H 2 O and Cl in deep crustal melts: the message of melt inclusions in metamorphic rocks

. The use of NanoSIMS on primary melt inclusions in partially melted rocks is a powerful approach to clarify the budget of volatiles at depth during crust formation and its reworking. Anatectic melt inclusions are indeed gateways to quantify H 2 O, halogens and other species (e.g. CO 2 , N) partitioned into the deep partial melts generated during metamorphism of the continental crust. Here we present new datasets of NanoSIMS measurements of H 2 O and Cl in preserved melt inclusions from metamorphic rocks with different protoliths – magmatic or sedimentary – which underwent partial melting at different pressure–temperature–ﬂuid conditions. These new datasets are then compared with similar data on natural anatectic melts available in the literature to date. Our study provides novel, precise constraints for the H 2 O content in natural melts formed at high pressure, a ﬁeld previously investigated mostly via experiments. We also show that H 2 O heterogeneities in partial melts at the microscale are common, regardless of the rock protolith. Correlations between H 2 O contents and P – T values can be identiﬁed merging new and old data on anatectic inclusions via NanoSIMS. Overall, the data acquired so far indicate that silicate melt generation in nature always requires H 2 O, even for the hottest melts found so far ( > 1000 ◦ C). Moreover, in agreement with previous work, preserved glassy inclusions always appear to be poorer in H 2 O than crystallized ones, regardless of their chemical system and/or P – T conditions of formation. Finally, this study reports the very ﬁrst NanoSIMS data on Cl (often in amounts > 1000 ppm) acquired in situ on natural anatectic melts, showing how anatectic melt inclusions – additionally to magmatic ones – may become a powerful tool to clarify the role of halogens in many geological processes, not only in crustal evolution but also in ore deposit formation.


Introduction
Every inclusion hosted in a mineral is "a window into the rocks' past" (Ferrero and Angel, 2018).When properly interrogated, these inclusions yield a wealth of data on nature, genesis and evolution of the host-inclusion system and thus can be used to clarify how geological processes operate in shaping our planet (Esposito, 2021;Bartoli, 2021;Rose-Koga et al., 2021;Esposito et al., 2023;Borghini et al., 2023a).Deep fluids and melts are the most mobile, elusive and easily modified players in geological processes (Yardley, 2009;Connolly, 2010), yet their detailed characterization is fundamental to understand planetary evolution.Fluid and melt inclusions (FIs and MIs respectively) in metamorphic rocks offer direct access to these deep fluids -or better -to their manifestation stable at surface conditions, i.e. crystallized MI instead of melt (e.g.Ferrero et al., 2019, and references therein), and multiphase systems often composed of liquid + vapour ± crystal phases (e.g.Frezzotti and Ferrando, 2015;Carvalho et al., 2020).In the present work we define MI as inclusions which at the moment of entrapment/formation contained mostly a homogenous silicate melt, whereas FI trapped mostly volatile species, e.g.H 2 O and CO 2 , along with other minor volatile species (CH 4 , N 2 , Cl, F).
Often only few (tens of) micrometres across, these minute objects are thus gateways to the Earth's depths.The use of MI as tools to understand nature phenomena has a long-standing and time-honoured tradition, with the first publications on the topic dating back to second half of the 19th century (Sorby, 1858).During the 20th century they were then extensively employed in petrological studies of magmatic and volcanic system as well as ore deposits (Roedder, 1984;Lowenstern, 1995;Sobolev, 1996;Metrich and Wallace, 2008).The discovery of anatectic MI in granulitic enclaves (Cesare et al., 1997) at the closing of the last century, followed by their finding in regionally metamorphosed migmatites from different localities (Cesare et al., 2009;Ferrero et al., 2012), often crystallized as nanogranitoids (Bartoli et al., 2016), heralded the beginning of a new field of study, i.e.MI in metamorphic rocks (Cesare et al., 2015).In brief, they represent snapshots of the partial melt produced at depth and then encased (and preserved) in phases either generated or re-crystallized during melt production.From lusus naturae (freak of nature) found and investigated only in one location worldwide in 2009 (Cesare et al., 2009), the following decade saw the nanogranitoids becoming a well-established tool for metamorphic petrologists to constrain melt-producing reactions at depth (see Bartoli, 2021, andNicoli andFerrero, 2021, for the most up-to-date review), as well as to investigate how P -T -X conditions and fluids control anatectic melt composition (Acosta-Vigil et al., 2010, 2012, 2017;Bartoli and Carvalho, 2021;Nicoli et al., 2022a).These inclusions, whether they contain melt resulting from partial melting of the rock itself (Cesare et al., 1997;Acosta-Vigil et al., 2007;Cesare et al., 2015) or of nearby rocks and then trapped in re-crystallizing garnet, i.e. as metasomatizing melt (Borghini et al., 2018(Borghini et al., , 2020(Borghini et al., , 2023a)), are the topic of the present work.
An aspect of utmost interest in deep melts studies is the identification and quantification of volatile elements (i.e.H, C, N, Cl, F).CO 2 in anatectic MI has been the topic of a recent string of publications (Nicoli and Ferrero, 2021;Nicoli et al., 2022a;Borghini et al., 2023a;Carvalho et al., 2023a); in this contribution we address exclusively H 2 O and Cl.H 2 O availability, either resulting from the breakdown of OH phase or present as infiltrating fluid, is crucial to stabilize a silicate melt at crustal conditions, and indeed the role of H 2 O in crustal reworking and generations of granites is a matter of ongoing debate (Weinberg and Hasalová, 2015;Clemens et al., 2020).Moreover, the knowledge of the H 2 O budget at depth is necessary to quantify melting as well as the melt behaviour on extraction, i.e. viscosity and density contrasts (e.g.Wickham, 1987;Brown, 2007;Nicoli et al., 2017;Nicoli, 2020).Cl and other halogens (e.g.fluorine) play a role both in shaping the partial melting reactions, e.g. by delaying melting toward higher T (Aranovich et al., 2013;Ferrero et al., 2021), and influencing the solubility of elements of economic interest and ore deposit formation (LaMadrid and Steele-McInnis, 2021).Working on anatectic MI offers the chance to measure directly in situ volatile species of interest and retrieve their original amounts, unadulterated and still preserved due to the lack of MI-matrix diffusion gradients commonly observed in magmatic MI (see discussion in Bartoli et al., 2014;Barth and Planck, 2021).
The present contribution reports novel Nano Secondary Ion Mass Spectrometry (NanoSIMS) results collected on rehomogenized nanogranitoids and preserved glassy inclusions (i.e.found already in a glassy state in the host mineral) of granitoid composition from metamorphic rocks.The use of SIMS, i.e. ion probes with spatial resolution in the order of 20-25 µm, to investigate volatiles in MI from magmatic rocks has become rather widespread in the last 2 decades (Hauri, 2002;Humphreys et al., 2006;Esposito et al., 2014;Bali et al., 2018;Rose-Koga et al., 2020, 2021).However, often magmatic MIs are found to be larger than anatectic ones, 100-50 µm (e.g.Roedder, 1979) versus 10-20 µm respectively; thus the latter require the use of a NanoSIMS rather than a normal SIMS.NanoSIMS (NS) investigation of preserved anatectic MI is a relatively novel approach -just like the concept of anatectic MI itself -and the analytical protocol was elaborated by Bartoli et al. (2014), the seminal work that jumpstarted the use of this technique on re-homogenized nanogranitoids.For our study we collected NS data on inclusions from three different case studies.The first case study is represented by nanogranitoids formed at near-ultrahighpressure (UHP) conditions in the Orlica-Śnieżnik Dome (OSD samples) in the Polish Sudetes (Bohemian Massif; see Ferrero et al., 2015Ferrero et al., , 2016Ferrero et al., , 2019)).The second case study involves glassy inclusions from low-pressure garnet xenocrysts found at the Galite Islands (Tunisia), 20 km offshore Cape Serrat (GA samples; see Ferrero et al., 2014).The third case study instead involves glassy inclusions in high-pressure (HP) eclogites from the Rubinberg quarry (RUB samples) in the Granulitgebirge (Bohemian Massif; see Borghini et al., 2018Borghini et al., , 2020)).These data are then compared with the existing database of H 2 O and, where available, Cl contents so far measured on anatectic MI.Such a database covers a wide range of the metamorphic pressure-temperature (P -T ) space (Acosta-Vigil et al., 2016;Carvalho et al., 2018;Bartoli et al., 2019;Ferri et al., 2020;Gianola et al., 2021), including HP (Ferrero et al., 2021) and UHP, in the diamond stability field (Borghini et al., 2023a), at least for H 2 O contents.Novel and previously published data are then interpreted with the aim of identifying trends and thus the factors controlling the partitioning of H 2 O and Cl in deep melts.

