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Non-ideal interactions in calcic amphiboles and their bearing on amphibole-plagioclase thermometry

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Abstract

Amphibole thermodynamics are approximated with the symmetric formalism (regular solution model for within-site non-ideality and a reciprocal solution model for cross-site-terms) in order to formulate improved thermometers for amphibole-plagioclase assemblages. This approximation provides a convenient framework with which to account for composition-dependence of the ideal (mixing-on-sites) equilibrium constants for the equilibria:

  1. A)

    edenite+4quartz=tremolite+albite

  2. B)

    edenite+albite=richterite+anorthite

For A and B all possible within-site and cross-site interactions among the species □−K−Na−Ca−Mg−Fe2+−Fe3+−Al−Si on the A, M4, M1, M3, M2 and T1 amphibole crystallographic sites were examined. Of the 36 possible interaction energy terms, application of the symmetric formalism results in a dramatic simplification to eight independent parameters. Plagioclase nonideality is modelled using Darken's quadratic formalism. We have supplemented an experimental data set of 92 amphibole-plagioclase pairs with 215 natural pairs from igneous and metamorphic rocks in which the pressure and temperature of equilibration are well constrained. Regression of the combined dataset yields values for the eight interaction parameters as well as for apparent enthalpy, entropy and volume changes for each reaction. These parameters are used to formulate two new thermometers, which perform well (±40°C) in the range 400–1000°C and 1–15 kbar over a broad range of bulk compositions, including tschermakitic amphiboles from garnet amphibolites which caused problems for the simple thermometer of Blundy and Holland (1990). For silica-saturated rocks both thermometers may be applied: in silica-undersaturated rocks or magmas thermometer B alone can be applied. An improved procedure for estimation of ferric iron in calcic amphiboles is presented in the appendix.

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References

  • Abraham K, Hörmann PK, Raith MK (1974) Progressive metamorphism of basic rocks from the southern Hohe Tauern area, Tyrol (Austria). Neues Jahrb Mineral Abh 122:1–35

    Google Scholar 

  • Apted MJ, Liou JG (1983) Phase relations among greenschist, epidote-amphibolite, and amphibolite in a basaltic system. Am J Sci 283-A:328–354

    Google Scholar 

  • Arculus RJ, Wills KJA (1980) The petrology of plutonic blocks and inclusions from the Lesser Antilles Island Arc. J Petrol 21:743–799

    Google Scholar 

  • Bacon CR, Duffield WA (1981) Late Cenozoic rhyolites from the Kern Plateau, Southern Sierra Nevada, California. Am J Sci 281:1–34

    Google Scholar 

  • Baker AJ, Droop GTR (1983) Grampian metamorphic conditions deduced from mafic granulites and sillimanite-K-feldspar gneisses in the Dalradian of Glen Muick, Scotland. J Geol Soc London 140:489–497

    Google Scholar 

  • Beard JS (1990) Partial melting of metabasites in the contact aureoles of gabbroic plutons in the Smartville Complex, Sierra Nevada, California. Geol Soc Am Mem 174:303–313

    Google Scholar 

  • Binns RA (1965a) The mineralogy of metamorphosed basic rocks from the Willyama Complex, Broken Hill district, New South Wales. 1. Hornblendes. Mineral Mag 35:306–326

    Google Scholar 

  • Binns RA (1965b) The mineralogy of metamorphosed basic rocks from the Willyama Complex, Broken Hill district, New South Wales. II. Pyroxenes, garnets, plagioclases, and opaque oxides. Mineral Mag 35:561–587

    Google Scholar 

  • Blundy JD, Holland TJB (1990) Calcic amphibole equilibria and a new amphibole-plagioclase geothermometer. Contrib Mineral Petrol 104:208–224

    Google Scholar 

  • Blundy JD, Holland TJB (1992) “Calcic amphibole equilibria and a new amphibole-plagioclase geothermometer” — reply to the comment of Poli and Schmidt. Contrib. Mineral Petrol 111:278–282

    Google Scholar 

  • Blundy JD, Sparks RSJ (1992) Petrogenesis of mafic inclusions in granitoids of the Adamello Massif, Italy. J Petrol 33:1039–1104

    Google Scholar 

  • Burton KW, O'Nions RK (1990) The timescale and mechanism of granulite formation at Kurunegala, Sri Lanka. Contrib Mineral Petrol 106:66–89

    Google Scholar 

  • Burton KW, Boyle AP, Kirk WL, Mason R (1989) Pressure, temperature and structural evolution of the Sulitjelma fold-nappe, central Scandinavian Caledonides. In: Daly JS, Cliff RA, Yardley BWD (eds) Evolution of metamorphic belts. Geol Soc London Spec Publ 43, pp 391–411

