American Mineralogist, Volume 74, pages 333-338, 1989 Effect of fluorine on the viscosity of diopsideliquid DoNar.o B. DrNcwnr,r, BayerischesGeoinstitut, Universitat Bayreuth, Postfach 10 12 51, 8580 Bayneuth,Federal Republic of Germany Ansrnlcr The etrectof F on the shear viscosity of diopside liquid has been investigatedat I atm and 1300 to 1500'C using the concentric cylinder method. To obtain glassstarting materials, 100-9 batches of compositions along the CaMgSi,O6-F2O-'join-CaMgSi,Ou, CaMgSirO,,rrForr, CaMgSirOrrrFor, and CaMgSirOrrF (denotedDi, DiF0.25, DiF0.5, and DiFl, respectively)-were melted in air. F volatilization was significant during batch melting but not during subsequentviscometry determinations. Electron-microprobe analyses of theseglassespermit comparison of viscosities as a function of F content. The exchangeofF for oxygen in these liquids reducesviscosity over the range ofcompositions investigated in this study. The viscosity reduction as a function of F/(F + O) + O)' > 0), as is the case for albite exhibits a positive curvature (i.e., d'z(log,o4)/d(F/(F melt (Dingwell, 1987a),but the viscosity-reducingeffect of F on diopside melt is much lessthan that observedfor albite melt (Dingwell et al., 1985). Raman spectraof quenchedmelts (glasses)on the CaMgSirOu-FrO-'join (Luth, 1988a) and liquidus phaseequilibria in depolymerized systems(Foley et al., 1986; Luth, 1988b) have indicated that the addition of F (as FrO-,) increasesthe activity of SiO' in these liquids, and thus Luth (1988a, 1988b)has hypothesizedthat F (as RO-') might increase depolymerized melt viscosities (due to the increasein SiO, activity). Instead, the present study shows that the exchangeof F for oxygen, the F O r component, reducesthe melt viscosity of diopside melt. The polymerization of diopside melt may be quantified using the NBO/T calculation (seeMysen, 1988) at 2.0, whereasanhydrous chemical analysesof the most basic, depolymerized, natural melts yield NBO/T values of 1.4 (Mysen, I 987). Thus the presentstudy shows that the viscosity-reducing effect of F on silicate melts persists to compositions more depolymerized than any naturally occurring silicate melt. It is therefore proposed that F will reduce the viscosity of all low-pressure(HrO-poor) silicate melts of geologic interest. INrnooucrroN recently by Foley et al. (1986), who noted that the effect of F on liquidus phaserelations in the KAlSiOo-MgrSiOoSiO, system can be explained in terms of an increasein the activity of SiO, in liquids in this system. Similarly, Luth (1988b) has studied the effect ofF on the liquidus phaserelations in the NaAlSiOo-CaMgSirOu-SiO2 system, concluding that the substitution ofF for oxygen (via the FrO-, exchangeoperator) results in an increase in the activity of SiO, in theseliquids. Additionally, Luth (1988a) presentedRaman spectraof quenched melts (glasses)in the CaO-CaFr-SiO,systemin support of F complexation with Ca and concomitant increasein the activity of SiO, in these glasses.If one defines the polymerization of the melt simply as a measureof the concentrationof bridging oxygens,rather than a ratio of nonbridging oxygens to tetrahedrally coordinated cations (as is done for the calculation of NBO/T), then one can describe the effect of F substitution for oxygen (resulting in an increasein the activity of SiOr) as a polymerization of the melt. This wasdoneby Luth (1988a,1988b)and Foleyet al. (1986) and resultedin the hypothesisof Luth (1988a)that the The viscosity-reducingeffect of F in silicate melts has been known and utilized for centuries in glassmaking (Agricola, 1529). Indeed the element fluorine owes its name to this property. Fluorspar (CaFr) or "flow-stone" (from the Latinfluere meaning "flow" or "flux") was the sourceof elementalfluorine that was first isolatedin 1886. Recently, the effect of F in reducing the viscosity of fully polymerized silicate melts has been determined (Dingwell et al., 1985;Dingwell, 1987a),and the significanceof such viscosity reduction for the petrogenesisof various F-rich silicic igneous rocks has been recognized (e.g.,Dingwell, 1985, 1987b; Christiansenet al., 1986; Clemenset al., 1986;Hannah and Stein, 19861Stern et al., 1986; Pichavant et al., 1987; Kortemeier and Burt, I 988). In addition, certain, very basic igneousrocks (e.g.,melilitites, leucitites, minettes) also contain up to 2 wto/oF (Aoki et al., l98l). The importance of F in influencing the petrogenesisof mantle-derivedmelts has beenstressed 0003-004x/89/0304-o3 333 33$02.00 )5+ DINGWELL: EFFECT OF F ON VISCOSITY OF DIOPSIDE LIQUID "polymerizing" effect of FrO , on depolymerized melts might result in an increasein melt viscosity. This last point highlights two different usesof the term "polymerization" that must be distinguished.The structure and properties of melts along binary metal oxidesilica joins due to the presenceof different metal cations are often discussedin terms of differencesin "polymerization" at a constant mole fraction of SiO, (e.g., Hess, 1980).This usageof the term "polymerization" derives from the literature dealing with polymer theory applied to basicsilicatemelts(e.g.,Masson,1972).Theterm "polymerization" in this sensedeals with the fact that the bridging-oxygencontent, and, therefore,the SiO, activity (Hess, 1977),varies with the identity of the metal cation in melts with equal molar content of SiOr. A melt with a higher concentration of bridging oxygens is said to be more polymerized. The seconduse of the term "polymerization" is to describe the stoichiometrically constrained ratio of nonbridging oxygensto tetrahedrally coordinated cations or NBO/T (e.g.,Mysen et al., 1985).The coniept of NBO/T as a structural parameterof silicate melts is derived from the glass-scienceconcept of a stoichiometrically defined "oxygen-bridgedensity" (e.g.,Carron, 1969).It is useful for illustrating the stoichiometric constraint of the number ofnonbridging oxygenspresent in the structure, [assuming that the concentrationof(free) oxygensunbonded to tetrahedrally coordinated cations is minimall. It is not yet clear which use of the term "polymerization" is best suited to structural modeling of the process of viscous flow in liquid silicates. Many previous studies of the effect of fluorides on depolymerized melts already exist (e.g., Schwerin, 1934; Hellbriiggeand Endell, 1941,Owens-IllinoisGlassCompany, 1944; Kozakevitch, 1954; Bills, 1963; Hirayama and Camp, 1969)and invariably indicate that the addition of fluorides to basic, depolymerized slags reduces liquid viscosity (seeFig. 5, Dingwell et al., 1985). The complication arising from the simultaneousadditions of F and an alkali or alkaline earth (as a fluoride) however, precludesthe isolation ofthe effectofFrO , on the liquid viscosity from these previous studies. I am aware of no previous study where the effect ofFrO , on the viscosity of depolymerized, Al-free silicate melts has been investigated. Accordingly, the presentstudy was performed to test the hypothesisof Luth (1988a)that FrO , might insreasethe viscosity of a depolymerized melt. Diopside was chosenfor the present investigation because (l) the phase diagram for CaMgSirOu-FrO, has beeninvestigatedby Luth (1988b),(2) the Raman spectra of quenched melts on this join are consistent with increasingSiO, activity with increasing F content, (3) the l-atm stability ofF in Ca-bearingsilicate liquids is substantially higher than in alkali-silicate liquids, and (4) the viscosity of diopside is well known at I atm (Licko and Danek, 1986;Scarfeet al., 1983)and liquid viscositiesin the CaO-MgO-SiO, systemare well investigated(Machin etal.,1952: Machin and Yee, 1954). The viscosities were determined at l-atm pressureusing the concentric-cylindermethod. Although l-atm viscometry has the drawback of possibleF volatilization, in practice such volatilization can be ruled out during viscometry becauseno drift in viscosity is recorded during a closed cycle of viscosity-temperature determinations. The alternative method of high-pressure synthesis and measurementof viscosity using the falling-spheremethod (e.g.,Dingwell, 1987a)was ruled out becausethe errors associatedwith this technique,at high pressure,are much larger than for concentric-cylinder viscometry at I atm, and the effect of F on depolymerized melt viscosity was anticipated to be smaller than that observedfor the more polymerizedmelts studiedby Dingwell et al. (1985). ExpnnrnrnNTAl METHoD Starting materials The compositions of this investigation were chosento lie on the compositionaljoin CaMgSirOu-FrO-,.Four compositions, corresponding to progressivesubstitution of