## Introduction

Subduction zones are major sites of chemical exchange between Earth’s deep interior and surface. The subducting oceanic lithosphere releases fluids through a series of metamorphic, dehydration reactions which induce melting in the mantle wedge and result in arc magmatism. The magnitude and origin of these key fluid fluxes, however, remain uncertain1,2,3. The primary source of water to subduction zones has traditionally been linked to the breakdown of hydrous minerals contained in the oceanic crust4. However, more recent synthesis of high-pressure experiments, geochemical observations and geophysical models argue that dehydration of subducting serpentinite plays a more critical role in elemental transport and arc magma generation (see review in ref. 5).

Whilst the importance for serpentine in bringing water down to sub-arc depths is now widely acknowledged, two contrasting scenarios are envisaged for its involvement5. In one endmember, serpentine forms above the slab, trapping fluids released from the crust in the shallow subduction zone, and is down-dragged with the descending plate. This serpentine potentially forms a mechanical melange with the underlying crust and ultimately rises diapirically6. This process has been invoked to account for the geology of some exhumed terrains7, and aspects of arc magmatism8. A second conceptual model instead places the serpentine layer beneath the subducting crust, as a result of ingress of water along transform faults or during plate bending prior to subduction9. Serpentine dehydration beneath the subducting crust facilitates the removal of elements from the whole crustal section during subsequent passage of the fluid into the source of arc magmas and so this scenario has major ramifications for element cycling10. Although an increasing number of seismological studies have presented evidence for significant subduction of serpentinised slab mantle at various destructive plate margins11,12,13, its importance has also been vigorously questioned14. New constraints to distinguish between these different models of serpentine involvement in arc magmatism would therefore be very valuable.

Molybdenum (Mo) systematics show promise for tracing the origin of fluids in subduction zones for two reasons. First, high-pressure experiments have shown that Mo mobility reflects the redox condition of slab-derived fluids15. Second, recent studies16,17,18,19 have shown that arc lavas are generally enriched in Mo and have δ98/95MoNIST 3134 that are higher than values of the primitive mantle20, depleted mid-ocean-ridge basalts21 and most oceanic sediments17. The high δ98/95MoNIST 3134 in depleted arc lavas has been inferred to reflect Mo isotopic fractionation caused in its partitioning into fluids traversing the subducting crust from underlying, serpentine dehydration17,18. If correct, then Mo isotope systematics can identify the style of serpentine involvement in arc magmatism, although other interpretations of high δ98/95MoNIST 3134 in arc lavas have been proposed16,19.

Here, by analysing material complementary to arc magmatism, namely exhumed fragments of subducted oceanic lithosphere, we provide a fresh perspective on the cause of Mo isotopic fractionation during subduction. In natural and experimental samples, we show that Mo in rutile, a common accessory phase in the mafic, subducted crust, is isotopically light. We further report low δ98/95MoNIST 3134 and Mo/Ce in bulk eclogite and blueschist samples that reflect the control of residual rutile during fractional loss of Mo caused by a large, oxidised, reactive-fluid flux.

## Results

### Samples

We have examined samples from two well-characterized metaophiolite complexes (Table 1; Supplementary Table 1). The Raspas Complex, Ecuador, contains metasediments, blueschists, eclogites, and eclogite-facies, serpentinised peridotite, which all experienced similar peak pressure-temperature conditions of ~ 2 GPa and 600 ± 50 °C22,23. The Cabo Ortegal Complex eclogites record comparable peak metamorphic conditions of 650–670 °C, using Zr-in-rutile data from Schmidt et al.24 in combination with a temperature calibration from Ferry and Watson25 and pressures > 1.7 GPa26.

The eclogites from both suites have Nd isotope ratios and key trace-element ratios like those of mid-ocean ridge basalts (MORB), see Fig. 1a. This indicates a depleted, oceanic crustal protolith, as expected of typical subduction zones and further precludes significant contributions from sediment melts or crustal contamination23,27. Although the Raspas blueschists are more ‘enriched’, they still have oceanic geochemical affinities (Fig. 1a) and are inferred to represent subducted seamounts23. Elements which show consistent, depleted, MORB-like characteristics in the eclogites (e.g. rare earth elements, high field strength elements and thorium) are empirically inferred to be fluid immobile10,23 and this set of elements is consistent with those considered to be fluid immobile from arc lavas systematics28. More strictly, these observations suggest that there is residual zoisite and rutile along the pathway of percolating fluids which results in the immobility of these elements.

