The thermal recovery (annealing) of mineral structure modified by the passage of fission fragments has long been studied by the etching technique. In minerals like apatite and zircon, the annealing kinetics are fairly well constrained from the hour to the million-year timescale and have been described by empirical and semi-empirical equations. On the other hand, laboratory experiments, in which ion beams interact with minerals and synthetic ceramics, have shown that there is a threshold temperature beyond which thermal recovery impedes ion-induced amorphization. In this work, it is assumed that this behavior can be extended to the annealing of fission tracks in minerals. It is proposed that there is a threshold temperature, T0, beyond which fission tracks are erased within a time t0, which is independent of the current state of lattice deformation. This implies that iso-annealing curves should converge to a fanning point in the Arrhenius pseudo-space (ln t vs. 1/T). Based on the proposed hypothesis, and laboratory and geological data, annealing equations are reevaluated. The geological timescale estimations of a model arising from this study are discussed through the calculation of partial annealing zone and closure temperature, and comparison with geological sample constraints found in literature. It is shown that the predictions given by this model are closer to field data on closure temperature and partial annealing zone than predictions given by previous models. © 2012 Springer-Verlag Berlin Heidelberg.40293106Afra, B., Lang, M., Rodriguez, M.D., Zhang, J., Giulian, R., Kirby, N., Ewing, R.C., Kluth, P., Annealing kinetics of latent particle tracks in Durango apatite (2011) Phys Rev B, 83, p. 064116Bai, X.M., Voter, A.F., Hoagland, R.G., Nastasi, M., Uberuaga, B.P., Efficient annealing of radiation damage near grain boundaries via interstitial emission (2010) Science, 237, pp. 1631-1634Barbarand, J., Carter, A., Wood, I., Huford, T., Compositional and structural control of fission-track annealing in apatite (2003) Chem Geol, 198, pp. 107-137Caldeira, A.O., Leggett, A.J., Influence of dissipation on quantum tunneling in macroscopic systems (1982) Phys Rev Lett, 46, pp. 211-214Caldeira, A.O., Leggett, A.J., Quantum tunnelling in a dissipative system (1983) Ann Phys, 149, pp. 374-456Carlson, W.D., Mechanisms and kinetics of apatite fission-track annealing (1990) Am Miner, 75, pp. 1120-1139Carlson, W.D., Mechanisms and kinetics of apatite fission-track annealing-reply to Kevin D. Crowley (1993) Am Miner, 78, pp. 213-215Carlson, W.D., Mechanisms and kinetics of apatite fission-track annealing-Reply to Green et al (1993) Am Miner, 78, pp. 446-449Carlson, W.D., Donelick, R.A., Ketcham, R.A., Variability of apatite fission-track annealing kinetics: I. Experimental results (1999) Am Miner, 84, pp. 1213-1223Crowley, K.D., Mechanisms and kinetics of apatite fission-track annealing-Discussion (1993) Am Miner, 78, pp. 210-212Crowley, K.D., Cameron, M., Schaefer, R.L., Experimental studies of annealing of etched fission tracks in fluorapatite (1991) Geoch Cosmoch Ac, 55, pp. 1449-1465Curvo, E.A., Hadler, J.C., Iunes, P.J., Guedes, S., Tello, C.A.S., Paulo, S.R., Hackspacher, P.C., Moreira, P.A.F.P., On epidote fission track dating (2005) Radiat Meas, 39 (641), p. 645Dodson, M.H., Cooling temperature in cooling geochronological and petrological systems (1973) Contrib Miner Petr, 40, pp. 259-274Duddy, I.R., Green, P.F., Laslett, G.M., Thermal annealing of fission tracks in apatite. 