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首页> 外文期刊>Journal of mineralogical and petrological sciences >Three–dimensional visualization of ternary prisms (T–prism): Development of a spreadsheet–based tool for Earth and material sciences
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Three–dimensional visualization of ternary prisms (T–prism): Development of a spreadsheet–based tool for Earth and material sciences

机译：三元棱镜的三维可视化（T-棱镜）：开发基于电子表格的地球和材料科学工具

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摘要

T–prism is a Microsoft–Excel–based tool that visualizes ternary space diagrams (i.e., ternary prisms) in three–dimensional (3D) space. This tool allows us to examine the overall features of a dataset in both three– and two–dimensional spaces by altering the viewing angles. T–prism involves two algorithms that coordinate the transformation and rotation of diagrams in a virtual 3D space. This paper describes a new and simple coordinate transformation from a ternary space diagram (i.e., ternary prisms) to an XYZ orthogonal system. Coordinates of a point of interest in the ternary space diagram, expressed using the proportions of three components of a basal triangle (r , l , and t , where r + l + t = 100) and an additional variable (h ), are converted into coordinates in the orthogonal system as follows: x = (r + 100 ? l )/2, y = √3/2t , and z = fh . Here, f represents the correction factor used to appropriately express the length of an axis perpendicular to the basal ternary diagram. T–prism is particularly suitable for visualizing phase relations in multicomponent systems, the physical properties of materials, and compositional variations in solid solutions. Hence, the tool is applicable to a broad variety of research and teaching fields, including Earth science, material science, and physical chemistry.
机译：T-Prism是基于Microsoft-Excel的工具，可在三维（3D）空间中可视化三元空间图（即三元棱镜）。该工具允许我们通过更改视角来检查三维和二维空间中数据集的整体特征。 T-Prism涉及两种算法，它们协调虚拟3D空间中图表的转换和旋转。本文介绍了一种新的简单坐标转换，从三元空间图（即三元棱镜）到XYZ正交系统。三元空间图中的兴趣点坐标，使用基三角形的三个分量（ r， l和 t，其中<​​i> r + l + t = 100）和一个附加变量（ h）在正交系统中转换为坐标，如下所示： x =（ r + 100？ l）/ 2 ， y =√3/ 2 t和z = fh。在此，f表示用于适当地表示与基础三元图垂直的轴的长度的校正因子。 T-棱镜特别适用于可视化多组分系统中的相关系，材料的物理性质以及固溶体中的成分变化。因此，该工具适用于广泛的研究和教学领域，包括地球科学，材料科学和物理化学。

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