using optical absorption spectroscopy, J. Radioanal. & Nucl. Chem. 180 (1994) 139 - 144.

DOI: 10.1007/bf02039912

[32] H.S. Virk, Single activation energy model of radiation damage in SSNTDs, Radiat. Eff. Def. in Solids 133 (1995) 87-95.

[33] G.S. Randhawa and H.S. Virk, Thermal annealing of latent tracks in soda and BP-1 phosphate glasses, Appl. Radiat. Isot. 48 (1997) 447-451.

DOI: 10.1016/s0969-8043(96)00286-2

[34] R.K. Jain, G.S. Randhawa, S.K. Bose and H.S. Virk, Study of etching and annealing characteristics of 238U ion tracks in Trifol-TN polycarbonate, J. Phys D: Appl. Phys. 31 (1997) 328-333.

DOI: 10.1088/0022-3727/31/3/012

[35] R.K. Jain, G.S. Randhawa, S.K. Bose and H.S. Virk, Etching and annealing kinetics of 238U ion tracks in Makrofol-N plastic, Nucl. Instrum. Meth. Phys. Res. B 140 (1998) 367-372.

DOI: 10.1016/s0168-583x(98)00011-1

[36] D. Storzer and G.A. Wagner, Correction of Thermally Lowered Fission Track Ages of Tektites, Earth Planet. Sci. Lett. 5 (1969) 463-468.

DOI: 10.1016/s0012-821x(68)80080-9

[37] H.A. Khan and S.A. Durrani, The annealing of latent damage trails in solid-state nuclear track detectors, Nucl. Instrum. Meth. 113 (1973) 51-54.

DOI: 10.1016/0029-554x(73)90476-x

[38] K.K. Nagpal, P.P. Mehta and M.L. Gupta, Annealing studies on radiation damages in biotite, apatite and sphene and corrections to fission track ages, Pure Appl. Geophys. 112 (1974a) 131-139.

DOI: 10.1007/bf00875927

[39] K.K. Nagpal, P.P. Mehta and M.L. Gupta, (1974a): Fission track ages of cogenetic minerals of the Nellore mica belt of India, Pure Appl. Geophys. 112 (1974b) 140-148.

DOI: 10.1007/bf00875928

[40] S.K. Modgil, H.S. Virk, Track annealing studies in glasses and minerals, Nucl. Track Radiat. Meas. 8(1-4) (1984) 355-360.

DOI: 10.1016/0735-245x(84)90120-0

[41] H.S. Virk and S.L. Koul, Annealing characteristics of induced fission tracks in micaceous minerals, Curr. Sci. 44 (1975) 341-342.

[42] H.S. Virk and S. Singh, Annealing correction to fission track ages of biotites, Ind. J. Pure Appl. Phys. 14 (1976) 421-422.

[43] S. Singh and H.S. Virk, Annealing correction to the fission track ages of phlogopites, Curr. Sci. 46 (1977) 376-378.

[44] S.L. Koul and H.S. Virk, Thermal annealing behaviour of fission tracks in apatite crystal found at Borra mine, Vishakhapatnam District (India), Mineralogical J. (Japan) 9 (1978) 55-63.

DOI: 10.2465/minerj.9.55

[45] G. Poupeau, J. Carpena, A. Chambaudet, and Ph. Romary, Fission track plateau-age dating, In: H. Francois et al. (eds. ), Proceedings of Solid State Nuclear Track Detectors Conference, Lyon (1979), Pergamon Press, Oxford, 1980, pp.966-977.

DOI: 10.1016/b978-0-08-025029-8.50123-2

[46] S. Singh, P.S. Suri and H.S. Virk, Correction for thermally affected fission tracks in glass (obsidian) by age plateau method, Curr. Sci. 50 (1981) 626-627.

[47] G.A. Wagner and P. Van den Haute, Fission Track Dating, Springer, 1992, pp.1-285. ISBN: 978-94-010-5093-7 (Print) 978-94-011-2478-2 (Online).

DOI: 10.1007/978-94-011-2478-2_3

[48] R.L. Fleischer, P.B. Price, E.M. Symes and D.S. Miller, Fission track ages and track annealing behaviour of some micas, Science 143 (1964) 349-351.

DOI: 10.1126/science.143.3604.349

[49] R.L. Fleischer, P.B. Price and R.M. Walker, Effects of temperature, pressure, and ionization on the formation and stability of fission tracks in minerals and glasses, J. Geophys. Res. 70 (1965) 1497-1502.

DOI: 10.1029/jz070i006p01497

[50] D. Storzer, Fission track dating of volcanic glasses and the thermal history of rocks, Earth Planet. Sci. Lett. 8 (1070) 55-60.