3. Variable temperature behavior (1988) Chem Geol, 73, pp. 25-38Ellsworth, S., Navrotsky, A., Ewing, R.C., Energetics of radiation damage in natural zircon (ZrSiO4) (1994) Phys Chem Miner, 21, pp. 140-149Emsley, J., (1991) The Elements, , Oxford: Claredon PressEwing, R.C., Meldrum, A., Wang, L., Weber, W.J., Corrales, L.R., Radiation effects in zircon (2003) Rev Miner Geochem, 53, pp. 387-425Gaines, R.V., Skinner, H.C.W., Foord, E.E., Mason, B., Rosenzweig, A., (1997) Dana's New Mineralogy, , New York: WileyGalbraith, R.F., Laslett, G.M., Statistical modelling of thermal annealing of fission tracks in zircon (1997) Chem Geol, 140, pp. 123-135Gold, R., Roberts, J.H., Ruddy, F.H., Advances in SSTR techniques for dosimetry and radiation damage measurements (1979) In: Third international ASTM-EURATOM symposium on reactor dosimetry, pp. 1172-1187. , Ispra (Varese) Italy, 1-5 Oct 1979 (ed. Röttger H.) Dosimetry methods for fuels, cladding and structural materials, EUR-6813, Joint Research Centre, PetteuGold, R., Roberts, J.H., Ruddy, F.H., Annealing phenomena in solid state track recorders (1981) Nucl Tracks, 5, pp. 253-264Green, P.F., Duddy, I.R., Gleadow, A.J.W., Tingate, P.R., Laslett, G.M., Thermal annealing of fission tracks in apatite 1. Qualitative description (1986) Chem Geol, 59, pp. 237-253Green, P.F., Laslett, G.M., Duddy, I.R., Mechanisms and kinetics of apatite fission-track annealing-Discussion (1993) Am Miner, 78, pp. 441-445Guedes, S., Hadler, J.C., Iunes, P.J., Tello, C.A.S., Kinetic model for the relationship between confined fission-track length shortening and fission-track age reduction in minerals (2004) Nucl Instrum Meth B, 217, pp. 627-636Guedes, S., Hadler, J.C., Iunes, P.J., Oliveira, K.M.G., Moreira, P.A.F.P., Tellos, C.A.S., Kinetic model for the annealing of fission tracks in zircon (2005) Radiat Meas, 40, pp. 517-521Guedes, S., Hadler, J.C., Oliveira, K.M.G., Moreira, P.A.F.P., Iunes, P.J., Tellos, C.A.S., Kinetic model for the annealing of fission tracks in minerals and its application to apatite (2006) Radiat Meas, 41, pp. 392-398Guedes, S., Curvo, E.A.C., Tello, C.A.S., Hadler, J.C., Iunes, P.J., Paulo, S.R., Palissari, R., On the annealing of fission tracks in randomly oriented grains of apatite (2007) Nucl Instrum Meth B, 256, pp. 683-692Guedes, S., Jonckheere, R., Moreira, P.A.F.P., Hielscher, R., On the calibration of fission-track annealing models (2008) Chem Geol, 248, pp. 1-13Hasebe, N., Tagami, T., Nishimura, S., Towards zircon fission-track thermochronology: reference framework for confined length measurements (1994) Chem Geol, 112, pp. 169-178Hasebe, N., Mori, S., Tagami, T., Matsui, R., Geological partial annealing zone of zircon fission-track system: additional constrains from the deep drilling MITI-Nishikubiki and MITI-Mishima (2003) Chem Geol, 199, pp. 45-52Jonckheere, R., On the densities of etchable fission tracks in a mineral and co-irradiated external detector with reference to fission-track dating of minerals (2003) Chem Geol, 200, pp. 41-58Jonckheere, R., On methodical problems in estimating geological temperature and time from measurements of fission tracks in apatite (2003) Radiat Meas, 36, pp. 43-55Jonckheere, R., Wagner, G.A., On the thermal