Pub Date : 2024-05-23DOI: 10.1134/S0016702924700241
Yu. A. Kostitsyn, N. A. Krivolutskaya, A. V. Somsikova, M. O. Anosova, I. V. Kubrakova, N. D. Tolstykh, B. I. Gongalsky, I. A. Kuzmin
The problem of identifying scarce PGE–Cu–Ni-bearing intrusions among the huge array of barren mafic bodies in the northwestern Siberian Platform has been faced by researchers for several decades. Its solution is usually based on the geological and geophysical methods. Geochemical studies including modern elemental and isotopic analytical data are much less frequently applied for this purpose. We applied such an approach to some Norilsk complex bodies containing sulfide mineralization. Using the Maslovsky deposit located in the Norilsk syncline as an example, we have demonstrated the characteristic features of ore-bearing rocks that can be used in the search for new promising targets. The rocks of the Maslovsky deposit were studied in two sections from boreholes OM-4 and OM-24. Their geochemical parameters fall within the ranges of εNd = 1.0 ± 1.0 and (La/Lu)n = 2.3 ± 0.8, which differ the magmatic bodies of the Norilsk district with unique sulfide ores from barren massifs. The 87Sr/86Sr ratios in the representative gabbroic rocks from the vertical cross-sections of the Maslovsky deposit vary from 0.7056 to 0.7069. As PGEs are accumulated in the rocks, the Pd/Pt ratio increases from ~1 at clarke contents to ~3 in rich ores. No evidence of in situ assimilation by melts of silicate rocks was found.
{"title":"Geochemical Markers of the Norilsk Ore-Bearing Intrusions: Case Study of the Maslovsky Deposit","authors":"Yu. A. Kostitsyn, N. A. Krivolutskaya, A. V. Somsikova, M. O. Anosova, I. V. Kubrakova, N. D. Tolstykh, B. I. Gongalsky, I. A. Kuzmin","doi":"10.1134/S0016702924700241","DOIUrl":"10.1134/S0016702924700241","url":null,"abstract":"<p>The problem of identifying scarce PGE–Cu–Ni-bearing intrusions among the huge array of barren mafic bodies in the northwestern Siberian Platform has been faced by researchers for several decades. Its solution is usually based on the geological and geophysical methods. Geochemical studies including modern elemental and isotopic analytical data are much less frequently applied for this purpose. We applied such an approach to some Norilsk complex bodies containing sulfide mineralization. Using the Maslovsky deposit located in the Norilsk syncline as an example, we have demonstrated the characteristic features of ore-bearing rocks that can be used in the search for new promising targets. The rocks of the Maslovsky deposit were studied in two sections from boreholes OM-4 and OM-24. Their geochemical parameters fall within the ranges of ε<sub>Nd</sub> = 1.0 ± 1.0 and (La/Lu)<sub><i>n</i></sub> = 2.3 ± 0.8, which differ the magmatic bodies of the Norilsk district with unique sulfide ores from barren massifs. The <sup>87</sup>Sr/<sup>86</sup>Sr ratios in the representative gabbroic rocks from the vertical cross-sections of the Maslovsky deposit vary from 0.7056 to 0.7069. As PGEs are accumulated in the rocks, the Pd/Pt ratio increases from ~1 at clarke contents to ~3 in rich ores. No evidence of in situ assimilation by melts of silicate rocks was found.</p>","PeriodicalId":12781,"journal":{"name":"Geochemistry International","volume":"62 5","pages":"447 - 465"},"PeriodicalIF":0.7,"publicationDate":"2024-05-23","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"141141099","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1134/S0016702923700179
M. I. Vasilevich, N. S. Smirnov
The layer-by-layer analysis of the variation dynamics of chemical parameters of snow at one of the observation sites (at the village of Yaksha) in the Pechora–Ilych state biosphere reserve in the winter of 2019–2020 has shown that the chemical composition of atmospheric precipitation is affected dominantly by long-range material transport. Features of the atmospheric circulation and the regions from which air masses are transferred control the saturation of the precipitation with certain chemical components. The calculation of the trajectories of reverse transport of air masses allowed us to identify regions where the air masses can be formed that come to the study area and carry material that potentially affects the chemical composition of the precipitation. The calculation of trajectories is demonstrated to make it possible to identify source regions of pollutants entering the atmosphere. This method of studying the chemical composition of snow is generally very informative and enables better understanding its formation factors.
