The Solubility of Tugarinovite (Mo[O.sub.2]) in [H.sub.2]O at Elevated Temperatures and Pressures.
Metal solubility data over a wide range of temperatures and pressures are fundamental for a quantitative modelling of the metal transport by hydrothermal fluids in the Earth crust and in various industrial processes. Molybdenum in magmatic ore deposits is transported and deposited by high temperature aqueous fluids exsolved from a cooling magma. Although the solubility of Mo[O.sub.3] (molybdite) has been experimentally investigated over a wide range of P-T-X conditions by many workers [1-7], comparatively few studies have examined the solubility of Mo[O.sub.2] (tugarinovite) [8-10]. In the absence of sulfur, Mo[O.sub.2], rather than Mo[O.sub.3], would be the stable oxide at the temperatures and [fo.sub.2] conditions typical for Mo ore formation [4,7, 11, 12].
The addition of molybdenum as an alloying element increases the tensile strength and chemical durability of steel used in jet engines, gas turbines, and power generation reactors [13, 14]. Molybdenum-bearing high strength steel alloys are among the candidate materials considered for use in the construction of the next generation of supercritical-water-cooled reactors (SCWR) [15, 16]. For example, the Generation-IV SCWR, which is designed to function at temperatures up to 625[degrees]C and pressures ranging from 25 to 30 MPa , is one of the six reactor design concepts developed to meet the need for an energy efficient advanced reactor . An important challenge in the design and successful deployment of a SCWR is controlling water chemistry under conditions of high temperature and pressure [15, 18-21]. Hence, knowledge of the solubility of metal oxides produced at the steel-supercritical water interface is important for predicting corrosion and corrosion product transport within the reactor.
To this end, we present in situ synchrotron X-ray fluorescence (SXRF) analyses of supercritical aqueous fluids in equilibrium with synthetic Mo[O.sub.2] in a modified Bassett-type hydrothermal diamond anvil cell (for design details of a Bassett-type HDAC see ). In situ analysis of the fluid at high temperature and pressure was employed in order to circumvent errors inherent in ex situ methods [23-26]. Our results complement the data of Kudrin  by providing solubility measurements at pressures and temperatures comparable to intrusion-related Mo ore formation and at the anticipated operating temperature conditions of supercritical-water-cooled reactors.
2. Previous Studies on Molybdenum Oxide Solubility
Natural molybdenum oxides include molybdite (Mo[O.sub.3]) and tugarinovite (Mo[O.sub.2]). Most solubility studies have been conducted on Mo[O.sub.3]. Ivanova et al.  performed dissolution experiments in Ti-autoclaves at vapour saturation pressures at temperatures between 150 and 300[degrees]C. The aqueous solutions, which were analyzed colorimetrically after quenching to room temperature, contained between 770 and 1390 ppm Mo. Gong et al.  used cold-seal pressure vessels to measure the solubility of Mo[O.sub.3] at 417[degrees]C at pressures between 29 and 150 MPa. They showed that, at the studied P-T conditions, the solution contained 3200 ppm Mo. In both of these studies, however, neither pH nor oxygen fugacity were constrained.
Ulrich and Mavrogenes  trapped solutions equilibrated with Mo[O.sub.3] in synthetic quartz-hosted fluid inclusions at pressures of 200 MPa and temperatures ranging between 500 and 800[degrees]C. The pH was buffered using a muscovite, K-feldspar, and quartz assemblage and the oxygen fugacity was constrained using a Ni/NiO or Re/Re[O.sub.2] buffer. Analysis of the synthetic fluid inclusions by laser ablation inductively coupled plasma mass spectrometry (LA-ICP-MS) shows that the molybdenum concentration in pure [H.sub.2]O increased with increasing temperature from 380 to 8155 ppm. X-ray absorption near-edge structure (XANES) spectra obtained from synthetic fluid inclusions at the temperature of liquid-vapour homogenization suggest that the dominant Mo species is [H.sub.2]Mo[O.sub.4].
