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High Pressure Research
An International Journal
Volume 30, 2010 - Issue 3
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REVIEW ARTICLE

Crystal structure of simple metals at high pressures

Pages 343-371 | Received 13 Jul 2010, Accepted 14 Jul 2010, Published online: 08 Sep 2010

References

  • Young , D. A. 1991 . Phase Diagrams of the Elements , Berkeley, CA : University of California Press .
  • Dubrovinsky , L. , Dubrovinskaia , N. , Crichton , W. A. , Mikhaylushkin , A. S. , Simak , S. I. , Abrikosov , I. A. , de Almeida , J. S. , Ahuja , R. , Luo , W. and Johansson , B. 2007 . Noblest of all metals is structurally unstable at high pressure . Phys. Rev. Lett. , 98 : 045503-1 – 4 .
  • Ma , Y. , Eremets , M. , Oganov , A. R. , Xie , Y. , Trojan , I. , Medvedev , S. , Lyakhov , A. O. , Valle , M. and Prakapenka , V. 2009 . Transparent dense sodium . Nature , 458 : 182 – 185 .
  • Schwartz , U. 2004 . Metallic high-pressure modifications of main group elements . Z. Kristallogr. , 219 : 376 – 390 .
  • Tonkov , E. Yu. and Ponyatovsky , E. G. 2005 . Phase Transformations of Elements under High Pressure , Boca Raton, FL : CRC Press .
  • McMahon , M. I. and Nelmes , R. J. 2006 . High-pressure structures and phase transformations in elemental metals . Chem. Soc. Rev. , 35 : 943 – 963 .
  • Degtyareva , V. F. 2006 . Simple metals at high pressures: The Fermi sphere – Brillouin zone interaction model . Phys. Uspekhi , 49 : 369 – 388 .
  • Cunningham , N. C. , Qiu , W. , Hope , K. M. , Liermann , H.-P. and Vohra , Y. K. 2007 . Symmetry lowering under high pressure: Structural evidence for f-shell delocalization in heavy rare earth metal terbium . Phys. Rev. B , 76 : 212101-1 – 4 .
  • Errandonea , D. , Boehler , R. , Schwager , B. and Mezouar , M. 2007 . Structural studies of gadolinium at high pressure and temperature . Phys. Rev. B , 75 : 014103-1 – 6 .
  • Pravica , M. , Quine , Z. and Romano , E. 2007 . X-ray diffraction study of elemental thulium at pressures up to 86 GPa . Phys. Rev. B , 74 : 104107-1 – 2 .
  • Shen , Y. R. , Kumar , R. S. , Cornelius , A. L. and Nicol , M. F. 2007 . High-pressure structural studies of dysprosium using angle-dispersive x-ray diffraction . Phys. Rev. B , 75 : 064109-1 – 9 .
  • Evans , S. R. , Loa , I. , Lundegaard , L. F. and McMahon , M. I. 2009 . Phase transitions in praseodymium up to 23 GPa: An x-ray powder diffraction study . Phys. Rev. B , 80 : 134105-1 – 12 .
  • Goncharov , A. F. , Gregoryanz , E. , Hemley , R. J. and Mao , H.-K. 2003 . Molecular character of the metallic high-pressure phase of oxygen . Phys. Rev. B , 68 : 100102(R)-1 – 4 .
  • Pearson , W. B. 1964; . Handbook of Lattice Spacings and Structures of Metals, Vol. 1 , Oxford : Pergamon Press . W.B. Pearson, Handbook of Lattice Spacings and Structures of Metals, Vol. 2, Pergamon Press, Oxford, 1967
  • Hanfland , M. , Schwarz , U. , Syassen , K. and Takemura , K. 1999 . Crystal structure of the high-pressure phase silicon VI . Phys. Rev. Lett. , 82 : 1197 – 1200 .
