Heat Capacities and Thermodynamic Functions for Beryl, Beralrsiuotr
American Mineralogist, Volume 7I, pages 557-568, 1986 Heat capacitiesand thermodynamicfunctions for beryl, BerAlrSiuOtr, phenakite, BerSiOn,euclase, BeAlSiOo(OH)' bertranditeo BeoSirOt(OH)r,and chrysoberyl' BeAl2Oa B. S. HnluNcw.q,Y U.S. GeologicalSurvey, Reston, Y irgrnia22092 M. D. B.nnroN Departmentof Earthand SpaceSciences, University of California,Los Angeles,Los Angeles,California 90024 R. A. Ronrn, H. T. HLsnr.roN, Jn. U.S. GeologicalSurvey, Reston, Y irginia22092 Ansrru,cr The heat capacities of beryl, phenakite, euclase,and bertrandite have been measured betweenabout 5 and 800 K by combined quasi-adiabaticcryogenic calorimetry and dif- ferential scanningcalorimetry. The heat capacitiesof chrysoberylhave beenmeasured from 340 to 800 K. The resulting data have been combined with solution and phase-equilibrium experimentaldata and simultaneouslyfit using the program pHAS2oto provide an internally consistent set of thermodynamic properties for several important beryllium phases.The experimentalheat capacitiesand tablesof derived thermodynamic propertiesare presented in this report. The derived thermodynamic properties at I bar and 298.15 K for the stoichiometric beryllium phasesberyl, phenakite, euclase,and bertrandite are entropies of 346.7 + 4.7, 63.37+0.27,89.09+0.40, andl72.l+0.77 J/(mol'K),respectively,andGibbsfree energiesof formation(elements) of -8500.36 + 6.39, -2028.39 + 3.78, -2370.17 + 3.04, and -4300.62 + 5.45 kJlmol, respectively,and, -2176.16 + 3.18kJ/mol for chrysoberyl. The coefficientscr to c, of the heat-capacityfunctions are as follows: valid phase ct c2 c, x 105 c4 c, x 10-6 range beryl 1625.842 -0.425206 12.0318 -20 180.94 6.82544 200-1800K phenakite 428.492 -0.099 582 1.9886 -5 670.47 2.0826 200-1800K euclase 532.920 -0.150729 4.1223 -6726.30 2.1976 200-1800K bertrandite 825.336 -0.099 651 -10 570.31 3.662r7200-1400 K chrysoberyl 362.701 -0.083 527 2.2482 -4033.69 -6.7976 200-1800K whereC!: cr * ctT + crT2 * coT-os* crT-2and Zisinkelvins.
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