FC-AFC-FCA and mixing modeler: A Microsoft® Excel© spreadsheet program for modeling geochemical differentiation of magma by crystal fractionation, crustal assimilation and mixing

Several petrological processes, such as (1) fractional crystallization (FC), (2) combined and decoupled fractional crystallization and assimilation (AFC and FCA), and (3) mixing processes, which modify the geochemical composition of the magma, are graphically programmed using Microsoft^(R) Excel^(C) spreadsheet on the basis of differentiation equations. The FC-AFC-FCA and mixing modeler is an interactive program that models the consequent theoretical vectors of FC, AFC, FCA, and mixing processes, which are frequently used in modern petrology. The program enables the user to export outputs of linear- or logarithmic-scaled bivariate diagrams and also rare earth elements (REE)- and multi-element spider diagrams of the modeling results. It also plots some classification diagrams as well as bivariate Harker variation diagrams. Because the program is interactive in nature, changes in any parameters are simultaneously updated onto all diagrams.

[1]  S. Banno,et al.  Crystal structure control in trace element partition between crystal and magma , 1977 .

[2]  P. Castillo.  An overview of adakite petrogenesis , 2006 .

[3]  G. Jenner,et al.  Trace element partition coefficients for clinopyroxene and phlogopite in an alkaline lamprophyre from Newfoundland by LAM-ICP-MS , 1996 .

[4]  M. Tatsumoto,et al.  Partition coefficients of Hf, Zr, and ree between phenocrysts and groundmasses , 1984 .

[5]  J. Blusztajn,et al.  The fingerprint of seawater circulation in a 500-meter section of ocean crust gabbros , 1999 .

[6]  H. Taylor.  The effects of assimilation of country rocks by magmas on 18O/16O and 87Sr/86Sr systematics in igneous rocks , 1980 .

[7]  T. Irvine,et al.  A Guide to the Chemical Classification of the Common Volcanic Rocks , 1971 .

[8]  D. McKenzie,et al.  Partial melt distributions from inversion of rare earth element concentrations , 1991 .

[9]  D. DePaolo.  A neodymium and strontium isotopic study of the Mesozoic calc‐alkaline granitic batholiths of the Sierra Nevada and Peninsular Ranges, California , 1981 .

[10]  H. Rollinson.  Using Geochemical Data: Evaluation, Presentation, Interpretation , 1993 .

[11]  C. Hawkesworth,et al.  Continental Basalts and Mantle Xenoliths , 1983 .

[12]  W. McDonough,et al.  Chemical and isotopic systematics of oceanic basalts: implications for mantle composition and processes , 1989, Geological Society, London, Special Publications.

[13]  R. W. Le Maitre,et al.  A Classification of igneous rocks and glossary of terms : recommendations of the International Union of Geological Sciences Subcommission on the Systematics of Igneous Rocks , 1989 .

[14]  M. Keskin,et al.  FC-modeler: a Microsoft ® Excel © spreadsheet program for modeling rayleigh fractionation vectors in closed magmatic systems , 2002 .

[15]  R. Powell.  Inversion of the assimilation and fractional crystallization (AFC) equations; characterization of contaminants from isotope and trace element relationships in volcanic suites , 1984, Journal of the Geological Society.

[16]  J. Pearce.  Role of the sub-continental lithosphere in magma genesis at active continental margins , 1983 .

[17]  S. Taylor,et al.  The geochemical evolution of the continental crust , 1995 .

[18]  S. Taylor,et al.  Geochemistry of eocene calc-alkaline volcanic rocks from the Kastamonu area, Northern Turkey , 1976 .

[19]  R. W. Le Maitre,et al.  A Chemical Classification of Volcanic Rocks Based on the Total Alkali-Silica Diagram , 1986 .

[20]  J. Strutt.  Scientific Papers: Theoretical Considerations respecting the Separation of Gases by Diffusion and Similar Processes , 2009 .

[21]  M. Barton,et al.  Geochemical effects of decoupled fractional crystallization and crustal assimilation , 1996 .

[22]  The interpretation of igneous rocks , 1979 .

[23]  Arnold Businger.  The structure of a program , 1985 .