American Mineralogist Vol. 57, pp. 169-187 (1972) COMPOSITIONAL VARIATIONS IN SYNTHETIC TOPAZ Departmentof Geologg P. E. RosnNrlrlrrc, W ashingt on State Uniu ersitY I I 16I Pullman, W ashi'ngton Assrnecr series containing excessAI and tr'. In the natural series, stable in F-deficient assemblages,topaz hydrolyzes with XH"O decreasing temperature according to the equation AtSiO-F, * the fugaon dependent are AI,SiO.F,-,(OH)" + XIIF. Thus, topaz F/OH ratios cities of I{F and Hro which a,rebuffered by assemblagesof four phases including vapor, In the solid solution series stable in F-rich assemblages,Al"* and tro- substitute for Sia* and O* respectively. Where AI'* is not readily available anion substitutions may be eompensatedfor by tetrahedral vacancies. Isobarically univariant curves have been determined for topaz in assemblages with 1) quartz (or corundum), mullite (or pyrophyllite), vapor;2) quartz, AlFs' ,rapor; 3l corundum, AIFa (or ralstonite), vapor' ZtnyiLe appears below 500' C in silicatdeficient assdmblages. Application to naturallopaz-bearing assemblagesis limited because natural systemsare usually open with respectto the vapor phase. INrnoouctrox Until recentlyfew attemptshad beenmadeto study F/OH exchange in the silicatesexperimentally.In the past severalyears a number of studiesinvolving micas have appeared(e'9.,Noda and Ushio, 1964; Munoz, 1968; Munoz and Eugster, 1969; Rieder, 1971) but micas are structurally and compositionally complex and therefore, the results of these studies have been difrcult to interpret, and in some casesconflicting.The mineral I'opaz,AlzSiO+(F,OH)z is relatively simple both compositionallyand structurally and is well suited to serveas a model for F/O'H exchangein the silicates. Topazis a diagnosticproductof so-called"pneumatolytic"processes which are believedto be due to crystallizationfrom and reactionswith F-rich fluids derived from late-stage,residual magmas or from Fbearing minerals by F/OH exchangeduring regional metamorphism (Deer, Howie, and Zussman,1962)' Topaz occurs in greisensand with quartz pegmatitesassociatedwith granitic rocks in assemblages 169 r70 PHILIP E. NOSENBERG and other minerals including micas, tourmaline, etc. A knowledgeof the stability relations of topaz would help to define the range of physicalconditionsduringthe formationof theseassemblages. Furthermore, since a wide range in F/OH ratios has been observed(Deer, Howie, and Zussman,7g62; Ribbe and Rosenberg,1971), the composition of topaz may be a sensitiveindicator of environmentalconditions during its formation. In 1887Freidel and Sarasin (in Morey and Ingerson, 1gB7) synthesizedLopazby reacting a fluorosilicicacid solutionwith a mixture of silica and alumina at 500oc. since this first synthesistopaz has been preparedmany times under a wide range of experimentalconditions using a variety of starting materials. To date these studies have beenconcernedmainly with the synthesisof topaz (e.g.,MichelLeqy and Wyart, 1946; Schoberand Thilo, 1940; Coess,lgb5) or, more recently,with other minerals,the synthesisol lopaz beingpurely incidentalto the main purposeof the study (e.g.,Yoder and Eugsrer, 1955; Althaus, 1966). Despite theseexperimentalstudiesno attempt has yet beenmade to determinethe stability relations and compositional variations of topaz under a rangeof conditionssimulatingthose in natural environments. As a contribution to this problem topaz-bearingassemblages have been synthesizedin the quaternary system AlFs-Al2OB-SiOrHzOin the presenceof excesswater between350o and gb0oClargely at total pressuresof 2000 bars. Topaz equilibria under these conditions are believedto provide an adequatemodel for crystallization in some natural environments. This paper concernsvariations in the chemicalcompositionof synthetie topaz and their signifieanee. Detailed discussionof the thermal stability of topaz-bearingassemblages in the above system will be presentedin a later papernow in preparation. Expngtuowrel Dorerr,s Procedure Conventional hydrothermal equipment and techniques were used throughout this study. Most of the experiments were carried out in sealed gold tubes