Contrib Mineral Petrol (2010) 160:313–325 DOI 10.1007/s00410-009-0479-1 ORIGINAL PAPER The role of H2O in rapid emplacement and crystallization of granite pegmatites: resolving the paradox of large crystals in highly undercooled melts Peter I. Nabelek • Alan G. Whittington Mona-Liza C. Sirbescu • Received: 1 July 2009 / Accepted: 5 December 2009 / Published online: 25 December 2009 Ó Springer-Verlag 2009 Abstract Granite pegmatite sheets in the continental crust are characterized by very large crystals. There has been a shift in viewing pegmatites as products of very slow cooling of granite melts to viewing them as products of crystal growth in undercooled liquids. With this shift there has been a renewed debate about the role of H2O in the petrogenesis of pegmatites. Based on data on nucleation of minerals and new viscosity models for hydrous granite melts, it is argued that H2O is the essential component in the petrogenesis of granite pegmatites. H2O is key to reducing the viscosity of granite melts, which enhances their transport within the crust. It also dramatically reduces the glass transition temperature, which permits crystallization of melts at hundreds of degrees below the thermodynamic solidus, which has been demonstrated by fluid inclusion studies and other geothermometers. Published experimental data show that because H2O drastically reduces the nucleation rates of silicate minerals, the minerals may not be able to nucleate until melt is substantially undercooled. In a rapidly cooling intrusion, nucleation starts at its highly undercooled margins, followed by inward crystal growth towards its slower-cooling, hotter core. Delay in nucleation may be caused by competition for crystallization by several minerals in the near-eutectic melts and by the very different structures of minerals and the highly hydrated melts. Once a mineral nucleates, however, it may grow rapidly to a size that is determined by the distance between the site of nucleation and the point in the magma at which the temperature is approximately that of the mineral’s liquidus, assuming components necessary for mineral growth are available along the growth path. Granite pegmatites are apparently able to retain H2O during most of their crystallization histories within the confinement of their wall rocks. Pegmatitic texture is a consequence of delayed nucleation and rapid growth at large undercooling, both of which are facilitated by high H2O (±Li, B, F and P) contents in granite pegmatite melts. Without retention of H2O the conditions for pegmatitic textural growth may be difficult to achieve. Loss of H2O due to decompression and venting leads to microcrystalline texture and potentially glass during rapid cooling as seen in rhyolites. In contrast, slow cooling within a large magma chamber promotes continuous exsolution of H2O from crystallizing magma, growth of equant crystals, and final solidification at the thermodynamic solidus. These are the characteristics of normal granites that distinguish them from pegmatites. Communicated by T. L. Grove. Introduction P. I. Nabelek (&) A. G. Whittington Department of Geological Sciences, University of Missouri, Columbia, MO 65211, USA e-mail: [email protected] M.-L. C. Sirbescu Department of Geology, Central Michigan University, 314 Brooks Hall, Mount Pleasant, MI 48859, USA Keywords Granite Pegmatite H2O Undercooling Nucleation Crystal growth Granite pegmatites in the upper crust typically occur as tabular sheets, either dikes or sills, ranging in thickness from centimeters to decameters. They occur in a variety of host rocks, including metamorphic rocks and other plutons. For example, in the San Diego County of California, USA, Li–Cs–Ta-type (LCT) pegmatites occur mostly as 123 314 subhorizontal sheets within calc-alkaline plutons of the Mesozoic Peninsular Ranges batholith. These sheets served as a foundation for the classic pegmatite crystallization model of Jahns and Burnham (1969) in which H2O plays a prominent role in differentiation of pegmatites. In the Black Hills of South Dakota, USA, granite pegmatites occur as sheets within schists of the Proterozoic Black Hills orogen (Norton and Redden 1990). They occur as individual sheets or multiple sheets constructing plutons (Duke et al. 1988; Rockhold et al. 1987). Large variations in crystal size, elongated crystal shapes, and strong mineralogical and chemical zoning across sheets, are a hallmark of most granite pegmatites (Jahns and Tuttle 1963; London 1996). The zoning may include a rhythmically crystallized aplitic border zone, pegmatite zone(s), and pockets (Fig. 1). Pockets represent the space that was once filled by accumulated supercritical fluid. Pockets occur only in some pegmatite districts, as in San Diego County, where sheets have intruded impermeable granitic rocks at relatively low pressures. In other districts, such as the Black Hills, where pegmatites were emplaced at relatively high pressures, pockets do not occur. Pegmatites can range from simple to highly zoned even in single districts and the texture of individual sheets is often asymmetric as are the mineral zones (Norton and Redden 1990). When an aplite border zone (commonly called ‘‘line-rock’’ because of its rhythmic variation in mineral modes) is present, it is most prevalent at the bottoms of sheets. Rockhold et al. (1987) proposed that a line-rock is generated by enrichments of rejected, slowly diffusing components such as B, Mg, and Fe ahead of the crystallization front of quartz and plagioclase that lead to rhythmic saturation of tourmaline or garnet. In pegmatites minerals typically grow inward, perpendicularly to contacts, and blades of minerals such as tourmaline and spodumene often grow radially on preexisting substrates (Fig. 1). The fact that crystals grow inward and are rarely broken, except by late hydrothermal fractures, demonstrates that granite pegmatites are emplaced wholly as liquids rather than partially crystallized magmas. Elongated crystals and mineral zones in pegmatite sheets are inherently disequilibrium features. They show that after emplacement, pegmatites crystallize very rapidly. Large ranges in d7Li in tourmalines across individual pegmatite sheets suggest kinetic control on Li isotope fractionation and crystallization rates that exceed the diffusion rate of Li (Maloney et al. 2008). The