Tatiana S. Sokolova, Peter I. Dorogokupets, Alena I. Filippova
{"title":"Equations of state of clino- and orthoenstatite and phase relations in the MgSiO3 system at pressures up to 12 GPa and high temperatures","authors":"Tatiana S. Sokolova, Peter I. Dorogokupets, Alena I. Filippova","doi":"10.1007/s00269-022-01212-7","DOIUrl":"10.1007/s00269-022-01212-7","url":null,"abstract":"<div><p>The equations of state of MgSiO<sub>3</sub>-pyroxenes (low-pressure clinoenstatite, orthoenstatite and high-pressure clinoenstatite) are constructed using a thermodynamic model based on the Helmholtz free energy and optimization of known experimental measurements and calculated data for these minerals. The obtained equations of state allow us to calculate a full set of thermodynamic and thermoelastic properties as depending on <i>T–P</i> or <i>T–V</i> parameters. We offer open working MS Excel spreadsheets for calculations, which are a convenient tool for solving various user’s tasks. The phase relations in the MgSiO<sub>3</sub> system are calculated based on the estimated Gibbs energy for studied MgSiO<sub>3</sub>-pyroxenes and clarify other calculated data at pressures up to 12 GPa and temperatures up to 2000 K. The obtained orthoenstatite → high-pressure clinoenstatite phase boundary corresponds to the following equation <i>P</i>(GPa) = 0.0021 × <i>T</i>(K) + 4.2. The triple point of equilibrium is determined at 1100 K and 6.5 GPa. Isotropic compressional (<i>P</i>) and shear (<i>S</i>) wave velocities of orthoenstatite and high-pressure clinoenstatite at different pressures are calculated based on the obtained equations of state. The calculated jumps of <i>P</i>- and <i>S</i>-wave velocities of orthoenstatite → high-pressure clinoenstatite phase transition at a pressure of ~ 9 GPa are 0.7 and 5.1%, respectively. The calculated jump of the density of this phase transition at a pressure of 8 GPa, which corresponds to the depth of ~ 250 km, is 2.9%. These results are used to discuss the location of the seismic X-discontinuity at the depths of 250–340 km, which is associated with phase boundaries in enstatite.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 9","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-08-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00269-022-01212-7.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4596340","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Phase transitions and compressibility of alkali-bearing double carbonates at high pressures: a first-principles calculations study","authors":"Bingxu Hou, Shengxuan Huang, Shan Qin","doi":"10.1007/s00269-022-01210-9","DOIUrl":"10.1007/s00269-022-01210-9","url":null,"abstract":"<div><p>Here, we investigated high-pressure behaviors of four end-members of K-Na-Ca-Mg alkali-bearing double carbonates (K<sub>2</sub>Mg(CO<sub>3</sub>)<sub>2</sub>, K<sub>2</sub>Ca(CO<sub>3</sub>)<sub>2</sub>, Na<sub>2</sub>Mg(CO<sub>3</sub>)<sub>2</sub>, and Na<sub>2</sub>Ca(CO<sub>3</sub>)<sub>2</sub>) using first-principles calculations up to ~ 25 GPa. For K<sub>2</sub>Mg, K<sub>2</sub>Ca, and Na<sub>2</sub>Mg double carbonates, the transitions from rhombohedral structures (<i>R</i> <span>(stackrel{mathrm{-}}{3})</span> <i>m</i> or <i>R</i> <span>(stackrel{mathrm{-}}{3})</span>) to monoclinic (<i>C</i>2/<i>m</i>) or triclinic (<i>P</i> <span>(stackrel{mathrm{-}}{1})</span>) structures are predicted. While for Na<sub>2</sub>Ca(CO<sub>3</sub>)<sub>2</sub>, the <i>P</i>2<sub>1</sub><i>ca</i> structure remains stable across the calculated pressure range. But the high-pressure behavior of Na<sub>2</sub>Ca double carbonate has changed over 8 GPa: the <i>b</i>-axis becomes more compressible than <i>a</i>-axis; [CO<sub>3</sub>] –I groups tilt out of the <i>a</i>-<i>b</i> plane upon compression and reverse the direction of rotation at 8 GPa. The parameters for the equations of state of these minerals and their high-pressure phases were all theoretically determined. The predicted transformation is driven by the differences in the compressibility of structural units. The K<sup>+</sup> and Na<sup>+</sup> coordination polyhedra are more compressible in the structure, compared with the high axial rigidity of C–O bonds in the [CO<sub>3</sub>] triangle along the <i>a-b</i> plane. Our results provide projections of the high-pressure behaviors of trigonal double carbonates, in part by helping to clarify the relation among the average metallic ionic radius (<i>R</i><sub>avg</sub>), the bulk modulus (<i>K</i><sub>0</sub>), and the transition pressure (<i>P</i><sub>T</sub>). The transition pressure (<i>P</i><sub>T</sub>) is anticorrelated to the average metallic ionic radius (<i>R</i><sub>avg</sub>), and a larger <i>R</i><sub>avg</sub> results in a lower bulk modulus (<i>K</i><sub>0</sub>) for the trigonal double carbonates. Furthermore, alkali-bearing double carbonates found as inclusions in the natural diamond may indicate a hydrous parental medium composition and a deeper genesis mechanism.