and cold-seal pr€ssure vessels; gold-lined Morey vessels were used in a few of the earlier experiments. fn order to test the influence of starting materials in experimental products, bulk compositions (Fig. l) were prepared in duplicate, as mechanical mixtures of reagent grade AI,O" or recrystallized A1(OH)". natural ouartz (Minas Gerais, Brazil) or Cab-O-Sil (amorphous silica) and AlF" which was used as the source of F in all mixtures. several compositionswere also prepared by mixing kaolinite (API No. 9, Mesa Alta, Calif.) and AlF" with enough quartz or ALO", where necessary,to give the required b,ulk composition. A series of early experiments t7r VANIATIONS IN TOPAZ ArFS At2o3 mullite p y r op h y l l i t e si02 Frc. 1. Anhydrous bulk compositions (mole per cent) of starting materials. Each composition represents two or more mixtures. Composition triangles show phase compatibilities in the system with ILO above 600'c. Note that topaz is represented only by end-member composition. 172 PHILIP E. ROSENBERG clusion. As a further check on equilibrium the F/OH ratio of topaz produced by direct synthesis was approached from two directions above 600"C using natural topaz having hieh aad low F/OH ratios as starting materials. These experiments will be discussedin detail in a later section. A series of experiments involving water-free, "dry" compositions resulted in the encrustation of the samples against the walls of the gold capsules; the capsules were etched and some gold was deposited within the samples. Although this phenomenon was not investigated, it appears to be due to the formation of a corrosive fluid which adheres to gold and quenches to an imperfect glassJike substance. These relations were never observed in the presence of water. P hase C h,aracteri,zation After quenching, products were identified by means of their X-ray powder diffraction patterns using Ni4ltered, Cu-radiation and where possible, by their optical properties. Topaz and AlF" were characterized by X-ray and optical measurements and by infra-red speetrophotometry. Tapaz (021) and (211) X-ray reflections, two of the three invariably observed, were measured against an internal standard, CdFr, which has a conveniently located reflectiou at 28.70' Cu Ka. Ralstonite (311)-spacingswere also measured against this peak. A20 values were obtained by averaging four or more measurements (scan rate, *',/min.) per reflection and are known within 0.005' 24. The (220)+pacing of AIFg was measured (scan rate, B'/min.) against a CdFs reflection at 56.7' Cu Ka; L20 values are based on averages of two or more measurements and are known to within 0.01' 20. Since individual topaz crystals could not be resolved under the polarizing microscope, mean refractive indicies ol topaz aggregates were measured in Nalight. Mean values are significant becauseof the rather low birefringence of topaz (and AIF) and the relative sensitivity of refractive index to variations in F/OII ratios. Mean values were also obtained for AlFa refractive indicies, although in many casesit was possible to resolve individual crystals optically. Measured values have a precision of +.002. For purposes of comparison with synthetic topaz mean refractive indicies were calculated for a seriesof natural samplesof known composition (Ribbe and Rosenberg, 1971) using the formula ,L : z\/ag-t (Van Valkenburg, 1961). The relationship of lu and of refractive index to the F-content in natural topaz have been determined by Ribbe and Rosenberg (1971). Variations in As and mean refractive index of AlF" as well as Aor of ralstonite with F/OII ratios are implied from data given in this paper. Infra-red spectrophotometry was used to study (OH)--stretching bands in topaz and AIFs. Samples were prepared using conventional KBr pellet techniques (Lyon, 1967) and run on a Beckman IR-8-infra-red spectrophotometer with a blank KBr pellet in the reference beam. ExlnnrusNrAl RESur,TS ANDTHErRIlrpr,tcerror.rs AlFs-Vapor Equilibria AlF3-vaporequilibria can serveas a simplifiedmodel of topaz-vapor equilibriain the systemAlFa-Al2O3-SiOz-HzO. X-ray, refractive index, and infra-red data indicate that AlFa hydrolyzeswith decreasingtemperatureby pariial replacementof F- by I73 VARIATIONSIN TOPAZ (oH)-. Direct evidenceof hydrolysis is provided by the infra-red absorptionpattern of AlFg after equilibration with water at 600"c and zbOobarswhich clearly showsthe presenceof an (OH)--stretching c) o ,c, c, -o .,L o a -o' I 3.O 3.5 Wovelength( ltl Frc. 2. Infra-red absorption pattern of hydrolyzed AlF"' 4.O t74 PHILIP E. ROSENBERG :- E 7OO @ J Y o o c,._. 