  • Carney JN, Treloar PJ, Carton CM, Crow MJ, Evans JA, Simango S (1991) Deep crustal granulites with migmatitic and mylonitic fabries from the Zambezi Belt, northeastern Zimbabwe. J Metamorphic Geol 9:461–479

    Google Scholar 

  • Carroll MR, Wyllie PJ (1989) Experimental phase relations in the system tonalite-peridotite-H2O at 15 kbar; implications for assimilation and differentiation processes near the crust-mantle boundary. J Petrol 30:1351–1382

    Google Scholar 

  • Carroll MR, Wyllie PJ (1990) The system tonalite-H2O at 15 kbar and the genesis of calc-alkaline magmas. Am Mineral 75:345–357

    Google Scholar 

  • Conrad WK, Nicholls IA, Wall VJ (1988) Water-saturated and undersaturated melting of metaluminous and peraluminous crustal compositions at 10 kbar: evidence for the origin of silicic magmas in the Taupo volcanic zone, New Zealand, and other occurrences. J Petrol 29:765–803

    Google Scholar 

  • Cooper AF, Lovering JF (1970) Greenschist amphiboles from Haast Riber, New Zealand. Contrib Mineral Petrol 27:11–24

    Google Scholar 

  • d'Arco P, Maury RC, Westercamp D (1981) Geothermometry and geobarometry of a cumingtonite-bearing dacite from Martinique, Lesser Antilles. Contrib Mineral Petrol 77:177–184

    Google Scholar 

  • Deer WA, Howie RA, Zussman J (1963) Chain silicates. Rock-forming minerals, vol 2. Longman, Harlow, England

    Google Scholar 

  • Droop GTR (1983) Pre-Alpine eclogites in the Pennine Basement Complex of the Eastern Alps. J Metamorphic Geol 1:3–12

    Google Scholar 

  • Droop GTR (1985) Alpine metamorphism in the south-east Tauern Window, Austria. 1. P-T variations in space and time. J Metamorphic Geol 3:371–402

    Google Scholar 

  • Engel AEJ, Engel CG (1962) Hornblendes formed during progressive metamorphism of amphibolites. Northwest Adirondack Mountains, New York. Geol Soc Am Bull 73:1499–1514

    Google Scholar 

  • Ewart A, Taylor SR (1969) Trace element geochemistry of the rhyolitic volcanic rocks. Central North Island, New Zealand. Contrib Mineral Petrol 22:127–146

    Google Scholar 

  • Wart A, Hildreth W, Carmichael ISE (1975) Quaternary acid magma in New Zealand. Contrib Mineral Petrol 51:1–27

    Google Scholar 

  • Ferry JM, Mutti LJ, Zuccala GJ (1987) Contact metamorphism/hydrothermal alteration of Tertiary basalts from the Islc of Skye, northwest Scotland. Contrib Mineral Petrol 95:166–181

    Google Scholar 

  • Ghent ED, Stout MZ, Raeside RP (1983) Plagioclase-clinopyroxene-garnet-quartz equilibria and the geobarometry and geothermometry of garnet amphibolites from Mica Creek, British Columbia. Can J Earth Sci 20:699–706

    Google Scholar 

  • Glassley WE, Sorensen K (1980) Constant Ps-T amphibolite to granulite facies transition in Agto (West Greenland) metadolerites: implications and applications. J Petrol 21:69–105

    Google Scholar 

  • Graham CM (1974) Metabasite amphiboles of the Scottish Dalradian. Contrib Mineral Petrol 47:165–185

    Google Scholar 

  • Graham CM, Navrotsky A (1986) Thermochemistry of the tremolite-edenite amphiboles using fluorine analogues, and applications to amphibolite-plagioclase-quartz equilibria. Contrib Mineral Petrol 93:18–32

    Google Scholar 

  • Graham CM, Powell R (1984) A garnet-hornblende geothermometer: calibration, testing and application to the Pelona Schist, Southern California. J Metamorphic Geol 2:31–21

    Google Scholar 

  • Grambling JA, Williams ML, Smith RF, Mawer CK (1989) The role of crustal extension in the metamorphism of Proterozoic rocks in northern New Mexico. Geol Soc Am Spec Pap 235:87–110

    Google Scholar 

  • Green TH, Pearson NJ (1985) Experimental determination of REE partition coefficients between amphibole and basaltic to andesitic liquids at high pressure. Geochim Cosmochim Acta 49:1465–1468