{"title":"Effect of Atmospheric Circulation on the Seasonal Dynamics of the Chemical Composition of the Snow Cover in the Pechora–Ilych Reserve","authors":"M. I. Vasilevich, N. S. Smirnov","doi":"10.1134/S0016702923700179","DOIUrl":"10.1134/S0016702923700179","url":null,"abstract":"<p>The layer-by-layer analysis of the variation dynamics of chemical parameters of snow at one of the observation sites (at the village of Yaksha) in the Pechora–Ilych state biosphere reserve in the winter of 2019–2020 has shown that the chemical composition of atmospheric precipitation is affected dominantly by long-range material transport. Features of the atmospheric circulation and the regions from which air masses are transferred control the saturation of the precipitation with certain chemical components. The calculation of the trajectories of reverse transport of air masses allowed us to identify regions where the air masses can be formed that come to the study area and carry material that potentially affects the chemical composition of the precipitation. The calculation of trajectories is demonstrated to make it possible to identify source regions of pollutants entering the atmosphere. This method of studying the chemical composition of snow is generally very informative and enables better understanding its formation factors.</p>","PeriodicalId":12781,"journal":{"name":"Geochemistry International","volume":"62 4","pages":"434 - 445"},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140929358","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1134/S0016702923700131
E. S. Persikov, P. G. Bukhtiyarov, O. Y. Shaposhnikova, L. Ya. Aranovich, A. N. Nekrasov
Important problems of magma differentiation, formation of native metals, and ore-forming processes in the Earth’s crust are often related to participation of hydrogen. In this paper, new experimental data on the crystallization of andesite melts at high temperatures (900–1250°C) and hydrogen pressures (10–100 MPa) have been obtained, which clarify the possible role of hydrogen in the processes occurring in andesite melts in the Earth’s crust and during volcanism under strongly reduced conditions ((f{text{O}}_{2}) = 10–17–10–18). In the crystallization experiments, it was found out that the compositions of the crystals (pyroxenes and plagioclases) formed in experiments on crystallization of andesite melt under hydrogen pressure closely correspond to the crystal compositions of lava flows of Avacha volcano in Kamchatka. This result can be considered as an experimental confirmation of the participation of hydrogen in the volcanic process.
{"title":"Andesite Melt Crystallization under Moderate Hydrogen Pressures: An Experimental Study","authors":"E. S. Persikov, P. G. Bukhtiyarov, O. Y. Shaposhnikova, L. Ya. Aranovich, A. N. Nekrasov","doi":"10.1134/S0016702923700131","DOIUrl":"10.1134/S0016702923700131","url":null,"abstract":"<p>Important problems of magma differentiation, formation of native metals, and ore-forming processes in the Earth’s crust are often related to participation of hydrogen. In this paper, new experimental data on the crystallization of andesite melts at high temperatures (900–1250°C) and hydrogen pressures (10–100 MPa) have been obtained, which clarify the possible role of hydrogen in the processes occurring in andesite melts in the Earth’s crust and during volcanism under strongly reduced conditions (<span>(f{text{O}}_{2})</span> = 10<sup>–17</sup>–10<sup>–18</sup>). In the crystallization experiments, it was found out that the compositions of the crystals (pyroxenes and plagioclases) formed in experiments on crystallization of andesite melt under hydrogen pressure closely correspond to the crystal compositions of lava flows of Avacha volcano in Kamchatka. This result can be considered as an experimental confirmation of the participation of hydrogen in the volcanic process.</p>","PeriodicalId":12781,"journal":{"name":"Geochemistry International","volume":"62 4","pages":"366 - 371"},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140937939","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1134/S001670292370012X
E. V. Limanov, V. G. Butvina, O. G. Safonov, A. V. Spivak, K. V. Van, S. S. Vorobey
The paper presents data on the formation of K–Na richterite in the enstatite + diopside association with K2CO3–Na2CO3–CO2–H2O fluid at 3 GPa and 1000°C as a model for the formation of this mineral in peridotites of the upper mantle. Richterite formation depends on the (H2O + CO2)/(K2CO3 + Na2CO3) and K2CO3/Na2CO3 ratios in the starting material. A high concentration of alkaline components in the fluid leads to the decomposition of clinopyroxene, the formation of olivine, and a change in the component composition of the pyroxene and amphibole. Fluids with a high potassium concentration are favorable for the formation of K-richterite similar in composition to that formed in metasomatized peridotites of the upper mantle. In some cases, such a fluid leads to the decomposition of amphibole and stabilization of alkaline melt. An increase in the activity of the sodium component results in richterite similar in composition to richterite from lamproites. The clarified relations can be used to assess the activities of fluid components and conditions for the formation of K-richterite. To update the data bank of the Raman spectra of minerals, the largest and most homogeneous amphibole crystals of different compositions were studied.