Meredith et al.  used synchrotron X-ray fluorescence to measure the solubility of Mo[O.sub.3] in oxygenated water in a hydrothermal diamond anvil cell. The concentration of Mo in solution ranged from 3995 [+ or -] 13 ppm at 400[degrees]C and 44 MPa to 8663 [+ or -] 59 ppm at 500[degrees]C and 113 MPa.
Dadze et al.  determined the solubility of crystalline Mo[O.sub.3] in aqueous solutions of HCl[O.sub.4] at 300[degrees]C and 10 MPa. They suggested that the acidity of the solution was a determining factor controlling the solubility of molybdenum trioxide under hydrothermal conditions and assumed that monomeric forms [H.sub.2]Mo[O.sub.4.sup.0], HMo[O.sub.4.sup.-], and Mo[O.sub.4.sup.2-] are produced by the dissolution of Mo[O.sub.3]. Rempel et al.  studied the solubility of molybdenum trioxide in water vapour at 300, 320, and 360[degrees]C and 3.9-15.4 MPa. They reported Mo concentrations of 17.9, 23.5, and 28.7 ppm at 300, 320, and 360[degrees]C, respectively, and concluded that the predominant species is a monomeric hydrated complex of the form Mo[O.sub.3] * [nH.sub.2]O(g). Hurtig and Williams-Jones  measured the solubility of Mo[O.sub.3] in HCl-bearing water vapour and vapour-like aqueous fluids having a density between 0.005 and 0.343 g/[cm.sup.3] at temperatures between 300 and 500[degrees]C and 1.3-42.5 MPa. They suggested that, at 400[degrees]C and 20 MPa, the major molybdenum-bearing species in the low density aqueous solutions is Mo[O.sub.3][([H.sub.2]O).sub.8]. They also noted that the hydration number of the dominant species decreases as the temperature increases. The concentration of molybdenum in the quenched experimental condensates ranged from 3 to 481 ppm. Titanium autoclaves were used in the experiments by Rempel et al. (2006); Dadze et al. (2014) and Hurtig and Williams-Jones (2014). Figure 1 shows Mo[O.sub.3] solubility as a function of temperature reported in previous studies.
Comparatively few data are available on the solubility of Mo[O.sub.2] [8-10]. This is due to problems of measuring the solubility of sparingly soluble minerals under conditions of extreme temperature and pressure. Kudrin  determined the solubility of tugarinovite (Mo[O.sub.2]) in water and aqueous solutions of HCl, NaOH, and KOH at temperatures between 250 and 450[degrees]C and at pressures between 9 MPa and 100 MPa. He showed that the concentration of Mo in pure water increases with increasing temperature from 0.01 ppm at 300[degrees]C to 25 ppm at 450[degrees]C. The experiments were conducted using titanium autoclaves while the redox conditions were controlled using Ni-NiO, Cu-[Cu.sub.2]O, or [Fe.sub.3][O.sub.4]- [Fe.sub.2][O.sub.3] buffers. Kudrin suggested that various Mo (VI) hydroxy complexes are the predominant species of molybdenum in the solution. Cao  studied Mo[O.sub.2] solubility in NaCl solution from 300 to 450[degrees] C using a chrome lined vessel and the solubility ranges from 5 to 315 ppm. He showed that, in these solutions, both Mo (V) and Mo (VI) can exist stably at high temperatures in the form of HMo[O.sub.4.sup.-], NaHMo[O.sub.4.sup.0], and [Na.sub.2]Mo[O.sub.4.sup.2].
3. Experimental Procedures
3.1. Synthesis and Characterization of Starting Materials. Crystals of synthetic Mo[O.sub.2] were grown by chemical transport using Te[Cl.sub.4] as a transport agent at the Institute of Physics, Augsburg University, Germany [27, 28]. X-ray powder diffraction data collected from the starting material using CuK[alpha] radiation is compared to tugarinovite  in Table 1.