Fluid mobile elements reflect a more complex history (Fig. 1b). Compared with a MORB protolith, Sr is depleted relative to Nd, a fluid immobile element of similar magmatic incompatibility. Such elemental loss to slab-derived fluids is consistent with arc lava systematics28,29. Barium has also been inferred to be highly fluid mobile during subduction28 and it has been observed to be specifically enriched in fluid inclusions within the Raspas eclogites30. Yet, relative to its fluid immobile analogue Th, Ba is not as ubiquitously depleted as Sr in the eclogites (Fig. 1b). The anomalously high concentrations of Ba (and some other elements such as Pb and K, not shown) can be linked to secondary formation of phengite from late percolating fluid, which can locally re-enrich eclogites in fluid mobile elements compatible in this phase23.

### Molybdenum systematics of exhumed oceanic crust

As with some of the more traditionally used fluid mobile elements (Fig. 1b), our samples show notable perturbations of their Mo elemental and isotope systematics relative to unaltered, depleted MORB (Fig. 2). Given comparably incompatible behaviour of Mo and Ce in magmatic processes, oceanic basalts have nearly constant Mo/Ce31. All the eclogite samples studied here have Mo/Ce considerably lower than this canonical mantle value of ~ 0.0331. The majority of eclogites also have significantly isotopically lighter Mo than either altered or unaltered oceanic crust (Fig. 2). There is a general trend from unaltered, depleted MORB towards low Mo/Ce and low δ98/95MoNIST 3134, albeit with two outliers with less negative δ98/95MoNIST 3134 at low Mo/Ce. Notably, the sample array appears to originate from a normal MORB composition rather than a significantly altered oceanic crustal (AOC) protolith (Fig. 2).

For one eclogite sample (SEC46-1) we have analysed the Mo concentrations and isotope compositions of individual phases (Table 1). In keeping with the work of Zack et al.32, rutile is the dominant host of Mo (~ 5 µg g−1). Rutile is also isotopically  lighter (δ98/95MoNIST 3134 = −0.75‰) than co-existing omphacite (δ98/95MoNIST 3134 = −0.16‰) and garnet (δ98/95MoNIST 3134 = −0.29‰). Compositional and modal data from the minerals can be used to reconstruct a bulk eclogite value (δ98/95MoNIST 3134 = −0.58‰) within error of the measured whole rock analysis (Table 1). We further analysed rutile separates from one of the perturbed, higher Ba/Th samples (SEC43-1) which gave δ98/95MoNIST 3134 = −0.31‰, in keeping with its higher bulk δ98/95MoNIST 3134.

Our analysis of one eclogite that shows petrological signs of regression (SEC50-1), is not noticeably distinct from the others (Table 1), indicating the Mo systematics are robust to resetting and dominantly reflect prograde processes. Two serpentinites from the Raspas complex have high δ98/95MoNIST 3134 ( >0.1‰), presumably reflecting their interaction with isotopically heavy seawater (δ98/95MoNIST 3134 ~ 2.3‰)33 during serpentinisation. Although the serpentinites are enriched in Mo relative to Ce (Table 1), their Mo abundances are still very low (<20 ng g−1), and markedly lower than even the most Mo-depleted eclogites.

### High-pressure experiments

In order to help account for our observations, we conducted experiments on the fractionation of Mo isotopes between rutile and hydrous siliceous melt. The latter is taken to represent subduction zone fluids, and though an imperfect analogue, it provides an experimentally convenient initial means to assess possible isotopic fractionation. It is important to note that Mo is dominantly tetrahedrally coordinated, as Mo(VI)O42− species, both in siliceous melts34 and aqueous fluids35. In contrast, Mo occupies an octahedral site in rutile. Given co-ordination changes are a major driver of isotopic fractionation (e.g. ref. 36), siliceous melt should therefore provide an adequate substitute for aqueous fluid for this preliminary investigation.

Experimental procedures are detailed in Methods and the results of the one successful experiment are summarised in Supplementary Table 2. We show that the liquid phase is isotopically heavier than the rutile (Δ98/95Mofluid-rutile = 0.90 ± 0.17‰ at 600 °C, see Methods), consistent with the sense of fractionation predicted by rule of thumb changes in co-ordination of Mo between rutile and fluid/melt.