F for oxygen in this system, were chosen at molar valuesof 0, 0.25, 0.5, and 1.0 mol of F per four-cation, a M g S i , O rr , r F or , , b a s i s d i o p s i d e( i . e . , C a M g S i r O uC CaMgSirOrrrFor, and CaMgSi2O5 5F,denotedDi, DiF0.25, DiF0.5, and DiFl, respectively).The startingglassesfor the viscometry experimentswere synthesizedfrom CaCO, pure, -325 (ultrapureprecipitate-Merck), MgO (99.5o/o mesh-Ventron), SiO, (99.9o/opure, -325 mesh-Ventron), and CaF, (geftillt rein-Merck). CaCO., CaFr, and MgO powders were dried at 120 "C for at least 24 h, SiO, was fired aI 1250 "C for l-2 h, and all were stored at 120 'C prior to use. The powders were weighed in stoichiometric proportions into 100-9 (decarbonated weight) batchesin a 250-mL plastic beaker,transferredto a plastic bottle, and mixed by agitation for - l5 min. The powder mixes were fused directly at 1500 "C by stepwiseaddition of powder mixes to a 50-cmr thin-walled Pt crucible. The melts were held at 1500 .C for I h in a MoSi, box furnace.The fused samplesthus obtained were poured onto a stainless-steelplate for cooling. Glass analysis Chips of thesestarting glasseswere analyzedby microprobe for Ca, Mg, Si, and F, and the results of these analysesare presentedin Table l. The instrument was a JEoL JSM-35with Krisel control system. The standards were synthetic diopside-jadeite glassfor Ca, Mg, and Si and synthetic F-bearing albite glass for F. Precautions were taken to avoid F volatilization during analysis.Further details of microprobe analysesare given in Table l. All batchesprobably lost F by volatilization, and the loss is noticeablein DiFl, which is low in F. The Ca, Mg, and Si contents of the glassesare within microprobe errors of the nominal composition, although the Mg values are slightly low, perhaps owing to F loss as MgF, (cf. Dingwell and Scarfe.1985). DINGWELL: EFFECT OF F ON VISCOSITY OF DIOPSIDE LIQUID 335 TABLE1, Glass analyses Di Sample CaO Mgo Jtu2 CaMgsiro6 (nomF 25 90 1 86 1 55.49 26 61 19.29 54 11 nar) F Total Mg DI o T FI(F ! n l DiF0.25 98.21 wtTooxides. 26 39 1 77 5 ss.96 2.39 97 42 Four-cationmolar basis 1.024 1. 0 1 9 1. 0 0 0 1 033 0.957 1.000 1944 2.024 2.000 6.000 5 944 5.883 0.284 0.0461 25.42 17.55 57.03 4.65 99.11 26.01 17.75 56.24 12 65 98.55 o o 0 986 0 948 2.066 5.792 0.548 0.0864 1. 0 0 8 0.958 2.034 5 230 1.549 0.2285 Note: Glassanalyseswere performedby wavelength-dispersiveanalysis instrumentand Kriselcontrolsystem Operatingconusinga JEoLJsM-35 voltage,100-nAbeam currenton C,30-s ditionswere 15-kVaccelerating maximumcount times usinga 10 x 10 pm rasterand movingthe sample continuouslyunderthe beam.Standardswere a syntheticdiopside-jadeite glassfor Ca, Mg, and Si and AB1F glass(seeDingwellet al , 1985)for F. Analysesot F-bearingglassesare the meansof five analysispoints. - Weight percentanalyseshave been normalizedon the basis of CaO + MgO + SiO, : 100% to facilitatecomparisonwith nominaldiopside. o 5'6 t't .,o,ooo,r,*, relationships of four melts Fig. I . Theviscosity-temperature 24.SeeTable Errorbarsrepresent on thejoin CaMgSirOu-FrO-,. I for compositions. Viscometry The viscosities were determined with the concentriccylinder method using a modified version of the apparatusdescribedby Dingwell (1986).Improvementsin the design of the present viscometer include a precise positioning system for the immersion depth and the x-y centering of the spindle, using micropositioning stage componentspreciseto +50 pfl, orrd a computer-based time-averagingof the output signal. The viscometer has been standardized with National Bureau of Standards StandardReferencematerial SRM 7l l, lead-silicaglass. The torque was recorded over a range of spindle speeds at a seriesof temperaturesfor SRM 711. Plots of the millivolt signal (from the rotary variable displacement transducer)versusviscosity (from the SRM 7 I I certificate ofviscosity values) were constructed for each speedand used as calibration curves for viscosity determinations. The precision of this apparatus,determined by replicate measurementsof viscosity is +2.5o/oat 2o. The accuracy of the method is taken as the sum of the precision of The spindle standardand sampledeterminationsat + 50/0. used in this study is the same as described by Dingwell and Virgo (1987). Each viscosity determination was made at three different