Experimental studies of annealing of etched fission tracks in fluorapatite

Annealing of etchable fission-track damage in fluorapatite (Ca 4.96Fe 0.01Na 0.02Sr 0.01REE 0.01) 5.01-(P 2.98Si 0.02) 3.00O 12(F 1.00Cl 0.02) 1.02 and Sr fluorapatite (Ca 4.68Na 0.04Sr 0.02REE 0.03) 4.97(P 2.98Si 0.03) 3.01O 12F 1.03was investigated in laboratory heating experiments at 1, 10, 100, and 1000 h at temperatures ranging from 40 to 360°C. For each of the approximately 105 heating experiments, annealing was characterized by measuring the lengths of confined tracks in mineral sections oriented parallel to the c axis and the acute angles between azimuths of the tracks and the c axis. Annealing is characterized by the monotonic decrease in etched track length with increasing temperature or heating time. Track shortening is anisotropic at all stages of fading: tracks parallel to c are most resistant to shortening, tracks perpendicular to c are at least resistant to shortening, and tracks at intermediate angles have intermediate annealing resistances. The relationship between mean track length and track length parallel or perpendicular to c is approximately linear. The decrease in normalized mean track length ( r) with increasing temperature ( T) or heating time ( t) for the fluorapatite and Sr fluorapatite data presented here, as well as the annealing data of Green et al. (1986) from Durango apatite, is best described by the equation g(r; α, β) = C 0 + [C 1 ln t + C 2] [( 1 T ) − C 3] , where g( r; α, β) is a power transform of r, and α, β, C 0, C 1, C 2, and C 3 are parameters. On the Arrhenius diagram, the fading contours (contours of constant r) for this model equation plot as a series of straight lines that intersect at a single point termed the “crossover point.” For the fluorapatite and Sr-fluorapatite data presented here, the crossover points occur within the interval 523° C ≤ T≤957° C, 10 −5≤ t ≤ 10 −2 s. This point is interpreted to represent the limit of stability of tracks in apatite. Activation energies, which are proportional to the slopes of the fading contours, increase from about 20 kcal /mol at the onset of annealing to about 66 kcal /mol at the final stages of fading. This increase indicates that tracks become more resistant to shortening with progressive annealing. The crossover points and activation energies for the fluorapatite and Sr-fluorapatite model equations are not significantly different at the 5% level. We conclude that, to the first order, the annealing resistance of these two samples as characterized by normalized mean