## Discussion

We argue that the marked depletion of Mo recorded by low Mo/Ce (Fig. 2) reflects its loss during extensive reactive fluid flow across the subducted crust10,37, in keeping with low Sr/Nd in the eclogites (Fig. 1b). The coupled decrease in δ98/95MoNIST 3134 and Mo/Ce (Fig. 2) implicates isotopic fractionation is associated with Mo loss. The nearly two orders of magnitude variation in Mo/Ce indicates a variable degree of interaction with fluid as might be as anticipated from channelised flow during slab dehydration10,38,39. All samples have Mo/Ce lower than MORB and so Mo does not seem to be significantly affected by the subsequent process that adds some fluid mobile elements such as Ba (Fig. 1b). This addition reflects late fluid percolation that causes secondary growth of phengite. Such a fluid is unlikely to cause further rutile growth to host additional Mo but should be isotopically heavy (see below) such that re-equilibration will increase the δ98/95MoNIST 3134 of existing rutile, as we observe in one rutile sample (SEC43-1, Table 1), and move the bulk samples above the main array (Fig. 2) as is observed for two samples.

Pre-existing protolith Mo isotope heterogeneity21 or variable interaction with sediment-derived melts17,18 might be invoked to explain the Mo isotopic variability. However, the enriched MORB have higher rather than lower δ98/95MoNIST 3134 than depleted MORB21 and although interaction with sediment-derived melts has been used to explain light Mo isotopes in some arc lavas17,18, this scenario can be ruled out as the eclogites have MORB-like rare earth element patterns and Nd isotopic signatures23,27,40.

As an initial quantification of the Mo systematics of the eclogites, we have modelled our data using a Rayleigh fractionation calculation (see Models). This simplistic approach provides a minimum estimate of the relative amount of fluid that has interacted with the residual solid. The slope of the data in Fig. 2 is essentially controlled by the fractionation factor (αfluid-eclogite), which we therefore empirically infer to be 1.0002–1.0004 (Fig. 2), corresponding to instantaneous fluid-rutile differences (Δ98/95Mofluid-rutile) of 0.9–1.1‰. These values are reassuringly similar in sign and magnitude to our experiments (0.9 ± 0.17‰, see above), despite the differences in fluid composition of our experiments and those experienced by the eclogites (see Methods for further discussion).

The magnitude of decrease in Mo/Ce and δ98/95MoNIST 3134 of a sample depends on its net Mo loss, which is a function of the fraction of fluid loss and Mo solubility in the fluid. Fortunately, the temperature and oxygen fugacity (fO2) dependence of solubility of Mo in fluids at appropriate sub-arc conditions have been experimentally calibrated15. Since the temperature of rutile equilibration is independently monitored by its Zr concentration24 or other thermobarometry22,23, our data allow us to examine the fO2 of the fluids that transported Mo from the eclogites. Admittedly, we also need to stipulate residual mineralogy and fluid salinity, but these are sufficiently well constrained for the sensitivity of the calculation to these parameters. We assume that the eclogites have garnet/clinopyroxene = 30:70 and contain 1.5% rutile23, as set by the typical depleted MORB Ti contents of the samples. Evidence from experiments and natural rocks indicate that high-pressure fluids liberated by dehydration have low salinities41 and this has been specifically documented for fluid inclusions trapped in the Raspas eclogites30. We use a fluid containing 5 wt% NaCl as an appropriate composition (parameters and models are described in detail in the Methods).

We illustrate the isotopic effects of Mo removal by fluid loss from subducted crust in Fig. 3a. Significant Mo loss and associated isotopic fractionation in the residual eclogite is only achieved as a result of high Mo solubility at oxygen fugacities at least two orders of magnitude above the fayalite-magnetite-quartz buffer (FMQ + 2). Even for a fluid as oxidised as FMQ + 5, a sizeable relative fluid loss (F > 0.05) is still required to reproduce the low δ98/95MoNIST 3134 we observe in our samples (Fig. 3a). This fraction of fluid loss is more than the upper bound of ~ 5% for the initial water content of subducting crust that can be estimated from analyses of the most altered, uppermost ~ 500 m of mafic oceanic crust42, and much more than typical water contents < 0.6 wt% in unaltered, depleted MORB43 which appears a more likely protolith of our eclogite samples (Fig. 2). Much larger fractions of fluid loss are required to model the isotopically lightest Mo compositions at lower fO2 (Fig. 3a, b).