rotation speeds(20, 50, and 100 rpm). The calculated viscosity was independent of shear rate; i.e., Newtonian behavior was observed for all compositions. The melts were sampled by dipping a Pt wire loop into the samplecrucible after eachviscosity determination to ensurethat the samplewas a single-phasesilicateliquid. No liquation, crystallization, or vesiculation was observed. The viscometry runs were begun at the highest temperatureand then at successivelylower temperatures constrainedby the phasediagram of the CaMgSirO6-FrO, system (Luth, 1988b) to lie above the liquidus (where known). The final determination of the run was a reoc- cupation of the highest-temperaturedetermination. No difference was observed between initial and final determinations at the high-temperaturepoint, indicating that no instrumental or compositional drift took place during the viscometry experiments. Rrsur-rs AND DIScussIoN The results of the viscosity determinations on Di, DiF0.25, DiF0.5, and DiFl are presentedin Table 2 and illustrated in Figure l. The viscosities decreasewith increasingF content at all temperatures.The temperature dependenceof the viscosities are Arrhenian within error and are fit to equations ofthe form * E^/2.303RT, logro4: log,o4o (l) where a is the viscosity at temperature T, R is the gas constant, and E^ and 46are termed the activation energy and pre-exponentialfactor, respectively. In order to quantify the effect of FrO-, on the viscosity of CaO-MgO-SiO, melts, we have plotted the viscosity join as-afunction of thesemelts on the CaMgSirOu-FrO-, of the anionic mole fraction of F, F/(F + O), in Figure 2. The dependenceof viscosity on composition exhibits a smooth function with positive curvature when plotted againstF/(F + O). Comparisonwith polymerizedmelts The results of the determination of diopside viscosity are within error of thoseof Licko and Danek (1986)using oscillation viscometry and those of Scarfeet al. (1983) using concentric-cylinderviscometry. This agreementil- t36 DINGWELL: EFFECT OF F ON VISCOSITY OF DIOPSIDE LIQUID TABLE2. Melt-viscositydata Log,oviscosity (poise) DiF0.25 1 4 9 5 . 0" C 1 4 4 58 . C 1421.2"C 1396.6.C 1372.0"C 1347.5"C 1322.9"C o o o o 1303.2 rc jadeite log tto E" (kcal/mol) o o ,. perarK 0 640 0.805 0.974 -5.024 45.83 0.688 0.763 0.840 0.930 101 4.662 42.07 DiF0.5 0.749 0.811 0.895 -4.078 36.85 0.664 0.728 0.839 -5.496 45.61 nepheline ot o' o3 ,nr*o, Fig. 2. Comparisonof the effecton melt viscosityof substituting F for oxygenin severalsilicatemeltsat 1400'C. Data from Riebling(1966),Dingwellet al. (1985),and this study. "Peralk"is a peralkalinecompositionwith 75 molo/o silica. lustrates that the results of these two methods on melts in this viscosity range give consistentresults. The positive curvature in the viscosity vs. F content [F(F + O)] plot of Figure 2 is similar to thar obtained by Dingwell (1987a) for the NaAISi3OB-F2O_, system at 7.5 kbar. Figure 2 compares the efects ofF on reducing the viscosity of albite, jadeite, nepheline, and diopside melts at I atm. The viscosity-reducingeffect of F on fully polymerized melts has already been shown to be a strong positive function of SiO, content [or the Si/(Al + Si) valuel. Similarly, Figure 2 illustrates that at constant mole fraction SiO, (equalto 0.50 for jadeite and diopsidemelrs), the viscosity of the fully polymerized jadeite melt is lowered much more strongly than the viscosity of depolymerizeddiopsidemelt. This observationis consistentwith the previous comparison (at 75 molo/oSiOr; Dingwell et al., I 985) showingthat F hasa largereffecton the viscosity of fully polymerized albite melt than on peralkaline and peraluminous melts that are depolymerized by excesses of Na and Al, respectively. Melt structure In the past few yearsthere have been a seriesofpapers in the geologicalliterature outlining the possiblesolution mechanismsof F in silicate liquids; largely in the context ofglass spectroscopyand experimental liquidus phaserelations (e.g., Manning et al., 1980; Mysen and Virgo, 1985a,1985b;Foley et al., 1986;Luth, 1988a,1988b). In fully polymerized silicate melts suchas albite and jadeite, it has been recognizedthat F substitution for oxygen must depolymerize the melt structure, as oxygens involved in bridging bonds to two adjacent tetrahedral cations