  • Schwarz , U. , Takemura , K. , Hanfland , M. and Syassen , K. 1998 . Crystal structure of cesium-V . Phys. Rev. Lett. , 81 : 2711 – 2714 . Figure 2 reproduced with permission from the APS: readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this material may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society
  • Degtyareva , V. F. , Degtyareva , O. and Allan , D. R. 2003 . Ordered Si-VI-type crystal structure in BiSn alloy under high pressure . Phys. Rev. B , 67 : 212105-1 – 4 .
  • Degtyareva , V. F. 2000 . Crystal structure of a high-pressure phase in Bi-based alloys related to Si VI . Phys. Rev. B , 62 : 9 – 12 .
  • Degtyareva , O. , McMahon , M. I. and Nelmes , R. J. 2004 . Pressure-induced incommensurate-to-incommensurate phase transition in antimony . Phys. Rev. B , 70 : 184119-1 – 5 .
  • Degtyareva , O. , McMahon , M. I. and Nelmes , R. J. 2004 . High-pressure structural studies of group-15 elements . High Press. Res. , 24 : 319 – 356 .
  • Schwarz , U. , Akselrud , L. , Rosner , H. , Ormeci , A. and Grin , Yu. 2003 . Structure and stability of the modulated phase Sb-II . Phys. Rev. B , 67 : 214101-1 – 7 .
  • McMahon , M. I. , Degtyareva , O. and Nelmes , R. J. 2000 . Ba-IV-type incommensurate crystal structure in group-V metals . Phys. Rev. Lett. , 85 : 4896 – 4899 .
  • McMahon , M. I. , Degtyareva , O. , Nelmes , R. J. , van Smaalen , S. and Palatinus , L. 2007 . Incommensurate modulations of Bi-III and Sb-II . Phys. Rev. B , 75 : 184114-1 – 5 .
  • Degtyareva , O. 2003 . “ X-ray diffraction studies of complex high-pressure phases of Bi, Sb, As, and Ga ” . University of Edinburgh . PhD thesis
  • Akahama , Y. , Kobayashi , M. and Kawamura , H. 1999 . Simple-cubic–simple-hexagonal transition in phosphorus under pressure . Phys. Rev. B , 59 : 8520 – 8525 .
  • Ehlers , F. J.H. and Christensen , N. E. 2004 . Phosphorus Ba-IV-type under pressure: Structure as a candidate for P-IV . Phys. Rev. B , 69 : 214112-1 – 9 .
  • Ishikawa , T. , Nagara , H. , Kusakabe , K. and Suzuki , N. 2006 . Determining the structure of phosphorus in phase IV . Phys. Rev. Lett. , 96 : 095502-1 – 4 .
  • Fujihisa , H. , Akahama , Y. , Kawamura , H. , Ohishi , Y. , Gotoh , Y. , Yamawaki , H. , Sakashita , M. , Takeya , S. and Honda , K. 2007 . Incommensurate structure of phosphorus phase IV . Phys. Rev. Lett. , 98 : 175501-1 – 4 .
  • Akahama , Y. , Kawamura , H. , Carlson , S. , Le Bihan , T. and Haüsermann , D. 2000 . Structural stability and equation of state of simple-hexagonal phosphorus to 280 GPa: Phase transition at 262 GPa . Phys. Rev. B , 61 : 3139 – 3142 .
  • Eremets , M. , Gavriliuk , A. G. , Trojan , I. A. , Dzivenko , D. A. and Boehler , R. 2004 . Single-bonded cubic form of nitrogen . Nat. Mater. , 3 : 558 – 563 .
  • Donohue , J. 1982 . The Structure of the Elements , Malabar, FL : Robert E. Krieger .
  • Liu , L. G. and Bassett , W. A. 1986 . Elements, Oxides, and Silicate: High-Pressure Phases with Implications for the Earth's Interior , New York : Oxford University Press .
  • Tonkov , E. Yu. 1992 . High Pressure Phase Transformations. A Handbook , Vol. 1 and 2 , Philadelphia, PA : Gordon and Breach .
