Low-Temperature Heat-Capacities and Derived Thermodynamic Properties
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Anerican Mineralogist, Volume 70, pages 249-260, I9B5 Low-temperature_heat-capacitiesand derivedthermodynamic properties of anthophyllite,diofside, enstatite,bronzite, and wollast'onitt Kn.nrern M. Knupr,ll D ep artment of Ge o scienc e s The Pennsylaania State Unioersity U niuersity P ark, Pennsyluania I 6802 RIcnc,RD A. Ronn, Bnucn S. HnMrNcw,qy U.S. Geological Suruey Reston, Virginia 22092 Dnnnrr,r, M. Knnnrcr D ep ar tment of Ge o scienc es The Pennsyloania State Uniuersity U niuersity P ark, P ennsyluania I 6802 ,c.NDJUN Iro2 The James Franck Institute The Uniuersity of Chicago Chicago, Illinois 6063 7 Abstract The heat capacitiesfor magnesio-anthophyllite,diopside, synthetic enstatite, bronzite, and wollastonite were measuredbetween 5 and 385 K by use of an adiabatic calorimeter.The entropy change si* - s3, in f(mol' K), is 538.9+2-7 for magnesio-anthophyllite [Mgu..Feo.rsiEo22(oH)2], 142.7+o.2 for diopside, 66.27+o.ro for synthetic ensiatite (MgSior), 69.04+0.10for bronzite(Mgo.rrFeo.rrSior), and 8r.69+0.r2 for wollastonite.The heat capacity, ci, for magnesio-anthophyllite,corrected to a composition of pure Mg- anthophyllite [Mgrsiroz(oH)r], resultsin a sles - sfi valueof 537.o*2.7/(mol.K). These resultsrepresent only the entropy calculatedfrom the measuredheat capacities.No configu- rational entropy wasadded. Although our Ci values for diopside and wollastonite differ significantly from those of previousstudies, especially at cryogenictemperatures, our entropiesat 298.15K are in close agreementwith the commonly acceptedvalues. Schottky heat capacity anomalieswere ob- servedbelow 25 K for magnesio-anthophyllite,diopside, and bronzite. The contribution of the magneticentropy arising from the interaction of Fe2+ with the ligand ficld of the crystals is discussed. Introduction (1932)also measuredthe Cfi of wollastonite over several, The previouslyaccepted entropies for diopsideand wol- often narrow, temp€ratureintervals between9 and 3(X K. lastonite at 298.15K were basedon a limited number of Prior to this study,low-temperature Ci data for magnesio- low-temperature Cfl measurements.King (1957) and anthophyllite and enstatitewere nonexistent,and heat ca- Wagner (1932)reported Ci valuesfor diopsidebetween 50 pacity measurementsby Kelley (1943)between 52 and 296 and 300 K and between20 and 40 K, respectively.Wagner K for a poorly characterizedsample of clinoenstatitewere usedto estimatethe thermodynamicproperties of enstatite. r Present address: GeosciencesResearch and Engineering De- Reliable valuesfor the entropiesof thesephases are criti- partrnent, Battelle, Pacific Northwest Laboratories, Richland, cally important to calculatingthe high-temperaturestabili- Washington99352. ty of these minerals and the metamorphic and igneous 2 Deceased. equilibriainvolving them. 0003-{04xl85/03O44249$02.W 249 250 KRUPKA ET AL.: LOW-TEMPERATURE HEAT CAPACITIES and Burn- Table 1. Chemical analyses of samples used in low-temperature hydrouspyribole structures(Veblen et al., 19'17; Veblen of heat capacity measurements ham, l978a,b).The magnesio-anthophyllitesample is composed at least95 percent(by volume)double chain material and approxi- Hotlastonited percent wider chains (Veblen, wdtten communication, flagnesio- - Diopsided -Enstatite.* Bronzite mately 5 anthophyllited (synthetlc)" (natural )c 1978).The distribution of disordered,wider chain material is not homogeneousin the sample. A description of the intergrowth 59.4 59.2n 55.86 51.8 Si 02 structuresin this anthophyllite samplewas given by Veblen and Ti 02 0.I 0.00 0.00 Buseck(1979). 0.00 <0.05 Al 203 0.95 0.20 CrZ03 0.1r 0.10 Diopside, CaMg(SiO) 2 0.05" Fe203 0.57 0.09 The white diopside samplewas collectedby one of us (DMK) (1970), Fe0 5.7 0,48 o.l2e 10.1 1e from an area near Zermztt, Switzerlandstudied by Bearth in the experimentalstudy of Slaughteret al' (1975)' fi90 30.2 18.0 40.80 3I.61 0.t2 and was used Examinationsby meansof X-ray diffraction and a petrogaphic Mn0 0.12 0.04 0,l9 0.00 microscopedid not reveal any impurities in the powdereddiop- Ni0 0.12 side.The chemicalcomposition given in Table I is in closeagree' Ca0 25,2 0.00 0.29 48.5 ment with the analysespresented by Slaughteret al. (1975)'The Na20 0.20 0.01 0.01 cell dimensionsgiven in Table 2 are in excellentagreernent with and Smith (1969)and in Kzo 0.07 0.02 0.0I the valuesfor diopsidepresentd by Borg the Joint Committeeof Powder Diffraction Standards(rcros) file Pzos 0.03 0,03 0.00 lI-654. coz 0,01 0.01 0.00 (0.01 H2o* 2.t 0.64 Bronzite, M g s.s5F es., 5SiOg Hzo- 0.22 0.08 The bronzite sample was describedby Huebner et al. (1979)' The calorimetricsample consisted of 3l pale-brown,single-crystal 1 : 100.52 100.I 0 100.20 98.82 100,49 Tota chips,that ranged in massfrom 0.19 to 1.65g. Optical examina- tion of each chip did not reveal any impurities.The