are stoichiometrically replaced by F. The simplest schemefor F substitution might involve the formation of Si-F bonds to replacethe bridging oxygensby what could be termed "nonbridging" F atoms. Spectroscopicevidence for this substitution mechanism in highly polymerized glassesis equivocal (Mysen and Virgo, 1985b; Hayashi et al., 1987). Mysen and Virgo (1985b) realized that the effect of F on the properties of fully polymerized melts could be explained by an alternative solution mechanismfor F where an unequal number of Na and Al atoms are withdrawn from their network-stabilizingand network-forming roles, respectively,to form charge-balancedfluoride complexes no longerdirectly participating in the aluminosilicatemelt structure. Such a mechanism would depolymerize the "residual" aluminosilicateor oxide proportion of the melt becausethe unequal remaining Na and A1 contents of the oxide portion would require a network-modifying role for the Na (or Al) in excessof that required to chargebalance the Al (or Na). Mysen and Virgo (1985b) went on to propose that, to a first approximation, the viscosity vs. temperaturerelationshipsof the F-bearing melts of Dingwell et al. (1985)could be modeled in terms of the bulk composition of the "residual" aluminosilicate oxide portion of those melts. The proportions of Na and Al coordinated as fluoride complexeswere estimated from Raman spectra, and the "residual" melt composition was calculated.The data of Riebling (1966) was then used as a "template" for estimating the bulk F-bearing melt viscosities. Central to this approach was the idea that the presenceof neutral fluoride complexes has a negligible direct effect on the viscosity of F-bearing silicate melts. In depolymerized melts, such as diopside, the solution of F might proceed by the formation of Si-F bonds in replacementofbridging or nonbridging oxygensor by the formation of calcium and magnesiumfluoride complexes resulting, in this Al-free composition, in an increasein the proportion of oxygen that forms bridging bonds. Raman spectroscopicobservations of glassesand liquidus phaseequilibria favor the latter interpretation as both are consistentwith an increasein the activity of SiO, in the liquid (Foleyet al., 1986;Luth, 1988a,1988b).Using the DINGWELL: EFFECT OF F ON VISCOSITY OF DIOPSIDE LIQUID 53 t samereasoningas outlined by Mysen and Virgo (1985b), then F is predicted to decreasethe viscosity of all such Luth (1988b)hypothesizedthat F might increasethe vis- low-pressure,relatively dry, basic melts. cosity of diopside melt owing to such an increasein the activity of SiO., which presumably reflectsan increasein AcrNowr,oocMENTS the proportion of oxygen bridging bonds. If the contriI wish to thank Bob Luth for analysesofthe glassesand Georg Herrbution of neutral fluoride complexes can be neglected, mannsdiirfer for technical assistancewith adaptationsto the viscometer then this structural parameter,the activity of SiOr, should and Mark Brearley for his comments F. J. Ryerson and J. Stebbinsare thanked for constructivereviews. dominate the effect of F addition on melt viscosity. The present study shows that the effect of F is to significantly reducethe viscosity of diopside melt. Thus we RnrBnBNcBscrrnn concludethat if, as is likely, the F in diopside-FrO-, melts Agricola, G. (1529)De Re Metallica (not seen;extractedfrom Hammond, is presentas neutral fluoride complexes,then the presence C.R, The elements.In R.C. Weast, Ed., Handbook of physicsand of such fluoride complexes is the dominant control on chemistry (53rd edition). The Chemical Rubber Company, Cleveland, Ohio.1973). melt viscosity. This conclusicrnleadsto the generalization that it is not appropriate to model (quantitatively or qual- Aoki, K, Ishikawa,K., and Kanisawa,S. (1981)Fluorinegeochemistry ofbasaltic rocks from continental and oceanicregionsand pelrogenetic itatively) viscous flow in mixed fluoride-oxide (silicate) application. Contributions to Mineralogy and Petrology,76,53-59 melts entirely in terms of the oxide (silicate or alumino- Bills, P M (1963)Viscositiesin silicateslagsystems.Journalofthe Iron and SteelInstitute.201. 133-140. silicate)proportion of the melt structure,to the exclusion Carron, J.