Abstract
More and more evidence for the development of silicate liquid immiscibility during cooling of magmas in layered intrusions have been presented. Here, we review some theoretical principles with a focus on the separation of two silicate melts, i.e. silica-rich vs. iron-rich. We discuss the role of melt structure and present phase equilibria relevant to stable and metastable immiscibility. The understanding of immiscibility in magmas has strongly benefited from recent progress in experimental approaches. Kinetics studies evidence the importance of nucleation barriers in producing unmixing , coarsening and potential separation of equilibrium melts. Improvement of analytical tools has also enabled detailed study of major and trace element partitioning. The study of immiscible emulsion in volcanic rocks also brings important information on the evolution of plutonic systems and on the potential formation of compositional gap along liquid lines of descent. We then present the most recent evidence for immiscibility in some major layered intrusions, i.e. the Skaergaard, Sept Iles, intrusions of the Emeishan province, and the Bushveld complex. Paired melts are identified as contrasted melt inclusions trapped in apatite and their segregation can be responsible for the formation of Fe–Ti–P-rich rocks. We finally discuss more broadly the potential effect of immiscibility in interstitial melt and the implications on the evolution of the crystal mush.
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Introduction
Popular views on the significance and petrogenetic role of silicate liquid immiscibility have changed several times since the start of modern igneous petrology, from early enthusiasm (Daly 1914) to scepticism (Greig 1927; Bowen 1928) and to revived interest (De 1974; McBirney and Nakamura 1974; Philpotts 1979, 1982; Dixon and Rutherford 1979; Roedder 1979) . Igneous petrologists have stumbled upon traces of liquid immiscibility in lavas and plutonic rocks sometimes by serendipity as, for example, described by Roedder (1978) who discovered glassy immiscibility products in samples of lunar basalts while trying to find hydrous fluid inclusions in olivine and plagioclase phenocrysts. Referring to another fairy tale, one could call liquid immiscibility Cinderella of igneous petrology as it is not getting proper recognition despite numerous glass and crystal “slippers” left behind in magmatic rocks. Recent years have seen a new wave of interest and significant progress in experimental and petrographic studies of silicate liquid immiscibility and its magmatic products. Hopefully, this will be the last major change of fortunes and immiscibility will hold a proper place among important magma differentiation processes.
It is believed that immiscibility between silicate melts and molten Fe–Ni alloys was responsible for the global, first-order planetary differentiation, which resulted in the formation of metal core and silicate shell during accretion of the Earth and other Earth-like planets. Immiscibility between salt, sulfide and silicate melts probably leads to formation of some types of carbonatites and magmatic sulfide deposits. Immiscibility between the drastically different chemical types of magmatic liquids has been reviewed elsewhere (e.g. Veksler 2004; Thompson et al. 2007) and is not discussed in this chapter. Here we consider only immiscibility between a pair of silicate melts. This restriction also excludes from our consideration hypothetical, essentially silica-free apatite-magnetite-ilmenite and apatite-magnetite-sulfide immiscible melts, which may have been responsible for the formation of nelsonites and Kiruna-type ore deposits in massif anorthosites and some layered intrusions (e.g., Philpotts 1967; Kolker 1982; Duchesne 1999; Hou et al. 2011) .
In this chapter we briefly cover the progress since the last major reviews of the late 1970s and early 1980s (Roedder 1978, 1979; Philpotts 1979, 1982) . The emphasis of this review is on layered intrusions because they are the topic of this book, and also because plutonic environment is especially favorable for full development of immiscibility and liquid-liquid fractionation. We first review some theoretical backgrounds on melt structure , phase equilibria, kinetics , and element partitioning. Separate sections deal with intrusions where the studies of immiscibility have been most extensive. We finally discuss more broadly the potential effect of immiscibility in the crystal mush.
Theoretical Principles and Definitions
Liquid Immiscibility at the Atomic Level
Liquid phases do not have long-range ordering on the atomic and molecular scale and therefore have much greater structural tolerance than crystalline solid solutions. Immiscibility in the liquid state usually occurs when the conjugate phases fundamentally differ in the type of chemical bonds. Therefore, immiscible fluid phases can be classified by their dominant types of bonding: ionic, covalent, metallic or intermolecular. Silicate melts are characterized by interplay of covalent and ionic bonds between components and they are correspondingly poorly miscible with liquids having metallic bonding (molten metals and sulphide melts) and fully dissociated ionic and molecular liquids (molten salts and supercritical C–O–H fluids).
Silicate liquid immiscibility is rooted in fundamental properties of silicate melts and highlights the distinction between two types of components, network formers and network modifiers. Network formers are small, highly-charged cations having, because of the small size, coordination numbers no greater than 4 in melts, glasses and crystalline silicates. Four-fold coordinated Si4+ is the most abundant and important network former of natural magmas. The group of network-formers in natural and technological melts also includes P5+, B3+ and some other cations, which in nature are usually present only in trace amounts (e.g. Ge4+, Sb3+ and As3+).
Network-modifying cations have ionic radii greater than 87.2 pm and coordination numbers equal to, or higher than 5 (Hudon and Baker 2002) . The group comprises alkali and alkaline earth cations excluding Li+, Be2+ and Mg2+, REE cations, Th4+ and U4+. Cations with ionic radii greater than Si4+ (26 pm) but smaller than 87.2 pm belong to the amphoteric group. According to spectroscopic studies, amphoteric cations have at least two coordination numbers. One coordination number is four and another one is usually five or six (see Hudon and Baker 2002 for details) . The most important amphoteric cation of natural magmatic melts is Al3+ and the group also includes Li+, Be2+, Mg2+, Mn2+, Zn2+, Sc3+, Ga3+, Ti4+, Zr4+, Hf 4+, Nb5+, Ta5+ and some other high field strength cations.
