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本文法采用了Criss和Birks提出的标准与被测元素数目相同的数学模型。在用Fatemi和Birks的零行列式法进行计算时,经验方程的几个联立方程组的解一致性提高了,但在我们的实验中准确度(以化学法为准)一般未得到改善。我们发现,选择所解的联立方程组对结果的准确与否具有一定的规律性。解一个联立方程组即可得到与化学法更为接近的结果,且计算过程简单、快速。对本实验而言,解舍去经验方程中含R_w方程后的联立方程组结果最好。当用Fatemi和Birks的实验数据解舍去含R_(Fe)方程后的联立方程时,其结果也证实了上面的规律。方法的标准偏差(10号样)对Cu、Ni、W、Fe分别为0.03,0.013,0.08,0.001。变动系数分别为0.32%,0.63%,0.036%,10.8%。数据处理采用自编计算程序。
This method uses the mathematical model of Criss and Birks proposed standards and the number of elements to be measured the same. The consistency of several simultaneous equations of the empirical equation improves with the zero-determinant method of Fatemi and Birks, but in our experiments the accuracy (by chemical method) is generally not improved. We find that the choice of simultaneous equations solved has a certain regularity with regard to the accuracy of the results. Solving a system of simultaneous equations gives a closer approximation of the chemistry, and the calculation is simple and fast. For the purpose of this experiment, the synergetic equations after R-w equations in solutions equation are the best. When the experimental data of Fatemi and Birks are used to solve the simultaneous equations after the equation containing R_ (Fe), the results also confirm the above rule. The standard deviation of the method (No. 10) was 0.03, 0.013, 0.08 and 0.001 for Cu, Ni, W and Fe, respectively. The coefficient of variation is 0.32%, 0.63%, 0.036% and 10.8% respectively. Data processing using self-calculation program.