A historical review is presented on the experimental and theoretical studies on Zn under high pressure. Based on our high-pressure powder x-ray diffraction experiments that have been done for nearly a decade, we describe the structural change of Zn up to 126 GPa at room temperature. Although several experimental and theoretical studies indicated an anomalous change of the c/a axial ratio with pressure, we found no such an anomaly within our experimental uncertainty. Our high-pressure low-temperature experiments up to 18 GPa at 40 K also gave no evidence of the c/a anomaly. We suspect that the pressure-transmitting media played an important role in producing the anomaly. The structural anisotropy of Zn is drastically reduced at high pressures, which would be a general trend for hexagonal close-packed (hcp) metals.
Haynes, W.M. (2012) CRC Handbook of Chemistry and Physics. 93rd Edition, CRC Press, Boca Raton, FL.
Donohue, J. (1974) The Structures of the Elements. John Wiley & Sons Ltd., New York.
Schulte, O. and Holzapfel, W.B. (1988) A New Structure of Mercury under Pressure. Physics Letters A, 131, 38-40.
Takemura, K., Nakano, S., Ohishi, Y., Nakamoto, Y. and Fujihisa, H. (2015) High-Pressure Structural Study of Solid Mercury up to 200 GPa. Materials Research Express, 2, Article ID: 016502. https://doi.org/10.1088/2053-1591/2/1/016502
Alers, G.A. and Neighbours, J.R. (1958) The Elastic Constants of Zinc between 4.2° and 670° K. Journal of Physics and Chemistry of Solids, 7, 58-64. https://doi.org/10.1016/0022-3697(58)90180-X
McCammon, R.D. and White, G.K. (1965) Thermal Expansion at Low Temperatures of Hexagonal Metals: Mg, Zn and Cd. The Philosophical Magazine, 11, 1125-1134. https://doi.org/10.1080/14786436508224923
Bridgman, P.W. (1941) Compressions and Polymorphic Transitions of Seventeen Elements to 100,000 kg/cm2. Physical Review, 60, 351-354. https://doi.org/10.1103/PhysRev.60.351
Vaidya, S.N. and Kennedy, G.C. (1970) Compressibility of 18 Metals to 45 kbar. Journal of Physics and Chemistry of Solids, 31, 2329-2345. https://doi.org/10.1016/0022-3697(70)90247-7
McQueen, R.G. and Marsh, S.P. (1960) Equation of State for Nineteen Metallic Elements from Shock-Wave Measurements to Two Megabars. Journal of Applied Physics, 31, 1253-1269. https://doi.org/10.1063/1.1735815
Al’tshuler, L.A., Bakanova, A.A. and Trunin, R.F. (1962) Shock Adiabats and Zero Isotherms of Seven Metals at High Pressure. Soviet Physics JETP, 15, 65-74.
Akella, J., Ganguly, J., Grover, R. and Kennedy, G. (1973) Melting of Lead and Zinc to 60 kbar. Journal of Physics and Chemistry of Solids, 34, 631-636. https://doi.org/10.1016/S0022-3697(73)80168-4
Errandonea, D., MacLeod, S.G., Ruiz-Fuertes, J., Burakovsky, L., McMahon, M.I., Wilson, C.W., Ibanez, J., Daisenberger, D. and Popescu, C. (2018) High-Pressure/High-Temperature Phase Diagram of Zinc. Journal of Physics: Condensed Matter, 30, Article ID: 295402. https://doi.org/10.1088/1361-648X/aacac0
Gaidukov, Y.P. and Itskevich, E.S. (1964) Effect of Pressure on the Fermi Surfaces of Zinc and Cadmium. Soviet Physics JETP, 18, 51-58.