range of crystallization temperatures of individual sheets can be spectacularly large, from[700°C to\400°C. The liquidus temperatures come from stable isotope fractionations among minerals in line-rock portions of aplite–pegmatite sheets (Nabelek et al. 1992) and remelting of crystal-rich melt inclusions (Sirbescu et al. 2008). They 123 Contrib Mineral Petrol (2010) 160:313–325 Fig. 1 Illustration of some crystal growth features in granite pegmatites. a Section of a Jacumba sheet in the San Diego pegmatite district, California. Lower portion is aplitic with banding (line-rock) highlighted by tourmaline. Above the aplite is a pegmatite zone. Black minerals are tourmaline. A chisel is shown for scale. b Top portion of the Stewart dike in the San Diego pegmatite district showing several pegmatite zones, each apparently nucleated on a thin aplitic band, and each of which may indicate intrusion of a new pulse of magma or a new episode of nucleation and growth in a single sheet. Note the unidirectional growth of black tourmaline blades. A hammer is shown for scale. c Radially grown tourmaline blades in the Carol Creek pegmatite, Black Hills, South Dakota. The blades appear to have nucleated on a relatively fine-grained muscovite-rich layer which wraps around a large K-feldspar crystal. The tourmaline blades are *20-cm long are also consistent with temperatures of muscovite dehydration-melting of schists (Patiño-Douce and Harris 1998), and they imply that at least some pegmatites may be partial Contrib Mineral Petrol (2010) 160:313–325 melts instead of late-stage differentiates of parental granite magmas. Occurrence of multitudes of subvertical pegmatite dikes in the Black Hills, some of which may have been feeders for granite plutons, suggests that they were melts that ascended through the folded metasedimentary host rocks directly from a source region. Similar pegmatite dikes occur in the high Proterozoic walls of the Black Canyon of the Gunnison in Colorado. Extremely large differences between d7Li of pegmatites and nearby leucogranites preclude simple fractionation relationships between parental granites and pegmatites (Maloney et al. 2008; Teng et al. 2006a). Solidification temperatures \400°C are clearly below the equilibrium solidus of a H2O-saturated granite, yet there is very good evidence that they occur. The evidence includes coexisting high and low-density primary fluid inclusions and melt inclusions in meter to decameter-thick pegmatite sheets (Sirbescu and Nabelek 2003a; Sirbescu et al. 2008; Thomas et al. 1988), oxygen isotope fractionation between quartz and K-feldspar from cores of pegmatite sheets (Nabelek et al. 1992; Taylor and Friedrichsen 1983) and feldspar thermometry (Morgan and London 1999). Lack of tartan twinning in K-feldspar implies that K-feldspar crystallized below the monoclinic–triclinic inversion. Estimated solidification durations for pegmatite dikes range from a few days for meter-thick sheets to several years for tens of meters thick sheets, depending also on the country rock temperature (Chakoumakos and Lumpkin 1990; Morgan and London 1999; Simmons and Webber 2008; Sirbescu et al. 2008). Although there has been a paradigm shift from viewing pegmatites as very slowly crystallized melts to viewing them as melts whose crystallization is driven by kinetic effects due to boundary layer enrichments and undercooling (Baker and Freda 1999, 2001; London 1992, 1996, 2005, 2009; Rockhold et al. 1987; Sirbescu et al. 2008), and/or as melts that have unusual chemical properties that allows them to exist at very low temperatures (Sirbescu and Nabelek 2003a; Thomas et al. 1988, 2000), the essential role of H2O in their petrogenesis that was underscored by Jahns and Burnham (1969) has recently been downplayed in favor of diffusion control that may involve constitutional zone-refining by a moving fluxed boundary layer through a viscous undercooled melt (London 2005, 2009; Morgan and London 1999). This model relies on accumulation of fluxing components ahead of the crystallization front as a means of producing large crystals by enhancing the lateral diffusive removal of rejected components from the growing crystal interface. We argue here, however, that H2O remains the key component of pegmatites because it controls two critical aspects of pegmatite petrogenesis: (1) rapid, supraliquidus emplacement, and (2) rapid growth of large crystals below 315 the equilibrium solidus. The presented model is based on published experimental data pertaining to dynamic crystallization and bubble formation in silicate melts and recent models for viscosities of silicate melts. The petrogenetic model is supported by data from the San Diego County, Black Hills, and Wisconsin pegmatite districts that have been studied by the authors. Rapid emplacement of pegmatite sheets Emplacement of granite pegmatite sheets as liquids implies that they must be emplaced rapidly without cooling below their liquidi, in spite of the frequent \400°C temperatures of host rocks. Pegmatite sheets in the San Diego County are subhorizontal within brittle fractures and are fairly regularly spaced and mutual crosscutting is infrequent (Jahns and Tuttle 1963). As exposed, the sheets are continuous in excess of hundreds of meters. The sheets were emplaced at 200–300 MPa based on densities of fluid inclusions trapped in pockets within the sheets (London 1986). In the Black Hills, most sheets are sub-vertical to vertical following the regional foliation and conjugate joints in metapelites and metagraywackes (Norton and Redden 1990). In map view they are tabular to lenticular sheets that are often hundreds of meters long but their vertical extent is unknown. However, some of the largest zoned pegmatites have subhorizontal attitudes that either cut across the generally vertical foliation or they follow reoriented foliation. Most of these are \15 m thick, although some are thicker. The large, zoned pegmatites appear to represent accumulated liquids along pinched and swelled flow paths. The Black Hills pegmatites were emplaced at 350–450 MPa, based on mineral assemblages in the host metamorphic rocks (Nabelek et al. 2006). Many have extensive metasomatic aureoles characterized by elevated Li and B concentrations that represent expulsion of fluids at some stage of the pegmatites’ solidification (Shearer et al. 1984; Teng et al. 2006b; Wilke et al. 2002). Rubin (1995) showed that the distance over which magma can propagate through dikes depends on the temperature gradient along the flow path. A large temperature gradient depresses the travel distance because the melt cools faster and eventually stiffens because of crystallization or increase in melt viscosity, preventing further transport. Dike flow is essentially reduced to the ratio of the rate at which the melt stiffens at the propagating tip of the dike relative to the supply rate of the melt at the source. Using Rubin’s (1995) model, Baker (1998) calculated that a 700°C hydrous melt dike with viscosity of *106 Pa s that stiffens at 650°C should be *1 km long in a temperature gradient of 100°C/km that may occur in the vicinity of a large pluton. Thus, pegmatite sheets must 123 316 Contrib Mineral Petrol (2010) 160:313–325 remain liquid even as they travel along high dT/dx gradients until their flow is arrested. The most recent model for viscosity of very hydrous granite melts (6–12 wt% H2O) suggests that viscosities of pegmatites should be on the order of 103 to 105 Pa s at *700°C, depending on water content (Fig. 2; Whittington et al. 2009), so their mobility should be significantly higher than predicted by Baker (1998). Elements that are unusually abundant in pegmatite melts, including Li and B, can further reduce viscosities of silicate melts. Estimated Li2O concentrations in pegmatite liquids range from 1,300 ppm in San Diego dikes (Maloney et al. 2008) to [1 wt% in large spodumene-bearing pegmatites (Norton 1994). The addition of 1 wt% of excess Li2O to a haplogranite melt lowers the viscosity by about one order of magnitude (Hess et al. 1995). However, Li-bearing pegmatite liquids may be slightly peraluminous to metaluminous, so a better comparison is with lithium-bearing metaluminous melts. Measurements on supercooled anhydrous liquids show that LiAlSi3O8 liquid has three orders of magnitude lower viscosity than NaAlSi3O8 liquid at 800°C, and the viscosity of spodumene (LiAlSi2O6) liquid is almost another factor of ten lower still (Hofmeister et al. 2009). The addition of [0.5 wt% B2O3 can cause more than a tenfold decrease in the viscosity of a granite melt, especially in the temperature range at which granite pegmatites crystallize (Dingwell et al. 1992). In the Calamity Peak aplite-pegmatite complex, Black Hills, most samples have 0.5–1 wt% B2O3 (Duke et al. 1992; Rockhold et al. 1987). These concentrations should be considered to be the minimum for the parent melt because unless all initial B is contained in the crystallized tourmaline, B is bound to be carried into the wall rocks by 10 800 fluids upon crystallization (Shearer et al. 1984; Wilke et al. 2002). Furthermore, the components F, B2O3 and P2O5 all increase the solubility of H2O in granite melts (Holtz et al. 1993). Thus high H2O, Li, and B concentrations in pegmatite liquids may reduce viscosity by several orders of magnitude more compared to values used by Baker (1998) and therefore favor rapid emplacement of sheets within the crust, especially if potential pathways such as vertical foliation and/or joint sets are available to reduce the magma pressure necessary for propagation of dike fractures. Because flow velocity is inversely proportional to viscosity, orders of magnitude viscosity decrease will result in a proportional velocity increase. The common implicit assumption in models for melt ascent as dikes is that any cooling along the flow path will result in crystallization and therefore stiffening of the magma. That, however, is not necessarily the case for silicate liquids because their liquidi typically have positive dT/dP slopes (Fig. 2; Holtz et al. 2001; Johannes and Holtz 1996). H2O solubility isopleths are nearly horizontal at mid to upper-crustal pressures. Consider a melt with 6 wt% H2O generated at 550 MPa and at a temperature just above its liquidus. If this melt ascends rapidly and adiabatically as a dike to a lower pressure, it will become effectively superheated. If its ascent is arrested at P [ 200 MPa, it will remain H2O-unsaturated. If it ascends to \200 MPa, it should become H2O-saturated and will be superheated by *50°C. The superheating provides a mechanism for emplacement of low-viscosity H2O-bearing granite melts without crystallization during ascent. As long as the ascent rate is fast enough to preclude significant cooling, a pegmatite dike will remain wholly liquid. Moreover, any 8 6 4 2 1 10 4 10 2 pressure (MPa) 600 10 6 10 400 8 10 8 6 1010 200 0 4 1012 2 0 400 500 600 700 800 900 1000 temperature (ºC) Fig. 2 Phase relationships of granite (after Holtz et al. 2001) and melt viscosities, calculated using the water solubility model of Zhang et al. (2007) combined with viscosity model for peraluminous granites from Whittington et al. (2009). Heavy line is the granite solidus in the presence of H2O fluid. Solid diagonal lines are granite liquidi as function of wt% of H2O in the system (marked near top of each line). 123 Subhorizontal dashed lines are H2O solubilities in granite melt (in wt% indicated by bold letters). Curved gray solid lines are viscosities with values in Pa s marked by italics. The heaviest, partially dashed line with arrow shows a path of a pegmatites melt discussed in the text Contrib Mineral Petrol (2010) 160:313–325 Undercooled crystallization of hydrous magma Equilibrium phase diagrams for a haplogranite melt at 200 and 300 MPa are shown in Fig. 3 (after Holtz et al. 2001). The phase relations are effectively eutectic. The liquidi and solidi correspond to the phase relations in Fig. 2. The negative slope of the melt - melt ? vapor boundary arises from increasing solubility of melt components in vapor with increasing temperature. The phase diagrams show that under equilibrium conditions, melt with 6 wt% H2O that is at 725°C and 300 MPa is initially above the liquidus, but only *14% crystallization is needed before the magma reaches the eutectic and becomes H2O-saturated. Crystallization of an already H2O-saturated melt at 200 MPa is effectively wholly eutectic, meaning that all melt will crystallize at 680°C. Thus, under equilibrium conditions, crystallization of a melt with 6 or more wt% H2O should be accompanied by the presence of a separate vapor phase along most of its