  • Fujihisa , H. , Akahama , Y. , Kawamura , H. , Yamawaki , H. , Sakashita , M. , Yamada , T. , Honda , K. and Le Bihan , T. 2004 . Spiral chain structure of high pressure selenium-II and sulfur-II from powder x-ray diffraction . Phys. Rev. B , 70 : 134106-1 – 4 .
  • Degtyareva , O. , Gregoryanz , E. , Somayazulu , M. , Dera , P. , Mao , H.-K. and Hemley , R. J. 2005 . Novel chain structures in group VI elements . Nat. Mater. , 4 : 152 – 155 .
  • Crapanzano , L. , Crichton , W. A. , Monaco , G. , Bellissent , R. and Mezouar , M. 2005 . Alternating sequence of ring and chain structures in sulphur at high pressure and temperature . Nat. Mater. , 4 : 550 – 552 .
  • Hejny , C. , Lundegaard , L. F. , Falconi , S. , McMahon , M. I. and Hanfland , M. 2005 . Incommensurate sulfur above 100 GPa . Phys. Rev. B , 71 : 020101(R)-1 – 4 .
  • Degtyareva , O. , Gregoryanz , E. , Somayazulu , M. , Mao , H.-K. and Hemley , R. J. 2005 . Crystal structure of the superconducting phases of S and Se . Phys. Rev. B , 71 : 214104-1 – 6 .
  • Crichton , W. A. , Vaughan , G. B.M. and Mezouar , M. 2001 . In situ structure solution of helical sulfur at 3 GPa and 400C . Z. Kristallogr. , 216 : 417 – 419 .
  • Degtyareva , O. , Hernández , E. R. , Serrano , J. , Somayazulu , M. , Mao , H.-K. , Gregoryanz , E. and Hemley , R. J. 2007 . Vibrational dynamics and stability of the high-pressure chain and ring phases in S and Se . J. Chem. Phys. , 126 : 084503-1 – 11 .
  • Struzhkin , V. V. , Hemley , R. J. , Mao , H.-K. and Timofeev , Y. A. 1997 . Superconductivity at 10–17K in compressed sulphur . Nature , 390 : 382 – 384 .
  • Hejny , C. and McMahon , M. I. 2003 . Large structural modulations in incommensurate Te-III and Se-IV . Phys. Rev. Lett. , 91 : 215502-1 – 4 .
  • Hejny , C. and McMahon , M. I. 2004 . Complex crystal structures of Te-II and Se-III at high pressure . Phys. Rev. B , 70 : 184109-1 – 5 .
  • Degtyareva , O. , Magnitskaya , M. V. , Kohanoff , J. , Profeta , G. , Scandolo , S. , Hanfland , M. , McMahon , M. I. and Gregoryanz , E. 2007 . Competition of charge-density waves and superconductivity in sulfur . Phys. Rev. Lett. , 99 : 155505-1 – 4 .
  • Sanloup , C. , Gregoryanz , E. , Degtyareva , O. and Hanfland , M. 2007 . Structural Transition in Compressed Amorphous Sulfur . Phys. Rev. Lett. , 100 : 075701-1 – 4 .
  • Takemura , K. , Kyoko , S. , Hiroshi , F. and Onoda , M. 2003 . Modulated structure of solid iodine during its molecular dissociation under high pressure . Nature , 423 : 971 – 974 .
  • Takemura , K. , Kyoko , S. , Hiroshi , F. and Onoda , M. 2004 . Structural phase transitions in iodine under high pressure . Z. Kristallogr. , 219 : 749 – 754 .
  • Syassen , K. Simple Metals at High Pressures . Proceedings of the International School of Physics “High Pressure Phenomena” . pp. 251 – 273 . Amsterdam : IOS .
  • Hanfland , M. , Syassen , K. , Christensen , N. E. and Novikov , D. L. 2000 . New high-pressure phases of lithium . Nature , 408 : 174 – 178 .
  • McMahon , M. I. , Gregoryanz , E. , Lundegaard , L. F. , Loa , I. , Guillaume , C. , Nelmes , R. J. , Kleppe , A. K. , Amboage , M. , Wilhelm , H. and Jephcoat , A. P. 2007 . Structure of sodium above 100 GPa by single-crystal x-ray diffraction . Proc. Natl Acad. Sci. USA , 104 : 17297 – 17299 .