Raman spectra of the starting material, obtained using a Horiba Jobin-Yvon LabRam HR confocal instrument equipped with a 100 mW 532 nm Nd-YAG diode laser (Toptica Photonics) and a Synapse charge-coupled device (CCD; Horiba Jobin-Yvon) detector at St. Mary's University, Halifax, are shown in Figure 2. Frequency calibration was performed using a pure silica standard (521 [cm.sup.-1]). Each Raman spectrum represents an average of two accumulations with 20-second acquisition times at 100% laser power. Raman shifts for synthetic material are in close agreement with previously published Raman spectra obtained from Mo[O.sub.2] [11, 12,30-32].
3.2. Hydrothermal Diamond Anvil Cell. A Bassett-type hydrothermal diamond anvil cell (HDAC) was modified so that an aqueous fluid in equilibrium with Mo[O.sub.2] could be separately analyzed by microbeam synchrotron X-ray fluorescence. The sample chamber consisted of a cylindrical-shaped laser-milled recess in the culet face of the upper diamond anvil and the hole in a rhenium gasket that was pressed between the two diamond anvils (Figure 3). Optical profilometer measurements indicated that the recess in the diamond is 300 [micro]m in diameter and 37 [micro]m deep (Figure 4), and the hole in the rhenium gasket is 125 [micro]m deep and 400 [micro]m in diameter.
The diamond anvils were fitted into silicon nitride seats located at the center of two opposing stainless steel platens. The platens were then drawn together along three guide posts using tightening screws. Each silicon nitride seat was heated using platinum resistance wire while the temperature of the system was monitored using S-type (Platinum-Rhodium) thermocouples (Omega[TM]) and controlled with a programmable temperature controller. The temperature of sample chamber was calibrated by observing the melting point of NaN[O.sub.3] (308[degrees]C), the alpha-beta phase transition of quartz (573[degrees]C), and the melting point of NaCl (801[degrees]C). The water density was determined from the observed liquid-vapour homogenization temperature and the pressure at a given temperature was calculated using the equation of state (EOS) of water [33-35]. The EOS of pure water is a good estimate of pressure because of the very low Mo concentration in the fluid at all temperatures and pressures measured.
The Mo[O.sub.2] crystal resides on the culet face of the lower diamond anvil and within the Re gasket (Figure 3(a)). A horizontal X-ray microbeam passes through the fluid-filled recess in the diamond anvil above the Re gasket. This configuration ensures that the incident X-ray beam does not interact with the Mo[O.sub.2] crystal and that the detector is shielded from possible excitation of the crystal by scattered X-rays. Figure 3(b) is a photograph of the sample chamber as viewed through the diamond anvils showing the vapour bubble, the opaque Mo[O.sub.2] crystal fragment in [H.sub.2]O, and the path of the X-ray beam through the sample chamber.
The HDAC was purged with argon gas in order to prevent oxidation at high temperatures. Kapton film windows on the wall of the HDAC allowed for transmission of the incident beam and the exit of fluorescence X-rays from the sample to the detector.
The redox conditions of the system at various temperatures were buffered by the reaction Re + [O.sub.2] [right and left arrow] Re[O.sub.2] [36-39]. The appearance of rhenium oxide on the gasket surface indicates that partial oxidation of the Re metal gasket occurred in these experiments (Figure 5).
3.3. Synchrotron X-Ray Fluorescence Analysis. Synchrotron X-ray fluorescence (SXRF) spectra were collected using the X-ray microprobe at beamline 20-ID at the Advanced Photon Source (APS), Argonne National Laboratory. X-ray fluorescence spectra were collected using a four-element Vortex detector positioned horizontally at 90[degrees] to the incident X-ray beam. The energy of the incident X-rays was 23.2 keV and the beam flux was 1 x [10.sup.11] photons/second. The precise positioning of the X-ray beam through the sample chamber was facilitated by the visible fluorescence of the beam in the diamond anvil (Figure 3(b)).