    Google Scholar 

  • Hansen VL (1992) P-T evolution of the Teslin suture zone and Cassiar tectonites, Yukon, Canada: evidence for A-and B-type subduction. J Metamorphic Geol 10:239–263

    Google Scholar 

  • Harley S (1988) Proterozoic granulites from the Rauer Group, East Antarctica. I. Decompressional pressure-temperature paths deduced from mafic and felsic gneisses. J Petrol 29:1059–1095

    Google Scholar 

  • Harte B, Graham CM (1975) The graphical analysis of greenschist to amphibolite facies mineral assemblages in metabasites. J Petrol 16:347–370

    Google Scholar 

  • Heiken G, Eichelberger JC (1980) Eruptions at Chaos Crags, Lassen Volcanic National Park, California. J Volcanol Geothermal Res 7:443–481

    Google Scholar 

  • Helz RT (1973) Phase relations of basalts in their melting range at P H2O=5 kbar as a function of oxygen fugacity. I. Mafic phases. J Petrol 14:249–302

    Google Scholar 

  • Helz RT (1976) Phase relations of basalts in their melting range at P H2O=5 kbar as a function of oxygen fugacity. II. Melt compositions. J Petrol 17:139–193

    Google Scholar 

  • Henry DJ, Dokka RK (1992) Metamorphic evolution of exhumed middle to lower crustal rocks in the Mojave extensional belt, southern California, USA. J Metamorphic Geol 10:347–364

    Google Scholar 

  • Hietanen A (1974) Amphibole pairs, epidote minerals, chlorite, and plagioclase in metamorphic rocks, northern Sicrra Nevada, California. Am Mineral 59:22–20

    Google Scholar 

  • Holland TJB (1990) Activities of components in omphacitic solid solutions: an application of Landau theory to mixtures. Contrib Mineral Petrol 105:446–453

    Google Scholar 

  • Holland TJB, Powell R (1990) An enlarged and updated internally consistent dataset with uncertainties and correlations: the system K2O−Na2O−CaO−MgO−MnO−FeO−Fe2O3−Al2O3−TiO2−SiO2−C−H2−O2. J Metamorphic Geol 8:89–124

    Google Scholar 

  • Holland TJB, Powell R (1992) Plagioclase feldspars: activity-composition relations based upon Darken's Quadratic Formalism and Landau theory. Am Mineral 77:53–61

    Google Scholar 

  • Holloway JR, Burnham CW (1972) Melting relations of basalt with equilibrium water pressure less than total pressure. J Petrol 13:1–29

    Google Scholar 

  • Janardhan AS, Newton RC, Hansen EC (1982) The transformation of amphibolite facies gneiss to charnockite in southern Karnataka and northern Tamil Nadu, India. Contrib Mineral Petrol 79:130–149

    Google Scholar 

  • Jen LS, Kretz R (1981) Mineral chemistry of some mafic granulites from the Adirondack region. Can Mineral 19:479–491

    Google Scholar 

  • Jenkins DJ (1989) Experimental determination of the Al content of tremolitic amphiboles coexisting with diopside, anorthite and quartz (abstract). Geol Soc Am Program Abstr 21:A157

  • Jenkins DJ (1990) Thermochemical data for alumino-tschermakite from compositional reversals of the Al content in amphiboles in the system H2O−CaO−MgO−Al2O3−SiO2 (abstract). Geol Soc Am Program Abstr 22:A168

  • John BE, Blundy JD (1993) Emplacement-related deformation of granitoid magmas, southern Adamello Massif, Italy. Geol Soc Am Bull (in press)

  • Johnson MC, Rutherford MJ (1989a) Experimental calibration of an aluminium-in-hornblende geobarometer applicable to calcalkaline rocks. Geology 17:837–841

    Google Scholar 

  • Johnson MC, Rutherford MJ (1989b) Experimentally determined conditions in the Fish Canyon Tuff, Calorado, magma chamber. J Petrol 30:711–737

    Google Scholar 

  • Kohn MJ, Spear FS (1989) Empirical calibration of geobarometers for the assemblage garnet+hornblende+plagioclase+quartz. Am Mineral 74:77–84

    Google Scholar 

  • Kohn MJ, Spear FS (1990) Two new geobarometers for garnet amphibolites, with applications to southeastern Vermont. Am Mineral 75:89–96

    Google Scholar 

  • Kretz R (1977) Distribution of Mg, Fe2+, and Mn in some calcic pyroxene-hornblende-biotite-garnet gneisses and amphibolites from the Grenville Province. J Geol 86:599–619

    Google Scholar 

  • Krogh EJ (1980) Compatible P-T conditions for eclogites and surrounding gneisses in the Kristiansund area, western Norway. Contrib Mineral Petrol 75:387–393