{"title":"Formation of Richterite in the Enstatite–Diopside System in the Presence of K2CO3–Na2CO3–CO2–H2O Fluid: Implications for the Processes of Mantle Metasomatism","authors":"E. V. Limanov, V. G. Butvina, O. G. Safonov, A. V. Spivak, K. V. Van, S. S. Vorobey","doi":"10.1134/S001670292370012X","DOIUrl":"10.1134/S001670292370012X","url":null,"abstract":"<p>The paper presents data on the formation of K–Na richterite in the enstatite + diopside association with K<sub>2</sub>CO<sub>3</sub>–Na<sub>2</sub>CO<sub>3</sub>–CO<sub>2</sub>–H<sub>2</sub>O fluid at 3 GPa and 1000°C as a model for the formation of this mineral in peridotites of the upper mantle. Richterite formation depends on the (H<sub>2</sub>O + CO<sub>2</sub>)/(K<sub>2</sub>CO<sub>3</sub> + Na<sub>2</sub>CO<sub>3</sub>) and K<sub>2</sub>CO<sub>3</sub>/Na<sub>2</sub>CO<sub>3</sub> ratios in the starting material. A high concentration of alkaline components in the fluid leads to the decomposition of clinopyroxene, the formation of olivine, and a change in the component composition of the pyroxene and amphibole. Fluids with a high potassium concentration are favorable for the formation of K-richterite similar in composition to that formed in metasomatized peridotites of the upper mantle. In some cases, such a fluid leads to the decomposition of amphibole and stabilization of alkaline melt. An increase in the activity of the sodium component results in richterite similar in composition to richterite from lamproites. The clarified relations can be used to assess the activities of fluid components and conditions for the formation of K-richterite. To update the data bank of the Raman spectra of minerals, the largest and most homogeneous amphibole crystals of different compositions were studied.</p>","PeriodicalId":12781,"journal":{"name":"Geochemistry International","volume":"62 4","pages":"356 - 365"},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140937583","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1134/S0016702923700106
E. D. Berezhnaya, A. V. Dubinin
The paper considers the current state of Platinum Group Elements (PGEs) geochemistry in the ocean. The behavior of PGEs in the aquatic environment is defined by their oxidation state, the ability to change it, and complexation. The difference in chemical properties leads to PGEs fractionation in the ocean. This is their characteristic feature, along with their ultra-low contents. The paper describes the sources of PGEs supply to the ocean, PGEs behavior in the river–sea mixing zone, and their distribution in seawater. The processes of PGE accumulation in sediments, seafloor sulfides, and ferromanganese deposits of the ocean are reviewed. Possible mechanisms of PGE accumulation on ferromanganese oxyhydroxides are discussed.
{"title":"Platinum Group Element Geochemistry in the Ocean","authors":"E. D. Berezhnaya, A. V. Dubinin","doi":"10.1134/S0016702923700106","DOIUrl":"10.1134/S0016702923700106","url":null,"abstract":"<p>The paper considers the current state of Platinum Group Elements (PGEs) geochemistry in the ocean. The behavior of PGEs in the aquatic environment is defined by their oxidation state, the ability to change it, and complexation. The difference in chemical properties leads to PGEs fractionation in the ocean. This is their characteristic feature, along with their ultra-low contents. The paper describes the sources of PGEs supply to the ocean, PGEs behavior in the river–sea mixing zone, and their distribution in seawater. The processes of PGE accumulation in sediments, seafloor sulfides, and ferromanganese deposits of the ocean are reviewed. Possible mechanisms of PGE accumulation on ferromanganese oxyhydroxides are discussed.</p>","PeriodicalId":12781,"journal":{"name":"Geochemistry International","volume":"62 4","pages":"327 - 343"},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140937897","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1134/S0016702923700155
A. F. Redkin, N. P. Kotova, Yu. B. Shapovalov, A. N. Nekrasov
New data on roméite (CaNa)Sb2O6F solubility in the NaF–H2O system of P–Q type have been obtained within a wide range of sodium fluoride concentrations (from 0 to 25 wt % NaF). The concentration of antimony, in equilibrium with roméite and fluorite, in the range of NaF concentrations from 1 to 8 mol kg–1 H2O (25 wt % NaF), is in the range of 0.02–0.2 mol kg–1 H2O. According to the data, the concentration of antimony in phases L1 and L2 in the region of fluid immiscibility of the NaF–H2O system at 800°C, 200 MPa and fO2 = 50 Pa, specified by the Cu2O–CuO buffer, is 0.4 and 2.1 wt % Sb, respectively. Our experiments were the first ever to produce skeletal fluorite crystals and the intermetallic compound Pt5Sb, which belongs the hexagonal crystal system and has the following lattice parameters (LP): a = b = 4.56(4) Å, c = 4.229(2) Å, and α = β = 90°, γ = 120°. Pentaplatinum antimonide was formed on the inner surface of the Pt capsules at 800°C, Р = 200 MPa, and fO2 ≤ 10–3.47 Pa (Cu–Cu2O buffer) in experiments on the incongruent dissolution of roméite, which causes a sharp decrease (more than 1000 times) in antimony concentration in the solution.
