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首页> 外文期刊>Nuclear Instruments & Methods in Physics Research. B, Beam Interactions with Materials and Atoms >Kinetic model for the relationship between confined fission-track length shortening and fission-track age reduction in minerals
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Kinetic model for the relationship between confined fission-track length shortening and fission-track age reduction in minerals

机译：矿物中裂变径迹长度缩短与裂变径迹年龄减少之间关系的动力学模型

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摘要

As a consequence of thermal treatment, fission tracks are shortened and a reduction of the surface density is expected, implying in a reduction of the fission-track age. Geometric considerations predict a linear relationship between track shortening and surface density reduction. However, experimental results for apatite, zircon and titanite found in literature, show a deviation from this relationship. Observation efficiency, crystallographic orientation, track segmentation and biases in length measurements have been invoked in order to explain the experiments, but do not succeeded in this aim. In this work, a model relating etching efficiency (via critical angle) with the amount of lattice defect (via mean track length) is proposed. It is assumed that the chemical etching obeys a rate law and that the observable means of densities and lengths are the net result from the mean actions of the orientation-dependent track and bulk etching velocities. The result is a two-parameter kinetic model described by the equation (ρ/ρ_0) = (l/l_0){1 - [1 + (kl_0(l/l_0))~n]~(-2)}/{1 - [1 + (kl_0)~n]~(-2)}, where k and n are parameters related to the particular characteristics of the minerals. The model fits quite well the experimental data, showing that the general model principles (hypotheses and simplifications), provide a good general description of the processes causing the deviation detected by the experiments. The presented model does not discard, but embrace the previous attempts of explaining the relationship between fission-track lengths and densities.
机译：作为热处理的结果，裂变径迹缩短并且预期表面密度降低，这意味着裂变径迹寿命的减少。几何方面的考虑因素预测了轨道缩短与表面密度降低之间的线性关系。但是，文献中发现的磷灰石，锆石和钛矿的实验结果表明，这种关系存在偏差。为了解释实验，已经调用了观察效率，晶体学取向，轨迹分割和长度测量中的偏差，但并没有成功达到这一目的。在这项工作中，提出了一种将刻蚀效率（通过临界角）与晶格缺陷量（通过平均磁道长度）相关的模型。假定化学蚀刻服从速率定律，并且密度和长度的可观察手段是取向依赖轨迹和体蚀刻速度的平均作用的最终结果。结果是由等式（ρ/ρ_0）=（l / l_0）{1- [1 +（kl_0（l / l_0））〜n]〜（-2）} / {1描述的两参数动力学模型-[1 +（kl_0）〜n]〜（-2）}，其中k和n是与矿物的特定特征有关的参数。该模型非常适合实验数据，表明通用的模型原理（假设和简化）可以很好地概括说明导致实验检测到偏差的过程。提出的模型并没有丢弃，而是包含了以前解释裂变径迹长度和密度之间关系的尝试。

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