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 8","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46826349","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}
{"title":"High-pressure Cr3+ R-line luminescence of zoisite and kyanite: a probe of octahedral site distortion","authors":"Earl F. O’Bannon III, Quentin Williams","doi":"10.1007/s00269-022-01211-8","DOIUrl":"10.1007/s00269-022-01211-8","url":null,"abstract":"<div><p>The Cr<sup>3+</sup> luminescence spectra of zoisite and kyanite, two geologically important minerals, were studied up to 40 and 20 GPa, respectively, in various pressure media. Cr<sup>3+</sup> substitutes into the octahedral aluminum sites in both minerals and the R-line luminescence is a particularly sensitive site-specific probe of the octahedral Al site. Unlike many previous studies where Cr<sup>3+</sup> luminescence was utilized, both these minerals have multiple highly distorted octahedral sites resulting in very large splitting of their R-lines, ~ 300 cm<sup>−1</sup> in zoisite and ~ 360 cm<sup>−1</sup> in kyanite (for reference, ruby is 29 cm<sup>−1</sup>). For zoisite, the R-line splitting increases as pressure increases and more than triples from its ambient value by 40 GPa, while the R-line splitting in kyanite from the M1 and M2 sites does not change when compressed in a Ne pressure medium up to 20 GPa. We do not observe evidence of any phase transitions in either zoisite or kyanite across the pressure range of these new luminescence measurements. We present some high-pressure luminescence results where kyanite was known to be bridged between the diamond anvils and show how these spectra illustrate the different effect of uniaxial relative to hydrostatic stress on luminescence spectra.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 8","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-08-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48204795","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}
S. R. Sutton, M. L. Rivers, S. Chariton, P. J. Eng, A. Lanzirotti, M. Newville, T. Officer, V. B. Prakapenka, Y. J. Ryu, J. E. Stubbs, S. Tkachev, Y. Wang, A. Wanhala, J. Xu, M. Xu, T. Yu, D. Zhang
{"title":"GeoSoilEnviroCARS (Sector 13) at the Advanced Photon Source: a comprehensive synchrotron radiation facility for Earth science research at ambient and extreme conditions","authors":"S. R. Sutton, M. L. Rivers, S. Chariton, P. J. Eng, A. Lanzirotti, M. Newville, T. Officer, V. B. Prakapenka, Y. J. Ryu, J. E. Stubbs, S. Tkachev, Y. Wang, A. Wanhala, J. Xu, M. Xu, T. Yu, D. Zhang","doi":"10.1007/s00269-022-01207-4","DOIUrl":"10.1007/s00269-022-01207-4","url":null,"abstract":"<div><p>GeoSoilEnviroCARS (GSECARS) is a comprehensive analytical laboratory for Earth and environmental science research using X-ray beams from the Advanced Photon Source, Argonne National Laboratory. State-of-the-art instruments are available for (1) high-pressure/high- or low-temperature diffraction, total scattering, and spectroscopy (Brillouin, Raman, and VIS-IR) using the laser heated diamond anvil cell (DAC); (2) high-pressure/high-temperature diffraction, scattering, and imaging as well as acoustic emission (AE) and ultrasonics using the large-volume press (LVP); (3) powder, single crystal, and surface/interface diffraction; (4) X-ray absorption fine structure spectroscopy; (5) X-ray fluorescence microprobe analysis; and (6) microtomography. Experiments are facilitated by senior level staff who collaborate on all aspects of the analytical work including experiment design, sample preparation, data collection, data interpretation, and publication preparation. Both technical and scientific synergies occur as a result of the intimate association of the various techniques and scientists experienced in the applications of synchrotron radiation to Earth, environmental, and planetary science problems. The facility includes state-of-the-art instrumentation designed and built in-house, including custom X-ray optics, online and offline laser-based systems, specialized sample environments and positioning systems, as well as pixel-array and multi-crystal energy dispersive X-ray detectors, which are available to be shared among the experimental stations.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 8","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48478254","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}