{"title":"Roméite Solubility in the Fluid Immiscibility Region of the NaF–H2O System at 800°C, 200 MPa","authors":"A. F. Redkin, N. P. Kotova, Yu. B. Shapovalov, A. N. Nekrasov","doi":"10.1134/S0016702923700155","DOIUrl":"10.1134/S0016702923700155","url":null,"abstract":"<p>New data on roméite (CaNa)Sb<sub>2</sub>O<sub>6</sub>F solubility in the NaF–H<sub>2</sub>O system of P–Q type have been obtained within a wide range of sodium fluoride concentrations (from 0 to 25 wt % NaF). The concentration of antimony, in equilibrium with roméite and fluorite, in the range of NaF concentrations from 1 to 8 mol kg<sup>–1</sup> H<sub>2</sub>O (25 wt % NaF), is in the range of 0.02–0.2 mol kg<sup>–1</sup> H<sub>2</sub>O. According to the data, the concentration of antimony in phases <i>L</i><sub>1</sub> and <i>L</i><sub>2</sub> in the region of fluid immiscibility of the NaF–H<sub>2</sub>O system at 800°C, 200 MPa and <i>f</i>O<sub>2</sub> = 50 Pa, specified by the Cu<sub>2</sub>O–CuO buffer, is 0.4 and 2.1 wt % Sb, respectively. Our experiments were the first ever to produce skeletal fluorite crystals and the intermetallic compound Pt<sub>5</sub>Sb, which belongs the hexagonal crystal system and has the following lattice parameters (LP): <i>a</i> = <i>b</i> = 4.56(4) Å, <i>c</i> = 4.229(2) Å, and α = β = 90°, γ = 120°. Pentaplatinum antimonide was formed on the inner surface of the Pt capsules at 800°C, <i>Р</i> = 200 MPa, and <i>f</i>O<sub>2</sub> ≤ 10<sup>–3.47</sup> Pa (Cu–Cu<sub>2</sub>O buffer) in experiments on the incongruent dissolution of roméite, which causes a sharp decrease (more than 1000 times) in antimony concentration in the solution.</p>","PeriodicalId":12781,"journal":{"name":"Geochemistry International","volume":"62 4","pages":"384 - 392"},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140937937","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1134/S0016702923700167
O. N. Karaseva, L. Z. Lakshtanov, D. A. Khanin, A. S. Proskuryakova
Natural Mg phyllosilicates are potential sources of divalent cations, which are necessary for the mineralization of CO2 into carbonates. The influence of inorganic (({text{HCO}}_{3}^{ - })) and organic (oxalate and citrate) ligands on the dissolution kinetics of talc and serpentine was studied in experiments in a flow-through reactor at 25°C. The dissolution rates of natural silicates r (mol cm–2 s–1) in solutions of various composition were calculated at the stationary stage of dissolution after a rapid initial stage, which is characterized by the formation of a surface leached layer depleted in magnesium. The presence of ligands increases the dissolution rate of magnesium silicates due to the formation of surface complexes, which leads to magnesium separation from the surface and transfer into solution. The initial incongruent stage may be the most promising for the development of carbonation technologies, because the minimum removal of the network-forming elements prevents the undesirable formation of secondary minerals (for example, clays), which exclude divalent cations from the carbonation process and greatly reduce the permeability of rocks.
