X-ray diffraction (XRDS) is a crucial analytical technique for the quantitative determination of mineral content. However, the prevalent occurrence of preferred orientation in schistose minerals presents a significant challenge to accurate quantitative analysis. To address this issue, a mathematical correction model was developed to mitigate the impact of preferred orientation, significantly enhancing its accuracy. This correction involves applying a multiplicity factor to selected planes and maintaining consistency across the total number of planes under both preferred and non-preferred orientation conditions. Calcite (CaCO3) and dolomite (CaMg(CO3)2), two common calcium-containing minerals with known preferred orientations and relatively simple structures, were employed to test and validate the model. Following the application of the correction, the results demonstrated errors of less than 1.56 wt%, thereby ensuring accuracy and reliability. This method effectively addresses the challenge of preferred orientation in minerals, enhancing the precision and dependability of quantitative mineral analysis.

中文翻译：

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通过 X 射线衍射对血吸矿物进行定量分析的优先取向校正

X 射线衍射 （XRDS） 是定量测定矿物含量的重要分析技术。然而，血吸矿物中普遍存在的择优取向对准确的定量分析提出了重大挑战。为了解决这个问题，开发了一种数学校正模型来减轻首选取向的影响，从而显著提高其准确性。此校正涉及将多重性因子应用于选定的平面，并在首选和非首选方向条件下保持平面总数的一致性。方解石 （CaCO3） 和白云石 （CaMg（CO3）2） 是两种常见的含钙矿物，具有已知的优先取向和相对简单的结构，用于测试和验证模型。应用校正后，结果表明误差小于 1.56 wt%，从而确保了准确性和可靠性。该方法有效地解决了矿物中择优取向的挑战，提高了定量矿物分析的精度和可靠性。