Skip to Main Content
Skip Nav Destination
GEOREF RECORD

Tetrahedral plot diagram; a geometrical solution for quaternary systems

Toshiaki Shimura and Anthony I. S. Kemp
Tetrahedral plot diagram; a geometrical solution for quaternary systems
American Mineralogist (December 2015) 100 (11-12): 2545-2547

Abstract

The transformation from a tetrahedral four-component system to an XYZ-orthogonal coordinate axis system has been solved using the geometry of a tetrahedron. If a four component mixing ratio is described as t, l, r, and f (here, t+l+r+f=1), the transforming equations can be written as X=(r+1-l)/2, y=3/2 t+3/6 f and z=6/3 f. A tetrahedral plot diagram can be easily constructed using the algorithms described in this paper. We present an implementation of these algorithms in a custom-designed Microsoft Excel spreadsheet, including adjustable viewing angles for the tetrahedral plot. This will be of general utility for petrological or mineralogical studies of quaternary systems.


ISSN: 0003-004X
EISSN: 1945-3027
Coden: AMMIAY
Serial Title: American Mineralogist
Serial Volume: 100
Serial Issue: 11-12
Title: Tetrahedral plot diagram; a geometrical solution for quaternary systems
Affiliation: Yamaguchi University, Graduate School of Science and Engineering, Yamaguchi, Japan
Pages: 2545-2547
Published: 201512
Text Language: English
Publisher: Mineralogical Society of America, Washington, DC, United States
References: 14
Accession Number: 2016-007442
Categories: General mineralogy
Document Type: Serial
Bibliographic Level: Analytic
Illustration Description: illus.
Secondary Affiliation: University of Western Australia, AUS, Australia
Country of Publication: United States
Secondary Affiliation: GeoRef, Copyright 2017, American Geosciences Institute.
Update Code: 201604
Close Modal

or Create an Account

Close Modal
Close Modal