crystallization path. 1000 300 MPa 200 MPa melt 900 vapor + melt 800 104 Pa·s crystals + melt temperature (˚C) crystal nuclei or polymer structures that resemble structures of liquidus minerals that may have existed in the melt may become eliminated with increased superheating during decompression. During decompression when a H2O-saturation isopleth is exceeded, bubbles should form under equilibrium conditions. However, experiments on rhyolite melts show that an effective supersaturation pressure of 120–150 MPa is needed for homogeneous bubble nucleation to occur and the melt can retain as much as twice the equilibrium H2O concentration during ascent (Mangan and Sisson 2000). Baker et al. (2006) observed rapid nucleation of bubbles in albite melt upon 100–150 MPa decompression from 550 MPa when the melt was held at 1,200°C. However, decompression of the melt at 800°C produced only small bubbles that did not change in size or amount even after 32 h at the lower pressure. Baker et al. (2006) attributed the difference to change in viscosity of the melt and/or water diffusion, estimated to be 20 Pa s and 5 9 10-11 m2 s-1, respectively at 1,200°C and 9,000 Pa s and 2910-13 m2 s-1 at 800°C. Thus a pegmatite melt with a viscosity of 103 to 105 Pa s that is under a confining pressure of its wall rocks should be inhibited from losing its H2O prior to crystallization, which begins only after melt transport is arrested. Indeed, there is scant evidence that pegmatite melts become H2O-saturated prior to crystallization. Once crystallization begins, however, bubble nucleation should become easier as bubbles can nucleate heterogeneously on growing crystals (Hurwitz and Navon 1994; Mangan et al. 2004). Heterogeneous nucleation of bubbles is evident by the presence of primary fluid inclusions trapped in pegmatite minerals (Sirbescu and Nabelek 2003b; Thomas et al. 1988). 317 700 crystals + vapor 600 106 Pa·s 500 400 supercooled melt 1012 Pa·s glass 300 0 2 4 6 wt.% H2O in system 8 10 Fig. 3 Temperature–wt% H2O diagram for a haplogranite at 200 MPa (dashed lines) and 300 MPa (solid lines) (after Johannes and Holtz 1996; Holtz et al. 2001). Gray curved lines are viscosities of peraluminous granite calculated using the model of Whittington et al. (2009). A viscosity of 1012 Pa s is considered to be the onset of glass transition. At temperatures above the glass transition, a supercooled melt can exist metastably below the equilibrium solidus. Heavy black line with dot and arrow shows an equilibrium crystallization path of a melt as discussed in the text Equilibrium phase relationships may, however, have only a limited importance to crystallization and exsolution of a vapor phase in highly undercooled pegmatite liquids. The term ‘‘undercooling’’ (DT) is used here in its usual sense as the difference between the liquidus temperature of a mineral and the actual temperature of magma. In a highly undercooled system, the equilibrium liquidus and solidus lose their importance as crystal nucleation is retarded and kinetic effects, especially diffusion of mineral constituents in the melt, begin to gain importance. In general, there are maxima in nucleation and growth rates of minerals at different amounts of undercooling (Fig. 4; Fenn 1977; Lofgren 1974). In dry systems, at small undercooling a few nuclei will grow slowly into euhedral crystals. At larger undercooling many nuclei will grow relatively fast into small elongated crystals. At very large undercooling where diffusion rates in melt become extremely slow, very few crystals will form and the melt will become glass if it is cooled below the glass transition temperature (Tg), which corresponds approximately to the melt reaching a viscosity of 1012 Pa s. For anhydrous granite liquids Tg is *850°C but for H2O concentrations of [6.5 wt% it is \350°C (Fig. 3). 123 318 Contrib Mineral Petrol (2010) 160:313–325 0 x 103 nuclei/cm3 x 10-6 cm/sec 2 4 0 x 103 nuclei/cm3 x 10-6 cm/sec 2 4 0 undercooling (ΔT) 4.3% H2O 9.5% H2O 100 200 300 nucleation density growth rate 400 Fig. 4 Nucleation densities and growth rates in an alkali feldspar melt (Ab70Or30) as a function of undercooling (DT), as determined by Fenn (1977). His results also show consistent decrease in nucleation density with addition of H2O for melts with higher and lower Na/K ratios Aplite–pegmatite transition The crystal size in rhythmic bands (line-rock) that occur in aplite portions of aplite–pegmatite sheets is consistent with high nucleation rates that occur in highly undercooled, relatively dry systems. Millimeter to centimeter-scale banding that occurs along walls of subvertical granite– pegmatite sheets or upper walls of subhorizontal sheets cannot be attributed to a sedimentary process within the sheets. An Ostwald ripening process, where smaller crystals of a mineral become unstable relative to larger crystals of the mineral, could potentially result in bands where the mineral is enriched and depleted (Boudreau and McBirney 1997). However, in undercooled systems, where the difference between the Gibbs free energy of a mineral that should be crystallizing and the melt is large and negative, dissolution of already-formed crystal nuclei is difficult. Rhythmic banding in aplite-pegmatite sheets can best be ascribed to depletions and enrichments of slow-diffusing mineral species at interfaces of growing minerals as have been observed in crystal-growth experiments (Donaldson 1975). For example, consider a line-rock in the sheets that make up the Calamity Peak pluton. The line-rock is primarily defined by abundance of schorl tourmaline, whereas the proportion of other phases is subequal in dark and light bands (Rockhold et al. 1987). In a few places near schist inliers the banding is defined by almandine-spessartine garnet instead of tourmaline. Garnet also defines line-rock in some pegmatites in San Diego County (Kleck and Foord 1999; Webber et al. 1999). These banding patterns are consistent with slow diffusion of Fe, Mg, and Mn in silicate melts in comparison with alkali elements, especially Li and 123 Na, which diffuse orders of magnitude more rapidly (Acosta-Vigil et al. 2005; Dunn and Ratliffe 1990; Watson, 1982). Chemical diffusion of B that involves exchange with Si in the melt structure is also very slow (Chakraborty et al. 1993). Therefore, crystallization of