Roberto Lorenzi, Andrea Zullino, Valentina Gagliardi, Loredana Prosperi, Alberto Paleari, Ilaria Adamo
{"title":"Atomic and microstructural origin of banded colours in purple-blue variety of agate from Yozgat Province, Turkey","authors":"Roberto Lorenzi, Andrea Zullino, Valentina Gagliardi, Loredana Prosperi, Alberto Paleari, Ilaria Adamo","doi":"10.1007/s00269-022-01208-3","DOIUrl":"10.1007/s00269-022-01208-3","url":null,"abstract":"<div><p>Agates from Yozgat province are appreciated on the gem market for their white and purple-blue banded colours. In this study, we present a detailed investigation aimed at the identification of the atomic and structural origin of this peculiar colouration of chalcedony. X-ray diffraction and Raman spectroscopy revealed the presence of fine grains of quartz and moganite with a preferential accumulation of the latter in the blue bands. Near-infrared diffuse absorption spectra show overtones of hydroxyls vibrations at 1425, 1900, and 2250 nm. In the visible, the broad absorption at about 500 nm, as well as its behaviour at low temperatures, is compatible with the optical activity of iron impurities in quartz matrices, such as that observed in amethysts. Peak intensities and shapes are very similar for spectra collected in blue and white bands. Accordingly, trace-element composition from laser ablation inductively coupled mass spectrometry confirmed that the two regions have similar Fe content. The perceived changes in band colours are indeed originated by differences in microstructural arrangement and size of the grains visualised through scanning electron microscopy. White and blue stripes have grains of about 5 µm and 300 nm in size, respectively, resulting in an accentuated scattering component for the white bands. Therefore, the unique purple-blue shades typical of Yozgat agates are a combination of iron-related colour centres and scattering effect.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 8","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-07-26","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00269-022-01208-3.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"43587407","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Fast anisotropic Mg and H diffusion in wet forsterite","authors":"Joshua M. R. Muir, Feiwu Zhang, Andrew M. Walker","doi":"10.1007/s00269-022-01204-7","DOIUrl":"10.1007/s00269-022-01204-7","url":null,"abstract":"<div><p>Adding hydrogen to forsterite strongly increases the diffusion rate of Mg, but the reason for this is unclear. As Mg diffusion in forsterite can influence its electrical conductivity, understanding this process is important. In this study we use density functional theory to predict the diffusivity of H-bearing Mg vacancies and we find that they are around 1000 times slower than H-free Mg vacancies. H-bearing Mg vacancies are many orders of magnitude more concentrated than H-free Mg vacancies, however, and diffusion is a combination of diffusivity and defect concentration. Overall, the presence of hydrated Mg vacancies is predicted to cause a large (multiple orders of magnitude) increase in both diffusion rate and diffusional anisotropy with a strong preference for diffusion in the [001] direction predicted. In models of experimental data, the effect of water concentration on diffusion is often described by a constant best-fitting exponent. Our results suggest that this exponent will vary between 0.5 and 1.6 across common experimental conditions with pressure decreasing and temperature increasing this exponent. These results suggest that Mg diffusion in forsterite could vary considerably throughout upper mantle conditions in ways that cannot be captured with a simple single-exponent model. Comparisons to measures of hydrogen diffusivity suggest that the diffusion of hydrated Mg vacancies also controls the diffusion of hydrogen in (iron-free) forsterite and that our conclusions above also apply to hydrogen diffusion rates and anisotropy. We also find that cation diffusivity likely cannot explain experimental measurements of the effect of water on electrical conductivity in olivine.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 8","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-07-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48100504","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}