600 E ,o o\-i 500 @ 4.70 468 466 484 a4r a 462 - 20s16 L22s(20717r122s1 ) | 56 ^l t52 I 48 t44 -28s16) A3x(28,o1r1on;1g 13111 Frc. 3. Variations in AtFe AD and ralstonite A-, X_ray measurements witb temperature. Open circles; topaz with AIF+"(OH)", quartz, vapor (Fig. 1, B and D). Filled circles; topaz with AIFF,(OE)", alumina, vapor Fig. l, E)-Triangles; ralstonite replares AIF*,(OH)". whenAlFs coexistswith topaz, quartz,and vapor (Fig. 3, opencircles). The maximum hydrolysisof AIFB in the former assemblage occursat about,600'C; at lower temperatures(OH)--bearing AlFs inverts to yalstonite,Al (OH, F) s (pyrochlorestructure), (Fig. B,triangles)which also hydrolyzeswith decreasingtemperature,as shown by Aerr measurements.The interventionof an additional phase,AlFr(OH) (P. H. Ribbe, personal communication),over a short temperatureinterval between600o and 575"C inclusive is neglectedhere but will be discussedin a later paper. Predictably, mean refractive indicies of (OH)--bearing AlFa increaseprogressivelywith decreasingA22evalues and temperatures, ranging from 1.379:t .001 for end-memberAlFs to 1.40b* .002 for hydroxyl-richAlFs. The hydrolysis of AlF3 may be expressedby the equation, AlF3 + XII"O: AIF,-,(OH)"+ XHF. Topaz, an aluminum fluoride,may be expectedto undergoa similar hydrolysisgivenby the equation. Al,SiOnF,+ X H,O : AlzSiO+Fz-"(OH)" + X HF. Thus, the F/oH ratios of AlFa and topaz dependon the fugacitiesof Htr'and Hso. These fugacitiesare fixed at a given temperatureand pressuredue to the bufreringcapacity of four-phaseassemblages (in- 175 VANIATIONS IN TOPAZ cluding vapor) in the quaternary system'The greaterextent of AlFs hydrolysis in the presenceof excessalumina (Fig. 3, filled symbols) than in the presenceof excesssilica (Fig. 3, open symbols) suggests The reaction that lnr is lower in alumina-rich assemblages. SiO,+4HF:SiFn+2H,O buffersthe fugacity of SiFein the system. Compositional Variabikty o! T opaz The relationshipbetweer Aozr and the F-content of topaz (Ribbe and Rosenberg,1971) can be assumedto hold only for synthetic samplesapproximatingnatural compositions.Early in this study, it was observedthat many synthetic topaz sampleshave mean refractive indicieslower than that of the F-rich end-member.Two distinct seriesof topaz compositionscan be distinguishedby comparingmean refractive indicies wth Ae21values (Fig. a). Synthetic topaz coexisting with quartz,mullite, and vapor (Fig. 4, open circles) approaches of natural topaz (Fig. 4, small filled the line basedon measurernents circles). For these samplesthe linear relationshipbetweenAozr and F-content,(Ribbe and Rosenberg,1971) is believedto hold; they are referredto hereasthe t'natural" lopaz series' In samples synthesized "dty" from end-member composition, 3 roz ,o H E 160 c 3 rse ''-olq o7B o8z 086 o9o o94 098 l,oe 106 ll8 tzo tz4 tza - 2eg6) Ae2, (20e21 Frc. 4. Variation of mea.n refra,ctive indices rvith Am X-ray measurements of 176 PHILIP E. ROSENBERG Al2SiO4F2,(Fig. 4, small, filled squares)quartz coexistswith topaz which is characterizedby slightly expandedlattice d.imensionsand Iowet mean refractive indicies than that of the end-member.This topaz is thought to representa solid solution seriesresulting from the coupledsubstitution of Al3* and F1- for Sia*and Or- and having the generalformula Al, (sir_"Al"on_"F,) Fr. An extrapolationof the line drawn through thesedata points (Fig. 4, lower line) intersectsthe natural topaz seriesat fluorotopazcomposition, AI2SiOaF2being the end-memberof both series. Topaz synthesizedin the presenceof excessAlFe and water (Fig 4, open squaresand triangles) lies closeto the lower line representing hydroxyl-free