tourmaline will lead to depletion of divalent cations and potentially B in a boundary layer ahead of the tourmaline crystallization front as these elements will not have time to be replenished in the boundary layer during cooling (Rockhold et al. 1987; Webber et al. 1997). Tourmaline crystallization will cease until temperature will drop sufficiently at some distance away from the heat-dissipation boundary where the concentration of constituents necessary for tourmaline crystallization is again sufficiently high. Experiments on peraluminous leucogranites similar in composition to tourmaline-bearing pegmatites show that they are nearly multiply saturated on the liquidus with tourmaline, plagioclase, quartz, and K-feldspar at high H2O concentrations (Scaillet et al. 1995). Therefore, cessation and reactivation of tourmaline crystallization in particular is consistent with concentration gradients of the slowest-diffusing elements, which moreover are only minor components in a typical granite melt. In a sheet emplaced into colder rocks, the melt at the margins will be undercooled the most so that many nuclei may form to generate an aplite. Following initial undercooled crystallization, the rate of temperature decrease may be moderated by heat of crystallization. A more hydrous residual liquid that will concentrate toward the center of a sheet may in fact crystallize at a higher temperature than the liquid at the margins. Evidence for this pattern of crystallization temperature comes from the Animikie Red Ace pegmatite, Wisconsin, where primary fluid inclusions were trapped at the margins at *480°C, that is at *240°C of undercooling, and are then postdated by secondary inclusions that were trapped between 580 and 720°C and that represent fluid exsolved from the hotter, later-crystallized core of the sheet (Fig. 5; Sirbescu et al. 2008). This trend in trapping temperatures is consistent with crystallization of a conductively-cooled pegmatite sheet emplaced into colder wall rocks. A similar trend is apparent for the San Diego dikes, in which primary inclusions in wall zones suggest colder fluid-trapping temperatures than in intermediate pegmatite zones. However, in the core and pocket zones the temperatures are similar to temperatures in the wall zones, suggesting a delayed crystallization of the inner zones, probably in the presence of accumulated exsolved vapor. There is a marked increase in the size of quartzhosted fluid inclusions by one to two orders of magnitude in the inner zones of the pegmatites compared to the marginal zones, which generally correlates with an increase of crystal size. These textural changes may mark the occurrence of massive fluid exsolution. Contrib Mineral Petrol (2010) 160:313–325 319 5 pressure(kbar) 4 BI 3 2 c wz TM wz ARA CG + LT p c iz 300 400 1 0 200 500 600 700 800 temperature (˚C) Fig. 5 Fluid inclusion constraints on the conditions of crystallization for five granite pegmatites: TM Tin Mountain and BI Bob Ingersol, Black Hills, South Dakota (Sirbescu and Nabelek 2003b); ARA Animikie Red Ace, WI (Sirbescu et al. 2008); CG Cryo-Genie and LT Little Three, San Diego County, California (Lyter and Sirbescu 2006 and unpublished data). Pegmatite zones: wz wall zone, iz intermediate zone, c core, and p pocket zone. P–T paths of crystallization are suggested by arrows. The crystallization temperatures are represented by fields of inclusion isochores (trapezoid shapes) limited by pressures estimated from independent methods. The dashed portions of the isochoric fields are uncertain crystallization conditions because they were constructed based on secondary inclusions (core of ARA) or inclusions of ambiguous primary character (wz of CG and LT). TM crystallization conditions (oval shape) are on the solvus of a CO2(H2O?NaCl) fluid In thicker sheets such as the Tin Mountain and Bob Ingersoll pegmatites in the Black Hills, the apparent trapping temperatures of primary inclusions, and hence crystallization temperatures of the host minerals, are more homogeneous. Nevertheless, rapid growth of the large crystals in such thick pegmatites is indicated by their often radial growth morphology (Fig. 1c) and by captured low and high-density primary fluid inclusions together with melt inclusions (Sirbescu and Nabelek 2003b; Thomas et al. 1988). Role of H2O in depressing crystal nucleation A critical question is why growth of large crystals that characterize pegmatites occurs at very large DT’s and not near equilibrium temperatures even in cores of large pegmatites that must cool at a slower rate than the margins? A 2.5 m dike cools in 2 weeks from 720 to 410°C at the margins but only to 590°C in the core when emplaced into 220°C host rocks (Sirbescu et al. 2008). Crystal growth in undercooled melts has been addressed in numerous previous studies (e.g. Dowty 1980; Lofgren and Donaldson 1975), and has frequently been used to explain mineral morphologies in granite pegmatites (e.g. Baker and Freda 1999, 2001; London 2005, 2009; Webber et al. 1999). Although the role of H2O in promoting the morphologic features of pegmatites has recently been deemphasized in favor of a diffusion-controlled process (London 2005, 2008, 2009; Morgan and London 1999), we nevertheless suggest that H2O plays a critical role in delaying mineral nucleation to large DT’s, which then results in rapid growth of large crystals. Crystal growth experiments on alkali feldspars in hydrous melts demonstrate a strong effect of H2O on the rate of nucleation (Fig. 4; Fenn 1977). For a given feldspar composition, the maximum in nucleation density dramatically decreases in magnitude and occurs at a smaller DT relative to the feldspar liquidus with increasing H2O, while remaining at approximately the same absolute T. We suggest that it is the difficulty of mineral nucleation in melts that retain their H2O that causes undercooling even in thick sheets of pegmatite liquids that may cool relatively slowly. Indeed, without seeding experimental charges or inducing nucleation by temperature cycling, experimentalists often have difficulty producing any crystallization in hydrous granitic melts, even if experimental charges are held for many days at undercooled temperatures (e.g., Baker and Freda 2001; Fenn 1977; Swanson and Fenn 1986). Experiments on komatiite melts show that nucleation rate is dramatically