Pressure calibrations of high-pressure large-volume presses at HPSTAR

Xu Yongjiang; Wu Peiyan; Shang Sheng; Wang Xue; Li Taihang; Gao Shuchang; Lv Shijie; Cheng Hang; Xu Qianzhi; Lei Shang; Feng Jiajia; Zhao Lei; van Westrenen Wim; Ishii Takayuki; Chen Bin; Su Lei; Ding Yang; Yang Wenge; Mao Ho-Kwang; Lin Yanhao

doi:10.1063/5.0289378

Volume 11 Issue 1

Jan. 2026

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Article Navigation > Matter and Radiation at Extremes > 2026 > 11(1): 017803

Xu Yongjiang, Wu Peiyan, Shang Sheng, Wang Xue, Li Taihang, Gao Shuchang, Lv Shijie, Cheng Hang, Xu Qianzhi, Lei Shang, Feng Jiajia, Zhao Lei, van Westrenen Wim, Ishii Takayuki, Chen Bin, Su Lei, Ding Yang, Yang Wenge, Mao Ho-Kwang, Lin Yanhao. Pressure calibrations of high-pressure large-volume presses at HPSTAR[J]. Matter and Radiation at Extremes, 2026, 11(1): 017803. doi: 10.1063/5.0289378

Citation:

Xu Yongjiang, Wu Peiyan, Shang Sheng, Wang Xue, Li Taihang, Gao Shuchang, Lv Shijie, Cheng Hang, Xu Qianzhi, Lei Shang, Feng Jiajia, Zhao Lei, van Westrenen Wim, Ishii Takayuki, Chen Bin, Su Lei, Ding Yang, Yang Wenge, Mao Ho-Kwang, Lin Yanhao. Pressure calibrations of high-pressure large-volume presses at HPSTAR[J]. Matter and Radiation at Extremes, 2026, 11(1): 017803. doi: 10.1063/5.0289378

Citation:

Xu Yongjiang, Wu Peiyan, Shang Sheng, Wang Xue, Li Taihang, Gao Shuchang, Lv Shijie, Cheng Hang, Xu Qianzhi, Lei Shang, Feng Jiajia, Zhao Lei, van Westrenen Wim, Ishii Takayuki, Chen Bin, Su Lei, Ding Yang, Yang Wenge, Mao Ho-Kwang, Lin Yanhao. Pressure calibrations of high-pressure large-volume presses at HPSTAR[J]. Matter and Radiation at Extremes, 2026, 11(1): 017803. doi: 10.1063/5.0289378

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Pressure calibrations of high-pressure large-volume presses at HPSTAR

doi: 10.1063/5.0289378

Xu Yongjiang^1
,,
Wu Peiyan^1
,,
Shang Sheng^1
,,
Wang Xue^1
,,
Li Taihang^1
,,
Gao Shuchang^{1, 2
,},
Lv Shijie^{1, 3
,},
Cheng Hang¹,
Xu Qianzhi^1
,,
Lei Shang^1
,,
Feng Jiajia^1
,,
Zhao Lei¹,
van Westrenen Wim^{1, 4
,},
Ishii Takayuki^{1, 5
,},
Chen Bin^1
,,
Su Lei^{1, 3},
Ding Yang^1
,,
Yang Wenge^1
,,
Mao Ho-Kwang^{1, 3
,},
Lin Yanhao^{1
,
,
,}

1.
Center for High Pressure Science and Technology Advanced Research, Beijing 100193, China
2.
Earth and Environmental Sciences, KU Leuven, 3001 Leuven, Belgium
3.
Shanghai Advanced Research in Physical Sciences, Shanghai 201203, China
4.
Department of Earth Sciences, Faculty of Science, Vrije Universiteit Amsterdam, De Boelelaan, 1100 Amsterdam, The Netherlands
5.
Institute for Planetary Materials, Okayama University, Misasa 6820193, Japan

More Information

Corresponding author: a)Author to whom correspondence should be addressed: yanhao.lin@hpstar.ac.cn
Received Date: 2025-07-07
Accepted Date: 2025-10-23

