{"title":"elbaite在21.1 GPa高压和室温下的状态方程","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":null,"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":null,"pages":null},"PeriodicalIF":1.2000,"publicationDate":"2022-07-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":"{\"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\":null,\"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\":null,\"pages\":null},\"PeriodicalIF\":1.2000,\"publicationDate\":\"2022-07-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Physics and Chemistry of Minerals\",\"FirstCategoryId\":\"89\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00269-022-01201-w\",\"RegionNum\":4,\"RegionCategory\":\"地球科学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATERIALS SCIENCE, MULTIDISCIPLINARY\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Physics and Chemistry of Minerals","FirstCategoryId":"89","ListUrlMain":"https://link.springer.com/article/10.1007/s00269-022-01201-w","RegionNum":4,"RegionCategory":"地球科学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATERIALS SCIENCE, MULTIDISCIPLINARY","Score":null,"Total":0}
Equation of state of elbaite at high pressure up to 21.1 GPa and room temperature
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 V0 = 1540.7 (6) Å3, the zero-pressure bulk modulus KT0 = 114.7 (7) GPa, and its pressure derivative K'T0 = 4.2 (1), while obtained V0 = 1540.1 (4) Å3 and KT0 = 116.4 (4) GPa when fixed K'T0 = 4. Furthermore, the axial compressional behavior of elbaite was also fitted with a linearized third-order Birch-Murnaghan EoS, the obtained axial moduli for a-axis and c-axis are Ka0 = 201 (4) GPa and Kc0 = 60 (1) GPa, respectively. The axial compressibilities of a-axis and c-axis are βa = 1.66 × 10–3 GPa−1 and βc = 5.56 × 10–3 GPa−1 with an anisotropic ratio of βa: βc = 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.
期刊介绍:
Physics and Chemistry of Minerals is an international journal devoted to publishing articles and short communications of physical or chemical studies on minerals or solids related to minerals. The aim of the journal is to support competent interdisciplinary work in mineralogy and physics or chemistry. Particular emphasis is placed on applications of modern techniques or new theories and models to interpret atomic structures and physical or chemical properties of minerals. Some subjects of interest are:
-Relationships between atomic structure and crystalline state (structures of various states, crystal energies, crystal growth, thermodynamic studies, phase transformations, solid solution, exsolution phenomena, etc.)
-General solid state spectroscopy (ultraviolet, visible, infrared, Raman, ESCA, luminescence, X-ray, electron paramagnetic resonance, nuclear magnetic resonance, gamma ray resonance, etc.)
-Experimental and theoretical analysis of chemical bonding in minerals (application of crystal field, molecular orbital, band theories, etc.)
-Physical properties (magnetic, mechanical, electric, optical, thermodynamic, etc.)
-Relations between thermal expansion, compressibility, elastic constants, and fundamental properties of atomic structure, particularly as applied to geophysical problems
-Electron microscopy in support of physical and chemical studies
-Computational methods in the study of the structure and properties of minerals
-Mineral surfaces (experimental methods, structure and properties)