It has been noticed since long ago (see review of earlier works by Hess 1995) that the size of miscibility gaps in binary metal oxide—silica systems MO–SiO2 correlate with Coulombic properties of the metal cations, such as ionic potential. Ionic potential is the ratio of Z/r, where Z is the nominal charge and r is the atomic radius of the cation. The correlation is especially evident in the binaries of alkali and alkaline earth cations (Fig. 5.1). To rationalize the correlation, Hess (1995, 1996) proposed that the forces responsible for melt unmixing at the atomic level are Coulombic and repulsive in nature. He pointed out that network-modifying cations are surrounded in silicate melts by both bridging and non-bridging oxyanions. Oxygen ions in bridging (Si–O–Si) and non-bridging positions (Si–O—M, where M is a network-modifying cation) isolate the network-modifier cations from each other by providing screens that mask the positive charges. However, modifier cations that are partly or wholly coordinated by bridging oxygen are poorly shielded from each other because the bridging oxygen ions are bonded to Si4+ cations by strong covalent bonds. Consequently, significant Coulombic repulsions build up between network-modifying cations, and they may eventually result in melt unmixing and phase separation. The higher the ionic potential of modifier cations, the greater are the Coulombic repulsions between them, and the larger is the width of the resulting miscibility gap.
In a detailed analysis of binary systems, Hudon and Baker (2002) noticed that the relationships between the ionic potential of network-modifying cations and the size of miscibility gaps are not linear. Furthermore, each group of homovalent cations (cations with the same Z) forms its own trend. For each group, the compositional width of miscibility gap and the unmixing temperature increase with Z/r, reach a maximum and then decrease. The maximum is reached at r = 87.2 pm, which, as mentioned above, defines the transition from true network modifiers to amphoteric cations. The authors proposed the existence of structural control on immiscibility in which the cation radius appears to have an important role. To rationalize the convex trends, they pointed out the increasing degree of covalency of the M–O bonds in homovalent groups of elements with decreasing r. Therefore, amphoteric cations capable of 4-fold coordination seem to undergo weak or no Coulombic repulsion and tend to produce little or no phase separation.
Liquid immiscibility in lunar and terrestrial magmas has been mostly observed in Fe-rich compositions and the link between immiscibility and high Fe contents has been interpreted as a consequence of specific properties of Fe cations. Cations of transition elements from the first row in the periodic table, such as Fe2+, Co2+, Ni2+, Cu2+, V3+, and Cr3+, have five d-electron orbitals, which are known to poorly shield the atomic nucleus (Hudon and Baker 2002) . Notably, miscibility gaps associated with the divalent cations in corresponding oxide-silica binaries are larger than expected from the general Z/r trend. Immiscibility gaps are even greater in binaries of trivalent Cr3+, V3+, and Fe3+ (Hudon and Baker 2002) .
Binodal and Spinodal
In thermodynamic terms, liquid immiscibility is linked with variations of the Gibbs free energy of mixing G with composition X at constant pressure and temperature (Fig. 5.2a) . Detailed discussions of free energy in relation to immiscibility can be found in numerous reviews and textbooks (e.g. James 1975; Doremus 1994; Shelby 2005) . The simplest case is that of a binary liquid where free energy varies smoothly with composition in the whole range between pure components A and B (Fig. 5.2a). Here the G-X curve is characterized in the region of unmixing by a local maximum. Tangent points a and b of the common tangent line define the compositions of the equilibrium immiscible liquids L a and L b . In the compositional interval between L a and L b a single homogenous liquid has a higher free energy than a mixture of the two immiscible liquids. Thus the two-liquid phase assemblage is the thermodynamically stable one, whereas the a-b segment of the G-X curve is metastable . The compositions L a and L b depend on temperature, and the loci of points a and b define a T-X curve that is termed binodal (Fig. 5.2b). All dry immiscible silicate systems known to date are characterized by convex binodals with upper consolute (or critical solution) points, at which the distinction between coexisting liquid phases vanishes. Some researchers (Navrotsky 1992; Hess 1996) have proposed that concave binodals and lower consolute points may also exist. At the consolute points liquids undergo second order (continuous) phase transition. As they approach this transition with falling temperature they pass through a region of critical opalescence (Fig. 5.2b). This region is the site of anomalously large compositional fluctuations and abnormal variations of viscosity, density, compressibility, and other physical properties (Simmons et al. 1970; Simmons and Macedo 1971; Mazurin and Porai-Koshits 1984) . Similarly, the loci of inflexion points s 1 and s 2 in the G-X curves (Fig. 5.2a) where the second derivative (δ 2 G/δx 2 ) T,P = 0 defines the spinodal (Fig. 5.2b). The importance of both the spinodal and the phenomenon of critical opalescence in the understanding of the mechanism of liquid unmixing will be considered below .
Stable and Metastable Immiscibility
With regards to relationships between liquid immiscibility and crystallization, two topological cases are possible. In the first case, a stable two-liquid field emerges in a region where segments of the binodal dome overlie the liquidus surface. One or more crystalline phases may coexist with two immiscible liquids at the intersections between the binodal and the liquidus. In the second case, the binodal may be completely submerged (i.e. subliquidus), and in that case liquid immiscibility is metastable. These two types of relationships are schematically illustrated for a binary system in Fig. 5.3. The systems CaO–SiO2 and BaO–SiO2 (Fig. 5.1) serve as examples of the stable and metastable cases, respectively (Greig 1927; Hudon and Baker 2002) . In T-x diagrams, the liquidus is flattened above the metastable binodal , exhibiting a characteristic sigmoidal shape (Fig. 5.3b). Similar relationships are known in many ternaries and pseudo-ternaries, and some examples are presented in Figs. 5.4 and 5.5. It follows from Figs. 5.4 and 5.5 that seemingly separate stable miscibility gaps in multicomponent systems may actually represent fragments of a single binodal surface.
Nucleation Barriers
In the framework of currently accepted kinetic models (James 1975; Mazurin and Porai-Koshits 1984; Shelby 2005 and references therein) , liquid immiscibility in compositional regions between the binodal and spinodal proceeds via nucleation and growth. It thus follows that they may be hampered by the thermodynamics and kinetics associated with nucleation and growth. The origins of thermodynamic barriers can be explained using the same G-X curve as introduced in Fig. 5.2a, and the relationships are illustrated in Fig. 5.6 following James (1975) . For the bulk composition x lying between points a (binodal), and s 1 (spinodal), the overall free energy decrease due to unmixing to equilibrium liquids a and b (excluding interfacial effects) graphically corresponds to the vertical segment ΔG between the free energy curve at composition b and the tangent drawn to the curve at the composition x. This energy drop is the driving force for separation of the equilibrium phases. It should be noted however that when phase separation develops in a nucleation and growth regime, small sub-critical compositional fluctuations (represented for example, by composition f) will produce an increase in free energy (the segment Δg). This increase represents a thermodynamic barrier for unmixing. Clearly a fluctuation must develop beyond the composition e before the free energy starts to decrease, and the barrier is overcome. Thus, in nucleation region, the system is metastable with respect to infinitesimal compositional fluctuations. In contrast, there is no thermodynamic barrier for phase separation within the spinodal region between the inflection points s 1 and s 2 as the free energy change is negative for an infinitesimal fluctuation. Nonetheless, kinetic limitations on phase separation are universal. These limitations exist regardless of the exact mechanism of phase separation or the position of initial composition x, because they arise from material transport and dynamic parameters, such as diffusion rates and viscosity.
