Abstract
High temperature oxide melt solution calorimetry was used to study the energy associated with dislocations in quartz by comparing undeformed and deformed single crystals of synthetic quartz. Samples were deformed at 698 K, 1000–1500 MPa at a strain rate of 10−5 sec−1. Two sets of calorimetric measurements were made: (i) using a Pt capsule as a container for powdered sample, and (ii) using pellets made from sample powder without any container. For the first set of measurements, the undeformed sample with a dislocation density of enthalpy is sum of heat content H 973-H 295 and enthalpy of solution in molten lead borate at 973 K of 39.22 ± 1.00 kJ mol−1, while the sample deformed in the dislocation creep regime with a dislocation density of 6 × 1010 to 1 × 1011 cm−2 gave an enthalpy of 38.59 ± 0.78 kJ mol−1. For the second set of measurements the measured enthalpy of the undeformed sample was 38.87 ± 0.31 kJ mol−1, and that of a deformed sample with a dislocation density of 3 × 1010 to 1 × 1011 cm−2 was 38.24 ± 0.58 kJ mol−1.
The present study and previous theoretical calculations and estimates are consistent and suggest that the energy associated with dislocations in quartz is ∼ 0.6 ± 0.6 kJ mol−1 for a dislocation density of ∼ 1011 cm−2; a precise value is difficult to determine because of the overlapping errors. These results indicate that for geologically realistic dislocation densities, the maximum excess energy due to dislocations would be ∼ 0.5 kJ mol−1 for most minerals; the exact value would depend on the Burgers vector as well as the shear modulus.
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References
Aines RD, Kirby SH, Rossman GR (1984) Hydrogen speciation in synthetic quartz. Phys Chem Minerals 11:204–212
Birch F (1966) Compressibility; elastic constants. In: Clark SP Jr (ed) Handbook of Physical Constants, Geo Soc Am Memoir, vol 97, p 97–173, Geo Soc Am
Blum AE, Yund RA, Lasaga A (1990) The effect of dislocation density on the dissolution rate of quartz. Geochim Cosmochim Acta 54:283–297
Brantley SL, Crane SR, Crerar DA, Hellmann R, Stallard R (1986) Dislocation etch pits in quartz. In: Davis JA, Hayes KF (eds) Geochemical Processes at Mineral Surfaces, p 635–649, Am Chem Soc
Christian JW (1975) Transformations in Metals and Alloys. I. Equilibrium and General Kinetic Theory. 520 p, Pergamon Press, Oxford
Cygan RT, Casey WH, Boslough MB, Westrich HR, Carr MJ, Holdren GR (1989) Dissolution kinetics of experimentally shocked silicate minerals. Chem Geol 78:229–244
Gillet P, Gérard Y, Willaime C (1987) The calcite-aragonite transition: mechanism and microstructures induced by the transformation stresses and strain. Bull Mineral 110:481–496
Green HW II (1972) Metastable growth of coesite in highly strained quartz. J Geophys Res 77:2478–2482
Hemingway BS, Robie RA (1977) Enthalpies of formation of low albite (NaAlSi3O8), gibbsite (Al(OH)3), and NaAlO2; revised values for ΔH 0f,298 and ΔG 0f,298 of some aluminosilicate minerals. J Res US Geol Survey 5:413–429
Hemingway BS, Nitkiewicz A, Donahoe RJ (1988) Key values for the thermodynamic properties of geologic materials: I. the enthalpy of solution of quartz in hydrofluoric acid, a preliminary evaluation. US Dept Int Geol Survey, Open-file report 88–252
Hirth G, Tullis J (1992) Dislocation creep regimes in quartz aggregates. J Struct Geol 14:145–159
Hirth JP, Lothe J (1982) Theory of Dislocations. 857 p, John Wiley and Sons, New York
Hobbs BE, McLaren AC, Paterson MS (1972) Plasticity of single crystals of synthetic quartz. In: Heard HC, Borg IY, Carter NL, Raleigh CB (eds) Flow and Fracture of Rocks, Geophys Monogr Ser, v 16, p 29–53, AGU
Holdren GR, Casey WH, Westrich HR, Carr M, Boslough M (1988) Bulk dislocation densities and dissolution rates in a calcic plagioclase (abstract). Chem Geol 70:79
Karato S, Toriumi M, Fujii T (1982) Dynamic recrystallization and high-temperature rheology of olivine. In: Akimoto S, Manghnani MH (eds) High Pressure Research in Geophysics, p 171–189, Center for Academic Publications, Tokyo
Liddell NA, Phakey PP, Wenk H-R (1976) The microstructure of some naturally deformed quartzites. In: Wenk H-R (ed) Electron Microscopy in Mineralogy, p 419–427, Springer-Verlag