  • Gregoryanz , E. , Degtyareva , O. , Somayazulu , M. , Mao , H.-K. and Hemley , R. J. 2005 . Melting of dense sodium . Phys. Rev. Lett. , 94 : 185502-1 – 4 .
  • Gregoryanz , E. , Lundegaard , L. F. , McMahon , M. I. , Guillaume , C. , Nelmes , R. J. and Mezouar , M. 2008 . Structural diversity of sodium . Science , 320 : 1054 – 1057 .
  • Lundegaard , L. F. , Gregoryanz , E. , McMahon , M. I. , Guillaume , C. , Loa , I. and Nelmes , R. J. 2009 . Single-crystal studies of incommensurate Na to 1.5 Mbar . Phys. Rev. B , 79 : 064105-1 – 5 .
  • McMahon , M. I. , Rekhi , S. and Nelmes , R. J. 2001 . Pressure dependent incommensuration in Rb-IV . Phys. Rev. Lett. , 87 : 055501-1 – 4 .
  • McMahon , M. I. , Nelmes , R. J. , Schwarz , U. and Syassen , K. 2006 . Composite incommensurate K-III and a commensurate form: Study of a high-pressure phase of potassium . Phys. Rev. B , 74 : 140102(R)-1 – 4 .
  • Lundegaard , L. F. , Marqués , M. , Stinton , G. , Ackland , G. J. , Nelmes , R. J. and McMahon , M. I. 2009 . Observation of the oP8 crystal structure in potassium at high pressure . Phys. Rev. B , 80 : 020101(R)-1 – 4 .
  • Marqués , M. , Ackland , G. J. , Lundegaard , L. F. , Stinton , G. , Nelmes , R. J. and McMahon , M. I. 2009 . Potassium under pressure: A pseudobinary ionic compound . Phys. Rev. Lett. , 103 : 115501-1 – 4 .
  • Kittel , C. 1995 . Introduction to Solid State Physics , Canada : John Wiley & Sons .
  • Degtyareva , V. F. and Degtyareva , O. 2009 . Structure stability in the simple element sodium under pressure . New J. Phys. , 11 : 063037-1 – 16 .
  • Matsuoka , T. and Shimizu , K. 2009 . Direct observation of a pressure-induced metal-to-semiconductor transition in lithium . Nature , 458 : 186 – 189 .
  • Lazicki , A. , Goncharov , A. F. , Struzhkin , V. V. , Cohen , R. E. , Liu , Z. , Gregoryanz , E. , Guillaume , C. , Mao , H.-K. and Hemley , R. J. 2009 . Anomalous optical and electronic properties of dense sodium . PNAS , 106 : 6525 – 6528 .
  • Christensen , N. E. and Novikov , D. L. 2001 . High-pressure phases of the light alkali metals . Solid State Commun. , 119 : 477 – 490 .
  • Maksimov , E. G. , Magnitskaya , M. V. and Fortov , V. E. 2005 . Non-simple behavior of simple metals at high pressure . Phys. Uspekhi , 48 : 761 – 780 .
  • Neaton , J. B. and Ashcroft , N. W. 2001), pp . On the constitution of sodium at higher densities . Phys. Rev. Lett. , 86 : 014102-1 – 5 .
  • Katsnelson , M. I. , Sinko , G. V. , Smirnov , N. A. , Trefilov , A. V. and Khromov , K. Yu. 2000 . Structure, elastic moduli, and thermodynamics of sodium and potassium at ultrahigh pressures . Phys. Rev. B , 61 : 14420 – 14424 .
  • Neaton , J. B. and Ashcroft , N. W. 1999 . Pairing in dense lithium . Nature , 400 : 141 – 144 .
  • Ma , Y. , Oganov , A. R. and Xie , Y. 2008 . High-pressure structures of lithium, potassium, and rubidium predicted by an ab initio evolutionary algorithm . Phys. Rev. B , 78 : 2830 – 2833 .