topaz solid solutions and, therefore, belongs to this series.Ae21valuesfor thesetopaz samplesare a measureof the exten.t of substitutionof Als* and F1- for Sia*and Or- rather than (OH)- for F-. The two seriesin Figure 4 representextremesin the meanrefractive indicies of topaz; numerous intermediateshave been synthesized. Where AlFs or its hydrolysis products (e.g.,ralstonite) are absent, topaz compositionsin zunyite-bearing assemblages(Fig. 4, filled circles) are believedto representhydroxyl-bearingintermediatesolid solutionswhile in alumina-rich zunyite-freeassemblages topaz compositions (Fig. 4, filled triangles) are hydrolyzedmembersof the solid solution series (see Fig. 6) . The extent of the latter seriesis much greaterthan that of the end-membersdue to the combinedeffectsof coupledsubstitutionand hydrolysis. Infra-red absorptionpatterns of typical samplesfrom each series are shown in Figure 5. Sharp (OH)--stretching bands are observed for syntheticsamplesapproximatingnatural topaz compositions(Fig. 5, 1315); these bands are indistinguishablefrorn those obtained for natural Lopaz.Broadeningis observedin the (OH)--stretching band of hydroxyl-bearingtopaz solid solutions (Fig. 5, 1321; Fig. 4, filled triangles) suggestingan unresolveddoublet which may reflect the substitution of (OH)- for F- in two 'dissimilar structural sites. Although Figure 4 clearly defi.nesthe two compositionalseries,refractive index measurementswere not possible for a great many samplesparticularly those synthesizedat lower temperatures.The two seriescan.alsobe distinguishedon the basisof 4621and 4211X-ray measurements(Fig. 6), which, in general,confirm the relationships observedin Figure 4.'Since these parameterswere measurablefor virtually every topaz sample,the entire range of compositioris synthe- 177 IN TOPAZ VANIATIONS sized in this study can be illustrated. samples 1315 and l32l arc locatedon this diagram. The natural topaz series(Fig. 6) is definedby the solid line fepresenting A values (correlation coefficient -.963) calculated from unit-cell dimensionsof fourteen natural samples (Rosenberg,1967) and, assumingthat the linear relationshipis maintainedfor topaz with lower F/OH ratios, by its dashed extension.A values obtained for o () C, o -o o U' -o I 2.5 3.O 3.5 4.O Wovelength( t.l-) Frc. 5. Infra-red absorption patterns of synthetic topaz. $ample !315, topaz rrith quartz, mullite, vapor (Fig. 1, A); sample 1321,topaz with corundum' vapor (Fig. 1, C). r78 PHILIP E. ROSENBERG %o^' A- Ar AA A z A A A 88 92 96 tOO lO4 I08 |2 [6 120 t?4 t28 t32 Lo? (20a2t-?e4d) synthetictopaz coexistingwith quartz,mullite (or pyrophyllite), and vapor (tr'ig.6, open circles) eloselyapproachthis line. The gap in the synthetic seriesis due to the relatively constant A values obtained for topaz in pyrophyllite-bearingassemblages. Equilibria involving pyrophyllite are not fully understoodat present and are currently underfurther investigation. A valuesfor topaz synthesizedin the absenceof water (Fig. 6, filled Their higher refractive indicies (Fig. 4, filled triangles) suggeststhat they are hydroxyl-bearing.In agreementwith relationshipsshown in VARIATIONS IN TOPAZ 17s Figure 4, A valuesof topaz in quartz-freezunyite-bearingassemblages (Fig.6, filled circlesand triangles) appearto representhydroxyl-bearing intermediatesolid solutions. The topaz solid solutionseriescrossesthe natural topaz series(Fig. 6) ratherthan meetingit at end-memb er Lopazcomposition(Al2SiOrFz). A values lying abovethose of the natural topaz seriesand representing decreasedlattice dimensionsare believedto be due to topaz solid solutionsin which the substitution of F'- for O'- is compensatedby vacanciesin Sia. lattice sites. These defect solid solutions have the generalformula Fr. Alr(sil _"/4o4_,F,) Similar coupledsubstitutionshave beenreportedin the humites (Jones, Ribbe, and Gibbs, 1969) which are structurally analogousto topaz. Topaz synthesizedin the presenceof excessA1F3is apparently always a solid solution.Defect solid solutionsare crystallizedwhen insufficient alumina is available (SiOz-rich compositions) to form "normal" Al-rich topaz