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

作　　者：王基镕[1] 

机构地区：[1]中国科技大学化学物理系,合肥230026

出　　处：《数学的实践与认识》2003年第11期88-95,共8页Mathematics in Practice and Theory

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 .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：等时线最小二乘拟合法 铅 迭代公式 同位素地质学 

分 类 号：P597[天文地球—地球化学]