  • Rousseau , R. , Uehara , K. , Klug , D. D. and Tse , J. S. 2005 . Phase stability and broken-symmetry transition of elemental lithium up to 140 GPa . ChemPhysChem , 6 : 1703 – 1706 .
  • Zhou , D. W. , Bao , G. , Ma , Y. M. , Cui , T. , Liu , B. B. and Zou , G. T. 2009 . Peierls transition in sodium under high pressure: A first-principles study . J. Phys. Condens. Matter , 21 : 025508-1 – 4 .
  • Pickard , C. J. and Needs , R. J. 2009 . Dense low-coordination phases of lithium . Phys. Rev. Lett. , 102 : 146401-1 – 4 .
  • Yao , Y. , Tse , J. S. and Klug , D. D. 2009 . Structures of insulating phases of dense lithium . Phys. Rev. Lett. , 102 : 115503-1 – 4 .
  • Gregoryanz , E. , Guillaume , C. , Lundegaard , L. F. , Degtyareva , O. , McMahon , M. I. , Nelmes , R. J. , Sinogeikin , S. and Guthrie , M. On the structures of the dense alkali metals . Talk at the SMEC Conference, Miami–Western Caribbean . March 28–April 2
  • Gatti , M. , Tokatly , I. V. and Rubio , A. 2010 . Sodium: A charge-transfer insulator at high pressures . Phys. Rev. Lett. , 104 : 216404-1 – 4 .
  • Grochala , W. , Hoffmann , R. , Feng , J. and Ashcroft , N. W. 2007 . The chemical imagination at work in very tight places . Angew. Chem. , 46 : 3620 – 3642 .
  • Hoffman , R. 2009 . The squeeze is on . Amer. Sci. , 97 : 108 – 111 .
  • Olijnyk , H. and Holzapfel , W. B. 1984 . Phase-transitions in alkaline-earth metals under pressure . Phys. Lett. A , 100 : 191 – 194 .
  • Fujihisa , H. , Nakamoto , Y. , Shimizu , K. , Yabuuchi , T. and Gotoh , Y. 2008 . Crystal structures of calcium IV and V under high pressure . Phys. Rev. Lett. , 101 : 095503-1 – 4 .
  • Ishikawa , T. , Ichikawa , A. , Nagara , H. , Geshi , M. , Kusakabe , K. and Suzuki , N. 2008 . Theoretical study of the structure of calcium in phases IV and V via ab initio metadynamics simulation . Phys. Rev. B , 77 : 020101(R)-1 – 4 .
  • Nakamoto , Y. , Sakata , M. , Shimizu , K. , Fujihisa , F. , Matsuoka , T. , Ohishi , Y. and Kikegawa , T. 2010 . Ca-VI: A high-pressure phase of calcium above 158 GPa . Phys. Rev. B , 81 : 140106(R)-1 – 4 .
  • Yao , Y. , Tse , J. S. , Song , Z. , Klug , D. D. , Sun , J. and Le Page , Y. 2008 . Structures and superconducting properties of the high-pressure IV and V phases of calcium from first principles . Phys. Rev. B , 78 : 054506-1 – 8 .
  • Teweldeberhan , A. M. and Bonev , S. A. 2008 . High-pressure phases of calcium and their finite-temperature phase boundaries . Phys. Rev. B , 78 : 140101(R)-1 – 4 .
  • Gao , G. , Xie , Y. , Cui , T. , Ma , Y. , Zhang , L. and Zou , G. 2008 . Electronic structures, lattice dynamics, and electron–phonon coupling of simple cubic Ca under pressure . Solid State Commun. , 146 : 181 – 185 .
  • Errea , I. , Martinez-Canales , M. , Oganov , A. R. and Bergara , A. 2008 . Fermi surface nesting and phonon instabilities in simple cubic calcium . High Press. Res. , 28 : 443 – 448 .