Not only is the amount of fluid that can be released from the subducted AOC limited but it is also unclear if such fluids will be sufficiently oxidising. There are few studies of the oxygen fugacity of prograde conditions recorded by exhumed eclogites that might have been imposed on fluids released, but the typical presence of pyrite inclusions in garnets44 suggests modest fO2, estimated to be a little below FMQ for Tian Shan eclogites45. Further evidence that an external source of fluid is key for perturbing the Mo systematics is that the most extreme δ98/95MoNIST 3134 and Mo/Ce are displayed by a blueschist, which must have experienced less loss of its initial water budget than an eclogite in a simple model of prograde fluid loss. Importantly, this low δ98/95MoNIST 3134 of the blueschist is not related to differences in protolith composition as Bezard et al.21 showed that enriched MORB (analogous to the Raspas blueschists, Fig. 1) have higher δ98/95MoNIST 3134 than depleted MORB (analogous to the Raspas eclogites).

An underlying serpentinised, slab mantle is an appealing potential source of oxidised and abundant fluids10,30,46,47,48,49,50. Serpentinites have low Mo abundances (Table 1) and so serpentine derived fluids will have the capacity to dissolve and transport Mo from the overlying crust, through which the fluids must pass as a consequence of subducted slab stratigraphy. Intrinsic, chemical heterogeneities within the serpentinites cause fluid flow channelization12,38. Although all eclogites will have experienced some fluid flow, not least to facilitate transformation to an eclogite-facies assemblage either by blueschist dehydration or gabbro-to-eclogite conversion10, the variable Mo isotope systematics of the different samples (Fig. 2) indicates different fluid fluxes as would be anticipated from channelised flow.

Numerical models imply that uniform and pervasive porous flow is too slow to drain all water generated by dehydration of the slab, which requires high porosity, high permeability channels in a developing network38. Clear geological evidence for such major conduits is lacking. While there are good examples of smaller scale, vein features37,38,39, they are not sufficiently numerous to have been the locus of major fluid flow. Additionally, such veins are more fracture-like structures and do not clearly document fluid interaction with a large enough volume to provide the major chemical fluxes to subduction zone magmatism. Meso-scale flow structures (i.e. at a dm to m or ‘hand specimen’ scale) with high permeability generated by, for example, porosity wave-like mechanisms51,52 are thus required, but such permeability transients may leave no obvious record in the field53. We suggest that the Mo systematics provide a valuable tracer of such meso-scale channelisation. In order to remove and isotopically fractionate Mo, fluid flow has to be reactive and not fracture dominated. The variability of the Mo depletion from the rock volumes represented by our bulk samples further indicates a decimetre length-scale or more for such channel organisation.

The highly oxidising conditions required for our calculated fluid flow are striking, but in keeping with independent work. Calculations indicate that fluids released from serpentine can be between FMQ + 2 and FMQ + 5, depending on the buffering role of sulphides48,54. Matjuschkin et al.55 have experimentally demonstrated that the powerful eight-electron transition from sulphate to sulphide is highly pressure dependant and easily shifted to these high fO2 values above 2 GPa. Recent experiments and observations further point to an important role for oxidised, serpentine derived fluids in the subduction zone54,56,57.

The isotopically light signature of exhumed depleted MORB eclogites makes an appropriate complement to isotopically heavy island arc lavas (Fig. 2). Although some sediment rich arc lavas also have elevated δ98/95MoNIST 313416,17 and some authors16,19 have argued for a role of crystal fractionation in increasing δ98/95MoNIST 3134 (see additional discussion in ref. 58), neither of these processes account for high δ98/95MoNIST 3134 in sediment poor, relatively mafic arc lavas17,18. The high Mo contents of arc lavas imply a substantial flux of isotopically heavy δ98/95MoNIST 3134. Freymuth et al.17 argued that the high δ98/95MoNIST 3134 from ~500 m of AOC was insufficient to satisfy the Mo isotopic mass balance at the Mariana arc, requiring an additional source of isotopically heavy Mo. The Pb isotope systematics of the Mariana lavas further indicated that Pb, and by inference that of other fluid mobile elements, originated from largely unaltered, mafic crust17. Our study here illustrates a mechanism by which this source can supply isotopically heavy Mo (see Fig. 4).