composition aAnalyses completed by conbination of atomic absorption sPect'oscopy and of each chip was determined by electron-rnicroprobeanalysis stanlard wet-chemicaltechniques. See Shapi.o (1975) for a description of these analYtical techniques. using the method of Benceand Albee(1968). Multiple spot analy- DAveraqeof 84 spot probe analyses. gi,iiiqhiia-i"i-9i'ot'a totat oi 55 spot probe analvses fo.31 bronzite chips' sesof eachchip revealedno chemicalinhomogeneities within any dTotal iron as Fe20?. chemical composition for this eTotal iron as Feo,- single chip. A weighted-average sampleis givenin Table 1. Unit-cell dimensionswere measured for the most Mg- and Fe-rich bronzite chips, designatedK30 and K3l, respectively.The refinedcell constants(Table 2) are in good Minerals agreementwith those for bronzite as given in JCPDS patterns 19-605and 26-876. M agnesio -antho ph yllit e, M g6.sF e 6. 1 Si BO 2 z ( OH ) 2 gSiO The anthophyllite sample, designated'1.3.71.10, was collected by Synthetic enstotite, M 3 Prof. Peter Misch in the North Cascades at mile-marker 132.5 Enstatite crystals were prepared by growth from a lithium- along the North Cascades Highway (Washington Route 20) north vanadomolybdateflux using the method of Ito {1975).Residual of the eastern part of Lake Diablo. A small vein of light-green' flux was removedby solution with H2O in a sonic cleanerafter coarse-bladed anthophyllite was cut from the specimen, crushed, gentle crushing of the crystals. Further details are given by and sieved to the range of -35 to +100 mesh. Impurities were Kiupka (1984).Semi-quantitative emission spectroscopy analysis removed from the sample by using a Franz3 magnetic separator detected (maximal values): Li: 1100 ppm, Mo : 1200 ppm' : and heavyJiquid techniques. X-ray powder-diffraction methods Ni : 100 ppm, P : 910 ppm, V : 1500Ppm, and Zr l2O ppm' showed that the separated anthophyllite contained talc (<5%) as Microprobe results(Table 1) show that the syntheticenstatite is the only impurity. essentially pure, stoichiometric MgSiO3. Unit-cell dimensions The chemical analysis given in Table I is in close agreement weremeasured for two samplesof syntheticMgSiOr and are given with unpublished electron probe analyses provided by Prof. Misch in Table 2. Cell dimensionsof the calorimetricsample are in excel- and with other probe analyses completed during this study. Or- lent agreementwith those given by Ito (1975)for a similarly syn- thorhombic symmetry for the sample was confirmed by use of a thesizedenstatite. petrographic microscope. The unit-cell dimensions for the calori- given T,able 2, are in good agreement with the metric sample, in Wollastonite, CaSiOg values for synthetic, pure-Mg anthophyllite (Chernosky and sample from Willsboro, EssexCounty, New Autio, 1979) and for natural anthophyllite (Finger, 1970). The wollastonite Natural ScienceEstablishment' The anthophyllite sample was also tnalyznd for the presence of York, was purchasedfrom Wards The specimenwas crushed,sieved to the range of -35 to +100 mesh,and separatedby heavyJiquid techniques.X-ray diffraction and optical measurementson the final sampledid not reveal any 3 The use of trade namesis for descriptivepurposes only and impurities. Chemical analysesof the separatedwollastonite are doesnot imply endorsementby Battelle,Pacific Northwest Labo- given in Table 1. The refinedcell constants(Table 2) are in close ratories,U.S. GeologicSurvey, or The PennsylvaniaState Univer' agreementwith the valuesfor wollastonitegiven by Buergerand srty. Prewitt(1961). KRUPKA ET AL.: LOW-TEMPERATURE HEAT CAPACITIES 251 Table 2. Cell constantsfor samplesused in heat capacitymeasurements Magnesi o- Diopside -------Bronzite------ ------Enstatite------ tlol I astoni te anthophylI ite (natural) (synthetic) K30 K31 Ito-l lto-7 a (nm) 1.8536(3) 0.e749(1) 1.8250(3) 7.824e(2) r.8228(?l r.82re(2) 0.7e2s(1) b (nm) 1 TAAOr2\ 0.8925(I ) 0.8837(1) 0.8843(1) 0.8816(1) 0.8814(l) 0.7322(2) c (nn) o.5277(r) 0.52511(9) 0.5190(1) 0.51e3(l) 0.5180(1) 0.s178(1) 0.7069( r ) 90. 90' 90" 90" 90" 90. eo" 4'(2) B 90' rOso48.2,(e) 90' 90" 90' 90. 9s' 13.8'(e) 90' 90" 90' 90" 90' 90" 103"le'(l) v (nm3) 1.7606(4) 0.43966(8 ) 0.8370(2) 0.8380(2) 0.8325(2) 0.8316(2) 0.3e74(1) N 38 32 29 30 28 34 23 Note: Cell dimensionsgiven in nanometers(1 nm = l0 A). Numberin parenthesesis uncertainty in last digit. Cell dimensionswere measuredusing CuKcradiation. a N.ifilter, a scanning rate of 0.25o 20lmin, and BaFz (a = 0.61971t 0.0001 nm) as an internal standard. = N Numberof reflections used in'least-squares refinement program written by Applemanand Evans (1973). Apparatus and procedures [Mgu..Feo.rSi8O22(OH)2]by assumingthat 848.382g of Low-temperatureCi measurementswere made using the impure anthophyllite consist of I mole of magnesio- apparatusand techniquesdescribed by Robie and Heming- anthophyllite (802.900g) and 14.239g NaAlSi.O, glass, way (1972)and Robie et al.