{"title":"Effect of pH, CO2, and Organic Ligand on the Kinetics of Talc and Lizardite Dissolution","authors":"O. N. Karaseva, L. Z. Lakshtanov, D. A. Khanin, A. S. Proskuryakova","doi":"10.1134/S0016702923700167","DOIUrl":"10.1134/S0016702923700167","url":null,"abstract":"<div><p>Natural Mg phyllosilicates are potential sources of divalent cations, which are necessary for the mineralization of CO<sub>2</sub> into carbonates. The influence of inorganic (<span>({text{HCO}}_{3}^{ - })</span>) and organic (oxalate and citrate) ligands on the dissolution kinetics of talc and serpentine was studied in experiments in a flow-through reactor at 25°C. The dissolution rates of natural silicates <i>r</i> (mol cm<sup>–2</sup> s<sup>–1</sup>) in solutions of various composition were calculated at the stationary stage of dissolution after a rapid initial stage, which is characterized by the formation of a surface leached layer depleted in magnesium. The presence of ligands increases the dissolution rate of magnesium silicates due to the formation of surface complexes, which leads to magnesium separation from the surface and transfer into solution. The initial incongruent stage may be the most promising for the development of carbonation technologies, because the minimum removal of the network-forming elements prevents the undesirable formation of secondary minerals (for example, clays), which exclude divalent cations from the carbonation process and greatly reduce the permeability of rocks.</p></div>","PeriodicalId":12781,"journal":{"name":"Geochemistry International","volume":"62 4","pages":"393 - 402"},"PeriodicalIF":0.7,"publicationDate":"2024-05-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"140937990","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Pub Date : 2024-05-09DOI: 10.1134/S0016702923700118
N. R. Khisina, D. D. Badyukov, K. A. Lorenz, Yu. N. Palyanov, I. N. Kupriyanov, B. B. Shkursky
Olivine grains from the Seymchan pallasite were studied using optical microscopy, Raman spectroscopy, and scanning electron microscopy (SEM). Olivine is characterized by the presence of hollow straight channels <1 µm wide and inclusions of hollow negative crystals of prismatic habit 1–2 µm thick. The channels are oriented parallel to [001] of olivine and developed along [001] screw dislocations. The elongation axes of negative crystals are also oriented parallel to [001]. In the channels, hollow segments alternate with segments filled with metallic iron. Negative crystals are crystallographically faceted voids in olivine; the largest of them contain inclusions of metallic iron. The rectilinear configuration and crystallographic orientation of the channels correspond to the characteristics of [001] screw dislocations, which allows us to consider [001] dislocations as channel precursors. The data obtained demonstrate for the first time the evolution of [001] dislocations in olivine as a result of the shock-induced reduction of divalent iron during the interaction of olivine with the host FeNi metal. A model is proposed for the transformation of dislocations with the formation of channels and hollow negative crystals in Seymchan olivine in accordance with one of the reactions: (begin{gathered} 2{text{F}}{{{text{e}}}_{{{text{host}}}}} + {{left( {{text{M}}{{{text{g}}}_{{1 - n}}}{text{F}}{{{text{e}}}_{n}}} right)}_{2}}{text{Si}}{{{text{O}}}_{4}} = 2n{{left[ {{text{FeO}}} right]}_{{{text{host}}}}} + {{left[ {n{text{Si}}{{{text{O}}}_{2}} + 2n{text{F}}{{{text{e}}}^{0}} + left( {1 - n} right){text{M}}{{{text{g}}}_{{text{2}}}}{text{Si}}{{{text{O}}}_{4}} + 2n{{v}^{{2 - }}} + 2n{{v}^{{2 + }}}} right]}_{{{text{ol}}}}}, 2{text{F}}{{{text{e}}}_{{{text{host}}}}} + {{left( {{text{M}}{{{text{g}}}_{{1 - n}}}{text{F}}{{{text{e}}}_{n}}} right)}_{2}}{text{Si}}{{{text{O}}}_{{text{4}}}} = 2n{{left[ {{text{FeO}}} right]}_{{{text{host}}}}} + {{left[ {n{text{MgSi}}{{{text{O}}}_{3}} + n{text{F}}{{{text{e}}}^{0}} + left( {1 - n} right){text{M}}{{{text{g}}}_{{text{2}}}}{text{Si}}{{{text{O}}}_{4}} + n{{v}^{{2 - }}} + n{{v}^{{2 + }}}} right]}_{{{text{ol}}}}}. end{gathered} )