Sample description
In this work new data on H 2 O and Cl were acquired on anatectic melt preserved as primary MI containing a crustal melt generated at very different P -T conditions and ages, as well as by a variety of melt-producing reactions.The protolith involved in the melting reaction is igneous in nature for the OSD and GA samples and a metasediment for RUB samples, as described in detail below.
The OSD samples are metagranitoids characterized by a leucocratic matrix of Qtz + Pl + Kfs with scattered porphyroblasts of nanogranitoid-bearing peritectic garnets (Fig. 1a) rich in Alm and Grs components (Alm 58 Grs 31 Pyr 11 Sps 1 ), ternary feldspar, and limited kyanite formed at the metamorphic peak (Ferrero et al., 2015).The nanogranitoids have a constant phase assemblage of kumdykolite and kokchetavite (polymorphs of NaAlSi 3 O 8 and KAlSi 3 O 8 respectively), cristobalite or quartz (or more rarely tridymite), a residual glass, and calcite as a minor component (Ferrero et al., 2016).Such an assemblage is consistent with the crystallization of a hydrous granitic melt as confirmed by electron microprobe (EMP) results on re-homogenized inclusions (Ferrero et al., 2015(Ferrero et al., , 2019; see also Wannhoff et al., 2022).Furthermore, both the successful re-homogenization of the nanogranitoids and classic geothermobarometers constrain partial melting near or at the metamorphic peak at ∼ 875 • C and 2.7 GPa, almost at UHP conditions, during the Variscan orogeny (Ferrero et al., 2015).Trace element data on the inclusions suggest the involvement of biotite in the melt production, thus pointing toward a delayed OH-phase dehydration melting (Ferrero et al., 2019).In these samples the bulk volatile content of the melt has been measured via NS exclusively on rehomogenized nanogranitoids as preserved glassy inclusions were not found in the investigated samples (e.g.Fig. 1b).
The GA samples were investigated in detail by Ferrero et al. (2014).The targeted garnets are metamorphic xenocrysts found in granodiorites intruding a flysch sequence (Belayouni et al., 2010).The host garnet has an Alm-rich core (Alm 76 Pyr 14 Grs 6 Sps 4 ) characterized by a large cluster of enclosed material that makes the core very dark (Fig. 1c).These clusters contain primary MI, FI and mixed (fluid + silicate melt) inclusions along with biotite, quartz, ilmenite, plagioclase and subhedral aggregates of white mica/sericite and chlorite interpreted as former cordierite (Ferrero et al., 2014).The MI range from fully crystallized to fully glassy, although the fully glassy inclusions are relatively rare and generally significantly smaller in size with respect to the crystallized ones (for inclusion petrography see Ferrero et al., 2014).When crystallized they contain quartz, K-feldspar/kokchetavite, biotite and albite/kumdykolite (Ferrero and Angel, 2018).Fluid inclusions contain a CO 2 + H 2 O + N 2 + CH 4 fluid, always associated with small crystals of kaolinite and siderite, likely the result of fluidhost interaction (see also Carvalho et al., 2020).The mixed inclusions show variable proportions of glass and COHN fluid, e.g. from 30 %-70 % to 80 %-20 % based on visual inspection of the inclusions in thin section.Such microstructural features constrain garnet growth in the presence of a silicate melt and a COHN fluid under conditions of primary fluid-melt immiscibility (see e.g.Cesare et al., 2007).P -T calculation suggests that garnet formed at ∼ 800 • C and 0.35-0.5 GPa as a peritectic phase during fluid-present partial melting during the Miocene (Ferrero et al., 2014).NS analyses were performed exclusively on preserved glassy and mixed inclusions where the glassy portion was large enough, i.e. > 4 µm (e.g.Fig. 1d).No re-homogenization experiments were performed on these samples.
The RUB samples originate from an eclogite lens embedded in serpentinized garnet peridotites.The rock is dominated by garnet (Alm 35 Prp 39 Grs 25 Sps 1 ) and clinopyroxene and was studied in detail by Borghini et al. (2018Borghini et al. ( , 2020)).Garnet contains tens of melt inclusions of 2-20 µm in diameter randomly distributed in wide clusters (Fig. 1e).Here, both nanogranitoids and glassy inclusions are present, although the latter are relatively smaller (2-5 µm) and rare, e.g.< 10 % of the total (Fig. 1f).Nanogranitoids consist of kumdykolite or albite, phlogopite/biotite, osumilite, kokchetavite and carbonate (possibly calcite) and a variable amount of quartz, pyroxene and rare white mica (Borghini et al., 2018(Borghini et al., , 2020)).Re-homogenization experiments were not performed on RUB samples, and the composition of the melt, including also Cl, was measured directly on the glassy inclusions via EMP.On the same glassy inclusions NS was used to quantify H 2 O.The melt is granitic, peraluminous and rich in incompatible elements pointing toward the involvement of white mica in the melt producing reaction.Differently from the other two localities, here the melt is not trapped in its source rock.Geochemical and microstructural constraints show that it was produced via partial melting of metasediments belonging to subducted continental crust and then trapped in mantle-related bodies, i.e. the eclogitic bodies now visible on the field (Borghini et al., 2020).Previous studies have estimated the metamorphic peak at 1000-1015   d) and (f) the features of their inclusions.Microraman spectra acquired on glassy inclusions (after re-homogenization for OSD and in natural samples for GA and RUB) from the three different case studies are reported in (g).The large band at ∼ 2800 cm −1 in GA spectrum is due to the presence of araldite in the analysed volume.Ng -nanogranitoids; white arrows -glassy inclusions with or without bubbles and mixed inclusions in the sole case of GA samples (in d).Mineral abbreviations after Whitney and Evans (2010).For sample abbreviations see text.