Available Online: 2026-01-01

Publish Date: 2026-01-01

Abstract

Abstract

Large-volume presses (LVPs) are widely utilized in diverse research fields—including high-pressure physics, chemistry, materials science, and Earth and planetary sciences—to investigate the physical and chemical properties of materials under extreme high-pressure and high-temperature conditions. A prerequisite for achieving reproducible property measurements is the determination and control of pressure within experimental setups. However, the lack of precise pressure calibration in LVPs hinders the broader application of such devices in ultrahigh-pressure studies. This study employs a suite of standard phase transition-based pressure markers—comprising metallic conductors, semiconductors, and minerals—through both in situ and ex situ identification approaches, to establish pressure calibration curves ranging from 0.4 to >30 GPa for various types of LVP installed at the Center for High Pressure Science and Technology Advanced Research (HPSTAR), Beijing, including piston–cylinder, cubic, and multi-anvil presses. The results provide a unified and traceable pressure reference for high-pressure experiments conducted at HPSTAR, while also offering technical guidance and calibration standards for other researchers utilizing similar LVP systems, thereby enabling more consistent comparison between different laboratories. This work facilitates the advancement of LVP research toward broader applications in higher-pressure regimes.

The authors have no conflicts to disclose.
Conflict of Interest
Author Contributions
Yongjiang Xu (徐永江): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal); Writing – original draft (equal); Writing – review & editing (equal). Peiyan Wu (吴培衍): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal); Writing – original draft (equal); Writing – review & editing (equal). Sheng Shang (尚升): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Xue Wang (王雪): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Taihang Li (李钛航): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal). Shuchang Gao (高书畅): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal). Shijie Lv (吕世杰): Data curation (equal); Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Hang Cheng (程行): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Qianzhi Xu (许潜智): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal). Shang Lei (雷尚): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal). Jiajia Feng (冯嘉嘉): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal). Lei Zhao (赵磊): Data curation (equal); Formal analysis (equal); Investigation (equal); Methodology (equal); Validation (equal). Wim van Westrenen: Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Takayuki Ishii (石井貴之): Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Bin Chen (陈斌): Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Lei Su (苏磊): Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Yang Ding (丁阳): Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Wenge Yang (杨文革): Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Ho-Kwang Mao (毛河光): Investigation (equal); Methodology (equal); Validation (equal); Writing – review & editing (equal). Yanhao Lin (林彦蒿): Conceptualization (equal); Investigation (equal); Methodology (equal); Project administration (equal); Validation (equal); Writing – review & editing (equal).
The data that support the findings of this study are available from the corresponding author upon reasonable request.

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References(115)