DOI: 10.1016/0012-821x(70)90099-3

[51] C.W. Naeser, J.C. Engels and F.C.W. Dodge, Fission track annealing and age determination of epidote minerals, J. Geophys. Res. 75 (1970) 1579-1584.

DOI: 10.1029/jb075i008p01579

[52] C.W. Naeser, Fission-track dating and geologic annealing of fission tracks, in: E. Jager and J. C. Hunziker (eds. ), Lectures in Isotope Geology, Springer-Verlag, Heidelberg, pp.154-169.

DOI: 10.1007/978-3-642-67161-6_10

[53] S.A. Durrani and H.A. Khan, Annealing of fission tracks in tektites: corrected ages of bediasites, Earth Planet Sci. Lett. 9 (1970) 431-445.

DOI: 10.1016/0012-821x(70)90010-5

[54] E. Bertal, T.D. Mark and M. Pahl, A new method for the measurement of the mean etchable fission track length and of extremely high fission track densities in minerals, Nucl. Track Detection 1 (1970) 123-126.

DOI: 10.1016/0145-224x(77)90005-9

[55] G.M. Reimer, G.A. Wagner and B.S. Carpenter, The thermal stability of fission tracks in the standard reference material glass standard (National Bureau of Standards), Radiat. Effects 15 (1972) 273-274.

DOI: 10.1080/00337577208234703

[56] J. Burchart, T. Butkiewicz, M. Dakowski, and J. Galazka-Friedman, Fission track retention in minerals as a function of heating time during isothermal experiments: a discussion, Nucl. Tracks 3 (1979) 109-117.

DOI: 10.1016/0191-278x(79)90003-9

[57] T.D. Mark, R. Vartanian, F. Purtscheller and M. Pahl, Fission track annealing and application to the dating of Austrian sphene, Acta Phys. Austriaca 53 (1981) 45-59.

[58] P.P. Mehta, and Rama, Annealing effects in muscovite and their influence on dating by fission track method, Earth Planet. Sci. Lett. 7 (1969) 82-86.

DOI: 10.1016/0012-821x(69)90017-x

[59] L.C. Calk, and C.W. Naeser, The thermal effect of a basalt intrusion on fission tracks in quartz monzonite, J. Geol. 81 (1973) 189-198.

DOI: 10.1086/627834

[60] Y. Cantelaube, Thermal fading of fission tracks at variable temperature: Applications to geochronology, Nucl. Tracks 6(4 (1982) 143-160.

DOI: 10.1016/0735-245x(82)90013-8

[61] W. Gentner, D. Storzer and G.A. Wagner, New fission track ages of tektites and related glasses, Geochim. Cosmochim. Acta 33 (1969) 1075-1081.

DOI: 10.1016/0016-7037(69)90063-5

[62] S.A. Durrani, and R.K. Bull, Solid State Nuclear Track Detection (Principles, Methods and Applications), Pergamon Press, Oxford, (1987).

[63] C.W. Naeser and H. Faul, Fission-Track Annealing in Apatite and Sphene, J. Geophys. Res. 74 (1969) 705-710.

DOI: 10.1029/jb074i002p00705

[64] E. Mark, M. Pahl, F. Purtscheller and T.D. Mark, Thermische Ausheilung von UranSpaltspuren in Apatiten, Alterskorrekturen und Beitrage zur Geothermochronologie, Tschermarks Min. Petr. Mitt. 20 (1973) 131-154.

DOI: 10.1007/bf01081388

[65] M.S.M. Mantovani, Variations of characteristics of fission tracks in muscovites by thermal effects, Earth Planet. Sci. Lett. 24 (1974) 311-316.

DOI: 10.1016/0012-821x(74)90110-1

[66] R. Gold, J.H. Roberts and F.H. Ruddy, Annealing phenomena in solid state track recorders, Nucl. Tracks 5 (1981) 253-264.

DOI: 10.1016/0191-278x(81)90003-2

[67] E. Dartyge, Ph.D. Thesis, Univeristeꞌ de Paris XI, Orsay, 1979 (unpublished).

[68] E. Mark and T.D. Mark, Comments on the paper entitled 'Fission track retention in minerals as a function of heating time during isothermal experiments', by Burchart et al., Nucl. Tracks 5 (1981) 325-328.

DOI: 10.1016/0191-278x(81)90012-3

[69] E. Mark and T.D. Mark, Fission track temperature age theory, Nucl. Tracks Suppl. 3 (1982) 389-394.

DOI: 10.1016/b978-0-08-026509-4.50085-4

[70] E. Dartyge, J.P. Daraud, Y. Langevin and M. Maurette, New model of nuclear particle tracks in dielectric minerals, Phys. Rev. B23 (1981) 5213-5229.