Methods
In our study we used a piston cylinder press, a NanoSIMS, an electron microprobe and microraman spectroscopy.The use of the piston cylinder was necessary to re-melt the nanogranitoids entirely in OSD samples beforehand, to obtain a ho-mogenous glass suitable for NS and EMP analyses.We used a Johannes-type piston-cylinder apparatus operated at GeoForschungsZentrum (GFZ) Potsdam (Germany).Garnet chips with unexposed nanogranitoids were manually separated under microscope observation from doubly polished thick sections and used as starting material in experiments.Four or five chips per each experiment were loaded in platinum capsules of 4 mm length and 3 mm diameter and coldsealed after filling.Powdered silica was added in the capsule both as a pressure medium and to isolate the chips from each other and from the capsule walls.No water was added to the experimental charge.The pressure cells consisted of talc-pyrex glass outer sleeves with graphite furnace and crushable alumina inner spacers in which the Pt capsule was embedded (see methods in Bartoli et al., 2013a;Cesare et al., 2015;Ferrero et al., 2015).The T in the capsule was controlled using a Type S thermocouple (Pt-PtRh10) with a ±10 • C uncertainty.The assemblage has been pressure calibrated via the equilibrium quartz = coesite according to Mirwald and Massonne (1980), which is accurate within 50 MPa.The assemblage was then kept in the press at 875 • C and 2.7 GPa for ∼ 24 h and resulted into the complete re-homogenization of the large majority of the nanogranitoids (more details in Ferrero et al., 2019).Quenching of the experimental charges took place at high P , and the machine was unloaded only after reaching ambient T .The capsules were then mounted in epoxy and polished to expose rehomogenized inclusions.As each garnet chip generally contains only < 10 re-homogenized inclusions after repolishing, we performed 5 experimental runs at these conditions to rehomogenize enough material to obtain a significant dataset.
Microraman spectroscopy was performed to verify glassy nature and homogeneity of the re-melted nanogranitoids before NS analyses.We used a HORIBA Jobin Yvon LabRAM HR 800 at the Institute of Geoscience, University of Potsdam.An air-cooled Nd:YAG laser was used for excitation (λ = 532 nm, laser power on the sample of 2-3 mW) with a grating of 300 lines mm −1 , slit width and confocal hole set to 100 and 200 µm, respectively.The Raman spectra of rehomogenized glass inclusions were acquired with a 100× objective in the wavenumber range 100-4000 cm −1 , integrating three repetitions of 30 s with spectral resolution of 10 cm −1 .
Both GA and RUB samples contain glassy inclusions ready to be analysed by NS means.Glassy inclusions of suitable size, i.e. > 4 µm in size, were identified via optical investigation of doubly polished thick sections, and the host garnets manually separated to form multiple garnet chips.The glassy nature of the selected inclusions was also verified via microraman spectroscopy before proceeding with NS analyses (Fig. 1g).
In situ NS analyses were performed to quantify H 2 O and Cl during two analytical sessions in May 2016 and January 2017 for samples OSZ and GA and in February 2020 for RUB samples using the CAMECA NanoSIMS 50 oper-ated at the Muséum National d'Histoire Naturelle of Paris, following the approach of Bartoli et al. (2014) and Créon et al. (2018).Polished capsules with re-homogenized inclusions (OSD samples), garnet chips with glassy inclusions (GA samples) and portions of thin sections with garnets containing glassy inclusions (RUB samples) were mounted in indium along with standard glasses.The inclusions were then identified through images of 28 Si − and 56 Fe 16 O − secondary ions.Each analysis was preceded by pre-sputtering on a 5×5 µm 2 surface area for 2 min to remove gold coating, to minimize surface contamination and to achieve a steadystate sputtering regime (Thomen et al., 2014).Data acquisition was performed with a 20 pA Cs+ primary beam by rasterization of a 3 × 3 µm 2 surface area.Ions were exclusively collected from the inner 1 × 1 µm 2 using the beam blanking mode, to minimize surface contamination.Each analysis consisted of 200 cycles with a duration of 1.024 s.Secondary ions of 16 OH − (proxy for H 2 O), 28 Si − , 35 Cl − and 56 Fe 16 O − were recorded simultaneously in multicollection mode, using electron multipliers with a dead time of 44 ns.Mass resolution was set to 5500 to resolve mass interference on these ions.Only analyses with a stable 16 OH − / 28 Si − and 35 Cl − / 28 Si − ratios were considered in this study.Three glasses of leucogranitic composition and known concentrations of H 2 O, varying between ∼ 0.3 wt, % and 4.86 wt, %, were used for calibration (Bartoli et al., 2014; see also Supplement).For Cl concentration, we used NIST 610 and 612 standards (at 273 and 88 ppm, respectively) in addition to an anhydrous leucogranitic glass DL (Morgan and London, 2005) being Cl free to determine [Cl]/[SiO 2 ] ratios from 35 Cl − / 28 Si − .Analytical uncertainty on each NS measurement was based on the Poisson error due to counting statistics and was combined with the uncertainty on the calibration (corresponding to 68 % interval of confidence in the regression line) by quadratic sum to obtain the uncertainty at 68 % on values reported in Table 1 for the different analytical sessions.Cl in RUB glassy inclusions was measured by EMP means using acceleration voltage 15 kV, current 3.5 nA and beam diameter 1 µm.The detection limit for Cl during these analyses has been estimated to be 0.011 wt % or 110 ppm.

Results
A grand total of 47 analyses were acquired in the OSD granulites on 35 re-homogenized inclusions from 8 different garnets -few inclusions were large enough to allow for multiple analyses as visible in Table 1.Some inclusions only contained glass resulting from nanogranitoid rehomogenization, whereas others contain quartz (see column "comment" in table 1).The latter is interpreted to be a phase trapped during inclusion formation (hence not precipitated from the enclosed melt), as previous studies did not identify any compositional difference between glassy and glassy inclusions with quartz (Ferrero et al., 2019).Three further anal- yses were acquired on a glass pocket at the contact between the quartz matrix enveloping the garnet chips and the chip itself.The measured H 2 O contents in the re-homogenized nanogranitoids range from 3.07 wt % to 8.33 wt %, with an average of 6.33 wt %.When different garnet crystals are considered, the H 2 O content varies from 4.38 wt % to 6.97 wt % on average (Fig. 2a).The measured Cl content ranges from ∼ 350 to ∼ 2800 ppm, with an average of ∼ 1200 ppm.H 2 O and Cl contents show a weak positive correlation (Fig. 3).The measured glass pocket shows an average H 2 O content of 6.33 wt %, identical to the overall EMP average of the https://doi.org/10.5194/ejm-35-1031-2023dataset, whereas the average Cl content (600 ppm) is roughly half of the overall EMP average.One single inclusion (corresponding to analysis OSZ10_1) shows significantly lower H 2 O and Cl with respect to the other analyses, suggesting that the inclusion underwent volatile loss.
In the GA samples we analysed 15 inclusions from 3 different garnets.The size of the inclusions was generally < 10 µm in diameter and did not allow for multiple analyses; moreover, the analysable surface of the glassy inclusion is furthermore reduced by the common occurrences of bubbles (Fig. 1d).The measured H 2 O content of the glassy inclu-sions ranges from 1.22 wt % to 3.15 wt % with an average of 1.98 wt %.When the different garnets are considered, the average H 2 O content ranges from 1.62 wt % to 2.48 wt %.The measured Cl content ranges between ∼ 200 and ∼ 600 ppm, with an average of ∼ 370 ppm, without a clear correlation with H 2 O (Fig. 2).
For the RUB samples, NS data were collected on 11 inclusions from 9 garnets.As in the previous case study, the small size of the inclusions (≤ 10 µm) did not allow for multiple analyses.The H 2 O contents range from 0.09 wt % to 1.54 wt %, with an average of 0.91 wt %.The Cl contents re-  ported in Table 1 and in Fig. 3 were measured via EMP on the same inclusions and then analysed via NS, and they show a positive correlation with the H 2 O content.