Standard solutions having Mo concentrations of 10, 50, 100,500, 1000, and 2500 ppm were used to derive a calibration curve. The solutions were prepared by diluting 10000 ppm (GFS Chemical) or 1000 ppm (Fluka Analytical) stock solutions with deionized water. An average of seven spectra was collected from each standard solution in the HDAC. The integration time for each spectrum was 60 s. PyMCA spectral analysis software  was used to analyze all SXRF spectra.
Table 2 gives the measured Mo concentrations for the standard solutions and Figure 6 shows the calibration curve determined by linear regression of the standard solution data .
3.4. Experimental Method. Deionized water, a small fragment of synthetic Mo[O.sub.2], and an air bubble were sealed in the sample chamber in the HDAC (Figure 7(a)). The gasket was conditioned by repeated heating and cooling until the observed liquid-vapour homogenization temperature ([T.sub.H]) was constant.
Spectra were collected from the fluid in 30-minute intervals for up to 4 hours. The HDAC was held at 400, 500, 600, 700, and 800[degrees]C for at least 30 minutes before the first spectrum was collected.
It was noted during trial runs that prolonged exposure to the X-ray beam at high temperatures resulted in the precipitation of a Mo-rich solid from the fluid at some point along the beam path (Figure 7(b)). In order to eliminate this effect, spectrum acquisition was limited to 60 s intervals.
Two-dimensional Mo K[alpha] elemental maps of the sample chamber were made at each pressure and temperature condition to correct for any changes in the position of the HDAC due to thermal expansion and to make sure that no Mo-bearing solids, formed by beam-induced radiolysis, were present.
4. Data Treatment and Results
The density of the fluid (684 kg/[m.sup.3]) was calculated from the observed liquid-vapour homogenization temperature (313[degrees] C). Table 3 gives the pressure and temperature condition for each SXRF measurement.
The concentration of dissolved Mo in the fluid at each temperature and pressure condition was determined using the linear regression parameters of the calibration curve (Table 3). Examples of SXRF spectra obtained for three different molybdenum standards are shown in Figure 8. The uncertainty of the measured concentration was calculated using
[mathematical expression not reproducible] (1)
where [S.sub.x] is the uncertainty in x, [absolute value of (m)] is the absolute value of the slope, [S.sub.y] is the standard deviation of the measured values of y, b is the intercept value, [S.sub.b] is the intercept error or the estimate of standard deviation of the intercept, [S.sub.m] is the slope error or the estimate of standard deviation of the slope, [bar.x] is the arithmetic mean of used standard concentrations, and k is the number of replicate measurements of the unknown .
A minimum detection limit (MDL) of 0.5 to 3.0 ppm Mo was calculated from 3c [square root of ([I.sub.b])]/[I.sub.p], where c is the standard concentration, [I.sub.b] is the background intensity, and [I.sub.p] is the peak intensity [42, 43].
Kudrin  examined the dissolution kinetics for Mo[O.sub.2] in pure water and showed that equilibrium was attained after about 2 hours at 450[degrees]C and log f[O.sub.2] = -25.1. The HDAC in our study was held between 2 and 4 hours prior to SXRF analysis. Figure 9 shows that at 700[degrees] C the Mo concentration varies from 70 [+ or -] 26 ppm in the first 2 hours and increases to 117+27 ppm after four hours. At 800[degrees]C, the Mo concentration is 686 ([+ or -]43) ppm after 2.5 hours.
Previous studies have shown that the molybdenum oxide solubility is effected to different degrees by solution composition, temperature, pressure, pH, and oxygen fugacity. Our analyses show that there is an exponential increase in solubility at temperatures above 500[degrees]C (Figure 10) which indicates that pure water could transport significant concentrations of Mo at magmatic temperatures.