References

[1]	P. Bridgman, “General survey of certain results in the field of high-pressure physics,” in Nobel Lecture (Elsevier Publishing Company, 1946).
[2]	B. Chen, “Exploring nanomechanics with high-pressure techniques,” Matter Radiat. Extremes 5, 068104 (2020).10.1063/5.0032600
[3]	H. T. Hall, “Ultrahigh-pressure research: At ultrahigh pressures new and sometimes unexpected chemical and physical events occur,” Science 128, 445–449 (1958).10.1126/science.128.3322.445
[4]	T. Ishii and E. Ohtani, “Dry metastable olivine and slab deformation in a wet subducting slab,” Nat. Geosci. 14, 526–530 (2021).10.1038/s41561-021-00756-7
[5]	J. Kong, K. Shi, A. R. Oganov, J. Zhang, L. Su et al., “Exotic compounds of monovalent calcium synthesized at high pressure,” Matter Radiat. Extremes 9, 067803 (2024).10.1063/5.0222230
[6]	Y. Lin, E. J. Tronche, E. S. Steenstra, and W. Van Westrenen, “Evidence for an early wet moon from experimental crystallization of the lunar magma ocean,” Nat. Geosci. 10, 14–18 (2017).10.1038/ngeo2845
[7]	H.-K. Mao and R. J. Hemley, “The high-pressure dimension in Earth and planetary science,” Proc. Natl. Acad. Sci. U. S. A. 104, 9114 (2007).10.1073/pnas.0703653104
[8]	H.-K. Mao, “Hydrogen and related matter in the pressure dimension,” Matter Radiat. Extremes 7, 063001 (2022).10.1063/5.0130627
[9]	H.-K. Mao, Q. Hu, L. Yang, J. Liu, D. Y. Kim et al., “When water meets iron at Earth's core–mantle boundary,” Natl. Sci. Rev. 4, 870–878 (2017).10.1093/nsr/nwx109
[10]	H.-K. Mao, X.-J. Chen, Y. Ding, B. Li, and L. Wang, “Solids, liquids, and gases under high pressure,” Rev. Mod. Phys. 90, 015007 (2018).10.1103/revmodphys.90.015007
[11]	H.-K. Mao, B. Chen, H. Gou, K. Li, J. Liu et al., “2022 HP special volume: Interdisciplinary high pressure science and technology,” Matter Radiat. Extremes 8, 063001 (2023).10.1063/5.0181097
[12]	H. Tang, X. Yuan, Y. Cheng, H. Fei, F. Liu et al., “Synthesis of paracrystalline diamond,” Nature 599, 605–610 (2021).10.1038/s41586-021-04122-w
[13]	R. Tao and Y. Fei, “High-pressure experimental constraints of partitioning behavior of Si and S at the Mercury’s inner core boundary,” Earth Planet Sci. Lett. 562, 116849 (2021).10.1016/j.epsl.2021.116849
[14]	Y. Xu, Y. Lin, P. Wu, O. Namur, Y. Zhang et al., “A diamond-bearing core-mantle boundary on Mercury,” Nat. Commun. 15, 5061 (2024).10.1038/s41467-024-49305-x
[15]	L. Zhang, Y. Wang, J. Lv, and Y. Ma, “Materials discovery at high pressures,” Nat. Rev. Mater. 2, 17005–17016 (2017).10.1038/natrevmats.2017.5
[16]	J. Zhao, J. Gao, W. Li, Y. Qian, X. Shen et al., “A combinatory ferroelectric compound bridging simple ABO3 and A-site-ordered quadruple perovskite,” Nat. Commun. 12, 747 (2021).10.1038/s41467-020-20833-6
[17]	L. Duan, J. Zhang, X. Wang, J. Zhao, L. Cao et al., “High-pressure synthesis, structure and properties of new ternary pnictides La3TiX5 (X = P, As),” J. Alloys Compd. 831, 154697 (2020).10.1016/j.jallcom.2020.154697
[18]	H.-K. Mao, B. Chen, J. Chen, K. Li, J. F. Lin et al., “Recent advances in high-pressure science and technology,” Matter Radiat. Extremes 1, 59–75 (2016).10.1016/j.mre.2016.01.005
[19]	P. F. McMillan, “New materials from high-pressure experiments,” Nat. Mater. 1, 19–25 (2002).10.1038/nmat716
[20]	H. Tang, X. Yuan, P. Yu, Q. Hu, M. Wang et al., “Revealing the formation mechanism of ultrahard nanotwinned diamond from onion carbon,” Carbon 129, 159–167 (2018).10.1016/j.carbon.2017.12.027