Reliability of anatectic MI for volatile quantification
Volatiles in deep melts are a crucial piece of the puzzle represented by deep natural processes of crustal reworking.It is thus self-evident how important it is to extract reliable information from MI in metamorphic rocks.However, are these inclusions reliable probes of the volatile content of deep melts?The first NS work on nanogranitoid from the Ronda migmatites from Bartoli et al. (2014) already tackled the problem of their reliability in terms of H 2 O quantification in a comprehensive way, providing an overwhelmingly positive answer to this question.This complemented the work of Bartoli et al. (2013a), where similar conclusions were reached using EMP and microraman data.This conclusion has then received further, unequivocal support and strength from the wealth of nanogranitoid studies over the last decade (Ferrero et al., 2019;Nicoli and Ferrero, 2021;Bartoli, 2021).For sake of brevity, here we discuss only what we think are the two strongest pieces of evidence: the lack of chemical/pressure gradients and their successful re-homogenization by experimental means.Magmatic MIs forming in olivine sitting in a crystallizing magma experience important pressure and chemical gradients because they are surrounded by a degassing magma in a melt-dominated system (discussion in Bartoli et al., 2014).Conversely, an anatectic MI forms in a solid-dominated system, e.g. a rock, which is slowly undergoing partial melting with generation of small amounts of melt, at least in the initial stages.If partial melting proceeds, the system may achieve melt connectivity (likely at 7 vol % of melt; Rosenberg and Handy, 2005), thus leading to the melt being rapidly drained and preventing its accumulation in the source rock.The lack of a chemical or pressure gradient due to the absence of large batches of magma in the rock at any given time thus prevents the anatectic MI from losing (as well as gaining) H 2 O after entrapment -obviously this is true only when evidence of decrepitation, such as cracks, is absent in the inclusions (see also Bartoli et al., 2014).
Experimental re-homogenization (Bartoli et al., 2013a, b) is a fundamental step in nanogranitoid studies.Experimental reheating under confining P is performed using a piston cylinder press, without adding water.This leads to the rehomogenization of formerly polycrystalline inclusions into melt, and then, after quenching to glass, it allows direct analyses via EMP and other in situ techniques.The P -T conditions chosen for the experimental runs correspond to the host formation, and they are obtained beforehand via independent methods (thermodynamic modelling, classic geothermobarometers). Admittedly, in the majority of case studies (see e.g.Ferrero et al., 2019Ferrero et al., , 2021;;Gianola et al., 2021, to name a recent few), multiple experiments at variable P -T conditions were necessary to obtain complete rehomogenization.Such a discrepancy may be the combined result of garnet growth, and thus melt entrapment, occurring before the rock attains (and record) metamorphic peak conditions, as well as intrinsic error/uncertainties of the different approaches used for P -T estimation.However, this experimental approach eventually proved successful, i.e. led to complete re-homogenization, in every single nanogranitoid investigation performed so far (Nicoli and Ferrero, 2021, for the most up-to-date list, Ferrero et al., 2021;Borghini et al., 2023a; see also Liu et al., 2023).The re-homogenization of formerly crystallized nanogranitoids at T substantially consistent with that calculated via other approaches is in itself clear evidence that H 2 O is not lost after entrapment.H 2 O loss would in fact shift the melting T of the enclosed melt to higher T , as proven by the extensive literature on haplogranitic melts, or altogether prevent the re-homogenization in case of complete H 2 O loss (Makhluf et al., 2017, and references therein;Ferrero et al., 2019).
In a nutshell, every single piece of evidence so far collected on the topic of H 2 O content modifications in nanogranitoids strongly supports the fact that they preserve their original H 2 O content.The reliability of Cl -as well as of other halogen -measurements in anatectic MI has not been investigated so far (see also Sect.5.5 below).However, previous studies on MI in both natural systems and experiments show that the fates of H 2 O and Cl in melts are coupled (Webster et al., 2018), making it therefore likely for the Cl content of anatectic MI to be representative of the original one.All of these considerations thus allow us to confidently delve deeper into what these in situ measurements of volatiles in melts tell us about deep processes of crustal reworking. https://doi.org/10.5194/ejm-35-1031-2023

Novel NS data on H 2 O in silicate melts
Two out of the three new case studies addressed in the present contribution, i.e.OSD and RUB samples, preserve crustal melts generated at HP conditions, i.e. in the range 1.6-3.0GPa, consistent with deep continental subduction.
Our study reports novel NS data on volatiles from these two case studies, marking a significant advancement in terms of knowledge of natural granitoid melts in HP rocks.So far, natural HP melts have been investigated in the partially melted metasediments of the Central Maine Terrane (CMT) in terms of geochemical composition -including volatiles (Ferrero et al., 2021) -whereas previous studies on the OSD (Ferrero et al., 2015(Ferrero et al., , 2019) ) and RUB samples (Borghini et al., 2018(Borghini et al., , 2020) investigated here did not target the volatiles.
NS measurements on the OSD samples show that the HP silicate melt trapped at 875 • C (Ferrero et al., 2015) contains ∼ 6 wt % of H 2 O (average, n = 36).The silicate melt in RUB samples is much less hydrous, with an average of ∼ 1 wt % (n = 11) consistently with a significantly higher entrapment T (1000-1050 • C; Borghini et al., 2018).The work so far performed on nanogranitoids suggests that they can be regarded as "ideal natural experimental charges of melt" (Ferrero et al., 2015), making the existent corpus of knowledge on experimental melts the most straightforward term of comparison to better understand the message of these inclusions.Caution is however advised insofar significant discrepancies are to be expected.For instance, experiments may not be fully representative of natural processes due to metastability phenomena, as discussed in detail by Bartoli (2021).Moreover, Carvalho et al. (2023a) have recently pointed out how NS data on natural MI show often higher H 2 O contents with respect to those observed in experimental melts produced at similar P -T -fluid conditions, likely due to differences in oxygen fugacity.Despite these caveats, when we compare our novel results with the H 2 O isopleths of a melt of granitic composition from experiments, we can observe some striking correspondence.In particular, the OSD melt has H 2 O contents remarkably consistent with the results of Hermann and Spandler (2008) at 2.7 GPa (Fig. 4).Similarly, previously published data for the CMT samples of Ferrero et al. (2021) show that the average H 2 O content of 4.4 wt % measured in the melt is consistent with the (extrapolated) experimental results on haplogranitic melts in the field 1000-1050 • C and 1.7-2.0GPa (Fig. 4).
Such remarkable similarity between nature and experiments on (simplified) granitic melts does not however hold for the melt in the RUB samples, which are far less hydrous despite (1) having similar protolith and P -T formation conditions to the CMT nanogranitoids and (2) likely being the product of a fluid-assisted partial melting (Borghini et al., 2018(Borghini et al., , 2020)).The most likely explanation lies in the geochemical features of the melt source, an hypothesis which cannot however be satisfactorily tested due to the absence of  2017) and references therein.For melts at P ≥ 2.5 GPa we use curves from Hermann and Spandler (2008).The H 2 O contents of the experimental melts come from mass balance calculations.
suitable metasedimentary lithologies in the surrounding of the sample location in the Granulitgebirge.
With respect to the previous case studies, the melt hosted in the GA samples was instead trapped at much shallower, mid-crustal conditions, ∼ 0.5 GPa and ∼ 800 • C (Ferrero et al., 2014).Our NS measurements on GA glassy inclusions show an average H 2 O content of ∼ 2 wt % with a maximum amount of 3.15 wt %.Interestingly, both values are significantly lower than the average fluid content estimated via difference from EMP totals, 4.2 wt % (after alkali-loss correction; see Ferrero et al., 2014).The latter value represents the total amount of volatile species dissolved in the preserved glass, thus suggesting that in this case study a significant aliquot of the fluids is likely represented by volatiles other than H 2 O and Cl (∼ 400 ppm or 0.04 wt % average).In this particular case study the investigated MI occurs in clusters along with multiphase inclusions containing CO 2 , N 2 and CH 4 visible under microraman investigation.This was interpreted as evidence for primary fluid-melt immiscibility, i.e. the garnet grew in presence of both a silicate melt and a COHN fluid (Ferrero et al., 2014).Thus, such constraints suggest that the melt in GA samples contain C as the main volatile other than H 2 O, along with minor N. Primary fluidmelt immiscibility in peritectic garnets was first reported by Cesare et al. (2007) and then recognized over the following decade in 12 out of 50 case studies of nanogranitoids, i.e. 25 % of the total (Nicoli and Ferrero 2021), including in Archean samples from Greenland (Nicoli et al., 2022b).Such findings provide a very strong support to the idea that partial melting at depth takes often place in presence of a COHN fluid rather than a simple H 2 O-rich fluid (Carvalho et al., 2020, and references therein).