Schirber, J.E. (1965) Effect of Pressure and Magnetic Field on the Connectivity of the Fermi Surface of Zinc. Physical Review, 140, A2065-A2075. https://doi.org/10.1103/PhysRev.140.A2065
O’Sullivan, W.J. and Schirber, J.E. (1966) Pressure Dependence of the Low-Frequency de Haas—Van Alphen Oscillations in Zn. Physical Review, 151, 484-494. https://doi.org/10.1103/PhysRev.151.484
Lynch, R.W. and Drickamer, H.G. (1965) The Effect of Pressure on the Resistance and Lattice Parameters of Cadmium and Zinc. Journal of Physics and Chemistry of Solids, 26, 63-68. ttps://doi.org/10.1016/0022-3697(65)90073-9
Garg, A.B., Vijayakumar, V., Modak, P., Gaitonde, D.M., Rao, R.S., Godwal, B.K. and Sikka, S.K. (2002) High-Pressure Resistance and Equation-of-State Anomalies in Zn: A Possible Lifshitz Transition. Journal of Physics: Condensed Matter, 14, 8795-8802. https://doi.org/10.1088/0953-8984/14/38/304
McWhan, D.B. (1965) Compressibility of Cadmium and Zinc to 100 kbar. Journal of Applied Physics, 36, 664-665. https://doi.org/10.1063/1.1714059
Schulte, O., Nikolaenko, A. and Holzapfel, W.B. (1991) Pressure-Volume Relations for Zn, Cd, Ga, In and Tl at Room Temperature to 30 GPa and above. High Pressure Research, 6, 169-182.
Takemura, K. (1995) Zn under Pressure: A Singularity in the hcp Structure at c/a = . Physical Review Letters, 75, 1807-1810. https://doi.org/10.1103/PhysRevLett.75.1807
Schulte, O. and Holzapfel, W.B. (1996) Effect of Pressure on the Atomic Volume of Zn Cd, and Hg up to 75 GPa. Physical Review B, 53, 569-580. https://doi.org/10.1103/PhysRevB.53.569
Takemura, K. (1997) Structural Study of Zn and Cd to Ultrahigh Pressures. Physical Review B, 56, 5170-5179. https://doi.org/10.1103/PhysRevB.56.5170
Takemura, K. (1999) Absence of the c/a Anomaly in Zn under High Pressure with a Helium-Pressure Medium. Physical Review B, 60, 6171-6174. https://doi.org/10.1103/PhysRevB.60.6171
Takemura, K., Yamawaki, H., Fujihisa, H. and Kikegawa, T. (2002) Axial Ratio of Zn at High Pressure and Low Temperature. Physical Review B, 65, Article ID: 132107. https://doi.org/10.1103/PhysRevB.65.132107
Takemura, K., Yamawaki, H., Fujihisa, H. and Kikegawa, T. (2002) High-Pressure Powder X-ray Diffraction Experiments on Zn at Low Temperature. Journal of Physics: Condensed Matter, 14, 10563-10568. https://doi.org/10.1088/0953-8984/14/44/333
Takemura, K., Yamawaki, H., Fujihisa, H. and Kikegawa, T. (2002) High-Pressure X-ray Studies of Zn at Room and Low Temperatures with a He-Pressure Medium. High Pressure Research, 22, 337-341. https://doi.org/10.1080/08957950212816
Potzel, W., Steiner, M., Karzel, H., Schiessl, W., Kofferlein, M., Kalvius, G.M. and Blaha, P. (1995) Electronically Driven Soft Modes in Zinc Metal. Physical Review Letters, 74, 1139-1142. https://doi.org/10.1103/PhysRevLett.74.1139
Steiner, M., Potzel, W., Karzel, H., Schiessl, W., Kofferlein, M., Kalvius, G.M. and Blaha, P. (1996) Electronic Topological Transition in Zinc Metal at High External Pressure. Journal of Physics: Condensed Matter, 8, 3581-3599. https://doi.org/10.1088/0953-8984/8/20/006
Morgan, J.G., Von Dreele, R.B., Wochner, P. and Shapiro, S.M. (1996) Inelastic Neutron Scattering from Single Crystal Zn under High Pressure. Physical Review B, 54, 812-818. https://doi.org/10.1103/PhysRevB.54.812
Klotz, S., Braden, M. and Besson, J.M. (1998) Is There an Electronic Topological Transition in Zinc under High Pressure? Physical Review Letters, 81, 1239-1242. https://doi.org/10.1103/PhysRevLett.81.1239
Olijnyk, H. (1992) Raman Scattering in Metals up to 50 GPa. High Pressure Research, 10, 461-464. https://doi.org/10.1080/08957959208201457
Olijnyk, H., Jephcoat, A.P., Novikov, D.L. and Christensen, N.E. (2000) Pressure Shift of the Zone-Center TO Mode of Zn. Physical Review B, 62, 5508-5512. https://doi.org/10.1103/PhysRevB.62.5508
Aquilanti, G., Trapananti, A., Minicucci, M., Liscio, F., Twaróg, A., Principi, E. and Pascarelli, S. (2007) Electronic Topological Transition in Zinc under Pressure: An X-ray Absorption Spectroscopy Study. Physical Review B, 76, Article ID: 144102. https://doi.org/10.1103/PhysRevB.76.144102
Goodenough, J.B. (1953) A Theory of the Deviation from Close Packing in Hexagonal Metal Crystals. Physical Review, 89, 282-294. https://doi.org/10.1103/PhysRev.89.282
Lifshitz, I.M. (1960) Anomalies of Electron Characteristics of a Metal in the High Pressure Region. Soviet Physics JETP, 11, 1130-1135.