Although we argue that serpentinites are the source of the fluid that results in the notable Mo isotopic fractionations, we stress that the intrinsic Mo budget of the serpentines themselves is not significant in the overall mass balance. The isotopically heavy nature of Mo in serpentines can modestly add to the high δ98/95MoNIST 3134 of fluids added to arc lavas, but the total amount of Mo in the serpentinites is an order of magnitude less than the amount of Mo lost by the fluid-fluxed eclogites. The serpentinised peridotite in the Raspas complex at peak metamorphic conditions (~2 GPa and ~600 °C) must have already lost water through brucite–antigorite breakdown (ref. 38,47). Either this reaction, or alternatively terminal antigorite breakdown (>600 °C; ref. 47), which occurred further down dip in the palaeo slab, provided the water to flux the eclogites.

An important consequence of our explanation of elemental and heavy isotope depletion of Mo in eclogites, and their complementary enrichment in arc lavas, is that oxidised fluids derived from serpentines must pass through the overlying crust via reactive flow. Our observations imply that crust and serpentinite are dominantly in their original stratigraphy, with the latter underlying the former (Fig. 4). This in turn argues against a melange zone as a dominant source of fluids for arc lavas (e.g., ref. 8), which much less obviously requires passage of slab fluids through a coherent section of the oceanic crust.

In typical subduction zones, almost all isotopically light eclogites will be subducted to depth rather than exhumed. Thus, the distinctive Mo isotopic fingerprint imparted to the recycled crust should be evident in components of oceanic crust in ocean island basalts (OIB), if their sources are indeed dominated by recycled ocean crust. There are still limited Mo isotope analyses of OIB but δ98/95MoNIST 3134 lower than MORB values are observed by Liang et al.59. Moreover, these authors reported a trend of decreasing Mo/Ce with lower δ98/95Mo in a suite of OIB59, consistent with the systematics that our study would predict. We further note that the over-print of fluid addition in some eclogite samples (Figs. 1b, 2) will add noise to this general relationship.

Our work illustrates the utility of the redox sensitive solubility of Mo in constraining fluid flow in the subduction zone. The extensive loss of Mo from subducted crust and its associated isotopic fractionation requires a large flux of oxidised fluid, most plausibly sourced from dehydration of underlying slab serpentine. Strong but variable perturbation of δ98/95MoNIST 3134 and Mo/Ce in all our samples of subducted crust suggests they experienced widespread, channelised, reactive fluid flow. As a result, these eclogites and blueschists carry the complementary signature to isotopically heavy and Mo enriched lavas observed in several island arcs.

## Methods

### Mo isotope measurements

Mineral separates were prepared using a magnetic separator and hand picking. To remove surface contamination, mineral separates were washed for 10 min in methanol, cold 2 M HNO3, and then rinsed with deionised water.

Mo isotope analyses of the samples were performed at the Bristol Isotope Group, School of Earth Sciences, University of Bristol, using a double spike technique, largely following the protocols described in ref. 60. Unlike previous work undertaken in the lab, however, Parr bomb digestions were used to ensure complete dissolution of any rutiles which might be present in the eclogites. About 0.3–0.5 g powder was weighed into 25 ml PTFE beakers depending on the Mo concentration in each sample. For each 50 mg of sample, 1 mL reverse aqua regia (HNO3:HCl = 3:1) and 0.5 mL HF were added. The beaker was then inserted and sealed in a high-pressure bomb before placing in an oven at 200 °C for 15–48 h. Sample solutions were then evaporated to incipient dryness and re-dissolved in 6 M HCl until a clear solution was obtained. The digested sample was finally spiked with an enriched 100Mo-97Mo double-isotope tracer and refluxed in 3 M HCl overnight in order to achieve sample-spike equilibration. We chose the geological reference material (GRM) W-2a to match the bulk-rock compositions and Mo concentrations of the eclogites, which we measured together with all batches of samples. We additionally measured GRM AGV-2 and JB-2, avoiding the heterogeneous, strongly Mo contaminated BHVO-260. We made measurements of GRM using both high-pressure bomb and hotplate digestions, with no significant differences between results for either approach (Supplementary Table 3).