H 2 O heterogeneities at the microscale
The NS dataset collected on the OSD samples is the largest to date on a single case study and consists of 45 analyses on 36 different nanogranitoids (Table 1), collected on 10 different garnets.The average H 2 O contents of the inclusions clearly display a certain spread when grouped per garnet, from ∼ 4.4 wt % in garnet 5 (n = 2) to ∼ 7 wt % in garnet 10 (n = 10; Fig. 2), despite their occurrence in a fairly homogenous rock such as a metagranitoid.
Heterogeneities in H 2 O contents of similar magnitude were already reported in the very first work about NS measurements on re-homogenized inclusions from the Ronda migmatites by Bartoli et al. (2014), where the average values reach almost a 200 % variation (5.4 wt % to 9.1 wt %).The authors proposed that such a feature may be the result of microscale-level compositional differences of the phase assemblage reacting to produce melt at relatively low T , ∼ 700 • C, and 0.5 GPa (Bartoli et al., 2013b).
Droplets of melt are indeed likely trapped by the peritectic garnet as soon as the dehydration melting starts (Cesare et al., 2015), making it plausible for the initial melt forming in different locations (hence different batches) inside the same rock to have slightly different compositions.Such variability would also be more pronounced if the host rock underwent only a limited degree of melting, which would prevent the achievement of significant melt interconnectivity between different batches and, therefore, melt homogenization across the whole rock volume (Acosta-Vigil et al., 2017).Indeed, both Ronda migmatites and the OSD metagranitoids (this study) likely experienced limited melting, i.e. < 10 vol % (Bartoli et al., 2015) and 5 vol %-15 vol % (Roberts and Finger, 1997, on similar rocks) respectively, thus making it plausible that also the OSD MI contains an initial melt with variable H 2 O content because of being buffered by (slightly) different phase assemblages; i.e. see the concept of mosaic equilibrium proposed by Bartoli et al. (2014).
A further factor likely to favour heterogeneities in H 2 O activities in different melt pools is the presence of graphite -a common rock-forming mineral in metasediments such as the Ronda samples.However, graphite is notably absent in metaigneous rocks such as the OSD samples, and this may have helped the system to maintain a narrower H 2 O content variability in these rocks vs. the Ronda metasediments.

Comparison with the existent database of H 2 O NS data on re-homogenized anatectic MI
The NS approach has generated to date a rich database consisting of 236 single analyses on anatectic melts of broadly granitoid composition (Table 2).These analyses belong to 11 different datasets, each one corresponding to a nanogran-itoid population trapped at specific P -T conditions.In some cases, multiple datasets are from the same work.Carvalho et al. (2018) investigated three nanogranitoid populations from rocks melted at different P -T conditions, e.g. the upper amphibolite facies, transition zone and granulite facies visible in Table 2 as C18-UA, C18-Tr and C18-G, respectively, all of them from the Ivrea-Verbano Zone.Acosta-Vigil et al. (2016) instead report two nanogranitoid populations, one in the garnet core (AV16a) and one in the garnet rim (AV16b), which record two separate melting events in the same garnet.Data from Borghini et al. (2023a) are treated as two datasets as one analysis comes from a re-homogenized inclusion (B23a), whereas the remnants are from preserved glassy inclusions (B23b).The complete set of case studies considered, their relevant features and related literature are visible in Table 2, while the raw data on NS analyses are reported in the Supplement (Table S1).First of all, case studies where nanogranitoids occur with FI in the same cluster (white squares with blue rims in Fig. 5) do not show any significant difference in H 2 O content with respect to those where only nanogranitoids are present (blue squares; see also related caption).Another very apparent feature emerging from the inspection of these diagrams is that the NS data from glassy inclusions of the two new case studies reported here, GA and RUB (circles in Fig. 5), are clearly far removed from the bulk of the data so far collected on re-homogenized nanogranitoids.They display significantly lower H 2 O contents with respect to other melts at similar conditions (Fig. 5a) -this aspect will be discussed in detail in Sect.5.4.As for the re-homogenized nanogranitoids, the average H 2 O contents measured so far via NS range from 4.40 wt % of the HP metasediments of the Central Maine Terrane (Ferrero et al., 2021) to 10.31 wt % at mid-crustal pressure in Jubrique (Acosta-Vigil et al., 2016).Most of the analyses (n = 145, or 60 % of the total) have been so far performed on melt trapped at P ≤ 1.5 GPa and T ≤ 900 • C. The average H 2 O contents display a negative correlation with T (Fig. 5b; see also Carvalho et al., 2023a), consistent with the available experimental data on H 2 O in silicate melt, which predict that silicate melts are able to accommodate less H 2 O as the T increases (Johannes and Holtz, 1996).Interestingly, the NS measurements available so far show H 2 O contents higher than experimental melts at similar T , as recently pointed out by Carvalho et al. (2023a) and ascribed to differences in oxidizing conditions between natural, often graphite-bearing rocks and experiments.
Interestingly, a sizable amount of H 2 O is commonly measured even in very hot melts, e.g. at T > 1000 • C, when they formed at HP and UHP conditions (this study; Ferrero et al., 2021;Borghini et al., 2023a).Decades of work on UHP melts/fluids (Hermann and Rubatto, 2014, and references therein) have shown how the minimum H 2 O content of a melt increases with P at constant T ; i.e. see the positive slope of the liquidus curves of experimental melts (Fig. 4).However, our compilation shows that the average H 2 O content https://doi.org/10.5194/ejm-35-1031-2023 Figure 5.Comparison between this study and the literature.In the legend "Nanogranitoids" identifies case studies were only primary nanogranitoids were identified and "Nanogranitoids + FI" those in which the nanogranitoids occur along with syngenetic FI.For the latter group, the reported H 2 O content corresponds exclusively to the one measured via NS in nanogranitoids.The data are reported as average analyses and standard deviations for each case study.The abbreviations used in (a) are explained in Table 2. in nanogranitoids, regardless of the presence or absence of fluids, correlates negatively with pressure (Fig. 5c).Such a trend is likely to be a simple artifact, as in the investigated case studies P and T increase simultaneously during burial, making the observed decrease in H 2 O content more likely to be driven by the co-increase of temperature.This is visible in Fig. 5d, where the thermobaric gradients display a positive correlation with H 2 O contents.
Discrepancies between nature and experimental setups must also be considered.Progressive H 2 O loss via dehydration reactions during burial before the attainment of suprasolidus conditions is likely to limit -more or less severely -the amount of H 2 O available for melt production at depth (e.g.Connolly and Thompson, 1989), whereas experiments are generally run in presence of a H 2 O-bearing fluid.In other words, the experiments give us insights into how much H 2 O can be accommodated in deep melts if a H fluid is present, but such a condition is clearly not always satisfied in nature.Finally, novel data on natural anatectic MI at HP and UHP conditions suggest that the solubility of other important volatiles such as C (see discussion in Borghini et al., 2023a) and possibly halogens (see below) in silicate melts increases with P , thus lowering the H 2 O activity in the melt, but this needs to be supported by further in situ measurements of volatiles in natural deep melts.In conclusion, all of the factors mentioned above -synchronous T increase during burial, limited H 2 O availability and increasing importance of other volatiles -are likely to concur in lowering the H 2 O contents measured in natural partial melts as they are produced deeper and deeper in subducted continental crust.
No NS data are available on silicate melts produced at T > 900 • C and low-medium P , i.e. in the ultra-high-temperature (UHT) field (Kelsey and Hand, 2015).Experimental evidence on the stability of granitic melts calls for the possibility Table 2. Datasets used in Fig. 4. The whole analytical database is reported in the Supplement.The P -T conditions of MI formation reported in the table correspond either to the experimental re-homogenization conditions or to the results of phase equilibria modelling on the host rock.SD = standard deviation 1σ . of generating a completely anhydrous melt at T in excess of 1100 • C and P < 0.2 GPa (Johannes and Holtz, 1996).However, so far no natural case study of nanogranitoids has shown the existence of completely dry melt.Even the two cases of anatectic MI formed in the UHT field so far found in nature, i.e. from the Kerala Khondalite Belt in southern India (Cesare et al., 2009) and the Lützow-Holm Complex in East Antarctica (Carvalho et al., 2023b), still contain ∼ 0.5 wt % H 2 O (difference from EMP totals only; Ferrero et al., 2012) and < 1.3 wt % H 2 O (difference from EMP totals and microraman investigation), respectively.Similarly, nanogranitoids in sapphirine -a typical UHT mineral -were reported by Gianola et al. (2021) to contain a muscovite-bearing phase assemblage, thus confirming again that even UHT minerals trap hydrous melts.Overall, NS data on anatectic MI agree with previous nanogranitoid works in supporting the message of the experiments, insofar as the generation of silicate melts during regional metamorphism and crustal subduction requires the presence of H 2 O (e.g.Makhluf et al., 2017).