Takemura, K. (2001) Evaluation of the Hydrostaticity of a Helium-Pressure Medium with Powder X-Ray Diffraction Techniques. Journal of Applied Physics, 89, 662-668. https://doi.org/10.1063/1.1328410
Piermarini, G.J., Block, S. and Barnett, J.D. (1973) Hydrostatic Limits in Liquids and Solids to 100 kbar. Journal of Applied Physics, 44, 5377-5382. https://doi.org/10.1063/1.1662159
Nakamura, Y., Fujishiro, I. and Taniguchi, K. (1991) Hysteresis of Ruby Fluorescent Line by Pressure and Annealing Effect. High Pressure Research, 6, 301-307. https://doi.org/10.1080/08957959108203215
Bell P.M. and Mao, H.K. (1981) Degrees of Hydrostaticity in He, Ne, and Ar Pressure-Transmitting Media. Carnegie Institution of Washington Yearbook, 80, 404-406.
Mao, H.K., Bell, P.M., Shaner, J.W. and Steinberg, D.J. (1978) Specific Volume Measurements of Cu, Pd, and Ag and Calibration of the Ruby R1 Fluorescence Pressure Gauge from 0.06 to 1 Mbar. Journal of Applied Physics, 49, 3276-3283. https://doi.org/10.1063/1.325277
Zha, C.-S., Mao, H.-K. and Hemley, R.J. (2000) Elasticity of MgO and a Primary Pressure Scale to 55 GPa. Proceedings of the National Academy of Sciences of the United States of America, 97, 13494-13499. https://doi.org/10.1073/pnas.240466697
Owen, E.A. and Yates, E.L. (1934) The Thermal Expansion of the Crystal Lattices of Silver, Platinum, and Zinc. Philosophical Magazine, 17, 113-131. https://doi.org/10.1080/14786443409462374
Reimann, K. (1996) Two- and Three-Photon Spectroscopy of Solids under High Pressure. High Pressure Research, 15, 73-93. https://doi.org/10.1080/08957959608240462
Vinet, P., Ferrante, J., Rose, J.H. and Smith, J.R. (1987) Compressibility of Solids. Journal of Geophysical Research, 92, 9319-9325. https://doi.org/10.1029/JB092iB09p09319
Takemura, K. and Singh, A.K. (2006) High-Pressure Equation of State for Nb with a Helium-Pressure Medium: Powder X-Ray Diffraction Experiments. Physical Review B, 73, Article ID: 224119. https://doi.org/10.1103/PhysRevB.73.224119
Meenakshi, S., Vijayakumar, V., Godwal, B.K. and Sikka, S.K. (1992) Distorted HCP Structure of Zinc under Pressure. Physical Review B, 46, 14359-14361. https://doi.org/10.1103/PhysRevB.46.14359
Fast, L., Ahuja, R., Nordstrom, L., Wills, J.M., Johansson, B. and Eriksson, O. (1997) Anomaly in c/a Ratio of Zn under Pressure. Physical Review Letters, 79, 2301-2303. https://doi.org/10.1103/PhysRevLett.79.2301
Novikov, D.L., Freeman, A.J., Christensen, N.E., Svane, A. and Rodriguez, C.O. (1997) LDA Simulations of Pressure-Induced Anomalies in c/a and Electric-Field Gradients for Zn and Cd. Physical Review B, 56, 7206-7214. https://doi.org/10.1103/PhysRevB.56.7206
Novikov, D.L., Katsnelson, M.I., Trefilov, A.V., Freeman, A.J., Christensen, N.E., Svane, A. and Rodriguez, C.O. (1999) Anisotropy of Thermal Expansions and Electronic Topological Transitions in Zn and Cd under Pressure. Physical Review B, 59, 4557-4560. https://doi.org/10.1103/PhysRevB.59.4557
Li, Z. and Tse, J.S. (2000) Phonon Anomaly in High-Pressure Zn. Physical Review Letters, 85, 5130-5133. https://doi.org/10.1103/PhysRevLett.85.5130