Karine Gouriet, Pascal Roussel, Philippe Carrez, Patrick Cordier
{"title":"Ultimate mechanical properties of enstatite","authors":"Karine Gouriet, Pascal Roussel, Philippe Carrez, Patrick Cordier","doi":"10.1007/s00269-022-01206-5","DOIUrl":"10.1007/s00269-022-01206-5","url":null,"abstract":"<div><p>The ultimate mechanical properties of MgSiO<sub>3</sub> orthoenstatite (OEN), as characterized here by the ideal strengths, have been calculated under tensile and shear loadings using first-principles calculations. Both ideal tensile strength (ITS) and shear strength (ISS) are computed by applying homogeneous strain increments along high-symmetry directions ([100], [010], and [001]) and low index shear planes ((100), (010), and (001)) of the orthorhombic lattice. We show that the ultimate mechanical properties of OEN are highly anisotropic during tensile loading, with ITS ranging from 4.5 GPa along [001] to 8.7 GPa along [100], and quite isotropic during the shear loading with ISS ranging from 7.4 to 8.9 GPa. During tensile test along [100] and [001], a modified structure close to OEN has been found. This modified structure is more stable than OEN under stress (or strain). We have characterized its elastic and ultimate properties under tensile loading. With ITS ranging from 7.6 GPa along [010] to 25.6 GPa along [001], this modified structure appears to be very anisotropic with exceptional strength along [001].</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 8","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-07-11","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00269-022-01206-5.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4460711","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
Timothy Officer, Lupei Zhu, Ziyu Li, Tony Yu, David R. Edey, Yanbin Wang
{"title":"Application of the double-difference relocation method to acoustic emission events in high-pressure deformation experiments","authors":"Timothy Officer, Lupei Zhu, Ziyu Li, Tony Yu, David R. Edey, Yanbin Wang","doi":"10.1007/s00269-022-01203-8","DOIUrl":"10.1007/s00269-022-01203-8","url":null,"abstract":"<div><p>A methodology has been developed, detailing the theory and workflow, for applying the double-difference relocation method to acoustic emission (AE) event location in high-pressure/high-temperature deformation experiments in the multi-anvil apparatus. The process is predicated on the fact that events originating from a common source region will traverse similar ray paths from the source to the receiver and display similar waveforms in seismograms. This implies their travel-time difference results only from their spatial offset and any velocity heterogeneity along the ray path is negated. To demonstrate the efficacy of this approach we applied it to a transformational faulting experiment on the isostructural olivine analogue Mg<sub>2</sub>GeO<sub>4</sub> under controlled deformation at 2.5 GPa and 700 °C while simultaneously monitoring stress, strain, and acoustic activity. Waveforms from all 1456 AE events were cross-correlated to measure differential arrival times and construct multiplet groups of similar events. In total, 110 multiplets were identified whose size is dominated by two large groups containing 272 and 202 events. Relocation of these two multiplets using the double-difference method significantly reduces event separation and improves location uncertainty by more than an order of magnitude when compared to absolute location techniques whose uncertainty rivals that of the sample size. In particular, event locations of the two largest multiplets reveal two dense clusters whose spatial geometry closely mirrors that of macroscopic faulting displayed in computerized tomography images of the recovered sample. In this way, we are able to link specific faults with their associated AE events, which would otherwise not be possible using traditional absolute location methods.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 8","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-07-06","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00269-022-01203-8.pdf","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4254258","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