Recent Progress in Experimental Studies
Magma Evolution Paths and Immiscibility Region
With the exception of rare cases of strongly overheated impact melts (e.g. the parental magma of the Sudbury complex right after the impact) terrestrial magmas are produced by partial melting of mantle or crustal rocks and therefore are crystal-saturated. The liquid line of descent and thus the potential for silicate melts to reach a two-liquid field is controlled by solid phases crystallization with decreasing temperature and their effect on the composition of residual melts. In dry systems, extreme iron enrichment (> 18–19 wt.% FeO) was usually considered as necessary for the onset of unmixing (Dixon and Rutherford 1979; Philpotts and Doyle 1983) . This is easily accomplished in alkali-poor systems such as lunar rocks or eucrites (Rutherford et al. 1974; Powell et al. 1980) , but alkali-rich liquids evolve ultimately to iron depletion and silica enrichment (Veksler 2009) . However, as illustrated by the experimental study of Charlier and Grove (2012) , immiscibility can also develop along the liquid line of descent during the iron depletion and silica enrichment that occurs after Fe–Ti oxides appear in the crystallizing assemblage. The liquid line of descent must reach the appropriate compositional field to unmix, but the other condition is that the liquidus temperature crosses a super-liquidus binodal during differentiation (Fig. 5.7). Two classical study of the evolution of tholeiitic basalts by Juster et al. (1989) for the Galapagos spreading center and by Toplis and Carroll (1995) for the parental magma of the Skaergaard layered intrusion did not satisfy this condition.
In ternary systems and systems with greater number of components, stable immiscibility domes can sit either above cotectics (like, for example in the Roedder system illustrated in Fig. 5.4) or a dome may be positioned above a thermal divide (Fig. 5.8). In the first case, mechanical separation of immiscible melts does not change the liquid line of descent and the general direction of system evolution. In the Roedder system, both melts eventually follow the fayalite-silica, or (at higher fO2) magnetite-silica cotectics and end up in the same eutectic with orthoclase. In some ternaries (e.g. CaO–B2O3–SiO2) immiscibilty domes sit on top of thermal divides and mechanically separated immiscible melts evolve by further crystallization in different directions. The topology of natural multicomponent ferrobasaltic-andesitic systems is very complex but it seems that at low pressure, when plagioclase is stable and forms a thermal divide, the situation corresponds to the second case. That is, mechanically separated Fe-rich melt would probably further evolve along the “Fenner” Fe-enrichment trend ending in a Fe-rich eutectic, whereas the silica-rich liquid follows a more familiar Bowen trend of further silica enrichment, all the way down to the granitic eutectic.
Silicate liquid immiscibility is difficult to identify also because it can be a furtive agent of fractionation (Longhi 1998) . Indeed, a melt entering a two-liquid field upon cooling can leave this field because of crystallization and compositional evolution of the bulk residual liquid. This is schematically illustrated on Fig. 5.9 in the fayalite (Fa)—orthoclase (Or)—silica (Qz) pseudo-ternary with the equilibrium crystallization trend for liquid X. Liquid X located in the stability field of fayalite crystallizes this phase until it reaches the two liquid field, marking the separation of a high-silica liquid L2. The paired low-silica liquid L1 reacts with crystallizing fayalite to produce the high-silica liquid. As the reaction proceeds upon cooling, compositions of the two liquids move closer together, and when a line from the high-silica liquid to fayalite passes through the bulk composition (X), the last of the low-silica liquid is consumed and the high-silica liquid moves directly away from fayalite in the one-liquid stability field (Longhi 1998) . Thus, after complete solidification of the system, there is no remaining trace of silicate liquid immiscibility. The high-silica liquid produced ultimately has only recorded the fractionation of fayalite, K-feldspar, and silica at the eutectic.
In the Sept Iles layered intrusion (see Section “Sept Iles”), immiscibility has been interpreted to be a passing phenomenon limited to a narrow temperature interval, evaluated to be between 1015 and 985 °C (Charlier et al. 2011; Namur et al. 2012, 2015) . Both immiscible melts evolved along the binodal upon cooling, forming cumulate rocks with identical mineral compositions but contrasted mineral modes. The bulk liquid composition was evolving towards silica-enrichment and iron-depletion by fractional crystallization to eventually leave the two-liquid field. Immiscibility had thus no influence on the liquid line of descent , except for the absence of intermediate melts.
Liquid-Liquid Element and Isotope Partitioning
Major and Trace Elements
Our knowledge of element partitioning between immiscible silicate melts has greatly improved in recent years owing to the introduction of new experimental and analytical methods such as high-temperature centrifuge separation (Schmidt et al. 2006; Veksler et al. 2006) and laser ablation ICP-MS analyses. It is now possible to analyze dozens of elements at concentrations varying over several orders of magnitude in the same sample and even at the same spot. Therefore, comparisons between individual elements and/or different chemical groups can be done with greater confidence.