[21]	F. R. Boyd and J. L. England, “Apparatus for phase-equilibrium measurements at pressures up to 50 kilobars and temperatures up to 1750 °C,” J. Geophys. Res. 65, 741–748, (1960).10.1029/jz065i002p00741
[22]	P. McDade, B. J. Wood, W. Van Westrenen, R. Brooker, G. Gudmundsson et al., “Pressure corrections for a selection of piston-cylinder cell assemblies,” Mineral. Mag. 66, 1021–1028 (2002).10.1180/0026461026660074
[23]	X. Liu, J. Chen, J. Tang, Q. He, S. Li et al., “A large volume cubic press with a pressure-generating capability up to about 10 GPa,” High Press. Res. 32, 239–254 (2012).10.1080/08957959.2012.657634
[24]	D. Frost, B. Poe, R. Trønnes, C. Liebske, A. Duba et al., “A new large-volume multianvil system,” Phys. Earth Planet. Inter. 143, 507–514 (2004).10.1016/j.pepi.2004.03.003
[25]	F. B. Hua, K.-C. Liang, J. Kung, W.-L. Hsu, and Y. Wang, “A large volume multi-anvil apparatus for the Earth sciences community in Taiwan,” Terr. Atmos. Oceanic Sci. 23, 647–655 (2012).10.3319/tao.2012.05.07.01(tt)
[26]	N. Kawai and S. Endo, “The generation of ultrahigh hydrostatic pressures by a split sphere apparatus,” Rev. Sci. Instrum. 41, 1178–1181 (1970).10.1063/1.1684753
[27]	N. Kawai, “A static high pressure apparatus with tapering multi-pistons forming a sphere. I,” Proc. Jpn. Acad. 42, 385–388 (1966).10.2183/pjab1945.42.385
[28]	J. Osugi, K. Shimizu, K. Inoue, and K. Yasunami, “A compact cubic anvil high pressure apparatus,” Rev. Phys. Chem. Jpn. 34, 1–6 (1964), see http://hdl.handle.net/2433/46842.
[29]	D. Walker, M. Carpenter, and C. Hitch, “Some simplifications to multianvil devices for high pressure experiments,” Am. Mineral. 75, 1020–1028 (1990).
[30]	R. Farla, “Towards joint in situ determination of pressure and temperature in the large volume press exclusively from X-ray diffraction,” J. Synchrotron Radiat. 30, 807–814 (2023).10.1107/s1600577523004538
[31]	X. Hou, Y. Shang, L. Chen, B. Feng, Y. Zhao et al., “Ultrahigh pressure generation at high temperatures in a Walker-type large-volume press and multiple applications,” Engineering 45, 155–164 (2025).10.1016/j.eng.2023.03.023
[32]	T. Ishii, L. Shi, R. Huang, N. Tsujino, D. Druzhbin et al., “Generation of pressures over 40 GPa using Kawai-type multi-anvil press with tungsten carbide anvils,” Rev. Sci. Instrum. 87, 024501 (2016).10.1063/1.4941716
[33]	T. Ishii, D. Yamazaki, N. Tsujino, F. Xu, Z. Liu et al., “Pressure generation to 65 GPa in a Kawai-type multi-anvil apparatus with tungsten carbide anvils,” High Pressure Res. 37, 507–515 (2017).10.1080/08957959.2017.1375491
[34]	T. Ishii, Z. Liu, and T. Katsura, “A breakthrough in pressure generation by a Kawai-type multi-anvil apparatus with tungsten carbide anvils,” Engineering 5, 434–440 (2019).10.1016/j.eng.2019.01.013
[35]	J. Knibbe, S. Luginbühl, R. Stoevelaar, W. Van der Plas, D. Van Harlingen et al., “Calibration of a multi-anvil high-pressure apparatus to simulate planetary interior conditions,” EPJ Tech. Instrum. 5, 5 (2018).10.1140/epjti/s40485-018-0047-z
[36]	R. C. Liebermann, “My research collaborations with Chinese scientists over the past three decades,” Int. J. Geosci. 12, 960–983 (2021).10.4236/ijg.2021.1210050
[37]	M. Masotta, C. Freda, T. Paul, G. Moore, M. Gaeta et al., “Low pressure experiments in piston cylinder apparatus: Calibration of newly designed 25 mm furnace assemblies to P = 150 MPa,” Chem. Geol. 312, 74–79 (2012).10.1016/j.chemgeo.2012.04.011