    Google Scholar 

  • Labotka TC (1987) The garnet + hornblende isograd in calcic schists from an andalusite-type regional metamorphic terrain, Panamint Mountains, California. J Petrol 28:323–354

    Google Scholar 

  • Laird J (1980) Phase equilibria in mafic schist from Vermont. J Petrol 21:1–37

    Google Scholar 

  • Laird J, Albee AL (1981) Pressure, temperature, and time indicators in mafic schist: their application to reconstructing the polymetamorphic history of Vermont. Am J Sci 281:127–175

    Google Scholar 

  • Liou JG, Ho CO, Yen TP (1975) Petrology of some glaucophane schists and related rocks from Taiwan. J Petrol 16:80–109

    Google Scholar 

  • Mengel FC (1983) Chemistry of coexisting mafic minerals in granulite facies amphibolites from West Greenland: clues to conditions of metamorphism. Neues Jahrb. Mineral Abh 147:315–340

    Google Scholar 

  • Mengel FC, Rivers T (1991) Decompression reactions and P-T conditions in high grade rocks, northern Labrador: P-T-t paths from individual samples and implications for carly Proterozoic tectonic evolution. J Petrol 32:139–167

    Google Scholar 

  • Mukherjee A, Bhattacharya A, Chakraborty S (1986) Convergent phase equilibria at the Massif anorthosite-granulite interface near Bolangir, Orissa, India and thermal evolution of a part of the Indian Shield. Precambrian Res 34:69–104

    Google Scholar 

  • Nixon GT (1988) Petrology of the younger andesites and dacites of Iztaccihuatl Volcano, Mexico. I. Disequilibrium phenocryst assemblages as indicators of magma chamber processes. J Petrol 29:213–264

    Google Scholar 

  • Oba T (1980) Phase relations in the tremolite-pargasite join. Contrib Mineral Petrol 71:247–256

    Google Scholar 

  • Oba T, Yagi K (1987) Phase relations on the actinolite-pargasite join. Petrol 28:23–36

    Google Scholar 

  • Oberti R, Ungaretti L, Cannillo E, Hawthorne FC (1992) The behaviour of Ti in amphiboles. I. Four- and six-coordinate Ti in richterite. Eur J Mineral 4:425–439

    Google Scholar 

  • Oliver GJH (1977) Feldspathic hornblende and garnet granulites and associated pegmatites from Doubtful Sound, Fiordland, New Zealand. Contrib Mineral Petrol 65:111–121

    Google Scholar 

  • Pattison DRM (1991) Infiltration-driven dehydration and anatexis in granulite facies metagabbro, Grenville Province, Ontario, Canada. J Metamorphic Geol 9:315–332

    Google Scholar 

  • Pawley AR (1989) Experimental studies of the structure, stability and thermochemistry of amphiboles in the systems Na2O−MgO−Al2O3−SiO2−H2O and Na2O−MgO−CaO−SiO2−H2O (unpublished). PhD thesis, Univ Edinburgh, Scotland

  • Pederson AK, Hald N (1982) A commingtonite-porphyrite dacite with amphibole xenoliths from the Tertiary central volcano at Króksfjördur, Iceland, Lithos 15:137–159

    Google Scholar 

  • Pendlebury K (1985) The compositional relationships in amphibole paragenesis. 1. The Red Hills Igneous Complex, New Hampshire, USA. 2. Synthetic systems (unpublished). PhD thesis, Univ Manchester, England

  • Poli S (1991) Reaction spaces and P-T paths: from amphibole eclogite to greenschist facies in the Austroalpine domain (Oetztal Complex). Contrib Mineral Petrol 106:399–416

    Google Scholar 

  • Poli S (1993) The amphibolite-eclogite transformation: an experimental study on basalt. Am J Sci 293:1061–1107

    Google Scholar 

  • Poli S, Schmidt MW (1992) A comment on “Calcic amphibole equilibrai and a new amphibole-plagioclase thermometer” by JD Blundy and TJB Holland (Contributions to Mineralogy and Petrology 1990, vol 104, p 208–224). Contrib Mineral Petrol 111:273–282

    Google Scholar 

  • Powell R (1977) Activity-composition relationships for crystalline solutions. In: Fraser DG (ed) Thermodynamics in geology. D Reidel, Dordrecht, pp 57–65

    Google Scholar 

  • Powell R (1987) Darken's quadratic formalism and the thermodynamics of minerals. Am Mineral 72:1–11

    Google Scholar 

  • Powell R, Holland TJB (1993) On the formulation of simple mixing models for complex phases. Am Mineral 78:1174–1180

