Fourier级数-应力函数近似法计算晶块尺寸和微观应力

The Calculation of Domain Size and Microstrain by the Fourier Series-Microstrain Function Approximation

Fourier 级数-应力函数近似法可由X 射线衍射的仪测曲线、工具曲线经Fourier 变换和其卷积关系求解出真实宽化曲线;真实宽化曲线,微观应力曲线也可同理求解出晶块宽化曲线.把微观应力曲线近似为1/(1+K^2 X^2) ~2函数图形,用高、低二衍射角的应力常数比K_2/K_1=tgθ_1/tgθ_2 和晶块宽化的积分宽度比β_(m1) /β_(m2) =cosθ_2/cosθ_1 这二个约束条件,并利用计算机递增逼近拟合法,绘出各曲线,为衍射峰形的二级信息的获得提供了可能.

The Fourier series-microstrain function approximation is used forseparating desired curve-f(x)from sample curve-h(x)and instru-meted broadening curve-g(x),The microstrain is approximateto 1/(1+k^2x^2) ~2 The proportionality of two microstrainconstants k_2/k_1 is equal to tgθ_1/tgθ_2. The ratio of twodomain-size intensity widths βm_1/βm_2 is cosθ_2/cosθ_1. Usingthe two ratios,we calculate domain broadening curves m(x)and microstrain broadening curves n(x)from curves f(x).The domain size and mcrostrain functions are hence obtained.