[38]	G. Moore, K. Roggensack, and S. Klonowski, “A low-pressure high-temperature technique for the piston-cylinder,” Am. Mineral. 93, 48–52 (2008).10.2138/am.2008.2618
[39]	Y.-C. Shang, F.-R. Shen, X.-Y. Hou, L.-Y. Chen, K. Hu et al., “Pressure generation above 35 GPa in a walker-type large-volume press,” Chin. Phys. Lett. 37, 080701 (2020).10.1088/0256-307x/37/8/080701
[40]	S. R. F. Vlach, A. F. Salazar-Naranjo, J. S. Torres-Corredor, P. R. d. Carvalho, and G. Mallmann, “Calibration of high-temperature furnace assemblies for experiments between 200 and 600 MPa with end-loaded piston-cylinder apparatuses,” Braz. J. Geol. 49, e20180090 (2019).10.1590/2317-488920192018090
[41]	D. Walker and J. Li, “Castable solid pressure media for multianvil devices,” Matter Radiat. Extremes 5, 018402 (2020).10.1063/1.5129534
[42]	X. Zhao, F. Ren, J. He, Y. Pan, H. Tang et al., “Ultrahigh-pressure generation above 50 GPa in a Kawai-type large-volume press,” Matter Radiat. Extremes 10, 047801 (2025).10.1063/5.0249620
[43]	D. L. Decker, “High-pressure equation of state for NaCl, KCl, and CsCl,” J. Appl. Phys. 42, 3239–3244 (1971).10.1063/1.1660714
[44]	Y. Tange, Y. Nishihara, and T. Tsuchiya, “Unified analyses for P‐V‐T equation of state of MgO: A solution for pressure‐scale problems in high P‐T experiments,” J. Geophys. Res.: Solid Earth 114, B03208, (2009).10.1029/2008JB005813
[45]	M. Yokoo, N. Kawai, K. G. Nakamura, K.-i. Kondo, Y. Tange et al., “Ultrahigh-pressure scales for gold and platinum at pressures up to 550 GPa,” Phys. Rev. B 80, 104114 (2009).10.1103/physrevb.80.104114
[46]	K. D. Leinenweber, J. A. Tyburczy, T. G. Sharp, E. Soignard, T. Diedrich et al., “Cell assemblies for reproducible multi-anvil experiments (the COMPRES assemblies),” Am. Mineral. 97, 353–368 (2012).10.2138/am.2012.3844
[47]	K. Bose and J. Ganguly, “Quartz-coesite transition revisited: Reversed experimental determination at 500–1200 °C and retrieved thermochemical properties,” Am. Mineral. 80, 231–238 (1995).10.2138/am-1995-3-404
[48]	M. Akaogi, High-Pressure Silicates and Oxides (Springer Nature, Singapore, 2022).
[49]	V. Bean, S. Akimoto, P. Bell, S. Block, W. Holzapfel et al., “Another step toward an international practical pressure scale: 2nd AIRAPT IPPS task group report,” Physica B+C 139, 52–54 (1986).10.1016/0378-4363(86)90521-8
[50]	D. L. Decker, W. A. Bassett, L. Merrill, H. T. Hall, and J. D. Barnett, “High-pressure calibration: A critical review,” J. Phys. Chem. Ref. Data 1, 773–836 (1972).10.1063/1.3253105
[51]	E. Ito, G. Price, and G. Schubert, “Theory and practice-multianvil cells and high-pressure experimental methods,” Treatise Geophys. 2, 197–230 (2007).10.1016/B978-044452748-6.00036-5
[52]	E. Ito, “Multi-anvil cells and high pressure experimental methods,” Treatise Geophys. 2, 233–261 (2015).10.1016/B978-0-444-53802-4.00035-X
[53]	P. Bridgman, The Physics of High Pressure (G. Bell and Sons, Ltd., London, 1931).
[54]	P. L. M. Heydemann, “Erratum: The Bi I-II transition pressure measured with a dead-weight piston gauge,” J. Appl. Phys. 38, 3424 (1967).10.1063/1.1710143
[55]	M. Huang, F. Peng, S. Guan, J. Zhang, W. Liang et al., “Powder conductor for pressure calibration applied to large volume press under high pressure,” Rev. Sci. Instrum. 92, 073903 (2021).10.1063/5.0053070