The general picture that emerges from recent studies implies close links between ionic properties (e.g. the nominal charge Z and ionic radius r combined in the form of ionic potential Z/r) and liquid-liquid distribution of an element, which is usually expressed in the form of Nernst distribution coefficient D i = C i Lfe/C i Lsi where C’s are weight concentrations, subscripts denote the element and superscripts denote phases (Lfe—Fe-rich melt; Lsi—silica-rich melt). The connection is hardly surprising in view that Coulombic interactions appear to be the principal driving force for silicate liquid immiscibility at the atomic level (see Section “Liquid Immiscibility at the Atomic Level”). Liquid-liquid D values closely correlate with the widths and consolute temperatures of miscibility gaps in corresponding metal oxide-silica binaries (Hudon and Baker 2002; Schmidt et al. 2006; Veksler et al. 2006) . Elements, with broader miscibility gaps in the binaries with silica tend to have higher D values and stronger concentrate in the silica-poor, Fe-rich conjugate liquid. When plotted against ionic potential Z/r, liquid-liquid D values of isovalent elements tend to form convex trends similar to those described by Hudon and Baker (2002) for the consolute temperatures.
A typical plot of the liquid-liquid D values against Z/r is presented in Fig. 5.10. Only three trace elements out of 37 shown on the plot, together with the major components K, Al and Si, concentrate in the silica-rich liquid. The elements include network modifiers with the lowest ionic potentials (Cs and Rb) and a network former Sb. The highest D values are reached by REE and trivalent transition elements Cr and V. Absolute D values vary with temperature, redox conditions and melt chemistry but the general pattern of element partitioning and proportionality between the D values of individual elements hold. On the basis of experimental data, Schmidt et al. (2006) proposed a modified regular solution model, which allows to calculate D M of a trace element M in multicomponent compositions from the width of miscibility gap expressed as X FeO Lfe—X FeO Lsi and the consolute temperature of the binodal in the MO–SiO2 binary.
Oxygen Isotopes
Kyser et al. (1998) and Lester et al. (2013b) studied oxygen isotope partitioning between Fe- and Si-rich immiscible liquids in the system K2O–FeO–Fe2O3–Al2O3–SiO2 at the atmospheric pressure and 1180 °C, and in similar compositions doped with H2O, P and S at 1100–1200 °C and 200 MPa. In both studies Si-rich liquids were found to have δ18O values higher than those of the Fe-rich liquids by 0.4–1 ‰. The observed preferential partitioning of 18O into the Si-rich liquid is consistent with crystal-melt oxygen isotope equilibria and oxygen isotope fractionation in Soret (thermal) diffusion experiments. In all the cases, crystallochemical principles seem to work in the same way and phases or liquid fractions with more polymerized structure tend to be enriched in 18O.
The Kinetics of Liquid Immiscibility
It has been recognized that silicate melts with compositions in vicinity of miscibility gaps often quench to opalescent glasses showing heterogeneity at sub-micron scale . Correct interpretation of sub-micron exsolutions in the glasses is crucial for distinguishing between stable and metastable immiscibility (see Section “Stable and Metastable Immiscibility”) and requires good knowledge of the kinetics of liquid immiscibility. Kinetic issues were at the core of the discussion about the actual extent of the stable miscibility gap in the system K2O–FeO–Al2O3–SiO2 (Visser and Koster van Groos 1976, 1977; Freestone and Hamilton 1977; Roedder 1978) and in multicomponent compositions used in centrifuge experiments (Veksler et al. 2007, 2008a, b; Philpotts 2008) . Two alternative views have been formulated. First is that the fine heterogeneity in glasses is due to instant melt unmixing during quenching. In other words, melt was homogenous before quenching and unmixed when temperature dropped below the metastable segment of the binodal (Fig. 5.3) but was still above the glass transition temperature. Second interpretation of the turbid, opalescent glasses is that they form from melts, which were heterogeneous before quench and represented thermodynamically stable but slowly growing sub-micron emulsions.
The mechanisms for melt unmixing and kinetics of droplet nucleation and growth have been studied extensively in technological melts and glasses (James 1975; Mazurin and Porai-Koshits 1984) . In a typical case, initial nucleation of nanometer-sized immiscible droplets is believed to be very fast and further growth is dominated by process of coarsening, which is termed Ostwald ripening. Ripening is preferential growth of larger droplets at the expense of smaller ones driven by overall decrease in interfacial free energy γ. Theoretical models of the coarsening stage predict that the average droplet radius r should increase proportionately either to the square root or the cubic root of time (e.g. see review by James 1975) . The exact relationship depends on the degree of super-saturation, and is also determined by the process that controls the growth (long range diffusion versus surface reaction rate). In any case, coarsening is faster when the value of γ is high.
First experimental measurements of interfacial tension γ have been recently carried out for immiscible Fe-rich and silica-rich melts in the system K2O–FeO–Fe2O3–Al2O3–SiO2 (Veksler et al. 2010) . The measurements were performed in air for the most oxidized and chemically contrasting melt compositions. The measured γ values in the range of 8–16 mN/m are very low. For comparison with more familiar examples, γ values between water and immiscible organic liquids, such as mineral oil, benzene, or purified vegetable oils vary at room temperature between 30 and 50 mN/m. Veksler et al. (2010) pointed out that γ values for natural, less compositionally contrasting ferrobasaltic and rhyolitic melts should be even lower by a factor of 2 or 3. In the context of kinetic theories of liquid immiscibility (James 1975) , low interfacial tension implies easier nucleation, higher nucleation density but, on the other hand, slow coarsening of the droplets by Ostwald ripening and protracted stability of fine emulsions .
The kinetics of silicate liquid immiscibility in natural magmas has been studied only briefly (Martin and Kushiro 1991) and its experimental coverage remains insufficient. In view of recent kinetic studies by Veksler et al. (2008a, 2010) , silicate liquid immiscibility in natural ferrobasaltic, andesitic or rhyolitic magmas is likely to produce very fine, possibly sub-micrometer emulsions that may be stable over considerable time, and have significant effects on magma dynamics. Slow coarsening of the emulsions should hamper gravitational separation of immiscible melts, and may be among the reasons why traces of immiscibility are usually hard to detect in partly or fully crystallized igneous rocks .
The effects of H2O and Other Volatile Components on Liquid Immiscibility
Lester et al. (2013a) studied the effects of H2O, S, P, Cl and F additions on liquid immiscibility in the system K2O–FeO–Fe2O3–Al2O3–SiO2. The additions of H2O at 200 MPa were shown to dramatically suppress liquidus surface temperatures, expand the stability field of magnetite and decrease that of silica minerals, thereby increasing the T–X range of the miscibility gap. Thus, the composition range of the miscibility gap at the fO2 level of the magnetite-hematite (MH) buffer is increased relative to the range in equivalent anhydrous melts. At fO2 equivalent to the Ni–NiO buffer H2O addition displaced the miscibility gap to more silica-rich compositions and presumably extends the two-liquid field. Sulfur and phosphorus were shown to further expand the miscibility gap. Three-liquid immiscibility between Fe-rich silicate liquid, a Si-rich silicate liquid and a Fe-sulfide liquid was observed in some hydrated compositions at fO2 = MH.