-P. (1969) Vue d'ensemblesur la rh6ologiedes magmassilicat6s of the consideration of fluoride complexes. Geologicalimplications The recognition that many depolymerized,silica-poor, mantle-derived magmas contain significant concentrations of F (Aoki et al., l98l) has led to interest in the possibleeffectsofF on physical and chemical properties of depolymerizedsilicatemelts (e.g.,Foley et al., 1986). In this context, diopside is a useful model compound for discussingbasaltic and more basic melts, just as albite is often used as a model for granitic melts. On the basis of a qualitative comparison of the effectof F on polymerized and depolymerized silicate melts, I conclude that F will be less effective in reducing the viscosities of more basic melts than is likely the casefor granitic and other felsic melts. Several factors combine to reduce the predicted effect of F on more basic melts. First, the viscosity-reducing effectis smaller per wt0/oof F (Fig. 2). Second,the liquidus temperaturesof more basicmelts are much higher and thus the divergence of viscosity-temperature relationships that results from decreasingactivation energy with F addition cannot be exploited to expand the effect of F on viscosity in basic systemsas is possible in felsic systems. Surtlvr.l,ny The viscosity of diopside melt is significantly reduced by the substitution of F for oxygen (via the exchange operator F,O ,) at least up to F/(F + O) : 0.23. The effect of F on melt viscosity is much less than that observedfor polymerized melts such as albite and jadeite. The substitution of F into diopside melt has been proposed to be accompaniedby an increasein the activity of SiOr. The present study shows that, if previous structural conclusions regarding the substitution of F into diopside melt are correct, then predictive models for the viscosity of mixed fluoride-oxide (silicate) melts must considerthe effectofthe presenceofneutral fluoride complexeson the viscous flow process. If diopsideis a model for naturally occurringbasicmelts, naturels. Bulletin de la Soci6t6Frangaisede Min6ralogie et Cristallographie,92, 435446. Christiansen,E.H., Sheridan,M F., and Burt, D.M. (1986)The geology and geochemistryofCenozoic topaz rhyolites from the westernUnited States.GeologicalSocietyofAmerica SpecialPaper 205,82 p. Clemens,J.D., Holloway, JR., and White, A.JR. (1986) Origin of A-type granite: Experimental constraints.American Mineralogist, 71, 3t7-324 Dingwell, D.B. (1985)The structureand propertiesoffluorine-rich silicate melts: Implications for granite petrogenesis(abs.).In R.P. Taylor and D F Strong,Eds , Granite-relatedmineral deposits.Geology,paragenesis and tectonic setting, p. 72-8 I . Canadian Institute of Mining and Metallurgy, Montreal. ( I 986) Viscosity-temperature relationshipsin the systemNarSirOrNaoAlrOr.Geochimica et CosmochimicaActa, 50, 126l-1265 -(1987a) Melt viscositiesin the syslemNaAlSirOr-HrO-FrO-,.In B.O Mysen, Ed., Magmatic processes:Physicochemicalprinciples, p. 423431 . GeochemicalSocietySpecialPublication 1. University Park, Pennsylvania. -(1987b) The structure and propefties of fluorine-rich magmas:A review ofexperimental studies.In R.P. Taylor and D.F. Strong, Eds., Recent advancesin the geology of granite-related mineral deposits. Canadian Institute of Mining and Metallurgy Special Volume 39, 112. Dingwell, D B., and Scarfe,C.M. (1985) Chemical diffusion of fluorine in melts in the systemNarO-AlrO,-SiOt Earth and PlanetarySciencektters.73. 377-384. Dingwell, D.B., and Virgo, D. (1987) The effectof oxidation stateon the viscosity of melts in the systemNarO-FeO-Fe,O,-SiOr.Geochimica et CosmochimicaActa. 51. 195-205. Dingwell,D.8., Scarfe,C.M., and Cronin, D (1985)The effectof fluorine on viscositiesin the systemNarO-AlrOlSiOr: Implications for phonolites, trachytes,and rhyolites American Mineralogist, 70, 80-87. Foley,S.F.,Taylor, W.R., and Green,D.H. (1986)The effectof fluorine on phaserelationshipsin the systemKAlSiOo-MgrSiO4-SiO,at 28 kbar and the solution mechanismoffluorine in silicatemelts. Contributions to Mineralogyand Petrology,93,46-55. Hannah, J.L., and Stein, H.J (1986) Oxygen isotope compositionsof selectedLaramide-Tertiary granitoid stocks in the Colorado Mineral Belt and and their bearingon the origin ofClimax-type granite-molybdenum systems.Contributions to Mineralogy and Petrology, 93,347358. 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