H 2 O content in glassy versus crystallized inclusions
H 2 O contents from re-homogenized nanogranitoids are clustered together, whereas data from glassy inclusions are at significantly lower H 2 O values when our new NS data are plotted against nanogranitoid literature (Fig. 5).This may raise an important, fundamental question: does the rehomogenization procedure somehow change the H 2 O content of the melt?Previous work (Bartoli et al., 2014) has shown that this is not likely, as the re-homogenization experiments are conducted without adding H 2 O; i.e. all the H 2 O required to re-melt the nanogranitoid assemblage must be already present in the crystallized inclusion.H 2 O can be bound in the structure of the OH-bearing phases, as visible from microraman maps on the inclusions (Bartoli et al., 2013b;Ferrero et al., 2016Ferrero et al., , 2021) ) and/or interstitially as a free fluid (Bartoli et al., 2013b) and/or hosted in a residual glass (Ferrero et al., 2015(Ferrero et al., , 2016)).Thus, the large difference in H 2 O content is likely to be an intrinsic feature of the inclusions.
Glassy inclusions were found in many nanogranitoid studies and proven via EMP analyses to contain a melt chemically identical, in terms of major and minor elements, to the one hosted in the coexisting nanogranitoids (Cesare et al., 2009;Bartoli et al., 2013bBartoli et al., , 2016;;Borghini et al., 2018;Gianola et al., 2021).This was expected based on microstructural constraints coming from fluid inclusion studies.For example, glassy and crystallized MI do coexist in the same cluster; they are primary and therefore they must have been trapped at the same time during host formation (Roedder, 1984).However, glass in natural rocks is commonly found in rapidly cooled magmatic rocks and thus represents an oddity in slowly cooled regionally metamorphosed rocks.When first reported by Cesare et al. (2009) for anatectic MI in migmatites of the Kerala Khondalite Belt (India), this occurrence was tentatively correlated to the fact that glassy incluhttps://doi.org/10.5194/ejm-35-1031-2023sions are statistically smaller than nanogranitoids present in the same cluster and the presence of glass ascribed to the inhibition of mineral nucleation due to the small size of the pore hosting the melt (Cesare et al., 2009).Advancements in nanogranitoid studies, fuelled by a continuously growing list of case studies across the world, have then clarified that a "size-based" explanation cannot hold.Glassy inclusions of diameter larger than that of nanogranitoids were indeed found coexisting in the very same cluster in Bartoli et al. (2015).This led the authors to propose instead that the H 2 O content of the single inclusions is the most likely controlling factor in terms of melt crystallization vs. glass preservation over geological times.This problem was comprehensively tackled by Tacchetto et al. (2021) by comparing H 2 O contents of glassy inclusions and re-homogenized nanogranitoids obtained via difference from EMP total, NS and calibrated microraman spectroscopy.The authors showed that glassy inclusions in metamorphic rocks are significantly less hydrous than re-homogenized nanogranitoids, 2.7 wt % vs. 6.9 wt % H 2 O. Mean values are calculated respectively on 106 glassy inclusions and 505 re-homogenized nanogranitoids (Fig. 12 in Tacchetto et al., 2021) sharing an overall similar granitoid composition.
A variable H 2 O content influences melt behaviour on crystallization in two main ways.First, from 3 wt % to 7 wt % the viscosity of a granitoid melt changes 2 orders of magnitude for a given T (Scaillet et al., 1996), thus leading to inhibition of the mineral nucleation process in more anhydrous melts.Secondly, higher H 2 O contents lower the glass transition T ; i.e. a more hydrous melt has more time to crystallize on cooling, thus leading to the formation of nanogranitoids rather than glassy inclusions (Tacchetto et al., 2021).
The most straightforward consequence of this finding is that investigating exclusively preserved glassy inclusions in natural metamorphic rocks will likely lead to the underestimation of the average H 2 O content of the melt, as already pointed out by Tacchetto et al. (2021).A quantification of this underestimation was provided by Borghini et al. (2023a) working on MI from Saidenbach eclogites (Bohemian Massif).There, NS data on glassy inclusions display a mean H 2 O content 25 % relatively lower than in a re-homogenized nanogranitoid containing the same melt.In the present work, NS data were collected exclusively on glassy inclusions from RUB samples.However, these results can be directly compared with the H 2 O content on re-homogenized nanogranitoids from the nearby Klatschmühle HP eclogites (Borghini et al., 2018), estimated via difference from EMP totals.The latter MIs likely entrap the same granitic melt found in the RUB samples (Borghini et al., 2020) and contain ∼ 1.3 wt % H 2 O average vs. 0.9 wt % in glassy inclusions from RUB samples, suggesting that the H 2 O in glassy inclusions is likely underestimated of ∼ 40 % with respect to the average H 2 O content in the melt.Further work based on NS analyses on glassy and crystallized inclusions from the same clusters  S3 in the Supplement.
is clearly needed to firm up these values, which to date have been based on a rather small database.
We performed exploratory phase equilibria modelling on different protoliths to evaluate whether the models could reproduce the measured H 2 O contents in glassy and rehomogenized inclusions.We chose appropriate starting compositions -average Phanerozoic shale, greywacke and granite from Condie (1993;reported in Table S2 in the Supplement) -depending on the protolith of each case study.The modelling was performed following the approach of Nicoli and Dyck (2018) using Perple_X version 6.9.0 (Connolly, 2010) in the system NCKFMASHT with the 2011-updated Holland and Powell (1998) dataset and the following a-x models: silicate melt, garnet, white mica, biotite, orthopyroxene, cordierite, chlorite (White et al., 2014); sapphirine (Holand and Powell, 1998), ilmenite-hematite (White et al., 2000); plagioclase and orthoclase (Holland and Powell, 2003); and amphibole (Diener and Powell, 2012).Bulk-rock water contents were individually fixed to produce saturated solidus conditions at the point where the prograde P -T path intersects the solidus, as defined by the thermobaric gradient associated with each dataset (Table 2).In some cases, melt inclusions coexisted with a COH-rich fluid-phase (datasets F20, C18a-b-c, G21, GA) or they were trapped during a partial melting reaction which has been inferred to have occurred in presence of fluid (AV16b, B23a-b).To test the impact of fluid-melt immiscibility on the melt H 2 O content, we added for these case studies CO 2 as a component in the system, in the amount of 1/2 and 1/4 CO 2 /H 2 O bulk ratio, along with the following a-x models: fluid (Connolly and Trommsdorff, 1991) and carbonates (Holland and Powell, 1998).The presence of a fluid phase has only minor effects on the H 2 O content of the melt (Table S3 in the Supplement, Fig. 6).When data are pooled together, the modelled melt H 2 O con-tent is rather close (within error) to the amounts measured in re-homogenized melt inclusion (Fig. 6), e.g. the black diagonal line where the correspondence is perfect (with a 1 : 1 ratio), whereas such consideration does not hold for glassy inclusions, where the modelled H 2 O content is overestimated by 2 to 4 fold (Fig. 6).Such results however suffer from the fact that modelling crustal volatiles still require more work as many issues remain (e.g.Nicoli, 2020;Carvalho et al., 2023a).For instance, uncertainties associated with the choice of starting material (e.g.Nicoli and Dyck, 2018;Palin et al., 2016) and the robustness thermodynamic models (e.g.melt) in accommodating key elements (C, Ca, Cl) (e.g.Carvalho et al., 2023a) strongly limit modelling capabilities.In addition, processes such as open system, shape of the P -T path, effective bulk composition and disequilibrium mechanisms (e.g.Evans, 2004;Villaros et al., 2009;Yakymchuk and Brown, 2014;Nicoli et al., 2017) should also be taken into consideration and could help to obtain better matches between models and nature.