Linker MF, Kirby SH (1981) Anisotropy in the rheology of hydrolytically weakened synthetic quartz crystals. In: Carter NL, Friedman M, Logan JM, Stearns DW (eds) Mechanical Behavior of Crustal Rocks, Geophys Monogr Ser, v 24, p 29–48, AGU
Linker MF, Kirby SH, Ord A, Christie JM (1984) Effects of compression direction on the plasticity and rheology of hydrolytically weakened synthetic quartz crystals at atmosphere pressure. J Geophys Res 89:4214–4255
MacInnis IN, Brantley SL (1992) The role of dislocations and surface morphology in calcite dissolution. Geochim Cosmochim Acta 56:1113–1126
McLaren AC (1991) Transmission Electron Microscopy of Minerals and Rocks, 387 p, Cambridge University Press, Cambridge
McLaren AC, Cook RF, Hyde ST, Tobin RC (1983) The mechanism of the formation and growth of water bubbles and associated dislocation loops in synthetic quartz. Phys Chem Minerals 9:79–94
McLaren AC, Fitz Gerald JD, Gerretsen J (1989) Dislocation nucleation and multiplication in synthetic quartz: relevance to water weakening. Phys Chem Minerals 16:465–482
Murphy WM (1989) Dislocations and feldspar dissolution. Eur J Mineral 1:315–326
Murr LE, Hiskey JB (1981) Kinetic effects of particle-size and crystal dislocation density on the dichromate leaching of chalcopyrite. Metall Trans 12B:255–267
Natarajan M, Sarma TS, Ahluwalia JC, Rao CNR (1969) Thermal and particle size effects in magnesium oxide. Faraday Soc Trans 65:3088–3092
Navrotsky A (1977) Progress and new directions in high temperature calorimetry. Phys Chem Minerals 2:89–104
Newton-Howes JC, McLaren AC, Fleming RJ (1989) An investigation of the effects of hydroxyl concentration and bubble formation on the electrical conductivity of synthetic quartz. Tectonophys 158:335–342
Nicholas A, Poirier JP (1976) Crystalline plasticity and solid state flow in metamorphic rocks. 444 p, John Wiley, New York
Nitkiewicz A, Kerrick DM, Hemingway BS (1983) The effect of particle size on the enthalpy of solution of quartz: implications for phase equilibria and solution calorimetry. Program of the 1983 Annula Meeting, Geol Soc Am 653
Nord GL Jr, Heuer AH, Lally JS (1976) Pigeonite exsolution from augite. In: Wenk H-R (ed) Electron Microscopy in Mineralogy, p 220–227, Springer-Verlag
Poirier JP (1985) Creep of Crystals. 260 p, Cambridge University Press, Cambridge, New York
Savin SM, Hower J (1974) Calorimetric studies of the thermodynamic properties of clay minerals. API Research Project 145, Progress Report 4, Case Western Reserve University
Schmid SM, Paterson MS, Boland JN (1980) High temperature flow and dynamic recrystallization in Carrara marble. Tectonophys 65:245–280
Schott J, Brantley S, Crerar D, Guy C, Borcsik M, Willaime C (1989) Dissolution kinetics of strained calcite. Geochim Cosmochim Acta 53:373–382
Taylor K, Wells LS (1938) Studies of heat of solution of calcium and magnesium oxides and hydroxides. J Res National Bureau Standards 21:133–149
Titchener AL, Bever MB (1958) The stored energy of cold work. Prog Metal Phys 7:247–338
Tullis J (1983) Deformation of feldspars. In: Ribbe PH (ed) Feldspar Mineralogy, Reviews in Mineralogy, vol 2, p 297–323, Mineral Soc Am
Tullis TE, Tullis J (1986) Experimental rock deformation techniques. In: Hobbs BE, Heard HC (eds) Mineral and Rock Deformation: Laboratory Studies, Geophys Monogr Ser, v 36, p 297–324, AGU
Urai JL, Means WD, Lister GS (1986) Dynamic recrystallization of minerals. In: Hobbs BE, Heard HC (eds) Mineral and Rock Deformation: Laboratory Studies, Geophys Monogr Ser, v 36, p 161–199, AGU
Weast RC (1981) Handbook of Chemistry and Physics. p D45-D52, CRC Press, Florida
White S (1975) Tectonic deformation and recrystallization of oligoclase. Contrib Mineral Petrol 50:287–304
Wilson MJ (1975) Chemical weathering of some primary rock-forming minerals. Soil Sci 119:349–355
Wintsch RP, Dunning J (1985) The effect of dislocation density on the aqueous solubility of quartz and some geologic implications: a theoretical approach. J Geophys Res 90:3649–3657
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Liu, M., Yund, R.A., Tullis, J. et al. Energy associated with dislocations: A calorimetric study using synthetic quartz. Phys Chem Minerals 22, 67–73 (1995). https://doi.org/10.1007/BF00202466
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DOI: https://doi.org/10.1007/BF00202466