[56]	G. Andersson, B. Sundqvist, and G. Bäckström, “A high‐pressure cell for electrical resistance measurements at hydrostatic pressures up to 8 GPa: Results for Bi, Ba, Ni, and Si,” J. Appl. Phys. 65, 3943–3950 (1989).10.1063/1.343360
[57]	S. Ono, “High-pressure phase transition of bismuth,” High Pressure Res. 38, 414–421 (2018).10.1080/08957959.2018.1541456
[58]	S. Ono, “Phase transition in ZnSe at high pressures and high temperatures,” J. Phys. Chem. Solid. 141, 109409 (2020).10.1016/j.jpcs.2020.109409
[59]	A. Ohtani, S. Mizukami, M. Katayama, A. Onodera, and N. Kawai, “Multi-anvil apparatus for high pressure X-ray diffraction,” Jpn. J. Appl. Phys. 16, 1843 (1977).10.1143/jjap.16.1843
[60]	S. Ono and T. Kikegawa, “Phase transformation of GaAs at high pressures and temperatures,” J. Phys. Chem. Solid. 113, 1–4 (2018).10.1016/j.jpcs.2017.10.005
[61]	S. Ono and T. Kikegawa, “Determination of the phase boundary of GaP using in situ high pressure and high-temperature X-ray diffraction,” High Pressure Res. 37, 28–35 (2017).10.1080/08957959.2016.1269900
[62]	C. Hejny and M. I. McMahon, “Large structural modulations in incommensurate Te-III and Se-IV,” Phys. Rev. Lett. 91, 215502 (2003).10.1103/PhysRevLett.91.215502
[63]	J. Akella, S. N. Vaidya, and G. C. Kennedy, “Melting of sodium chloride at pressures to 65 kbar,” Phys. Rev. 185, 1135 (1969).10.1103/physrev.185.1135
[64]	S. Ono, T. Kikegawa, Y. Higo, and Y. Tange, “Precise determination of the phase boundary between coesite and stishovite in SiO2,” Phys. Earth Planet. Inter. 264, 1–6 (2017).10.1016/j.pepi.2017.01.003
[65]	S. Ono, T. Kikegawa, and Y. Higo, “In situ observation of a phase transition in Fe2SiO4 at high pressure and high temperature,” Phys. Chem. Miner. 40, 811–816 (2013).10.1007/s00269-013-0615-3
[66]	T. Katsura, H. Yamada, O. Nishikawa, M. Song, A. Kubo et al., “Olivine‐wadsleyite transition in the system (Mg, Fe)2SiO4,” J. Geophys. Res.: Solid Earth 109, B02209, (2004).10.1029/2003JB002438
[67]	T. Inoue, T. Irifune, Y. Higo, T. Sanehira, Y. Sueda et al., “The phase boundary between wadsleyite and ringwoodite in Mg2SiO4 determined by in situ X-ray diffraction,” Phys. Chem. Miner. 33, 106–114 (2006).10.1007/s00269-005-0053-y
[68]	A. Chanyshev, T. Ishii, D. Bondar, S. Bhat, E. J. Kim et al., “Depressed 660-km discontinuity caused by akimotoite–bridgmanite transition,” Nature 601, 69–73 (2022).10.1038/s41586-021-04157-z
[69]	Y. Singh, “Electrical resistivity measurements: A review,” Int. J. Mod. Phys.: Conf. Ser. 22, 745–756 (2013).10.1142/s2010194513010970
[70]	T. Ishii, N. Miyajima, G. Criniti, Q. Hu, K. Glazyrin et al., “High pressure-temperature phase relations of basaltic crust up to mid-mantle conditions,” Earth Planet Sci. Lett. 584, 117472 (2022).10.1016/j.epsl.2022.117472
[71]	T. Katsura, “Phase relations of bridgmanite, the most abundant mineral in the Earth’s lower mantle,” Commun. Chem. 8, 28 (2025).10.1038/s42004-024-01389-8
[72]	Z. Liu, T. Irifune, M. Nishi, Y. Tange, T. Arimoto et al., “Phase relations in the system MgSiO3–Al2O3 up to 52 GPa and 2000 K,” Phys. Earth Planet. Inter. 257, 18–27 (2016).10.1016/j.pepi.2016.05.006
[73]	L. Gibson and M. F. Ashby, Cellular Solids Structure and Properties (Cambridge University Press, Cambridge, 1997).
[74]	L. J. Gibson, “Cellular solids,” MRS Bull. 28, 270–274 (2003).10.1557/mrs2003.79