DOI: 10.1103/physrevb.23.5213

[71] G. J. Dienes and A. C. Damask, Point Defects in Metals, Gordon and Breach Sci. Publishers, N. York, (1963).

[72] P.F. Green, I.R. Duddy, A.J.W. Gleadow, P.R. Tingate and G.M. Laslett, Thermal annealing of fission tracks in apatite: 1. A qualitative description, Chemical Geology 59 (1986) 237-253.

DOI: 10.1016/0168-9622(86)90074-6

[73] G.M. Laslett, P.F. Green, I.R. Duddy and A.J.W. Gleadow, Thermal annealing of fission tracks in apatite: 2. A quantitative analysis, Chemical Geology 65 (1987) 1-13.

DOI: 10.1016/0168-9622(87)90057-1

[74] M. H. Salamon, P. B. Price and J. Drach, Thermal annealing of nuclear tracks in polycarbonate plastic, Nucl. Instrum. Meth. Phys. Res. B17 (1986) 173-176.

[75] P.F. Green, I.R. Duddy, A.J.W. Gleadow and P.R. Tingate, Fission-track annealing in apatite: track length measurements and the form of Arrhenius plot, Nucl. Tracks 10 (1985) 323-328.

DOI: 10.1016/0735-245x(85)90121-8

[76] K.K. Sharma, K.D. Bal, R. Prashad, Nand Lal and K.K. Nagpal, Palaeo-uplift and cooling rates from various orogenic belts of India, as revealed by radiometric ages, Tectonophysics 70 (1980) 135.

DOI: 10.1016/0040-1951(80)90024-4

[77] J. Carpena, U. Pognante and B. Lombardo, New constraints for the timing of the alpine metamorphism in the internal ophiolitic nappes from the western Alps as inferred from fission- track data, Tectnonophysics 127 (1986) 117-127.

DOI: 10.1016/0040-1951(86)90082-x

[78] M. Dakowski,J. Burchart and J. Galazka, Experimental formula for thermal fading of fission tracks in minerals and natural glasses, Bull. Acad. Polan. Sci., Ser. Sci. Terre 22 (1974) 11-17.

[79] T.D. Mark, M. Phal and R. Vartanian, Fission track annealing and fission track age- temperatrue relationship in sphene. Nucl. Technol. 52 (1981) 295-305.

DOI: 10.13182/nt81-a32672

[80] P.B. Price, G. Gerbier, H.S. Park and M.H. Salamon, Systematics of annealing of tracks of relativistic nuclei in phosphate glass detectors, Nucl. Instrum. Methd. Phys. Res. B27 (1987) 53-55.

DOI: 10.1016/0168-583x(87)90035-8

[81] H.S. Virk, S.K. Modgil and G. Singh, Fission track annealing models and the concept of a single activation energy, Nucl. Instrum. Meth. Phys. Res. B 21 (1987) 68-71.

[82] H.A. Khan, N.A. Khan, K. Jamil and R. Brandt, Annealing of Heavy Ion Latent Damage Trails in Muscovite Mica and CR-39 Plastic Track Detectors, Nucl. Tracks Radiat Meas. 8 (1-4) (1984) 377-380.

DOI: 10.1016/0735-245x(84)90124-8

[83] M.A. Rana, I.E. Qureshi, S. Manzoor, E.U. Khan, M.I. Shahzad, G. Sher, Activation energy for the annealing of nuclear tracks in SSNTDs, Nuclear Instruments and Methods in Physics Research B 179 (2001) 249-254.

DOI: 10.1016/s0168-583x(01)00574-2

[84] M.A. Rana, I.E. Qureshi, E.U. Khan, S. Manzoor, M.I. Shahzad, H.A. Khan, Thermal annealing of fission fragment radiation damage in CR-39, Nucl. Instr. and Meth. B 170 (2000) 149-155.

DOI: 10.1016/s0168-583x(00)00154-3

[85] M.K. Rahn, M.T. Brandon, G.E. Batt, J.I. Garver, A zero-damage model for fission track annealing in zircon, American Mineralogist 89 (4) (2004) 473-484.

DOI: 10.2138/am-2004-0401

[86] R.F. Galbraith, and G.M. Laslett, Statistical modelling of thermal annealing of fission tracks in zircon. Chemical Geology, 140 (1997) 123–135.

DOI: 10.1016/s0009-2541(97)00016-8

[87] T. Tagami, R.F. Galbraith, R. Yamada, G.M. Laslett, (1998).

[88] R. Yamada, T. Tagami, S. Nishimura, H. Ito, H. Annealing kinetics of fission tracks in zircon: an experimental study. Chemical Geology, 122 (1995) 249–258.

DOI: 10.1016/0009-2541(95)00006-8