Ulrich and Mavrogenes  presented solubility data for molybdenum in [H.sub.2]O at temperatures between 500 and 800[degrees]C. In all of their experiments Mo[O.sub.3] was reduced to Mo[O.sub.2] and Mo was oxidized to Mo[O.sub.2]. The presence of a small opaque phase, interpreted to be Mo[O.sub.2], present in some of their synthetic fluid inclusions indicates that Mo[O.sub.2] precipitated from the solution at high temperatures prior to microcrack healing. If equilibrium was attained before fluid entrapment, then the concentration of Mo in that fluid should reflect the solubility of Mo[O.sub.2]. However, the solubility reported by Ulrich and Mavrogenes (2008) at 800[degrees]C and 200 MPa (i.e., 0.8 wt%) is more than an order of magnitude higher than the solubility reported in the present study. This discrepancy may be due in part to differences in the pressure conditions used in the different experiments or because the synthetic inclusions represent samples of fluid that equilibrated with the highly soluble Mo[O.sub.3] used as starting material in the experiments of Ulrich and Mavrogenes (2008). The reduction of the fluid at high temperatures may have resulted in the precipitation of Mo[O.sub.2] during closure and necking of the fluid-filled microcracks in quartz.
5.1. Molybdenum in Intrusion-Related Hydrothermal Systems. Many ore deposits of molybdenum form in high temperature intrusion-related hydrothermal systems. Fluid inclusion studies suggest that Mo deposition usually occurs at temperatures between 450 and about 700[degrees]C and pressures between 100 and 170 MPa [44-51]. Furthermore, Mo is thought to be transported by low to intermediate density, supercritical aqueous fluids [52-56] as mononuclear hydroxy complexes [57-61]. Although Mo is usually transported in the hexavalent state it is also transported in a lower valence state ([sup.+]4) under more reducing conditions [8, 62].
The temperature-redox conditions for porphyry Mo deposits are shown in Figure 11 [63,64]. At these ore-forming conditions, Mo[O.sub.2] rather than Mo[O.sub.3] is the stable oxide [4, 7, 11, 12]. Fluid inclusion studies of porphyry Mo deposits indicate that low salinity fluids play an important role in Mo transport [65-70]. Candela and Holland  concluded that in magmatic systems Mo partitioning is independent of the chlorine content of magmas and associated aqueous phases. Zajacz et al.  studied the effect of fluid chlorinity as a parameter on fluid/melt partitioning. They distinguished a group of elements (As, Mo, Cu, Sb, Bi, and B) displaying a distinct negative correlation with the chlorinity of the fluid, which suggests transport as non-chloride (i.e., hydroxy) complexes. Of these elements, Mo, As, Sb, and B are known to occur as hydroxy complexes in hydrothermal fluids [71-74]. Fluorine is not an important ligand involved in the hydrothermal transport of Mo in granite-related systems [58, 61, 75]. Some studies have demonstrated the importance of chloride complexing for Mo partitioning [4, 76]. Ulrich and Mavrogenes (2008) suggested a correlation between the solubility of Mo oxides and the chloride content in the fluid. Tattitch and Blundy (2017) have shown that fluid-melt Mo partition coefficient increases with the increasing salinity and a mono-chloride complex controls Mo partitioning. The results presented here may explain why low salinity fluid inclusions prevail in some Mo ore deposits. The presence of sulfur in such systems would result in the precipitation of molybdenite [10, 77-79].
5.2. Relevance of Mo[O.sub.2] Solubility to Supercritical-Water-Cooled Reactor (SCWR). As discussed above, Generation-IV SCWR is designed to function at temperatures up to 625[degrees] C and at pressures ranging from 25 to 30 MPa. The successful deployment and long term operation of these SCWR depends on the durability of the materials in the presence of water under conditions of extreme temperature, pressure, and radiation [15, 18-20]. Mo-bearing alloys are among the candidate materials considered in the construction of SCWR. Previous experiments have shown that a significant amount of Mo from the walls of Hastelloy C and Alloy 625 autoclaves may be dissolved in pure water at 450[degrees]C after 280 hours . Molybdenum oxides may form in the passivation layer of steel alloys [80-87] and dissolution of these oxides could result in contamination and degradation of the reactor performance by creating thermal barriers on heat transfer surfaces.