[75]	D. Schulze, Powders and Bulk Solids: Behavior, Characterization, Storage and Flow (Springer-Verlag, Berlin, Heidelberg, 2008).
[76]	J. Betten, Creep Mechanics (Springer-Verlag, Berlin, Heidelberg, 2008).
[77]	J. Lubliner, Plasticity Theory (Macmillan Publishing Company, New York, 1990).
[78]	P. Perzyna, “Fundamental problems in viscoplasticity,” Adv. Appl. Mech. 9, 243–377 (1966).10.1016/s0065-2156(08)70009-7
[79]	J. Poirier, Creep of Crystals: High-Temperature Deformation Processes in Metals, Ceramics and Minerals (Cambridge University Press, 1985).
[80]	M. F. Ashby, “The deformation of plastically non-homogeneous materials,” Philos. Mag.: A J. Theor. Exp. Appl. Phys. 21, 399–424 (1970).10.1080/14786437008238426
[81]	G. Dieter, Mechanical Metallurgy (McGraw-Hill Book Company, 1961).
[82]	W. Findley, J. S. Lai, and K. Onaran, Creep and Relaxation of Nonlinear Viscoelastic Materials (Dover Publications, Inc., New York, 1976).
[83]	T. G. Langdon, “Grain boundary sliding revisited: Developments in sliding over four decades,” J. Mater. Sci. 41, 597–609 (2006).10.1007/s10853-006-6476-0
[84]	M. Meyers and K. Chawla, Mechanical Behavior of Materials (Cambridge University Press, 2008).
[85]	Y. Estrin and H. Mecking, “A unified phenomenological description of work hardening and creep based on one-parameter models,” Acta Metall. 32, 57–70 (1984).10.1016/0001-6160(84)90202-5
[86]	U. F. Kocks and H. Mecking, “Physics and phenomenology of strain hardening: The FCC case,” Prog. Mater. Sci. 48, 171–273 (2003).10.1016/s0079-6425(02)00003-8
[87]	H. Mecking and U. F. Kocks, “Kinetics of flow and strain-hardening,” Acta Metall. 29, 1865–1875 (1981).10.1016/0001-6160(81)90112-7
[88]	R. Hill, The Mathematical Theory of Plasticity (Oxford University Press, 1998).
[89]	J. H. Palm, “Stress-strain relations for uniaxial loading,” Flow, Turbul. Combust. 1, 198–214 (1949).10.1007/bf02120327
[90]	E. Voce, “The relationship between stress and strain for homogeneous deformation,” J. Inst. Met. 74, 537–562 (1948).
[91]	E. Voce, “A practical strain hardening function,” Metallurgia 51, 219–226 (1955).
[92]	P. Wu, Y. Xu, and Y. Lin, “A novel rapid cooling assembly design in a high-pressure cubic press apparatus,” Matter Radiat. Extremes 9, 027402 (2024).10.1063/5.0176025
[93]	O. Degtyareva, M. I. McMahon, and R. J. Nelmes, “High-pressure structural studies of group-15 elements,” High Pressure Res. 24, 319–356 (2004).10.1080/08957950412331281057
[94]	S. Ono and T. Kikegawa, “Phase transition of ZnS at high pressures and temperatures,” Phase Transitions 91, 9–14 (2018b).10.1080/01411594.2017.1350958
[95]	S. Desgreniers, L. Beaulieu, and I. Lepage, “Pressure-induced structural changes in ZnS,” Phys. Rev. B 61, 8726 (2000).10.1103/physrevb.61.8726
[96]	G. A. Samara and H. G. Drickamer, “Pressure induced phase transitions in some II–VI compounds,” J. Phys. Chem. Solid. 23, 457–461 (1962).10.1016/0022-3697(62)90086-0
[97]	J. Z. Jiang, L. Gerward, D. Frost, R. Secco, J. Peyronneau et al., “Grain-size effect on pressure-induced semiconductor-to-metal transition in ZnS,” J. Appl. Phys. 86, 6608–6610 (1999).10.1063/1.371631
[98]	S. B. Qadri, E. F. Skelton, A. D. Dinsmore, J. Z. Hu, W. J. Kim et al., “The effect of particle size on the structural transitions in zinc sulfide,” J. Appl. Phys. 89, 115–119 (2001).10.1063/1.1328066
[99]	Y. Ge, S. Ma, C. You, K. Hu, C. Liu et al., “A distinctive HPHT platform with different types of large-volume press subsystems at SECUF,” Matter Radiat. Extremes 9, 063801 (2024).10.1063/5.0205477