stability of fossil and neutron-induced fission-tracks in natural titanite (2000) Nucl Instrum B, 16, pp. 78-87Ketcham, R.A., Donelick, R.A., Carlson, W.D., Variability of apatite fission-track annealing kinetics: III. Extrapolation to geological time scales (1999) Am Miner, 84, pp. 1235-1255Ketcham, R.A., Carter, A., Donelick, R.A., Barbarand, J., Hurford, A.J., Improved modeling of fission-track annealing in apatite (2007) Am Miner, 92, pp. 799-810Koch, W., Grossmann, F., Tannor, D.J., Trajectory based non-markovian dissipative tunneling (2010) Phys Rev Lett, 105, p. 230405Lang, M., Lian, J., Zhang, F., Hendriks, B.W.H., Trautmann, C., Neumann, R., Ewing, R.C., Fission tracks simulated by swift heavy ions at crustal pressures and temperatures (2008) Earth Planet Sci Lett, 274, pp. 355-358Laslett, G.M., Galbraith, R.F., Statistical modelling of thermal annealing of fission tracks in apatite (1996) Geoch Cosmoch Ac, 60, pp. 5117-5131Laslett, G.M., Green, P.F., Duddy, I.R., Gleadow, A.J.W., Thermal annealing of fission tracks in apatite. 2. A quantitative analysis (1987) Chem Geol, 65, pp. 1-13Levitan, J., Suchanecki, Z., Effect of noise on the tunneling through a potential barrier (1994) Phys Rev A, 50, pp. 2761-2763Li, W., Wang, L., Lang, M., Trautmann, C., Ewing, R.C., Thermal annealing mechanisms of latent fission tracks: apatite vs. zircon (2011) Earth Planet Sci Lett, 302, pp. 227-235Li, W., Lang, M., Gleadow, A.J.W., Zdorovets, M.V., Ewing, R.C., Thermal annealing of unetched fission tracks in apatite (2012) Earth Planet Sci Lett, 321, pp. 121-127Lian, J., Wang, M., Sun, K., Ewing, R.C., In situ TEM of radiation effects in complex ceramics (2009) Microsci Res Tech, 72, pp. 165-181Meldrum, A., Wang, L.M., Ewing, R.C., Ion beam induced amorphization of monazite (1996) Nucl Instrum Meth B, 116, pp. 220-224Meldrum, A., Zinkle, S.J., Boatner, L.A., Ewing, R.C., Heavy-ion irradiation effects in the ABO4 orthosilicates: recrystallization decomposition, amorphization, and recrystallization (1999) Phys Rev B, 59, pp. 3981-3992Moreira, P.A., Devanathan, R., Weber, W.J., Atomistic simulation of track formation by energetic recoils in zircon (2010) J Phys Condens Mat, 22, p. 395008Murakami, M., Yamada, R., Tagami, T., Short-term annealing characteristics of spontaneous fission tracks in zircon: a qualitative description (2006) Chem Geol, 227, pp. 214-222Nasdala, L., Hanchar, J., Wirth, R., Blanc, P., Kennedy, A., Seydoux-Guillaume, A., Annealing radiation damage and the recovery of cathodoluminescence (2002) Chem Geol, 191, pp. 121-140Paul, T.A., Transmission electron microscopy investigation of unetched in fission tracks in fluorapatite-physical process of annealing (1993) Nucl Tracks Radiat Meas, 21, pp. 507-511Paul, T.A., Fitzgerald, P.G., Transmission electron microscopic investigation of fission tracks in fluorapatite (1992) Am Miner, 77, pp. 336-344Rahn, M.K., Brandon, M.T., Batt, G.E., Garver, J.I., A zero-damage model for fission-track annealing in zircon (2004) Am Miner, 89, pp. 473-484Ravenhurst, C.E., Roden-Tice, M.K., Miller, D.S., Thermal annealing of fission tracks in fluorapatite, chlorapatite, manganoanapatite, and Durango apatite: experimental results (2003) Can J Earth Sci, 40, pp. 995-1007Roberts, J.H., Gold, R., Ruddy, F.H., Thermal annealing studies in muscovite and quartz (1980) In: Tenth international conference