decreased while the growth rate is increased when the melts are hydrated and this leads to development of spinifex texture (Grove et al. 2002; Grove and Parman 2006). The longest olivine crystals grew in centers of experimental charges where nucleation was depressed the most due to accumulation of H2O. New experiments on the haplogranite–B–Li–H2O system at 300 MPa show that crystal nucleation is sluggish at temperatures between liquidus and glass transition (Sirbescu et al. 2009b). For example, time-series of isothermalisobaric, unseeded experiments constrained nucleation delays between 9 and 14 days for a haplogranite melt containing 2% Li2O, 4.6% B2O3 and 6.5% H2O at 400°C. The nucleation delay exceeded 14 days for haplogranite with only 1% Li2O, 2.3% B2O3 and 6.5% H2O at 400°C. The results also suggest that water supersaturation reduces the nucleation density, but it enhances crystal growth. There may be two reasons for the apparent inability of minerals to nucleate and grow near their equilibrium crystallization conditions in pegmatite melts. The first reason is that the structure of a very hydrous silicate melt is very different from the structure of the mostly anhydrous minerals attempting to nucleate from it, so that there are fewer polymer structures in the melt that can readily develop into crystal nuclei. Water dissolves in silicate melts and glasses in two species, hydroxyl (OH-) and molecular water (H2Om), with the former dominating at low water contents and the latter being more abundant at high water contents (Stolper 1982). However, water speciation in melts moves towards increasing OH- content with increasing temperature (Nowak and Behrens 1995; 123 320 Growth of large elongated crystals Figure 7 shows schematically how delayed crystal nucleation in an undercooled melt can lead to unidirectional 123 ~700 rate ~660 rate temperature ( C) Shen and Keppler 1995). The effects of water dissolution on aluminosilicate glass structure, and presumably melt, include depolymerization to form Si–OH and Al–OH groups, protonation of bridging oxygens, and formation of alkali hydroxides (e.g. Robert et al. 2001; Schmidt et al. 2001; Xue and Kanzaki 2006). All of these dissolution mechanisms require dissociation of H2Om to form OH-, and produce structures that are not found in anhydrous silicates, including quartz or feldspar. Therefore, OH- that is present in very hydrous melts will hinder nucleation of framework silicate minerals. For pegmatites in particular, the presence of significant quantities of other elements, such as B, F and P, further complicates the melt structure and inhibits nucleation of aluminosilicate minerals. The second reason is that because pegmatite melts have essentially eutectic compositions, there is a competition among several minerals for appropriate polymers with the consequent inability of any of the competing minerals to nucleate. This ‘‘principle of confusion’’ is well known in the literature on metallic glasses, and the effect is pronounced when rival cations have very different sizes (Greer 1993). In the case of Li-bearing pegmatite melts, the presence of large amounts of Li competing with Na and K may be significant. Due to its low atomic weight, 1 wt% Li2O is equivalent to *2 mol.%, comparable with *5 mol.% Na2O and *3 mol.% K2O in a typical minimum melt granite composition. Transitions from aplite border zones to pegmatite zones that occur in some pegmatite sheets represent transitions from zones of high nucleation density and rapid growth to zones of low nucleation density and even more rapid crystal growth (Webber et al. 1999), as schematically shown in Fig. 6. Noting that aplite line-rock usually occurs on the bottoms of sheets, Jahns and Burnham (1969) and Burnham and Nekvasil (1986) suggested that vertical bubble transport may be responsible for this and other asymmetries in horizontal sheets. Indeed, bubbles generated at the crystallization front at the bottom of the sheet are expected to move upward away from the front, whereas at the top of the sheet generated bubbles are expected to migrate in opposite direction from the downward-propagating crystallization front, thus keeping the top of the sheet saturated in H2O vapor. The asymmetry cannot be ascribed to vertical transport of dissolved H2O in melt because its diffusion rate is too slow (*10-11 m2/s at 700°C; Zhang and Behrens 2000) compared to the diffusion rate of heat in silicic melt (*0.6 9 10-6 m2/s; Hofmeister et al. 2009), which will control its cooling rate. Contrib Mineral Petrol (2010) 160:313–325 º ~350 aplite growth nucleation pegmatite Fig. 6 Schematic illustration showing how rapid undercooling of an initially H2O-undersaturated margin of a granite dike can lead to high nucleation density and development of aplite. With build-up of H2O ahead of the aplite crystallization front, the nucleation density will be diminished, eventually resulting in the development of only few crystal nuclei that can grow into large crystals. The vertical axis is labeled with absolute temperature instead of undercooling that was used in Fig. 4. Approximate liquidus and glass transition temperatures are shown. The small difference in liquidus temperatures of aplite and pegmatite reflects the effect of higher activity of H2O in pegmatite. The gray fields show crystallization regimes that are consistent with indicators of crystallization temperatures discussed in the text rapid growth of large crystals and to mineral zones in pegmatites. Consider tourmaline that nucleates below its liquidus at its nucleation temperature at a time t1 after emplacement of a pegmatite sheet. The nucleation will probably be heterogeneous on the walls of the sheet. Once nucleated, the crystal will grow rapidly inward into the sheet, to a distance at which the temperature in the melt is approximately that of tourmaline’s liquidus or a distance where the boundary layer enriched in rejected components forming ahead of the growing tourmaline will prevent its further growth. In essence, the size of the crystals will be determined by the distance between the nucleation temperature and liquidus temperature of the mineral along the temperature profile in the sheet at the time of the mineral’s nucleation and growth, assuming the mineral’s components are available for its growth along the whole