根据枝晶优先生长方向与磨面之间的几何关系，导出了铸造合金试样任意三个相交磨面的晶面指数算式，并创建了两个含有不同算式的电子表格，分别可实现晶体位向及定向切割所需夹角的自动计算，使晶体位向的测算比常用的X射线Laue背射法简单、代价低、效率高。实例验算并通过与X射线Laue背射法测定结果及其它有关数据的比较分析表明，本文建立的方法计算结果可靠。
On the basis of the geometric relationships between the preferentially growing direction of dendritic structure and the grinding faces ,formulae are deduced to determine the crystal plane indexes of any three intersecting grinding faces of cast alloy samples. Two electronic spreadsheets containing the obtained formulae are produced. Automatic calculations on the crystal orientation and angles needed for directional cutting on the samples can be made through the application of the electronic spreadsheets. As compared with the Laue-back reflection method,the proposed one is characterized with the advantages of simplicity,low cost and high effectiveness. Checking computations with examples,comparisons with the Laue-back reflection method and with other related data show that the calculated results with the proposed method are reliable.
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