on solid state nuclear track detectors, pp. 177-183. , Lyons, France, 2-7 July 1979, (eds François H. et al.), Prgamon Press, OxfordSchiwietz, G., Czerski, K., Roth, M., Staufenbiel, F., Grande, P.L., Femtosecond dynamics-snapshots of the early ion-track evolution (2004) Nucl Instr Meth Phys Res B, 225, pp. 4-26Smith, W., Forester, T.R., DL_POLY_2.0: a general-purpose parallel molecular dynamics simulation package (1996) J Mol Graph, 14, pp. 136-141Szenes, G., Amorphous tracks in insulators induced by monoatomic and cluster ions (1999) Phys Rev B, 60, pp. 3140-3147Tagami, T., Galbraith, R.F., Yamada, R., Laslett, G.M., Revised annealing kinetics of fission tracks in zircon and geological implications (1998) Advances in Fission-Track Geochronology, pp. 99-112. , P. HauteVan Den and F. CorteDe (Eds.), London: Academic PublishersTello, C.A., Palissari, R., Hadler, J.C., Iunes, P.J., Guedes, S., Curvo, E.A.C., Paulo, S.R., Annealing experiments on induced fission tracks in apatite: measurements of horizontal-confined track lengths and track densities in basal sections and randomly oriented grains (2006) Am Miner, 91, pp. 252-260Utsunomiya, S., Wang, L.M., Ewing, R.C., Ion irradiation effects in natural garnets: comparison with zircon (2002) Nucl Instr Meth Phys Res B, 191, pp. 600-605Utsunomiya, S., Wang, L.M., Yudintsev, S., Ewing, R.C., Ion irradiation-induced amorphization and nano-crystal formation in garnets (2002) J Nucl Mater, 303, pp. 177-187Utsunomiya, S., Yudintsev, S., Ewing, R.C., Radiation effects in ferrate garnet (2005) J Nucl Mat, 336, pp. 251-260Virk, H.S., Single activation-energy model of radiation-damage in solid-state nuclear track detectors (1995) Radiat Eff Defect, 133, pp. 87-95Wagner, G.A., van Den Haute, P., (1992) Fission-Track Dating. Solid Earth Sciences, , Dordrecht: KluwerWeber, W.J., Radiation-induced defects and amorphization in zircon (1990) J Mater Res, 5, pp. 2687-2697Weber, W.J., Ewing, R.C., Wang, L.M., The radiation-induced crystalline-to-amorphous transition in zircon (1994) J Mater Res, 9, pp. 688-698Weber, W.J., Ewing, R.C., Catlow, C.R.A., Hobbs, L.W., Diaz de la Rubia, T., Kinoshita, C., Matzke, H., Zinkle, S.J., Radiation effects in crystalline ceramics for the immobilization of high-level nuclear waste and plutonium (1998) J Mater Res, 13, pp. 1434-1484Wendler, E., Mechanisms of damage formation in semiconductors (2009) Nucl Instrum Meth B, 267, pp. 2680-2689Widom, A., Clark, T.D., Probabilities for quantum tunneling through a barrier with linear passive dissipation (1982) Phys Rev Lett, 48, pp. 63-65Yamada, R., Tagami, T., Nishima, S., Ito, H., Annealing kinetics of fission tracks in zircon: an experimental study (1995) Chem Geol, 122, pp. 249-258Yamada, R., Murakami, M., Tagami, T., Statistical modelling of annealing kinetics of fission tracks in zirconreassessment of laboratory experiments (2007) Chem Geol, 236, pp. 75-91Yu, J., Devanathan, R., Weber, W.J., Unified interatomic potential for zircon, zirconia and silica systems (2009) J Mater Chem, 19, pp. 3923-3930Zhang, J., Lang, M., Ewing, R.C., Devanathan, R., Weber, W.J., Toulemonde, M., Nanoscale phase transitions under extreme conditions within an ion track (2010) J Mater Res, 25, pp. 1344-1351Ziegler, J.F., Ziegler, M.D., Biersack, J.P., SRIM-The stopping and range of ions in matter (2010) Nucl Instrum Meth B, 268, pp. 1818-1823