distance. Following this episode of growth of tourmaline, there will probably be only a short time-period before another mineral, for example albite, will begin to grow in the interstices of the tourmaline at time t2 when albite is able to nucleate. Once nucleated, it will grow to a distance at which the temperature in the sheet is approximately that of its liquidus temperature. It is also possible that the two minerals will grow at the same time. On the new crystallization front, there may be a new episode of growth of tourmaline at t3 when temperature at the new front will again drop to the nucleation temperature of tourmaline after some hiatus in time. Growth of a new mineral, for example K-feldspar, may begin shortly after at t4 when it is able to nucleate. Subsequently, another episode of mineral growth will begin on new crystallization front. As a consequence of the flattening of the temperature profile with Contrib Mineral Petrol (2010) 160:313–325 wall 321 t1 center wall t2 center o temperature temperature liquidus of tourmaline nucleation T of tourmaline liquidus of albite nucleation T of albite distance into center of sheet t3 center liquidus of tourmaline nucleation T of tourmaline distance into center of sheet wall temperature temperature wall distance into center of sheet t4 center liquidus of K-feldspar nucleation T of K-feldspar distance into center of sheet Fig. 7 Schematic diagram showing how undercooling can result in growth of large crystals and mineral zones within pegmatite sheets. Each set of panels represents time at which growth of a mineral begins (t1, t2, t3, t4). The top panel of each set shows growth of a mineral toward the center of a sheet. The bottom panel of each set shows the temperature profile at each time. Thick black line is the temperature profile at time tx and thin dashed line is temperature profile from previous time, shown for reference. A mineral will begin to grow when the temperature at a nucleation side drops sufficiently for the mineral to nucleate. The length of each crystal that begins to grow at a particular time (t1, t2, etc.) will be limited by the distance between the site of the mineral’s nucleation and the position of its liquidus temperature within the sheet. The figure shows a case that is discussed in the text: crystallization of the pegmatite begins with growth of tourmaline at t1, and is followed shorty by crystallization of albite at t2 between the tourmaline crystals. After a hiatus in time when temperature at the crystallization front drops to the heterogeneous nucleation temperature of tourmaline, tourmaline begins to grow again from the crystallization front toward center of the sheet, and its growth is followed shortly by growth of K-feldspar around the tourmaline. This episodic growth is then followed by a new generation of crystals at t5 (not shown) time, later generations of crystals should become longer, which is a frequent feature of zoned pegmatites. Boundary layer enrichments of slowly diffusing components ahead of crystallizing feldspars and quartz may be important in promoting rapid crystallization of minerals such as tourmaline, garnet, or apatite because a boundary layer enriched in these components will effectively raise the liquidi of these minerals and hence induce larger DT’s. For example, reoccurrence in layers and rhythmic variations in Fe/Mn ratios in garnet in the George Ashley Block pegmatite, San Diego County (Kleck and Foord 1999) and in Ca/Mn ratios in apatite in the Animikie Red Ace pegmatite (Sirbescu et al. 2009a, b) may be the consequence of boundary layers enriched in Fe, Mn, Ca, and P. We believe that this delayed nucleation model explains features such as growth of tourmaline blades on a crystal of K-feldspar (Fig. 1c), reoccurrence of individual minerals in multiple zones with widely variable crystal dimensions (Fig. 1b), zoning defined by growth of new minerals, and growth directions that are generally perpendicular to contacts of pegmatite sheets. Crystallization below the thermodynamic solidus Aside from causing delays in mineral nucleation, another critical aspect of H2O in granite pegmatites is that it permits growth of crystals at temperatures deeply below the thermodynamic solidus. In contrast to dry rhyolites, 123 322 which upon rapid undercooling develop a very finegrained matrix, large crystals are able to grow from pegmatite liquids at apparently highly undercooled conditions. H2O strongly depresses the Tg of silicate liquids (Fig. 3). For example, Tg of an albite melt with only 6 wt% H2O is 360°C, whereas Tg of a dry albite melt is 820°C (Romano et al. 1994; Whittington et al. 2009) and Tg of a haplogranite with 5 wt% H2O is depressed by 400°C relative to an anhydrous haplogranite (Dingwell et al. 1996). The effect of other fluxes on Tg of silicate melts is less well known but Tg of B2O3 is only 284°C (Moynihan 1995). Baker and Freda (2001) demonstrated experimentally the ability of K-feldspar and quartz to grow in hydrous eutectic melts at DT of 200°C at 540°C. They were able to reproduce small versions of textures seen in granite pegmatites. We suggest that the very low Tg’s of hydrous silicate melts allow growth of large crystals at highly undercooled conditions, particularly in centers of sheets where other fluxing components that lower silicate melt viscosity, particularly Li, may be accumulated by fractional crystallization. Discussion The shift in viewing granite pegmatite sheets as products of very slow cooling of magma to viewing them as products of rapidly cooled intrusions is fundamentally based on the simple fact that when emplaced into relatively cold rocks, pegmatite sheets must cool rapidly (Chakoumakos and Lumpkin 1990; Morgan and London 1999; Sirbescu et al. 2008; Webber et al. 1999). It is during undercooling that kinetically-controlled crystal growth becomes important (Rockhold et al. 1987; Webber et al. 1999). The postulated importance of water in the petrogenesis of pegmatites by Jahns and Burnham (1969) has not diminished since their model was proposed, but in fact becomes more important because it allows crystals to grow in highly undercooled granite melts that can remain liquid at hundreds of degrees below the equilibrium solidus for extended periods of time. Moreover, water appears to promote rapid growth of large crystals because it