金属学报  1988, Vol. 24 Issue (3): 280-285

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无标样X射线衍射定量相分析的回归求解

陈名浩

高级工程师;北京冶金工业部钢铁研究总院14室

REGRESSIVE SOLUTION FOR QUANTITATIVE PHASE ANALYSIS BY X-RAY DIFFRACTION WITHOUT STANDARD SANPLES

CHEN Minghao Central Iron and Steel Research Institute; Ministry of Metallurgical Industry; Beijing№14 Lab;Central Iron and Steel Research Institute;Ministry of Metallurgical Industry; Beijing

陈名浩. 无标样X射线衍射定量相分析的回归求解[J]. 金属学报, 1988, 24(3): 280-285.
. REGRESSIVE SOLUTION FOR QUANTITATIVE PHASE ANALYSIS BY X-RAY DIFFRACTION WITHOUT STANDARD SANPLES[J]. Acta Metall Sin, 1988, 24(3): 280-285.

摘要 参考文献 相关文章 Metrics 全文: PDF(410 KB)   摘要: 用m个试样的测值,构成求k方程的差方和,将其对n个k值求极小(m>n),即令?sum from j=1 to m(M_j-sum from i=1 to n I_(ijk_s~i))~2/?k_s~i=0回归得出n个求k方程的各项系数.由△k=△_I~(-1)*△_M矩阵运算式解出n个k值,进而求得n个未知相量.利用回归降低总误差,以期克服多元方程求解过程中误差叠加的困难.方法应用于W_9Mo_3Cr_4V高速钢析出相的定量分析. 关键词 ： 无标样衍射相分析,  误差,  回归求解     Abstract：The sum of squares of deviations of the equation for calculating kwas constructed using the measured data of m samples. By deriving the minimumof the sum of squares of deviations of n equations, i.e. let ?sum from j=1 to m(M_j--sum from i=1 to n I_(ij)k_s~i)~2'/?k_s~i=0,the regressive coefficients of the n equations can be obtained (m>n). The k valuescan be deduced from the matrix equation Δ_k=Δ_I~(-1), Δ_M, and the n unknown phasesmay be calculated subsequently. It is expected that the trouble of error expansionduring solving the polynomial equation might be overcome by minimizing the sumerror through regression. The above method has been used to analyse precipitatesin high speed steel W_9Mo_3Cr_4V. Key words： X-ray phase analysis without sdandard sample    error    regressive solution 收稿日期: 1988-03-18      服务 把本文推荐给朋友 加入引用管理器 E-mail Alert RSS 作者相关文章 陈名浩 44.8K 链接本文: https://www.ams.org.cn/CN/      或      https://www.ams.org.cn/CN/Y1988/V24/I3/280 1 Zevin L S. J Appl Cryst, 1977; 10: 147; 1979; 12: 582 2 刘沃恒.物理,1979;8(3) :225 3 林树智,张喜章.金属学报,1985;21:B100 4 郭常霖.姚公达.物理学报,1985;34:1451 5 Chung F H. J Appl Cryst, 1974; 7: 519, 526; 1975; 8: 17 6 王彪,卢翠芬.冶金分析,1982;(4) : No related articles found! Viewed Full text Abstract Cited   Shared      Discussed