solid solutions.A valuesfor stabledefectsolid solutionsplot closeto the intersectionof the natural and solid solution seriesin Figure 6. The extent of this solid solutionmay be metastably enhancedby use of starting materials containingan unreactive form of alumina, *-Al2O3,to give A values lying above those of the naturaltopazseries(Fig.6). Tnn Ennncr op Tpltpnnerunn Natwal Topaz Series For the natural topaz series, synthesized from compositions low in AlF3, Ae21values are a measure of the hydrolysis of. lopaz which is shown by the progressive change in these values with temperature (Fig. 7). For assemblagesof four phases including vapor the relationship is isobarically univariant, all values lying close to a single curve. Silica-rich compositions (Fig. 7, open circles) produce the assemblage Lopaz, quartz, mullite, vapor above 500'C and topaz, quartz, pyrophyllite, vapor at and below 500'C. Alumina-rich compositions (Fig. 7, filled circles) yield the assemblaget'opaz, corundum, mullite, vapor above 650oC; mullite is weak below 700'C and absent below 650'C. corundum is replaced by AIzOs-form KIL (Torkar, 1960) below 600'C except where o-Al2Os was used as a starting material. Zunyile appears below 500'C in assemblageswithout cluartz. ' SameasAS(H)-l (Arama^ki andRoy,1963). 180 PHILIP E. NOSENBERG Ae21rtr€&surements for topaz synthesizedfrom alumina-rich and from silica-rich compositionsare quite similat aL any given temperature. Although there is no reason to expect the temperature dependenceof F/OH ratios to be the samein both cases,presentdata cannot resolve a difference.Predictable changesin slope with the appearanceof pyrophyllite and zunyite are also unresolved.Topaz in several pyrophyllite-bearingassemblages lies below the trend in Figure 7, apparently due to disequilibriumbetweenpyrophyllite and the vapor phase.Due to the paucity of data, the curve for silica-rich compositions is difficult to trace below 450oC.Topaz in zunyite-bearingassemblagesis an intermediatesolid solution (seeFigs. 4 and O). The F/OH ratio of topaz proved to be highly refractory and attempts to approachthe curve (Fig. 7) from both directionsmet with limited success.Significantchangesin Ae21(and a211)were observed using natural lopaz mixed with a small amount of kaolinite and reactedatr 750",700o,and 625' (Fig. 7, arrows), to give the assemblage topaz, quartz, mullite, and vapor. Natural topaz from Topaz Mountain, Utah (aor, - .T6E)which is nearly (OH)--free (penfield and Minor, 1894; Ribbe and Rosenberg,1971) and ChesterfieldCo., 800 I too o : ooo fi a E o F 5oo 400 300 o14 078 082 086 090 094 098 ro2 106 ilo 4 - 20.16) aor,(26e2, ,trlc. 7. Variation of Am. with temperature for the natural topaz series. Open circles; topaz with qttarLz,mullite (or pyrophyllite), vapor (Fig. 1, A and F). Filled circles; topaz with corundum, mullite (or zunyite) vapor (bulk composition; mole per cent; AlF8 6, AlaOa53, SiO" 41). Arrows; reversal experiments,see text. VARIATIONSIN TOPAZ 181 South Carolina (4621= .890), the most hydroxyl-rich topaz ever reported (Pardee,Glass,and Stevens,1937) were used as starting maierials. .4621(and 4211)for thesesampleswas found to changein the direction of the values obtained by direct synthesisunder the same experimentalconditions (Fig. 7, arrows) suggestingthat a closeapproach to equilibrium has been attained at least at higher temperatures. Similar attempts to reversethe hydrolysis of topaz at lower ul. temperatureswereunsuccessf In view of theseresults,the hydrolysis of the natural topaz series, as shown by the curve in Figure 7 is regarded as well-established above 600"C and as an approximationbelow 500"C. The extent of (Offl- substitution for F- in synthetic samplesmay be estimated by extrapolatingthe linear relationship between4621and F-eontent established by Ribbe and Rosenberg(1971) for natural samples.The synthetic series extends beyond the maximum subsiitution reported in nature, (Azor= .890,15.7wb. percentF; Ribbe and Rosenberg,1971) to a 4621value of 1.130 (7.5 wt. percentF) at 350"C with no indication that this representsthe maximum substitution possible in the topaz