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放射成因铅与普通铅年龄方程的计算方法

Computer Algorithms of Date Equations of Radiogenic and Common Lead

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【作者】 王基镕

【Author】 WANG Ji-rong (Department of Chemical Physics, University of Science and Technology of China, Hefei 230026, China)

【机构】 中国科技大学化学物理系 合肥230026

【摘要】 York D J给出同时考虑 x与 y都含误差的等时线最小二乘拟合法 ,但是该法所需的基本数据点均应较准确 .对于放射成因铅 2 0 6Pb/ 2 0 7Pb年龄方程及普通铅 Holm es- H outerm ans,Russed- Farquhar- Cum -ming及 Russed- Stanton- Farquhar模式 ,以往的各种算法大多是经验的 ,本文证明了大范围收敛的迭代公式 ,利用它们编制的程序快速且准确 ,满足 York法的精度耍求 .

【Abstract】 York D J gave least-squares fitting of a straight line with correlated errors. Only if data points are accurate, will the calculated isochrone also be accurate. The various computing methods for 206Pb/ 207Pb date equation of radiogenic lead and H-H, R-F-C and R-S-F models of common lead are empirical. This paper describes the nonlocal convergent formulas. Using them, computer programs are rapid and have high accuracy that satisfies the needs of York′s method.

【关键词】 同位素地质学年龄方程
【Key words】 isotopegeologydate equations
  • 【文献出处】 数学的实践与认识 ,Mathematics In Practice and Theory , 编辑部邮箱 ,2003年11期
  • 【分类号】P597
  • 【被引频次】1
  • 【下载频次】131
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