The next generation of supercritical water reactors are expected to operate at even higher pressures and temperatures . The data shown in this study indicate that partially dissolution of a Mo-bearing passivation layer in a SCWR may affect water chemistry and the efficiency of the reactor. This example underscores the need to compile a more comprehensive oxide solubility database that can be used to predict supercritical water chemistry. To achieve this goal, we recommend that in situ SXRF solubility measurements be employed to experimentally evaluate the durability of candidate alloys under conditions of extreme temperature and pressure.
In situ synchrotron X-ray fluorescence analysis of aqueous fluids in a modified hydrothermal diamond anvil cell was used to determine the solubility of synthetic Mo[O.sub.2] in pure water up to 800[degrees]C and 480 MPa. The results show an exponential increase in solubility at temperatures above 600[degrees]C to a maximum concentration of 658 [+ or -] 43 ppm Mo at 800[degrees]C and 480 MPa. The results on the Mo[O.sub.2]-[H.sub.2]O system provide insights into Mo transport in pure water and in low salinity, high temperature aqueous solutions involved in ore-forming systems. The data are also relevant to understanding Mo transport in supercritical-water-cooled reactors and demonstrate the potential of in situ SXRF for further solubility studies of sparingly soluble oxide minerals under conditions of extreme temperature and pressure.
Conflicts of Interest
The authors declare that there are no conflicts of interest regarding the publication of this article.
This research used resources of the Advanced Photon Source (APS), an Office of Science User Facility operated for the US Department of Energy (DOE) Office of Science by Argonne National Laboratory, and was supported by the US DOE under Contract no. DE-AC02-06CH11357 and the Canadian Light Source and its funding partners. The authors thank Dr. Steve Heald for his assistance with our experiment at sector 20 of the APS. We acknowledge support from the GEN-IV program. Funding to the Canada Gen-IV National Program was provided by Natural Resources Canada through the Office of Energy Research and Development, Atomic Energy of Canada Limited, and Natural Sciences and Engineering Research Council of Canada. Pritam Saha acknowledges the receipt of support from the CLS Graduate and Post-Doctoral Student Travel Support Program and Nova Scotia Graduate Scholarship.
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Pritam Saha, (1) Alan J. Anderson, (1) Thomas Lee, (1) and Matthias Klemm (2)
(1) Department of Earth Sciences, St. Francis Xavier University, Antigonish, NS, Canada B2G 2W5
(2) Experimentalphysik II, Institut fur Physik, Universitat Augsburg, 86135 Augsburg, Germany
Correspondence should be addressed to Pritam Saha; email@example.com
Received 12 September 2017; Accepted 21 November 2017; Published 18 December 2017
Academic Editor: Andri Stefansson
Caption: Figure 1: Mo[O.sub.3] solubility versus temperature from previous studies. Pressures reported are 44-113 MPa (Meredith et al. 2011), 200 MPa (Ulrich and Mavrogenes 2008), 29-150 MPa (Gong et al. 2005), 1.3-42.5 MPa (Hurtig and Williams-Jones 2014), and 3.9-15.4 MPa (Rempel et al. 2006). Red symbols designate Mo[O.sub.3] solubility in pure water.
Caption: Figure 2: Raman spectrum of synthetic Mo[O.sub.2] used as starting material.
Caption: Figure 3: (a) The schematic diagram of the modified hydrothermal diamond anvil cell. The upper diamond anvil was recessed and the X-ray beam went through the recess. A rhenium gasket was squeezed by two diamond anvils together. A 10x objective microscope was placed on top of the HDAC to view the sample chamber in real time. (b) shows the sample chamber at room temperature. The Mo[O.sub.2] sample, vapour bubble, and the recess of the upper diamond are visible. The sample chamber is surrounded by the rhenium gasket. The X-ray beam path (blue line) is also visible.