structure. TopazSokd SoluttonSeries For the topaz solid solution series,synthesizedin the presenceof excessAlF3, Ae21values are a measureof the extent of the coupled substitution of AI3* for Sia*and F'- for O'-. The temperature dependenceof A621values observedin "dry" experimentsand in experiments with excessalumina, AlF3, and water are shownin Figure 8 (squares and circles respectively).These measurementslie close to a single curve which representsincreasingsolid solution with decreasingtemperature.Topaz solid solutionssynthesizedin the presenceof excess AlFe and water are hydroxyl-free at temperatures at least as low as 500.C since Ae21and refractive index measurementsfor these solid solutions eoincidewith those of the "dry" seriesat and above this temperature(Fig. a). "Dry" experimentsusing end-membertopaz composition(AlzS'iO+Fz) yielded topaz and q'dtartz;thus topaz compositionlies in the triangle Al2sio4F2-Alzoa-AlFs(Fig. 1). In the presenceof excesswater, bulk compositionscontainingexcessAl2O3and AlFs yield the assemblage topaz solid solution,corundum,AlFs-,(OH), and vapor above570oC, the extent of solid solution in topaz and the degreeof hydrolysis of AlFa (Fig. 3) increasingwith decreasingtemperature.At lower temperaturesralstonite appearsin place of AlFa*(OH)' and hydrolyzes with decreasingtemperature (Fig. 3). The presenceof zunyite below 182 PHILIP E. ROSENBERG O o 7OO E o3. ii. 3. 400 086 090 094 098 tO? | 06 il4 il8 t22 t26 Aq21(20621- 20516) Frc. 8. Variation of Aq with temperature for the topaz solid solution series in the presence of excessalumina. Filled squares; topaz "dry" experiments (Fig. 1, topaz comp.). Open circles; topaz with alumnia AIF*,(OH)", vapor (Fig 1, E). Filled circles; topaz with alumina, ralstonite, vapor (Fig. l,E). Z; zunyite present. Arrows; reversal experiments, see text. 500'C is dependenton the nature of starting materials. Bulk compositionsmadewith o-AlzOsgavethe assemblage topaz solid solution, ralstonite,corundum,and vapor (Fig. 8, filled circles) whereastopaz solid solution, ralstonite, and zunyite were synthesizedfrom the samebulk compositions usingAl (OH)s (Fig. 8, filled circleswilh "Z") . The refractory nature of c-Al2O3probably accountsfor this discrepancy which does affect the compositionof coexistingtopaz to some degree (see Fig. 6). Diaspore replacedcorundum in several experimentsat 400"Cwhich arenot shownin Figure8. Topaz solid solutions coexisting with corundum and vapor are partially hydrolyzed; they appear as intermediatesbetweenthe two compositionalseriesin Figure 4 (filled triangles) but lie closeto the hydroxyl-freeLopazsolid solutionseriesin Figures6 and 8. The curve in Figure 8 was approachedfrom two directionsat 700"C by starting with mixtures of natural topaz (Topaz Mountain, Utah; As21= .Z6b and ChesterfieldCo. S.C.; Aozr= .890) alumina,AlF3, and excess water, (Fig. 8, arrows). Similar attempts at lower temperatureswere not successful. The temperature dependenceof Lopaz As21values for the assemblages topaz solid solution, quafi,z,AlFa_,(OH)a7 ydpot and topaz solid solution,AlFs vapor is shownin Figure g (open circles "(OH),, 1&3 VABIATIONS IN TOPAZ also lies and fllled circlesrespectively).Topaz in these assemblages (Fig. triangles) 4, open on the curve for anhydrous solid solutions and is, therefore,hydroxyl-free.Although a similar temperaturedependenceexists,the extent of topaz solid solution and the degreeof topaz hydrolysisof AlFs (Fig. 2) are both lessthan for the assemblage (Fig. solution 8). Solid solid solution,corundum,AIFB-,(OH),, vapor is probably limited by the absenceof free alumina; AIs* is not readily available to replaceSin*.This explanationis in accordwith the tendency.tocompensate for anion substitutionsby creationof tetrahedral vacanciessuggestedby ,Azrrmeasurements. Solid solution is slightly more extensivewhen topaz coexistsonly with AlFg-"(OH)" and vapor (Fig. 9, filled circles); topaz in this assemblageis hydroxyl-free to temperaturesat least as low as 425"C. Due to the lesserdegreeof AlF3 hydrolysis,ralstonite is presentonly at 400'C. Attempts were madeto approachthe curve for topaz