[100]	K. Hu, R. Liu, S. Liu, B. Feng, S. Wang et al., “A rapid compression large-volume press with a high pressure jump above 10 GPa within milliseconds,” Rev. Sci. Instrum. 95, 103905 (2024).10.1063/5.0226018
[101]	D. Ren and H. Li, “Pressure calibration of large-volume press: A case study of hinged 6–8 type large-volume high-pressure apparatus,” Front. Earth Sci. 10, 851813 (2022).10.3389/feart.2022.851813
[102]	A. Onodera, A. Ohtani, S. Tsuduki, and O. Shimomura, “Synchrotron X-ray diffraction study of ZnTe at high pressure,” Solid State Commun. 145, 374–378 (2008).10.1016/j.ssc.2007.11.020
[103]	X. Cui, T. Hu, J. Yang, Y. Han, Y. Li et al., “The electrical properties of ZnTe under high pressure and moderate temperature,” Phys. Status Solidi C 8, 1676–1679 (2011).10.1002/pssc.201000609
[104]	A. Ohtani, M. Motobayashi, and A. Onodera, “Polymorphism of ZnTe at elevated pressure,” Phys. Lett. 75, 435–437 (1980).10.1016/0375-9601(80)90866-x
[105]	S. V. Ovsyannikov and V. V. Shchennikov, “Phase transitions investigation in ZnTe by thermoelectric power measurements at high pressure,” Solid State Commun. 132, 333–336 (2004).10.1016/j.ssc.2004.07.062
[106]	S. R. Tiong, M. Hiramatsu, Y. Matsushima, and E. Ito, “The phase transition pressures of zincsulfoselenide single crystals,” Jpn. J. Appl. Phys. 28, 291–292 (1989).10.1143/jjap.28.291
[107]	A. Kubo and M. Akaogi, “Post-garnet transitions in the system Mg4Si4O12–Mg3Al2Si3O12 up to 28 GPa: Phase relations of garnet, ilmenite and perovskite,” Phys. Earth Planet. Inter. 121, 85–102 (2000).10.1016/s0031-9201(00)00162-x
[108]	Z. Liu, M. Nishi, T. Ishii, H. Fei, N. Miyajima et al., “Phase relations in the system MgSiO3–Al2O3 up to 2300 K at lower mantle pressures,” J. Geophys. Res.: Solid Earth 122, 7775–7788, (2017).10.1002/2017jb014579
[109]	T. Irifune, T. Koizumi, and J.-i. Ando, “An experimental study of the garnet-perovskite transformation in the system MgSiO3–Mg3Al2Si3O12,” Phys. Earth Planet. Inter. 96, 147–157 (1996).10.1016/0031-9201(96)03147-0
[110]	Z. Liu, R. Liu, Y. Shang, F. Shen, L. Chen et al., “Aluminum solubility in bridgmanite up to 3000 K at the top lower mantle,” Geosci. Front. 12, 929–935 (2021).10.1016/j.gsf.2020.04.009
[111]	L. Wang, Z. Liu, S. Koizumi, T. B. Ballaran, and T. Katsura, “Aluminum components in bridgmanite coexisting with corundum and the CF‐Phase with temperature,” J. Geophys. Res.: Solid Earth 128, e2022JB025739, (2023).10.1029/2022jb025739
[112]	K. Wada, T. Yagi, H. Gotou, R. Iizuka, M. Kawakami et al., “Development of new WC-Ni hardmetals for use in high pressure experiments,” High Press. Res. 35, 123–139 (2015).10.1080/08957959.2015.1035717
[113]	A. Shatskiy, T. Katsura, K. D. Litasov, A. V. Shcherbakova, Y. M. Borzdov et al., “High pressure generation using scaled-up Kawai-cell,” Phys. Earth Planet. Inter. 189, 92–108 (2011).10.1016/j.pepi.2011.08.001
[114]	N. Soga and O. Anderson, “High‐temperature elastic properties of polycrystalline MgO and Al2O3,” J. Am. Ceram. Soc. 49, 355–359 (1966).10.1111/j.1151-2916.1966.tb13283.x
[115]	A. J. Stewart, W. Van Westrenen, M. W. Schmidt, and E. Melekhova, “Effect of gasketing and assembly design: A novel 10/3.5 mm multi-anvil assembly reaching perovskite pressures,” High Pressure Res. 26, 293–299 (2006).10.1080/08957950600835237