After chemical separation, samples were analysed using a multi-collector inductively coupled plasma mass-spectrometer (MC-ICPMS; Thermo Finnigan Neptune, serial no. 1020) aspirated as 50–70 ng g−1 Mo solution in 0.4 M HNO3−0.05 M HF. These Mo concentrations are lower than typically used in previous work from the laboratory and standards were run under the same conditions to provide accurate comparison. Our Ruthenium (Ru) doping experiments show that Ru interferences can be effectively corrected using measurements of either 99Ru or 101Ru (Supplementary Fig. 1). However, we observed occasional, non-systematic, large signals on mass 99. These signals were most likely due to polyatomic ions (e.g., 64Zn35Cl, 40Ar219F) rather than Ru itself given an absence of similar intensities for 101Ru, which we also monitored. Assuming such a signal on mass 99 was Ru would lead to an over-correction of the interference17. In order to avoid such artefacts, potential Ru interferences were corrected by both 99Ru and 101Ru for comparison, and data were rejected when the total ‘Ru correction’ was more than 0.1‰ in δ98/95MoNIST 3134. As previously observed in double spiked isotope analyses, average compositions of the reference standard within a measurement session often deviate slightly from zero. A correction was made for such drift by subtracting the average composition of NIST SRM3134 in a measurement session from each sample analysis in the same session.

The results are reported in standard δ98/95Mo notation in per mil relative to NIST SRM3134, namely δ98/95MoNIST 3134 = [(98Mo/95Mo)sample/(98Mo/95Mo)NIST SRM3134) − 1]. Replicate digestions and measurements of GRM of W-2a (n = 13) yielded δ98/95MoNIST 3134 = −0.03 ± 0.04‰ (2 SD), [Mo] = 0.41 ± 0.03 μg g−1, JB-2 (n = 5) yielded δ98/95MoNIST 3134 = 0.03 ± 0.04‰ (2 SD), [Mo] = 0.97 ± 0.15 μg g−1, and AGV-2 (n = 5) yielded δ98/95MoNIST 3134 = −0.16 ± 0.04‰ (2 SD), [Mo] = 1.88 ± 0.05 μg g−1 (see Supplementary Table 3). The isotopic compositions and concentrations of Mo of these GRM agree within error with previously-published values17,20,21,60,61. The total procedural blanks ranged from 45 to 217 pg (n = 6), which are negligible for the samples.

### Nd isotope measurements

Bulk-rock Nd isotope ratios of MORB-type eclogites from Cabo Ortegal Complex were measured using a Nu Plasma MC-ICPMS in the Institute of Oceanology, Chinese Academy of Sciences (IOCAS). About 50 mg of rock powders were dissolved with 1 ml reverse aqua regia (HNO3:HCl = 3:1) and 0.5 ml HF in a high-pressure jacket equipped Teflon beaker at 190 °C for 15 h, which was then dried and re-dissolved with 2 ml 3 M HNO3 for 2 h. The final sample solution was first loaded onto Sr-spec resin to separate Sr, with the eluted sample solution collected and then loaded onto AG50W-X8 resin to separate rare earth elements (REE). The separated REE solution was dried and re-dissolved with 0.25 M HCl before being loaded onto Ln-spec resin to collect Nd. The measured 143Nd/144Nd ratios were normalised for instrumental mass fractionation using the exponential law to 146Nd/144Nd = 0.7219. The international standard JNdi-1 was used as bracketing standard every four samples to monitor instrumental drift during the analysis. Repeated analysis for JNdi-1 gives an average 143Nd/144Nd = 0.512114 ± 0.000010 (n = 8, 2 SD). The USGS rock standards of GSP-2 and BCR-2 run amongst the samples gave values of 0.511369 ± 0.000003 (2SE) and 0.512629 ± 0.000003 (2SE), respectively, consistent with the reported reference values (0.511369 ± 0.000003 and 0.512634 ± 0.000012, respectively)62.