Steinle-Neumann, G., Stixrude, L. and Cohen, R.E. (2001) Absence of Lattice Strain Anomalies at the Electronic Topological Transition in Zinc at High Pressure. Physical Review B, 63, Article ID: 054103. https://doi.org/10.1103/PhysRevB.63.054103
Kechin, V.V. (2001) Electronic Topological Transitions in Zn under Compression. Physical Review B, 63, Article ID: 045119. https://doi.org/10.1103/PhysRevB.63.045119
Rao, R.S., Modak, P. and Godwal, B.K. (2001) Comment on “Phonon Anomaly in High-Pressure Zn”. Physical Review Letters, 87, Article ID: 259601. https://doi.org/10.1103/PhysRevLett.87.259601
Li, Z. and Tse, J.S. (2001) Li and Tse Reply. Physical Review Letters, 87, Article ID: 2596021. https://doi.org/10.1103/PhysRevLett.87.259602
Qiu, S.L. and Marcus, P.M. (2003) First-Principles Derivation of Structural Anomalies in hcp Zn and hcp Fe under Pressure. Journal of Physics: Condensed Matter, 15, L755-L761. https://doi.org/10.1088/0953-8984/15/50/L02
Qiu, S.L., Apostol, F. and Marcus, P.M. (2004) Structural Anomalies in HCP Metals under Pressure: Zn and Cd. Journal of Physics: Condensed Matter, 16, 6405-6414. https://doi.org/10.1088/0953-8984/16/36/007.
Qiu, S.L., Apostol, F. and Marcus, P.M. (2005) Pressure Dependence of the TO Phonon Frequency in HCP Zn. Journal of Physics: Condensed Matter, 17, 2121-2128. https://doi.org/10.1088/0953-8984/17/13/010
Wedig, U., Jansen, M., Paulus, B., Rosciszewski, K. and Sony, P. (2007) Structural and Electronic Properties of Mg, Zn, and Cd from Hartree-Fock and Density Functional Calculations Including Hybrid Functionals. Physical Review B, 75, Article ID: 205123. https://doi.org/10.1103/PhysRevB.75.205123
Gaston, N., Paulus, B., Wedig, U. and Jansen, M. (2008) Multiple Minima on the Energy Landscape of Elemental Zinc: A Wave Function Based Ab Initio Study. Physical Review Letters, 100, Article ID: 226404. https://doi.org/10.1103/PhysRevLett.100.226404
Gaston, N., Andrae, D., Paulus, B., Wedig, U. and Jansen, M. (2010) Understanding the hcp Anisotropy in Cd and Zn: The Role of Electron Correlation in Determining the Potential Energy Surface. Physical Chemistry Chemical Physics, 12, 681-687. https://doi.org/10.1039/B915967C
Pratesi, G., Di Cicco, A., Minicucci, M. and Itiè, J.-P. (2005) Anomalies in the Structure of Solid Cd under Pressure: An X-ray Diffraction Study. Journal of Physics: Condensed Matter, 17, 2625-2632. https://doi.org/10.1088/0953-8984/17/17/010
Occelli, F., et al. (2004) Experimental Evidence for a High-Pressure Isostructural Phase Transition in Osmium. Physical Review Letters, 93, Article ID: 095502. https://doi.org/10.1103/PhysRevLett.93.095502
Dubrovinsky, L., et al. (2015) The Most Incompressible Metal Osmium at Static Pressures above 750 Gigapascals. Nature, 525, 226-229. https://doi.org/10.1038/nature14681
Takemura, K. (1994) High-Pressure Structural Study of Barium to 90 GPa. Physical Review B, 50, 16238-16246. https://doi.org/10.1103/PhysRevB.50.16238
Massalski, T.B. (1962) Lattice Spacing Trends in Close-Packed Hexagonal Phases Based on the Noble Metals. Le Journal de Physique et le Radium, 23, 647-654.