drastically diminishes the rate of nucleation so that the few nuclei that eventually grow into large crystals do not form until the melt is highly undercooled. Recent viscosity models for hydrous granite melts (e.g. Whittington et al. 2009) and data for Li-bearing melts (Hofmeister et al. 2009) suggest that the transport distance of pegmatite melts should be significantly larger than previously estimated. If during ascent bubbles have difficulty nucleating and growing at equilibrium saturation pressures (Baker et al. 2006; Mangan and Sisson 2000), pegmatite melts may retain anomalously high concentrations of H2O during cooling. The retention of H2O, 123 Contrib Mineral Petrol (2010) 160:313–325 particularly when magma is confined by impermeable wall rocks, and its role in depressing crystal nucleation, may be the essential features that distinguish pegmatites from more typical granites and rhyolites. This is supported by occurrences of thick rhyolite flows, such as the topaz rhyolites of western United States that have similar compositions to granite pegmatites, except for H2O content (Christiansen et al. 1983; Congdon and Nash 1988), and some of which probably cooled over longer time periods than many pegmatite sheets. In our model, once a mineral nucleates, its growth is driven by the large negative difference between the Gibbs free energies of the growing mineral and the melt because of a large DT. The growth ceases in the hotter interior of a sheet where DG is small but then restarts again at the new interface when DG becomes large again because of delayed nucleation. In the model of London (2008, 2009), growth of large single crystals, although initiated in an undercooled melt, is promoted by enhanced lateral diffusivities of Si and Al in a fluxed boundary layer which allow segregation of these two elements within rapidly-cooled melt. The enhanced diffusivities of these two elements are attributed to equilibration of their activities due to ‘‘field diffusion’’ of other melt components, especially the alkalis (Morgan et al. 2008). Indeed, the growth of large crystals requires rapid removal of incompatible components from the growing crystal interface and London’s (2008, 2009) model provides a mechanism for this to occur. However, enhanced diffusion by itself does not provide the driving force for crystallization, which must be the difference in the Gibbs free energy between the growing crystal and the melt. Because fluxes enhance diffusivities and decrease free energies of melts relative to minerals, effectively reducing undercooling, they promote slow growth of equant crystals instead of elongated and/or skeletal crystals that characterize pegmatites. Euhedral or massive crystal morphologies that occur in the cores and pockets of some LCT pegmatites may result from slower growth at reduced amounts of undercooling in highly fluxed, hydrous residual melt. In addition, the cooling rate in inner pegmatite zones decreases as the intrusion approaches thermal equilibrium with its surroundings. Therefore, crystal morphology in cores of pegmatites, where fluxes are accumulated during crystallization, may be controlled more by high diffusivity in melt than temperature gradients. We believe that pegmatitic texture is primarily the consequence of slow nucleation and rapid growth at large undercooling in a crystal-poor melt, all of which are facilitated by high H2O concentrations, and Li, B, F and P if they occur in significant abundances because they contribute to increasing water solubility and also alter the melt structure promoting a delay in crystal nucleation. As illustrated in Fig. 8, retention of H2O in undercooled melts Contrib Mineral Petrol (2010) 160:313–325 323 crystals and complete solidification of magma at the solidus, both of which characterize granites. Therefore, we suggest that the differences in textures among granites, rhyolites, and pegmatites are largely due to differences in retention of H2O by melts and the degree of undercooling. 1000 melt 50 MPa 300 MPa 900 vapor + melt crystals + melt temperature (˚C) 800 Acknowledgments The presentation of ideas in this paper was helped by reviews of Don Baker and an anonymous reviewer. The work was supported by NSF grants EAR-911116 and EAR-0821152. granite 700 crystals + vapor References 600 rhyolite pegmatite 500 supercooled melt 400 glass 1012 Pa·s 300 0 2 4 6 wt.% H2O in system 8 10 Fig. 8 Temperature–wt% H2O paths for a generic granite, rhyolite and pegmatite (heavy lines with arrows) illustrating the differences in undercooling and H2O retention. Large black dots show beginnings of the paths. The diagram is similar to that shown in Fig. 3. Solid thin black lines are phase boundaries for 300 MPa and dashed lines for 50 MPa. A granite in a large pluton will cool slowly to the crystals ? melt ? vapor eutectic where it will exsolve H2O during slow crystallization. A rhyolite will lose most of its H2O in volcanic conduits because of decreased H2O solubility in melt with decompression. A rhyolite may cross into the glass field because of the relatively high glass transition temperature of H2O-poor melts. A H2O-rich melt that is initially superheated but subsequently is rapidly undercooled will retain most of its H2O during rapid crystallization if the H2O cannot be efficiently vented from the system. This process will lead to a pegmatite is probably the most salient aspect of pegmatites that differentiates them from normal granites and rhyolites. Clearly, rhyolites are also undercooled melts, but rhyolites are microcrystalline or glassy because they had very little H2O to begin with or they have lost it during decompression within volcanic conduits because the solubility of H2O is diminished with decrease in pressure (Fig. 8). Loss of H2O raises the melt viscosity, the glass transition temperature, and promotes high nucleation density. These are the features that characterize rhyolites. Thus, while both pegmatites and rhyolites are undercooled melts, the essential difference between them is that pegmatite melts have retained H2O whereas rhyolites have not. In contrast to rapid cooling of rhyolites and pegmatites, slow cooling of granite melts within large plutons provides the opportunity for continuous loss of H2O without significant undercooling. 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