Halogen in crustal melts
In this contribution we present the first NS data on Cl in preserved anatectic MI.The distribution and quantification of halogens, mainly Cl and F, in natural fluids has received considerable interest in the last decades (see Harlov and Aranovich, 2018, for an extensive review).The scientific community working on MI in magmatic rocks has devoted considerable energy to devise the best strategies to quantify these volatiles using a diverse array of in situ analytical techniques among which SIMS figures prominently (Rose-Koga et al., 2020), an effort which culminated in a comprehensive review of the approaches used to investigate MI (Esposito, 2021;Rose-Koga et al., 2021, and references therein).
At deep crustal and upper mantle levels, Cl and halogens in general are proposed to be mainly partitioned in brine (Aranovich et al., 2014).Experimental studies (Aranovich et al., 2013(Aranovich et al., , 2014) ) have generated constraints which suggest that these fluids may influence the melting behaviour of the crust at the lower crustal to upper mantle level.As volatiles such as H 2 O and halogens are redistributed into the silicate melt, high contents of Cl as well as F in silicate melts have been proposed to be possible evidence for the presence of brine during melting (Acosta-Vigil et al., 2016;Borghini et al., 2023b).Indeed, Cl has been also detected inside the nanogranitoids via EDS elemental mapping (Ferrero et al., 2012) as well as measured via EMP either on rehomogenized nanogranitoids (Borghini et al., 2023b) or in biotite crystallized from the trapped melt in MI (Axler and Ague, 2015).
Here we measured Cl via NS in OSD and GA samples and via EMP in RUB samples.GA samples show the smallest content of Cl (∼ 300 ppm or 0.03 wt %).Instead, the OSD MI displays an average Cl content of 1200 ppm, with a single garnet (garnet 4 in Table 1) hosting MI with Cl ≈ 0.25 wt %, a value consistent with range proposed as indicative for the presence of brine during melting, from 0.2 wt % to 1.6 wt % (Ferrero et al., 2021, and references therein).Even if a brine was not present during melting of these rocks, it is possible that Cl was previously hosted in biotite, the OH phase involved in dehydration melting in these rocks based on geochemical evidence (Ferrero et al., 2019).An enrichment in Cl stabilizes biotite at T above its common stability field (Kelsey and Hand, 2015) and supports the hypothesis that these rocks underwent (delayed) biotite dehydration melting at near-UHP conditions and 875 • C (Ferrero et al., 2019).A similar explanation was also put forward to support UHT melting with biotite consumption in the CMT samples (Ferrero et al., 2021).The very dry character of the OSD metagranitoid itself may have further helped in the OSD case study, along with the high dP /dT required to form HP felsic granulites (see discussion in Ferrero et al., 2015).In OSD samples also apatite -a common repository of Cl -is a common mineral inclusion in MI-bearing garnets, and it is also often found as trapped mineral in the nanogranitoids themselves (Ferrero et al., 2015).Coupled with the low P measured in the trapped melt when compared to the host rock (350 vs. 2500 ppm; Ferrero et al., 2018), this suggests that apatite was stable during partial melting; hence it did not contribute to the Cl melt budget.
Cl in MI from RUB samples was measured with a very focused beam (1-2 µm) due the small size of the inclusions, i.e. very far from the ideal conditions (20 µm beam diameter) suggested by Rose-Koga et al. (2021).Despite these caveats the measured Cl content, albeit low, is rather constant and it displays an average of 0.10 wt %, similar to the OSD samples.Although these melts formed at lower pressure/higher temperature with respect to the latter, both case studies display H 2 O and Cl contents to have a moderate positive correlation (Fig. 3).This agrees with the experimental evidence, which suggests that H 2 O and Cl have similar behaviour in silicate melts (e.g.Webster et al., 2018).As preserved glassy inclusions are generally poorer in H 2 O component (see previous paragraph) with respect to the crystallized ones in the same cluster, it is likely for the actual average Cl content of the melt generated at the RUB sample locality to be actually higher.
Cl behaviour has been mostly investigated in silicic melts at low P (≤ 0.1 GPa; Dolejš and Zajacz, 2018), due to its importance in ore-deposit formation, in hydrothermal systems (Lecumberri-Sanchez and Bodnar, 2018; see also LaMadrid and Steele-McInnis, 2021).Experimental results on mafic and intermediate melt seem instead to support a positive correlation between Cl and P (Webster et al., 2015), although there are still strong uncertainties due to the difficulty of constraining the dissolution behaviour of Cl in geochemically complex natural systems (Webster et al., 2018).An increase of halogen solubility with P also in silicate melts finds some support in the data from case studies of anatectic MI.Two cases studies where the melt formed at HP conditions https://doi.org/10.5194/ejm-35-1031-2023(P ≥ 1.7 GPa), OSD samples (this study) and CMT samples (Ferrero et al., 2021), display significant average amounts of Cl (0.12 wt % and 0.32 wt % respectively) and comparable F (0.31 wt %) for CMT only.High amounts of halogens, 0.41 wt % Cl (measured via EMP) and ∼ 0.20 wt % F (calculated), are also reported by Borghini et al. (2023b) in the nanogranitoids at Pfaffenberg in the Granulitgebirge, formed at P conditions similar to those of the OSD samples.Conversely, nanogranitoids trapped at P < 1.3 GPa appear to display lower average Cl contents, < 0.10 wt % (data from Gianola et al., 2021, andAcosta-Vigil et al., 2016: G21 andAVH 2 O, respectively, in Table 2).Further work targeted at extending the database of Cl measurements in natural anatectic melts is however necessary to verify such correlation.