{"title":"Grain growth inhibited during grain size-sensitive creep in polycrystalline ice: an energy dissipation-rate perspective","authors":"Tess E. Caswell, Reid F. Cooper","doi":"10.1007/s00269-022-01202-9","DOIUrl":"10.1007/s00269-022-01202-9","url":null,"abstract":"<div><p>Experiments in which two identical polycrystalline ice Ih specimens are simultaneously subjected to the same time–temperature history while one of the specimens is actively deformed via grain size-sensitive (GSS) creep demonstrate distinctly different microstructural evolution: for particular ranges of starting grain size and differential stress, grains do not grow in the deforming specimen. Ice Ih specimens having initial, uniform grain sizes in the range <i>d</i> = 6–63 μm were tested in pairs that were subjected to identical time–temperature conditions (durations <i>t</i> = 4–12 days; <i>T</i> = 240 K) but of which only one was subjected to differential stress (<i>σ</i><sub>1</sub> = 0.25–1.85 MPa; <i>σ</i><sub>3</sub> = 0). Comparing specimens within a pair, for those with coarser initial grain size, the deformed specimens exhibit suppressed or no grain growth. Our results are interpreted from the perspective of nonequilibrium thermodynamics, specifically comparing the energy dissipation rates associated with both grain growth and plastic flow: if the rate of energy dissipation associated with flow exceeds that of grain growth, the grains will not grow. An examination of the limited database on GSS flow and grain growth in silicates conforms to our analysis. The results are applied to the question of the mechanical evolution of terrestrial glaciers and to the ice-rich shells of the outer satellites.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 7","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4085825","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}
{"title":"Equation of state of elbaite at high pressure up to 21.1 GPa and room temperature","authors":"Wei Chen, Shijie Huang, Zhilin Ye, Jiamei Song, Shanrong Zhang, Mengzeng Wu, Dawei Fan, Wenge Zhou","doi":"10.1007/s00269-022-01201-w","DOIUrl":"10.1007/s00269-022-01201-w","url":null,"abstract":"<div><p>The equation of the state of a natural elbaite sample has been investigated at room temperature and up to 21.1 GPa for the first time using in situ synchrotron X-ray diffraction in this study. No phase transition is observed on elbaite over the experimental pressure range. The pressure–volume data were fitted by the third-order Birch-Murnaghan equation of state (EoS) with the zero-pressure unit-cell volume <i>V</i><sub><i>0</i></sub> = 1540.7 (6) Å<sup>3</sup>, the zero-pressure bulk modulus <i>K</i><sub><i>T</i>0</sub> = 114.7 (7) GPa, and its pressure derivative <i>K</i>'<sub>T0</sub> = 4.2 (1), while obtained <i>V</i><sub>0</sub> = 1540.1 (4) Å<sup>3</sup> and <i>K</i><sub>T0</sub> = 116.4 (4) GPa when fixed <i>K</i>'<sub>T0</sub> = 4. Furthermore, the axial compressional behavior of elbaite was also fitted with a linearized third-order Birch-Murnaghan EoS, the obtained axial moduli for <i>a</i>-axis and <i>c</i>-axis are <i>K</i><sub>a0</sub> = 201 (4) GPa and <i>K</i><sub>c0</sub> = 60 (1) GPa, respectively. The axial compressibilities of <i>a</i>-axis and <i>c</i>-axis are <i>β</i><sub>a</sub> = 1.66 × 10<sup>–3</sup> GPa<sup>−1</sup> and <i>β</i><sub>c</sub> = 5.56 × 10<sup>–3</sup> GPa<sup>−1</sup> with an anisotropic ratio of <i>β</i><sub>a</sub>: <i>β</i><sub>c</sub> = 0.30: 1.00, which shows an intense axial compression anisotropy. The potential influencing factors on the bulk moduli and the anisotropic linear compressibilities of tourmalines were further discussed.</p></div>","PeriodicalId":20132,"journal":{"name":"Physics and Chemistry of Minerals","volume":"49 7","pages":""},"PeriodicalIF":1.4,"publicationDate":"2022-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"4088373","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}