solid solutions coexistingwith AlFs-,(OH), and vapor from two directionsby starting with natural topaz, AlF3, and excesswater. Although this procedurewas partially successful usingtopaz from ChesterfieldCo., S. G. o an) it o 7nn -@l 600 l+.t\ p f o & ) (D o s00 H o 400 o.74 078 082 086 090 094 098 toz 106 llo A.ozt(20o"1-20116) Frc. 9. Variation of Aa with temperature for the topaz solid solution series with and without excessquartz. Open circles; topaz with quartz AIF*"(OH),, vapor (Fig. 1, B and D). FiIIed circles; topaz and AIF-"(OH),, vapor (Fig. l, G)' II; ralstonite replacesAt "(OH)". Arrows; reversal experiments,see text. 184 PHILIP E. ROSENBERG (Fig. 9, right arrows) no changesin 4621of.Lopazfrom Topaz Mquntain, Utah, were observed.t'Reversalsttwere obtained when concentrated HF was sealedquickly into gold tubescontainingthe latter material; the assemblagetopaz solid solution, AlFs-,(OH)n, vapor was observedin every case(Fig. 9 left arrows). THn Ernncr or Pnnssunn Sincethe'substitution of (OH)- for F- in the natural topaz series and the coripled substitution of Al3* for Sin. and tr'1- for O'- in the topaz solid solution seriesare both accompaniedby an increasein volume,the extent of thesesubstitutionsshould be somewhatgreater at lower pressuresthan at higher pressures. The tendencyto compensate for anion substitutionsby the creation of tetrahedral vacancies in the topaz solid solutionseriesmay be enhancedat higher pressures due to the smallervolumesof thesesolid solutions. Although no attempt was made to study the effect of pressureon compositionalvariations in topaz, the assemblage topaz, quartz, mullite, vapor was synthesizedat 1000bars in a few experimentsbetween 800"C and 600"C. Within the precisionof the measurements, topaz Ao21valueswere the sameat 1000bars as at 2000bars. Assplrsr,ecus Rnr,errox ro NATTTRAT, Compositionalvariations of topaz discussedin this paper apply strictly only to alkali-free assemblages whereasmost natural topazbearingassemblages contain significantamountsof alkalis; mica, for example,is an important constituentof greisens. However,preliminary studies (Rosenberg,1969,and unpublisheddata) suggestthat small amountsof K (-5 wt. percentKzO) have little effecton topaz-vapor equilibria. Since topaz compositionsin synthetic and natural assemblages are comparable,the univariant curve for the natural topaz serieswould appearto have applicationsto geothermometry. The compositionof topaz is determinedby the fugacitiesof HF and H2O, pressure,and temperature.Experimental gas fugacities were internally buffered by stoichiometricsolid phases (quartz, mullite, etc.); these fugacitiesare fixed at a given temperatureand pressure for assemblages of four phases including vapor. Preliminary data suggestthat a changein pressureby a factor of two has little effect on topaz-vapor equilibria. However, natural topaz-bearing assemblagestypically lack internal buffer assemblages as indicated by the predominanceof solid phaseswith variable F/OH ratios in greisen (e.9.,Lopaz,mica, tourmaline,apatite, etc.) (Rieder,1971).Thus, natural greisen assemblages(e.g., qlafiz, muscovite, topaz) usually VARIATIONS IN TOPAZ 1&5 crystallizein a systemthat is open with respectto the vapor phase, the fugacity of HF being imposedby an externalsource.Under these conditionsno simplerelationshipbetweentopaz compositionand temperature is to be expectedand the experimentallydeterminedunivariant curve for the natural topaz seriesis not applicable. Despite this seriouslimitation temperatureestimatesmay be poswith bulk compositions sible in some cases.F-buffered assemblages (lopaz; quartz; andalusite,silliapproachingthe quaternary system manite, or kyanite) have been found in naturel for example,Lopaz, quarLz,sillimanite assemblages have been reported from Tanzania (Kempe, 1967) and Evergreen,Colorado (Sheridanet aI., 1968). Neglectingthe probableeffectsof pressure,topazF/OH ratios in these assemblages suggesttemperaturesof 850'C (Aozr= .789) and 750'C (Aozr: .826) respectively'Thesetemperaturesmust be regardedas approximationsbecausepressuresduring the,crystallizalton of. Lopaz may have greatly