Silicate Liquid Immiscibility in Magmatic Systems
Volcanic Systems and the Daly Gap
Most mantle-derived lavas and pyroclastic materials erupt at the surface after extensive differentiation in magma chambers at depth. Volcanic products, which can be viewed as spills and overflows from intrusive systems, carry important information about magma evolution in the process of magma transformation into a layered intrusion. Therefore, microscopic and macroscopic evidence of liquid immiscibility in volcanic rocks is relevant for the present discussion.
Immiscible droplets of glasses trapped in the mesostasis of basalts have been recognized worldwide in both tholeiitic and alkaline series (e.g. De 1974; Sato 1978; Philpotts 1982; Kontak et al. 2002; Sensarma and Palme 2013) . These immiscible interstitial textures consist of brown spheres, usually smaller than 10 µm, enclosed in a silica-rich glass. Dark globules are commonly finely crystallized to Fe–Ti oxides, iron-rich pyroxene and other fine-grained material whereas the glassy texture of the silica-rich component is better preserved. Examples of immiscibility textures in volcanic rocks are presented in Fig. 5.11.
Evidence for unmixing provided by these small-scale textures is usually not considered as sufficient to support the potential role of immiscibility as a large-scale differentiation process along the basalt-rhyolite evolution trend. However, an implication of silicate liquid immiscibility is that compositions between unmixed pairs cannot exist as homogeneous melt. Indeed, when a liquid line of descent of homogeneous melts reach a binodal surface, two contrasting liquids are produced. This is responsible for a gap of intermediate homogeneous melts during further cooling and differentiation. This absence of intermediate compositions is a major characteristic of tholeiitic series (Chayes 1963; Thompson 1972; Charlier et al. 2013) . In the Sept Iles intrusive suite (see Section “Sept Iles”), silicate liquid immiscibility has been invoked to explain the dearth of intermediate (monzodioritic) melts along the evolution from tholeiitic basalt to A-type granite (Charlier et al. 2011; Namur et al. 2011) .
Immiscibility in Mafic Layered Intrusions
Skaergaard
Since the pioneering study by Wager and Deer (1939) , the Skaergaard intrusion in East Greenland became a classical example of a mafic layered intrusion. General information about the intrusion can be found in numerous reviews (e.g. McBirney 1996) . First evidence for silicate liquid immiscibility in the Skaergaard intrusion came from experiments on synthetic compositions modeling evolved liquid fractions of the Skaergaard magma (McBirney and Nakamura 1974) . Immiscibility was observed in mixtures of Fe-rich liquids and silica-rich granophyre precipitating mineral assemblages of the Upper Zone at temperatures around 1010–1015 °C, which is no more than 10 °C above the liquidus temperature. The composition of the Fe-rich liquid was derived from partial melting experiments on natural rocks from the top of the Upper Zone (UZc) and contained 30.5 wt.% FeOt (McBirney and Naslund 1990) . Direct confirmation that immiscibility had indeed taken place in the Skaergaard intrusion was obtained in a study of melt inclusions in cumulus apatite from the Upper Zone of the Layered Series (Jakobsen et al. 2005) . Many cumulus apatite crystals in apatite-rich layers of the Upper Zone were found to contain melt inclusions of two distinct types easily recognizable under optical microscope as dark-coloured and light-coloured. Electron microprobe analyses of the inclusions showed that the compositions of the two types compared well with the Fe-rich and silica rich immiscible liquids previously produced in experiments (McBirney and Nakamura 1974) and reported as glasses in mesostasis of natural basaltic and andesitic lavas (Philpotts 1982) . Therefore, the inclusions were interpreted as immiscible liquid droplets trapped by growing apatite crystals during crystallization and unmixing of the Skaergaard magma.
The discovery of the apatite-hosted melt inclusions posed further questions: (1) when exactly was magma unmixing reached at Skaergaard and (2) how much impact, if any, did immiscibility and liquid-liquid fractionation have on magma evolution? But regardless of the timing and material transport capacity, new proof of liquid immiscibility revived an old debate about the general direction of magma evolution at Skaergaard . Some researchers (Hunter and Sparks 1987, 1990; Toplis and Carroll 1995) argued in the past that the onset of magnetite and ilmenite crystallization must have turned liquid evolution in the Skaergaard magma towards silica enrichment, while others (e.g. McBirney and Naslund 1990; Thy et al. 2006) argued that Fe enrichment continued despite crystallization of Fe–Ti oxides and reached 30 wt.% FeOt. Numerous intermediate trends were proposed between the extremes (e.g. Brooks and Nielsen 1990; Morse 1990; Nielsen 2004) . On the other hand, if silicate liquid immiscibility and separation of immiscible liquids by gravity played a significant role in magma differentiation not only in the Upper Zone but also earlier in the Middle Zone and at the top of the Lower Zone, liquid-liquid fractionation would account for the apparent diversity of the liquid evolution trends and finally resolve the long-lasting debate .
Veksler et al. (2007) tried to establish the exact timing of immiscibility at Skaergaard and in other examples of tholeiitic magma in a series of high-temperature centrifuge and static reverse experiments. The study revealed significant kinetic problems hampering experimental reproduction of liquid immiscibility in multicomponent system analogous to Skaergaard magma. Unmixing of a synthetic analogue of the Skaergaard parental liquid at 1110–1120 °C corresponding to the formation of the Middle Zone did not develop beyond sub-micron, nanoscale emulsions . Nevertheless, the emulsions showed signs of macroscopic separation in centrifuge experiments and were interpreted as stable, super-liquidus immiscibility. Such interpretation and geological implications of the study were challenged (McBirney 2008; Morse 2008; Philpotts 2008) . In reply, Veksler et al. (2008b) admitted that experimental evidence for early magma unmixing at Skaergaard was inconclusive but stressed the importance of new petrographic observations confirming that immiscibility had played an important role in magma differentiation at Skaergaard .