  • Gu , Q. F. , Krauss , G. , Grin , Yu. and Steurer , W. 2009 . Experimental confirmation of the stability and chemical bonding analysis of the high-pressure phases Ca-I, II, and III at pressures up to 52 GPa . Phys. Rev. B , 79 : 134121-1 – 6 .
  • Yao , Y. , Klug , D. D. , Sun , J. and Martonak , R. 2009 . Structural Prediction and Phase Transformation Mechanisms in Calcium at High Pressure . Phys. Rev. Lett. , 103 : 055503-1 – 4 .
  • Arapan , S. , Mao , H.-K. and Ahuja , R. 2008 . Prediction of incommensurate crystal structure in Ca at high pressure . Proc. Natl Acad. Sci. USA , 105 : 20627 – 20630 .
  • Qiu , S. L. and Marcus , P. M. 2009 . Phases of Ca from first principles . J. Phys. Condens. Matter , 21 : 435403-1 – 8 .
  • Yin , Z. P. , Gygi , F. and Pickett , W. E. 2009 . Competing phases, strong electron-phonon interaction, and superconductivity in elemental calcium under high pressure . Phys. Rev. B , 80 : 184515-1 – 7 .
  • Ishikawa , T. , Nagara , H. , Suzuki , N. , Tsuchiya , T. and Tsuchiya , J. 2010 . High-pressure phases of calcium: Prediction of phase VI and upper-pressure phases from first principles . Phys. Rev. B , 81 : 092104-1 – 4 .
  • Oganov , A. R. , Ma , Y. M. , Xu , Y. , Errea , I. , Bergara , A. and Lyakhov , A. O. 2010 . Exotic behavior and crystal structures of calcium under pressure . Proc. Natl Acad. Sci. USA , 107 : 7646 – 7651 .
  • Teweldeberhan , A. M. and Bonev , S. A. 2010 . Comment on “structural prediction and phase transformation mechanisms in calcium at high pressure” . Phys. Rev. Lett. , 104 : 209601-1
  • Yao , Y. , Klug , D. D. , Sun , J. and Martonak , R. 2010 . Comment on “structural prediction and phase transformation mechanisms in calcium at high pressure” reply . Phys. Rev. Lett. , 104 : 209602-1
  • Ishikawa , T. , Nagara , H. , Suzuki , N. , Tsuchiya , T. and Tsuchiya , J. 2010 . Review of high pressure phases of calcium by first-principles calculations . J. Phys. Conf. Ser. , 215 : 012105-1 – 6 .
  • Mao , W. L. , Wang , L. , Ding , Y. , Yang , W. G. , Liu , W. J. , Kim , D. Y. , Luo , W. , Ahuja , R. , Meng , Y. , Sinogeikin , S. , Shu , J. F. and Mao , H.-K. 2010 . Distortions and stabilization of simple-cubic calcium at high pressure and low temperature . Proc. Natl Acad. Sci. USA , 107 : 9965 – 9968 .
  • Nelmes , R. J. , Allan , D. R. , McMahon , M. I. and Belmonte , S. A. 1999 . Self-hosting incommensurate structure of barium IV . Phys. Rev. Lett. , 83 : 4081 – 4084 .
  • McMahon , M. I. , Bovornratanaraks , T. , Allan , D. R. , Belmonte , S. A. and Nelmes , R. J. 2000 . Observation of the incommensurate barium-IV structure in strontium phase V . Phys. Rev. B , 61 : 3135 – 3138 .
  • Bovornratanaraks , T. , Allan , D. R. , Belmonte , S. A. , McMahon , M. I. and Nelmes , R. J. 2006 . Complex monoclinic superstructure in Sr-IV . Phys. Rev. B , 73 : 144112-1 – 5 .
  • Phusittrakool , A. , Bovornratanaraks , T. , Ahuja , R. and Pinsook , U. 2008 . High pressure structural phase transitions in Sr from ab initio calculations . Phys. Rev. B , 77 : 174118-1 – 5 .