Concluding remarks
In this contribution we present and discuss novel NS data on both H 2 O and Cl on anatectic MI and compare them to the existent database generated over a decade of NanoSIMS investigations.This allows us to draw the following considerations: -NS appears to be the most suitable tool to investigate H 2 O as well as other volatiles in objects as small as MI in metamorphic rocks.
-NS data provide hard quantitative constraints on H 2 O contents of deep melts necessary to improve the existing conceptual models of crust and partial melting.
-These data support the view that the production of silicate melt in the crust, even at very high T (> 1000 • C), requires the presence of H 2 O. Obviously, this does not implicitly rule out the possibility of future findings of nanogranitoids containing dry melts formed at extreme temperatures, e.g.> 1100 • C and low P .
-H 2 O contents measured on some melts formed under HP conditions are remarkably close to the values expected based on melting experiments at P -T conditions close or identical to the formation of the measured melts.
-NS data just prove that anatectic MI in metamorphic rocks still contain high amounts of H 2 O, up to more than 10 wt % average H 2 O in one case study (Acostavigil et al., 2016).This provides strong evidence in support of the idea that MI can preserve their original H 2 O during exhumation (Malaspina et al., 2017; see discussion in Ferrero and Angel, 2018).
-H 2 O contents measured via NS appeared to be heterogeneous at the microscale since the very first NS study of nanogranitoids in metasediments.Such an occurrence was explained by the existence of a mosaic equilibrium in different microdomains undergoing melting (Bartoli et al., 2014).However, our large dataset acquired on the OSD metagranitoid shows that heterogeneities in H 2 O contents, albeit less pronounced, are also visible in rocks with an igneous protolith.
-NS data on natural preserved glassy inclusions show how they cannot be regarded as directly representative of the average melt at depth in terms of H 2 O content.Thus, as already proposed by Tacchetto et al. (2021), measuring the H 2 O content only of natural glassy inclusions in metamorphic rocks is likely to lead to the underestimation of the melt H 2 O content of ∼ 25 %-40 % with respect to the average H 2 O content in the melt (this study; see also Borghini et al., 2023a).
-The investigation of halogens in anatectic MI represents a novel and fruitful research avenue to investigate the role of such consequential elements in crustal evolution (see also Borghini et al., 2023b), especially in terms of clarifying the role of brine at depth during crustal melting (e.g.Aranovich and Safonov, 2018).Our first NS data on Cl in anatectic melts, combined with H 2 O data and previous work on F and Cl (Ferrero et al., 2021), show that H 2 O and Cl contents in each inclusion are positively correlated, and higher P seems to favour the solubility of Cl in hot (≥ 850 • C) felsic melts.
In conclusions, NS investigation of anatectic MI is an effective approach to clarify the budget of volatiles at depth.More studies targeting these objects are thus necessary to enlarge the database and cover the wide range of lithologies which can reach melting conditions under crustal P -T -X conditions, thus helping to unravel further the intricate bundle represented by the topic of crustal differentiation and partial melting of metamorphic rocks.
Data availability.The data used in the article are included in the article (Tables 1 and 2) or in the Supplement (Tables S1-S2).Raw data can be provided by the corresponding author upon request.
Author contributions.SF designed the project, collected the samples and wrote the manuscript.SF and AB conducted the study and acquired the data with the help of LR.BW performed the rehomogenization experiments with SF and AB.GN performed modelling and contributed to data interpretation.SF, AB and GN designed the art work.All authors participated in data interpretation along with RB and preparation of the manuscript.
Competing interests.At least one of the (co-)authors is a guest member of the editorial board of European Journal of Mineralogy for the special issue "Probing the Earth: Melt and solid inclusions as probes to understand nature".The peer-review process was guided by an independent editor, and the authors also have no other competing interests to declare.
Disclaimer.Publisher's note: Copernicus Publications remains neutral with regard to jurisdictional claims made in the text, published maps, institutional affiliations, or any other geographical representation in this paper.While Copernicus Publications makes every effort to include appropriate place names, the final responsibility lies with the authors.
Special issue statement.This article is part of the special issue "Probing the Earth: Melt and solid inclusions as probes to understand nature".It is not associated with a conference.

Figure 1 .
Figure 1.Features of the targeted samples.Panels (a), (c) and (e) show the petrographic features of the MI-bearing garnets and (b), (d) and (f) the features of their inclusions.Microraman spectra acquired on glassy inclusions (after re-homogenization for OSD and in natural samples for GA and RUB) from the three different case studies are reported in (g).The large band at ∼ 2800 cm −1 in GA spectrum is due to the presence of araldite in the analysed volume.Ng -nanogranitoids; white arrows -glassy inclusions with or without bubbles and mixed inclusions in the sole case of GA samples (in d).Mineral abbreviations afterWhitney and Evans (2010).For sample abbreviations see text.

Figure 2 .
Figure 2. NanoSIMS results on H 2 O and Cl contents in the anatectic melt inclusions from OSD, GA and RUB samples.* denotes glass in interstitial pocket.Dashed lines -difference of the average EMP totals from 100 for each case study.H 2 O EMP -average H 2 O contents from EMP difference (H 2 O EMP ) are from Ferrero et al. (2019) for OSD, Ferrero et al. (2014) for GA and from the Supplement of Borghini et al. (2018) for RUB.

Figure 3 .
Figure 3. H 2 O versus Cl content in anatectic MI.Cl was measured via NS in OSD and GA (this study; see Fig. 2), and via EMP in RUB (Table 1 in this study).

Figure 4 .
Figure 4. P -T diagram with comparison between NS data of HP anatectic MI versus experiments on granitic melts from literature.The H 2 O isopleths of the melt at P ≤ 2.2 GPa are from Makhluf et al. (2017) and references therein.For melts at P ≥ 2.5 GPa we use curves fromHermann and Spandler (2008).The H 2 O contents of the experimental melts come from mass balance calculations.

Table 1 .
H 2 O and Cl in the three investigated case studies.Analyses acquired on the same inclusions are indicated with the same letter.In comments we report the features of each investigated inclusion at the moment of NS analytical session -see text for clarifications.
* Chlorine (in wt %) estimated via EMPA on the same inclusions.* * Glass in interstitial position.na -not analyzed.
Table 1 in this study).