Caption: Figure 5: SEM image of Re[O.sub.2] crystals on the rhenium gasket surface after following the experiment.
Caption: Figure 7: View of the sample chamber in the HDAC at 23[degrees]C (a) and 600[degrees]C (b). Note the presence of a vapour bubble at room temperature and a small opaque phase (red arrow) in the center of sample chamber at 600[degrees]C.
Caption: Figure 8: X-ray fluorescence spectra obtained from Mo standards (a) 10 ppm, (b) 500 ppm, and (c) 2500 ppm.
Caption: Figure 9: Variation of Mo concentration determined from XRF spectra collected at different time intervals at (a) 700[degrees]C and (b) 800[degrees]C.
Caption: Figure 10: Solubility Mo[O.sub.2] solubility in pure water as a function of temperature. The pressure condition for each measurement is shown on each plot.
Caption: Figure 11: Temperature and f[O.sub.2] conditions for porphyry Mo deposits (modified after Ishihara et al. 2006). Re-Re[O.sub.2] buffer curve is shown.
Table 1: X-ray diffraction data for synthetic Mo[O.sub.2] crystals used as starting material and tugarinovite (Mo[O.sub.2]). Synthetic Mo[O.sub.2] starting material Pos. [[degrees]2 [theta]] d ([Angstrom]) Intensity h k 18.3801 4.827 2.05 [bar.1] 0 25.9998 3.427 100 [bar.1] 1 31.9055 2.805 0.84 1 0 36.7193 2.447 7.93 2 0 1 1 36.9918 2.430 18.92 [bar.2] 1 37.3586 2.407 12.09 [bar.2] 0 41.3568 2.183 1.67 2 1 0 2 41.8854 2.157 2.53 [bar.2] 1 49.5028 1.841 2.97 [bar.3] 0 53.0658 1.726 11.45 2 1 Synthetic Mo[O.sub.2] starting material Tugarinovite Pos. (JCPDS: file number 32-671) [[degrees]2 [theta]] l d ([Angstrom]) Intensity 18.3801 1 4.805 2 25.9998 1 3.420 100 31.9055 1 2.813 4 36.7193 0 2.442 30 1 2.437 30 36.9918 1 2.426 70 37.3586 2 2.403 35 41.3568 0 2.181 6 1 2.171 2 41.8854 2 2.156 5 49.5028 1 1.841 11 53.0658 1 1.725 30 Table 2: Measured Mo concentrations in standard solutions. Measured Standard concentration (ppm) (ppm) 10 31 50 75 100 141 500 543 1000 977 2500 2500 Table 3: The measured concentration of Mo in solution at different temperatures and pressures. Temperature Pressure Concentration ([degrees]C) (MPa) (ppm) 400 95 bdl * 500 193 bdl * 600 292 44 ([+ or -]26) 700 387 67([+ or -]26) 700 387 117 ([+ or -]26) 800 479 658 ([+ or -]43) * bdl: below detection limit. Figure 4: 3D profile of the culet face of the recessed diamond anvil. Inset shows the depth and volume of the recess. This 3D profile was prepared using an optical profilometer. Depth and volume of the recess Max depth ([micro]m) 46.41 Min depth ([micro]m) 30.32 Average depth ([micro]m) 37.19 Natural volume ([cm.sup.3]) [2.29E10.sup.-06] Figure 6: Calibration curve derived from measured Mo concentrations in standard solution. Parameter Value Error m (slope) 0.98488 0.01082 b (y-intercept) 28.27508 12.10604 R (correlation coefficient) 0.99976 SD (standard deviation) 23.27528 N(number of data points) 6
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|Title Annotation:||Research Article|
|Author:||Saha, Pritam; Anderson, Alan J.; Lee, Thomas; Klemm, Matthias|
|Date:||Jan 1, 2018|
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