    Google Scholar 

  • Richardson SW, Powell R (1976) Thermal causes of the Dalradian metamorphism in the central Highlands of Scotland. Scott J Geol 12:237–268

    Google Scholar 

  • Robinson P, Schumacher JC, Spear FS (1982) Formulation of electron probe analyses. In: Veblen DR, Ribbe PH (eds) Amphiboles: petrology and experimental phase relations. (Reviews in Mineralogy 9B) Mineral Soc Am, Washington, DC, pp 6–9

    Google Scholar 

  • Russ-Nabelek C (1989) Isochemical contact metamorphism of mafic schist, Laramie Anorthosite Complex, Wyoming: amphibole compositions and reactions. Am Mineral 74:530–548

    Google Scholar 

  • Rutherford MJ, Devine JD (1988) The May 18, 1980, eruption of Mount St. Helens. 3. Stability and chemistry of amphibole in the magma chamber. J Geophys Res 93:11949–11959

    Google Scholar 

  • Rutherford MJ, Sigurdsson H, Carey S, Davis A (1985) The May 18, 1980 eruption of Mount St. Helens. I. melt composition and experimental phase equilibria. J Geophys Res 90:2929–2947

    Google Scholar 

  • Schmidt MW (1992) Amphibole composition in tonalite as a function of pressure: an experimental calibration of the Al-in-hornblende barometer. Contrib Mineral Petrol 110:304–310

    Google Scholar 

  • Selverstone J, Spear FS, Franz G, Morteani G (1984) High pressure metamorphism in the SW Tauern Window, Austria: P-T paths from hornblende—kyanite—staurolite schists. J Petrol 25:501–531

    Google Scholar 

  • Simmons EC, Lindsley DH, Papike JJ (1974) Phase relations and crystallisation sequence in a contact metamorphosed rock from the Gunflinf Iron Formation, Minnesota. J Petrol 15:539–565

    Google Scholar 

  • Sisson TW, Grove TL (1993) Experimental investigations of the role of H2O in calc-alkaline differentiation and subduction zone magmatism. Contrib Mineral Petrol 113:143–166

    Google Scholar 

  • Spear FS (1980) NaSi−CaAl exchange equilibrium between plagioclase and amphibole: an empirical model. Contrib Mineral Petrol 72:33–41

    Google Scholar 

  • Spear FS (1981) An experimental study of hornblende stability and compositional variability in amphibolites. Am J Sci 281:697–734

    Google Scholar 

  • Spear FS (1982) Phase equilibria of amphibolites from the Post Pond volcanics, Mount Cube quadrangle, Vermont. J Petrol 23:383–426

    Google Scholar 

  • Spear FS, Kimball C (1984) RECAMP — a Fortran IV program for estimating Fe3+ contents in amphiboles. Comp Geosci 10:317–325

    Google Scholar 

  • Spulber SD, Rutherford MJ (1983) The origin of rhyolite and plagiogranite in oceanic crust: an experimental study. J Petrol 24:1–25

    Google Scholar 

  • Stoddard EF (1985) Zoned plagioclase and the breakdown of hornblende on pyroxene amphibolites. Can Mineral 23:195–204

    Google Scholar 

  • Tella S, Eade KE (1986) Occurrence and possible tectonic significance of high-pressure granulite fragments in the Tulemalu fault zone, District of Keewatin, NWT, Canada. Can J Earth Sci 23:1950–1962

    Google Scholar 

  • Thompson PH, Leclair AD (1987) Chloritoid-hornblende assemblages in quartz-muscovite pelitic rocks of the Central Metasedimentary Belt, Grenville Province, Canada. J Metam Geol 5:415–436

    Google Scholar 

  • Triboulet C (1992) The (Na−Ca) amphibole—albite—chlorite—epidote—quartz geothermobarometer in the system S−A−F−M−C−N−H2O. 1. An empirical calibration. J Metamorphic Geol 10:545–566

    Google Scholar 

  • Whitney JA, Stormer JC (1985) Mineralogy, petrology, and magmatic conditions from the Fish Canyon Tuff, central San Juan volcanic field, Colorado. J Petrol 26:726–762

    Google Scholar 

  • Wood BJ, Nicholls J (1978) The thermodynamic properties of reciprocal solid solutions. Contrib Mineral Petrol 66:389–400

    Google Scholar 

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Holland, T., Blundy, J. Non-ideal interactions in calcic amphiboles and their bearing on amphibole-plagioclase thermometry. Contr. Mineral. and Petrol. 116, 433–447 (1994). https://doi.org/10.1007/BF00310910

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