### High-pressure experiments

To explore the role of rutile in Mo isotope fractionation during subduction processes, we have performed a preliminary set of experiments. As crystallising rutile in an aqueous fluid is challenging, we have instead examined Mo isotope fractionation between rutile and wet andesitic melts. Starting compositions (see Supplementary Table 4) are based on the SKHDAN1 composition of ref. 63, doped with 467 µg g−1 Mo added as MoO3 powder. This was prepared by mixing dried oxide and carbonate powders with an agate pestle and mortar. Following decarbonation, the powder mixtures were homogenised by melting at 1400 °C for 12 h and then quenched and ground to a fine powder before this melting and quenching procedure was repeated.

Starting mixtures were loaded into Au80Pd20 capsules (3 mm outer diameter, ~7 mm length) after high purity water (182 kΩ m resistivity) was added to the capsule in an amount equivalent to ~ 5% by weight of the loaded starting mixture. Capsules were then sealed by welding. Loss of water was carefully monitored by comparing capsule weights before and after welding. Experiments were performed in a half-inch end-loaded piston cylinder at the University of Bristol using salt-pyrex assemblies with MgO fillers. Temperature was monitored with a C-type W-Re thermocouple. Experiments were performed at 1100–1200 °C and 2.0 GPa for 72 h prior to isobaric quenching by cutting the power.

Experimental evidence indicates that tetrahedrally coordinated Mo6+ in silicate liquids is stable at oxygen fugacities higher than approximately one log unit below the iron-wüstite oxygen buffer34,64,65,66. This oxygen fugacity is several orders of magnitude lower than relevant for our study. The ‘intrinsic ƒO2’ imposed by the assembly used in our experiments appears to be within one log unit of the Ni–NiO buffer (see ref. 67), which is about 4 orders of magnitude above the iron-wüstite buffer. As this is sufficiently removed from oxygen fugacity induced changes in Mo speciation, ƒO2 control was deemed not of primary concern here. We therefore applied no solid-state buffering system to control oxygen fugacity. Although Mo is generally a siderophile element, the high oxygen fugacity also limited loss of Mo to the Au80Pd20 capsule, as confirmed by a mass balance (see below).

The compositions of the quenched experiments were analysed by electron microprobe (Cameca SX-100) at the University of Bristol using synthetic and natural minerals and glasses as standards. Glass major element compositions were determined at 20 kV with a 4 nA beam and 10 µm spot size. These measurements were followed by analysis of Mo with a 1 µm diameter, 80 nA beam using three spectrometers to improve counting statistics. Subsequently, samples were crushed to a coarse powder (estimated grain size ~ 20 µm) and digested in pre-cleaned PFA beakers. Glass was preferentially dissolved by sonication in ~ 0.6 M HF at room temperature for ~1.5 h. After removing the supernatant, the remaining material was found to consist mostly of rutile grains (cf. Supplementary Fig. 2), which were digested in 28 M HF and a few drops of 15.5 M HNO3 on a hotplate (150 °C). Although this method of rutile-glass separation is remarkably successful, our isotope fractionation factor likely represents a minimum due to minor amounts of remaining glass in the rutile fraction. We note that our approach relies on rutile being insoluble in 0.6 M HF and so quantitatively retaining its budget of Mo. In this respect the experiments of Wilkinson68 provide a valuable reference. Wilkinson68 documented negligible dissolution of rutile using more extreme conditions of ~15 M HF at 100 °C for 24 h.

Our experiments showed that the stability of rutile as single liquidus phase occurred in a very narrow temperature window (between ~1150 °C and its liquidus at ~1200 °C), with titanite appearing at lower temperatures. We present the results of a single experiment at 1175 °C in which titanite appeared in minimal abundance except for the outermost, colder ends of the capsule (Supplementary Fig. 3). The experiment contained ~14% rutile by volume and Mo contents of 360 ± 29 µg g−1 and 472 ± 51 µg g−1 in rutile and 4.4 wt% water-bearing andesitic melt, respectively (see Supplementary Table 2). From these Mo contents and phase abundances, we obtain a reconstructed bulk Mo content of 456 ± 44 µg g−1. This concentration is indistinguishable from the Mo content of ~ 467 ± 67 µg g−1 in the starting glass as determined by microprobe analysis, implying that even if any Mo loss occurred to the Au80Pd20 capsule the Mo systematics of the sample-capsule system were buffered by the Mo-rich sample.