exceeded 2000bars.While riiost natural systemsappear to have beenopenwith respectto the vapor phaseduring fluorine may have topazin someassemblages metasomatismand greisenization, crystallizedunder closedsystemconditions. It would be of considerableirrterestto know the experimentalgas fugacitiesin order to reconstructthe compositionof the natural vapor phasein equilibriumwith F-bufferedassemblages. Unfortunately,this information cannot be obtainedfrom the experimentaldata reported here. The buffer method (Munoz and Eugster, 1969) offers the best potential approach,although the range of HF fugacities'established by buffersthat have beencalibratedto date is probably too low to be of value in studyingtopaz-vaporequilibria. Topaz solid sdhitionshave not been reported in nature but they may exist whdrebulk compositionsare unusuallyhigh in fluorine and' Iow in alkalis. For example,l,opaz coexistingwith ralstoniteshouldbe a memberof the solid solution series.This associationhas never been report-edin nature to the author'sknowledgebut both minerals have been found in the vicinicity of St. Peter'sDome in Colorado (Cross and Hillebrand, 1885). It is possiblethat natural intermediatesbetween the two serieshave been describedbut not recognizedin the literature because,typically, insufficieirtdata are provided for their characterization. Acr<Nowr,nDcunNrs Financial support was provided by National Science Foundation Grants GA1161and GA-4483. The technical assistanceof Mrs. Albina. Mellott was a.valuable contribution to this study. D. R. C. Kempe of the British Museum of Na'tural History kindly provided a sample of topa,zfrom Tanzania. I86 PHILIP E. ROSENBERG RnrpnnNcns Ar,rneus, EcoN (1966) Stability range of pyrophyllite under the effect of acids. I. Experimental study. aontrib. Mineral. Petrologg 13, 31-50. An.trrenr, S., axr R. Ror (1963) A new polymorph of AI,SiOu and further studies in the system ALOrSiOrH,O. Amer. Mineral. 48, 1322-1347. Conss,L. Jn. (1955) High Pressureminerals.J. Amer. Ceratn. Soc.38,298. Cnoss,W., eltn W. F. Ilrr,r,ssRANo(1885) Contributions to the mineralogy of the Rocky Mountains. U. S. GeoI.&uru. 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Mineral. 54, 943-959. Noue, T., exn M. Usuro (1964) Hydrothermal synthesis of fluorine-hydroxylphlogopite; Part II. Relationship between the fluorine content, lattice constants and the conditions of synthesis of fluorine-hydroxyl-phlogopite. "/. Chem. Soc.Japan, Ind. Chem. Sec. 67,292-297(Transl.: Geochem.Internat. 1,96-104(1964)). Pennno,D. T., J. J. Gr,ess,ewn R. E. SnnvnNs(1937) Massive low fluorine topaz from the Brewer Mine, S. Carolina.Amer. Mineral. 22,105&-1064. PnNrrnr,n, S. L., eNo J. C. Mrwon, Jn., (1894) On the chemical composition and related physical properties of topaz. Amer. J. Sci.,9er.3.47,387-396. Rrnnn, P. II., eNo P. E. Rosnwnanc (1971) Optical and X-ray determinative methods for fluorine in topaz. Am,er.Minerar. 56, 1812-1821. Rnmnn, Mu,eN (1971) Stability and physical properties of synthetic lithium-iron micas.Amer. M i,ner.al. 56,256-l2n. RosnNnonc,P. E. (1967) Variations in the unit-cell dimensions ol topaz and their significance.Amer. Minerar. 52, 1890-1895. (1969) Topaz-vapor equilibria in the presenceof excesssilica a,nd water. GeoI. Soc.Amer. Ann. Meet., Prog. Abstr.,192-193. Scuonnn,R., eNn E. Tnrr,o (1940) ChemischelJntersuchungenvon Silicaten, X Mitteil, Uber den iopaz, ALSiO.(F,OII,O), und seine synthese iiber ein neues fluorhaligesAluminum Oxyd. Ber. Deutsch. Chem. Gesell. 37B, L2lgL24:0. Snnnoex, D. M, R. B. Tevr,on,eNo S. P. Mensrr (1968) Rutile and topaz in Precambrian gneissJefferson and Clear Creek Counties, Colorado, U. S. Geol. Suru.Circ.567. VARIATIONS IN TOPAZ 187 Torrn, K. (1960) Untersuchungen uber Aluminumhyroxyde und Oxyde 4. Mitt. M onatsh..C hem. 9L, 658-668. VaN VelrcnNsunc,A. (1961) Synthesis of the humites, nMgrSiOr ' Me(F,OH)e. J. Res.Nat. Bur. Stand. Phus. Clt'em.65A,415-428. Yonnn, E. S., eNn II. P. Eucsmn (1955) Synthetic and natural muscovites. Geochem. Cosmochim. Acta 8, 225-2&. Mantncri,pt recei,uedJune 7, 1911; accepted lor publi'cation, Jufu 30, lgll-