Title: A new method for the derivation of the closed nets in the phase diagram space of multisystems. I. The absent phase substitution method

Author(s): Hu J, Yin H, Duan Z

Source: JOURNAL OF METAMORPHIC GEOLOGY 22 (5): 413-425 JUN 2004

Document Type: Article

Language: English

Abstract: A new convenient combinatorial method is developed here to derive the invariant points in multisystem closed nets - the absent phase substitution (APS) method. It substantially simplifies the derivation of the closed nets in multisystems with many components and phases. For the multisystems whose total phase number (N-PS) less than or equal to twice the number of the absent phases (m) in an invariant assemblage, the method can yield regular closed nets with or without globally absent phases; for other multisystems, the method can yield the regular closed nets with globally absent phases. As examples, the APS method was used to predict: (1) the regular closed nets of unary to quinary n + 4-phase multisystems, unary 6-phase multisystem and ternary 8-phase multisystem; (2) the basic properties of the regular closed nets of the quaternary and quinary multisystems with n + 4 and n + 5 phases. Two multisystems were chosen to demonstrate how to select a realistic closed net from the numerous possible closed nets of a complex multisystem, and how to derive a realistic partially closed-net, closed-net-diagram and the related realistic straight-line-net-diagram. Comparisons of our APS method for the derivation of complicated closed nets with other methods indicate that this method is much simpler and more efficient.

Author Keywords: closed net; invariant point; multisystem; phase diagram; the absent phase substitution method

KeyWords Plus: ALUMINA-SILICA-WATER; N&K K GREATER; TOPOLOGICAL RELATIONSHIPS; INVARIANT POINTS; WORKING MODEL; COMBINATION PRINCIPLE; MINERAL ASSEMBLAGES; COMPLETE SYSTEMS; PELITIC SCHISTS; TERNARY-SYSTEMS

Addresses: Hu J (reprint author), Chinese Acad Sci, Key Lab Mineral Resources, Inst Geol & Geophys, Beijing, 100029 Peoples R China
Chinese Acad Sci, Key Lab Mineral Resources, Inst Geol & Geophys, Beijing, 100029 Peoples R China
Chengdu Univ Sci & Technol, Coll Mat & Biol Engn, Chengdu, 610059 Peoples R China
Univ Calif San Diego, Dept Chem, La Jolla, CA 92129 USA

E-mail Addresses: duanzhenhao@yahoo.com

Publisher: BLACKWELL PUBLISHING LTD, 9600 GARSINGTON RD, OXFORD OX4 2DG, OXON, ENGLAND

Subject Category: GEOLOGY

IDS Number: 832SC