Mineralogical and petrographic traces of silicate liquid immiscibility were revealed in the Skaergaard Layered Series from the top of the Lower Zone upwards by detailed studies of plagioclase zoning (Humphreys 2011) , plagioclase-hosted melt inclusions (Jakobsen et al. 2011) and late-stage intercumulus reactive microstructures including serrated grain boundaries between pyroxene and plagioclase primocrysts, olivine rims around magnetite and ilmenite crystals, fish-hook pyroxenes and mafic symplectites (Holness et al. 2011) . The reactive symplectites are characterized by extensive reverse zoning of plagioclase and replacement of orthopyroxene by fayalitic olivine and ferroaugite. The reactive microstructures document significant material transport in the cumulus mush of the Layered Series, which resulted in the depletion of late-stage intercumulus liquid in alkalis and silica, and enrichment in Ca and Fe. In view of the absence of reactive symplectites from the Marginal Border Series, where effective separation of immiscible liquids by gravity was impossible, the reactive microstructures in the Layered Series were interpreted as products of gravitational liquid-liquid separation leading to late-stage replacement reactions between residual Fe-rich liquid and cumulus primocrysts .
In summary, there is very strong evidence that silicate liquid immiscibility took place in the Skaergaard intrusion and magma unmixing resulted in fractionation of macroscopic volumes of Fe-rich and silicic immiscible products between the Upper Zone of the Layered Series and the Upper Border Series. There is also little doubt that starting from the top of the Lower Zone and through the Middle Zone of the Layered Series, intercumulus crystallization at the bottom of the magma chamber differed from crystallization in the main overlying magma and at the roof of the intrusion. Strong enrichment of intercumulus liquid at the bottom in Fe oxides was accompanied by depletion in alkalis and silica, which is inconsistent with experimental phase equilibria constraints and mass balance in a closed system (Veksler 2009) . Intercumulus liquid immiscibility and gravitational liquid-liquid fractionation appear to be the most viable explanation of the observed macroscopic trends and the origin of reactive microstructures in the Layered Series .
Sept Iles
The Sept Iles layered intrusion is part of an intrusive suite on the north shore of the Saint-Lawrence River (Quebec; Higgins 2005; Namur et al. 2010, 2015) . The intrusion crystallized from a ferrobasaltic parent magma and is subdivided into a Layered Series of troctolite and gabbro , an anorthositic Upper Border Series and a granitic Upper Series. The liquid line of descent followed a tholeiitic trend, and the cooling of the chamber was interrupted by two major and a series of minor influxes of magma (Namur et al. 2010, 2011) .
Silicate liquid immiscibility and segregation of iron-rich and silica-rich paired melts have been recognized as a major differentiation process in the Sept Iles layered intrusion (Charlier et al. 2011; Namur et al. 2012) . Evidence is provided in rocks from the Critical Zone of the intrusion. This horizon contains the most evolved cumulates of the megacyclic units II . They are made up of plagioclase (An55–34), olivine (Fo66–21), clinopyroxene (Mg# 75–55), ilmenite, magnetite, apatite, ± pigeonite . Two independent characteristics of these rocks support they have crystallized from an emulsion of two immiscible melts: (1) contrasting melts inclusions trapped in apatite and, (2) bimodal bulk-rock compositions of ferrogabbros.
Polycrystalline melt inclusions are ubiquitously trapped in apatite of ferrogabbros from the Critical Zone (Charlier et al. 2011) . Two types of inclusions are clearly distinguished and can occur in the same apatite grain: dark inclusions which contain chlorite, amphibole, plagioclase, Fe–Ti oxides and fine-grained material; and light-coloured inclusions with albite, orthoclase, biotite, amphibole, fine-grained material and rarely quartz. These inclusions have homogenisation temperature between 1100 and 1060 °C and clearly display bimodal compositions: granitic Si-rich and ferrobasaltic Fe-rich. These inclusions clearly represent snapshots of trapped conjugate immiscible liquids .
Large-scale separation of these two immiscible melts is supported by the bimodal character of ferrogabbros. One group, enriched in plagioclase, has an average density of 3.0–3.2 g/cm3 and contains 0–3.5 wt.% P2O5. The other group has an average density of 3.6–3.8 g/cm3 with 3–12 wt.% P2O5. The two types of rocks have variable thicknesses and alternate at a scale of 5–20 m. The bimodality is interpreted to result from the segregation of the two immiscible melts, followed by crystallization and formation of two types of cumulates.
Layered Intrusions of the Emeishan Province
The 260 Ma Emeishan large igneous province in SW China host some major layered intrusions that are spatially and temporally associated with flood basalts and granitoids in the province (Zhou et al. 2008; Pang et al. 2010) . They occur in the Panzhihua-Xichang (Panxi) region, and four of them host world-class resources of Fe, Ti and V: Panzhihua, Hongge, Baima and Xinjie (Pang et al. 2010) .
Parental magmas to these intrusions are Fe–Ti-enriched basalts. Although Fe–Ti oxides saturate early in these basalts (Pang et al. 2008a) , silicate liquid immiscibility has been invoked to explain the origin of the huge amounts of Fe–Ti-ores (Zhou et al. 2005) . In this model, the separation of an immiscible oxide melts would be responsible for the formation of Fe–Ti–V oxide ore bodies in the lower part of the intrusion. Unmixing would have been triggered by the addition of fluids from upper crustal wall-rocks (Zhou et al. 2005) . This model is supported by textural and mineralogical constraints from Hongge Fe–Ti–V oxide deposit showing the presence of two populations of Cr-rich and Cr-poor titanomagnetite (Wang and Zhou 2013) . Cr-rich titanomagnetite is interpreted as an early liquidus phase whereas clusters of Cr-poor titanomagnetite, ilmenite, and apatite are thought to have formed from an Fe–Ti–(P)-rich immiscible melt. Ultimately, large-scale silicate liquid immiscibility in the region would be responsible for the formation of contrasting suites of rocks, with Si-rich immiscible melts forming syenites and Fe-rich immiscible melts crystallizing layered gabbros and massive oxides (Zhou et al. 2008) .