The Mo isotope compositions of rutile and glass from this experiment were analysed on replicates that were obtained by splitting the coarse powder obtained from the central, titanite-free area of the capsule (Supplementary Fig. 3). The δ98/95MoNIST 3134 of the rutile replicates were −0.28 ± 0.01‰ and −0.32 ± 0.01‰ (2 SD) and those of the glasses 0.02 ± 0.05‰ and 0.04 ± 0.01‰ (2 SD) (see Supplementary Table 2). On average, rutile has 0.33 ± 0.06‰ lower δ98/95MoNIST 3134 compared with wet andesitic glass, corresponding to Δ98/95Moandesite-rutile = 0.90 ± 0.17‰ at an appropriate temperature for this study of 600 °C, after applying a temperature correction assuming no isotopic fractionation at infinite temperature and an inverse square relationship of the isotopic difference with absolute temperature.

### Model

The Mo solubility in high-pressure (2.6 GPa) aqueous fluids is given by Bali et al.15 as the following equation:

$${\mathrm{Log[Mo]}} = {\mathrm{0}}{\mathrm{.44}} \times {\mathrm{Log[}}f{\mathrm{O}}_{\mathrm{2}}{\mathrm{]}} + {\mathrm{0}}{\mathrm{.42}} \times {\mathrm{[NaCl]}} - {\mathrm{1}}{\mathrm{.8}} \times \frac{{{\mathrm{1000}}}}{T} + {\mathrm{0}}{\mathrm{.48}}$$
(1)

where concentrations are in molalities, fO2 is oxygen fugacity and T is temperature in Kelvin. Bali et al.15 also presented Mo solubility in garnet, clinopyroxene and rutile at 2.6 GPa and 1000 °C. Together with the Mo solubility in fluid described above, fluid/mineral partitioning coefficients at 2.6 GPa and 1000 °C can therefore be determined, as presented by Bali et al.15 in their Table 4. However, Bali et al.15 did not investigate a temperature dependence for Mo solubility in the minerals, which hinders using Eq. (1) above to determine fluid/mineral partition coefficients at 600 °C, the temperature of interest in our study. As rutile is the dominant Mo host in the eclogites we studied, we have used the temperature dependence of Zr solubility in rutile25 as analogue for the temperature dependence of Mo solubility in rutile to extrapolate the rutile solubility data from Bali et al.15 at 1000 to 600 °C. The validity of this approximation is supported for our purposes by the observation that the temperature dependence of Zr-in-rutile is similar to the temperature dependence of Ti in quartz69 and Ti in zircon25.The parameters used to calculate the fluid/mineral partition coefficients are given in Supplementary Table 5. The depleted MORB-type eclogite is assumed to have a mineral assemblage of garnet/clinopyroxene = 30:70 containing 1.5% of rutile (see the text). Applying these mineral abundance ratios and partition coefficients, the compositions remaining in the rocks (cs) are calculated by Rayleigh distillation, given by the formula:

$$c_{\mathrm{s}} = c_{\mathrm{0}} \times \left( {{\mathrm{1}} - F} \right)^{\left( {\frac{{\mathrm{1}}}{D} - {\mathrm{1}}} \right)}$$
(2)

Where cs and c0 are the concentrations (weight fractions) of Mo and Ce in the remaining rock (i.e., residual eclogite) and initial, subducted ocean crust (i.e., fresh MORB), respectively. D is the bulk rock/fluid partition coefficient for the residual eclogite assemblages and F is the proportion of fluid removed/flushed as mass fraction of the bulk rock. The mass fraction of Mo remaining in the rock is fs:

$$f_{\mathrm{s}} = \left( {{\mathrm{1}} - F} \right) \times c_{\mathrm{s}}/c_{\mathrm{0}}$$
(3)

The δ98/95Mo in the remaining rock is calculated using an approximate form of the Rayleigh distillation equation:

$${\mathrm{\delta }}^{{\mathrm{98/95}}}{\mathrm{Mo}}_{\mathrm{s}} = {\mathrm{\delta }}^{{\mathrm{98/95}}}{\mathrm{Mo}}_{\mathrm{0}} + \left( {{\mathrm{\alpha }} - {\mathrm{1}}} \right) \times {\mathrm{lnf}}_{\mathrm{s}}$$
(4)

where δ98/95Mos and δ98/95Mo0 are the δ98/95MoNIST 3134 of residual eclogite and initial subducted ocean crust, respectively, and α is the Mo isotope fractionation factor between fluid and bulk eclogite.