Alternative models invoking continuous fractional crystallization have also been proposed. In this scenario, formation of huge amounts of Fe–Ti oxide is a simple result of gravitational sorting and settling (Pang et al. 2008b; Zhang et al. 2012) . Frequent Fe–Ti-rich magma replenishment (Song et al. 2013) is coupled to sorting and settling to explain the formation of unusually thick stratiform Fe–Ti oxide layers.
Bushveld
The Paleoproterozoic (2054.4 ± 1.3 Ma; Scoates and Friedman 2008) Bushveld Complex in South Africa is a gigantic plutonic system comprising an inwardly dipping lopolith of mafic-ultramafic cumulate rocks, the Rustenburg Layered Suite (RLS), overlain in the centre by a large mass of contemporaneous granites. In terms of the total volume of basaltic magma, the Bushveld Complex by itself constitutes a large igneous province, with the intrusive equivalent of continental flood basalts. Present-day outcrops of the complex cover a surface area of 66,000 km2 and the total thickness of igneous rocks is about 10 km or more. The mafic-ultramafic layered intrusion is sub-divided into stratigraphic zones comprising from the bottom to the top the Lower Zone (pyroxenites and harzburgites), Critical Zone (chromitites, harzburgites, pyroxenites, norites and minor anorthosites), Main Zone (norites and gabbronorites), and Upper Zone (gabbronorites and augite diorites). There is abundant evidence that the cumulates formed in an open system with multiple magma injections, volcanic eruptions and significant assimilation of continental crust. The open-system nature of magma evolution is evidenced in the RLS by trace element variations, breaks in initial Sr isotope ratios, and numerous reversals in compositional trends of cumulate minerals (Eales and Cawthorn 1996; Maier et al. 2013 and references therein) . Studies of the chilled margins (Wilson 2012) and comagmatic sills associated with the RLS (Barnes et al. 2010) have revealed at least three distinct geochemical types of parental magmas. Recent studies of the Bushveld Complex are reviewed by Cawthorn (2015) .
Silicate liquid immiscibility in the Bushveld Igneous Complex has been discussed in the context of magma differentiation in the Upper Zone including the origin of magnetite and nelsonite layers (e.g., Reynolds 1985; von Grunewaldt 1993) and especially in connection with the origin of iron-rich ultramafic pegmatites (IRUP). The latter are coarse-grained rocks forming distinct discordant bodies, ranging in size from a few meters to a few kilometers and randomly cutting through the layered rocks of the normal stratigraphy in the vertical interval from the Upper Zone down to the upper Critical Zone (Scoon and Mitchell 1994; Reid and Basson 2002) . The bodies have irregular shapes resembling discs, tubes, sheets, dykes and complex branching forms (Fig. 5.12). Contacts with the host rocks are usually sharp and imply magmatic replacement reactions. Typical mineral assemblages of the IRUP comprise ferro-augite (Wo34–46En21–40Fs18–40), olivine (Fo30–50), magnetite, ilmenite and little or no plagioclase. Sulfides, Fe-amphibole and apatite may be locally abundant.
A genetic link between IRUP and silicate liquid immiscibility has been proposed primarily because typical whole-rock compositions of IRUP are high in FeOt, low in Al2O3 and resemble the compositions of Fe-rich immiscible melts (Scoon and Mitchell 1994; Reid and Basson 2002) . Unmixing has been proposed to take place in parental magma of the Upper Zone because the initial 87Sr/86Sr isotope ratios of the IRUP cutting through the Upper Critical and the Main Zones are significantly different from those of the country rocks and similar to the rocks of the Upper Zone (Scoon and Mitchell 1994; Reid and Basson 2002) . An origin of the IRUP-forming liquids in the parental magma of the Upper Zone is further supported by the Nd isotope data, Mg# of the Fe–Mg silicates, and the presence of liquidus magnetite (Reid and Basson 2002) . In the Upper Critical Zone, the IRUP preferentially replace anorthosites and norites but in fully developed cases pyroxenite and even chromitite layers are also affected. The replacement reactions result in (1) reverse zoning of plagioclase in the IRUP in contact with norite or anorthosite, and complete disappearance of plagioclase from the inner, central parts of the IRUP bodies; (2) the replacement of low-Ca pyroxene by ferro-augite and olivine; (3) the replacement of chromite by magnetite. The nature and the origin of the IRUP replacement bodies defy a simple explanation, and remain contentious. Immiscibility hypothesis has been favored by some researches; however, it does not give all the answers to the problems posed by IRUP. For example, if the source of IRUP-forming liquids was indeed in the Upper Zone, one has to explain how the melts penetrated downwards through the 3 km thick cumulate pile of the Main Zone without changing their radiogenic isotope ratios, and how the melts became under-saturated in plagioclase.
Tegner and Cawthorn (2010) argued that the tholeiitic parental magma of the Upper Zone, in contrast with the parental magmas of the Skaergaard and Sept Iles intrusions , contained less FeOt from the start and did not follow the trend of strong Fe enrichment. Nevertheless, they did not rule out immiscibility and immiscible origin for prominent magnetite and nelsonite (apatite-magnetite) layers, which mark the Upper Zone stratigraphy. Recently VanTongeren and Mathez (2012) interpreted a sharp, 3-fold increase of REE concentrations in cumulus apatite at the top of the Upper Zone as a result of large-scale silicate liquid immiscibility and argued that the uppermost 325 m of the cumulates crystallized from gravitationally separated layer of the silica-rich immiscible liquid. Cawthorn (2013) challenged that interpretation and put forward an alternative model. He proposed that higher REE concentrations in the uppermost apatite were due to post-cumulus re-equilibration of apatite primocrysts with a greater amount of inter-cumulus liquid. According to his calculations, a change of the apatite-liquid mass ratio in cumulus mush from 0.5 to 0.09 would account for the 3-fold increase of the final REE concentrations in re-equilibrated apatite. In conclusion, evidence for complete gravitational separation of Fe-rich and silica-rich immiscible liquids in two major, macroscopic layers may be missing at Bushveld , as well as from other layered intrusions. However, as discussed below in Section “Intercumulus Crystallization and Liquid Immiscibility”, liquid immiscibility in mafic layered intrusions does not need to form major, fully separated liquid layers dozens of hundreds meters in thickness in order to play a significant role in post-cumulus crystallization and material transport.
Other Layered Intrusions
In the Duluth layered intrusion (Minnesota, USA), Ripley et al. (1998) proposed that nelsonites and possibly oxide- and apatite-rich rocks were formed by liquid immiscibilty together with a sulfide melt. The authors suggest an important role of evolved ferrogabbroic melt produced during crystallization of tholeiitic magmas.
In the Bjerkreim-Sokndal layered intrusion, Norway, it has been suggested that immiscibility might have occured in the Transition Zone, between the Layered Series and the overlying silicic evolved rocks (Wilson and Overgaard 2005) . Experiments have shown that mixtures of jotunite and quartz mangerite, the most common melt compositions associated with anorthosites, are indeed immiscible (Philpotts 1981) . Alternatively, the Transition Zone cumulates have been interpreted as resulting from crystallization of a single magma (Duchesne et al. 1987; Duchesne and Wilmart 1997) .
Evidence for coexisting Fe-rich and Si-rich melts have also been found in the Sudbury igneous complex in Canada . This intrusion crystallized from a melt sheet produced by a meteorite impact (Grieve et al. 1991) . Bimodal compositions have been interpreted to result from emulsion of superheated norite and granophyre assemblages (Zieg and Marsh 2005) . Melt inclusions trapped in apatite have preserved the composition of the two melts (Watts 2014) , considered to be produced by immiscibility during cooling of the superheated melt sheet.
Loferski and Arculus (1993) described multiphase crystallized melt inclusions in cumulus plagioclase crystals from anorthosite layers and other rocks in the Middle Banded series of the Stillwater Complex (Monatana, USA) and interpreted the inclusions as traces of immiscible Fe-rich liquid concentrating Ti, P, Zr and REE. The authors proposed that silicate liquid immiscibility in Stillwater could either have occurred locally in compositional boundary layers around crystallizing plagioclase grains, or it could have occurred pervasively throughout the parent melt. Large masses of monomineral anorthosites may have crystallized from the main, feldspathic, silica-rich immiscible liquid.
Intercumulus Crystallization and Liquid Immiscibility
Despite disagreements about the exact timing of silicate liquid immiscibility in some specific cases, the broadly accepted view is that immiscibility in mafic layered intrusions starts at a late stage of magma evolution after extensive magma differentiation by fractional crystallization. The lowest temperatures and the most evolved melt fractions are likely to be found in partly crystallized marginal zones of a magma chamber, at the bottom, sides and at the roof. Therefore, unmixing is likely to start at first in intercumulus melt inside partly solidified crystal mush. If mush permeability is low and immiscible melts cannot separate by gravity, immiscibility will leave no traces in fully crystallized rocks. Both melts should crystallize identical mineral assemblages and crystallization products of a melt mixture would be indistinguishable from those of a single homogenous melt of the same bulk composition.
However, if the crystal mush is permeable enough for liquid-liquid fractionation by gravity, immiscibility would provide effective means of material transport in the form of phase convection and that may significantly affect intercumulus crystallization . Consider, for example, a section of gabbroic cumulus mush at the bottom of a magma chamber (Fig. 5.13). Suppose a vertical temperature gradient across the mush with the temperature increasing upwards. Suppose the porosity and permeability of the mush increase in the same direction. Part of the mush below the immiscibility isotherm is labeled in Fig. 5.13 as immiscibility zone. Within the zone, immiscible melts are stable and separate by gravity. The lighter silica-rich melt moves upwards where it should eventually cross immiscibility isotherm, above which immiscibility is unstable. At this point, the immiscible silica-rich melt must re-dissolve in the resident intercumulus liquid. The dissolving melt brings extra silica and alkalis in the form of albite and orthoclase aluminosilicate components. The additions of such components to the multiply-saturated intercumulus melt are expected to trigger a series of crystal-melt reactions. For example, additional alkalis would offset the Ca/Na balance and the plagioclase-melt equilibrium. This should result in partial melting of cumulus plagioclase right above immiscibility zone. Pyroxenes and other minerals should also melt to keep the intercumulus liquid at equilibrium cotectic composition. Partial melting of earlier formed cumulates may have a positive feedback on the melt migration because of the increasing porosity and permeability in the melting zone. The extent of melting would depend on the balance between the cooling rate of the magma chamber and the rate of melt migration. Other factors, such as variations in melt viscosity or the size of immiscible melt droplets may also play significant roles. In principle, the process may lead to complete dissolution of some cumulus minerals and formation of monomineral layers. In any case, the consequences of intercumulus immiscibility appear to be complex and the effects of the resulting material transport may be far-reaching.
Conclusions and the Outlook
More and more evidence for immiscibility between two silicate melts in layered intrusions have been provided. Contrasted melt inclusions trapped in cumulus phases provide the most obvious record for the coexistence of equilibrium paired melts, as described in the Skaergaard and Sept Iles intrusions . The process affects the liquid line of descent during its late-stage evolution although the exact onset of unmixing is debated. Even if the two melts have contrasting physical properties (density, viscosity) , their ability to segregate on large scale has still to be proven. Kinetics issues hamper nucleation and growth of immiscible droplets, so that small-scale segregation in the crystal mush might be more common than large-scale separation of the paired melts. The process has nevertheless implications for the formation of Fe–Ti–P ore deposits in layered intrusions, and by analogy, could also be important for the origin of Kiruna-type iron ore deposit. Further work might focus on the understanding of nucleation, growth, and potential segregation of immiscible melts.
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Acknowledgments
This paper has been reviewed by Jean Clair Duchesne and Jakob Klove Keiding. Olivier Namur is thanked for the editorial handling. BC acknowledges support by a Marie Curie International Outgoing Fellowship within the 7th European Community Framework Programme. IVV has been supported by the German Science Foundation (DFG) grants FR 557/23-2 and VE 619/2-1, and the Russian Science Foundation (RNF) grant No. 14-17-00200.
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Veksler, I., Charlier, B. (2015). Silicate Liquid Immiscibility in Layered Intrusions. In: Charlier, B., Namur, O., Latypov, R., Tegner, C. (eds) Layered Intrusions. Springer Geology. Springer, Dordrecht. https://doi.org/10.1007/978-94-017-9652-1_5
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