  • McMahon , M. I. and Nelmes , R. J. 2004 . Incommensurate crystal structures in the elements at high pressure . Z. Kristallogr. , 219 : 742 – 748 .
  • Janssen , T. , Janner , A. , Looijenga-Vos , A. and de Wolf , P. M. 2004 . “ Incommensurate and commensurate modulated structures ” . In International Tables for Crystallography, Vol. C Mathematical, Physical and Chemical Tables , 3 , Edited by: Prince , E. Netherlands : Springer . Sec. 9.8
  • van Smaalen , S. 1995 . Incommensurate crystal structures . Crystallogr. Rev. , 4 : 79 – 202 .
  • van Smaalen , S. 2007 . Incommensurate Crystallography , USA : Oxford University Press .
  • van Smaalen , S. 2004 . An elementary introduction to superspace crystallography . Z. Kristallogr. , 219 : 681 – 691 .
  • Petrı cek , V. and Dusek , M. 2004 . Methods of structural analysis and computer program JANA2000 . Z. Kristallogr. , 219 : 692 – 700 .
  • Sun , J. , Lee , S. and Lin , J. 2007 . Four-dimensional space groups for pedestrians: Composite structures . Chem. Asian J. , 2 : 1204 – 1229 .
  • Yabuuchi , T. , Matsuoka , T. , Nakamoto , Y. and Shimizu , K. 2006 . Superconductivity of Ca exceeding 25K at megabar pressures . J. Phys. Soc. Japan , 75 : 083703-1 – 3 .
  • Buzea , C. and Robbie , K. 2005 . Assembling the puzzle of superconducting elements: A review . Supercond. Sci. Technol. , 18 : R1 – R8 .
  • Schilling , J. S. and Hamlin , J. J. 2008 . Recent studies in superconductivity at extreme pressures . J. Phys. Conf. Ser. , 121 : 052006-1 – 12 .
  • McMahon , M. I. , Lundegaard , L. F. , Hejny , C. , Falconi , S. and Nelmes , R. J. 2006 . Different incommensurate composite crystal structure for Sc-II . Phys. Rev. B , 73 : 134102-1 – 4 .
  • McMahon , M. I. and Nelmes , R. J. 2004 . Chain “melting” in the composite Rb-IV structure . Phys. Rev. Lett. , 93 : 055501-1 – 4 .
  • Häussermann , U. , Degtyareva , O. , Mikhaylushkin , A. S. , Söderberg , K. , Simak , S. I. , McMahon , M. I. , Nelmes , R. J. and Norrestam , R. 2004 . Bi Sbx under high pressure: Effect of alloying on the incommensurate Bi-III type composite structure . Phys. Rev. B , 69 : 134203-1 – 10 .
  • Reed , S. K. and Ackland , G. J. 2000 . Theoretical and computational study of high pressure structures in barium . Phys. Rev. Lett. , 84 : 5580 – 5583 .
  • Häussermann , U. , Söderberg , K. and Norrestam , R. 2002 . Comparative study of the high-pressure behavior of As, Sb, and Bi . J. Amer. Chem. Soc. , 124 : 15359 – 15367 .
  • Ormeci , A. and Rosner , H. 2004 . Electronic structure and bonding in antimony and its high pressure phases . Z. Kristallogr. , 219 : 370 – 375 .
  • Ormeci , A. , Koepernik , K. and Rosner , H. 2006 . First-principles electronic structure study of Sc-II . Phys. Rev. B , 74 : 104119-1 – 5 .
  • Arapan , S. , Skorodumova , N. V. and Ahuja , R. 2009 . Determination of the structural parameters of an incommensurate phase from first principles: the case of Sc-II . Phys. Rev. Lett. , 102 : 085701-1 – 4 .
  • Wang , X. , Kunc , K. , Loa , I. , Schwarz , U. and Syassen , K. 2006 . Effect of pressure on the Raman modes of antimony . Phys. Rev. B , 74 : 134305-1 – 10 .
  • Degtyareva , O. , Struzhkin , V. V. and Hemley , R. J. 2007 . High-pressure Raman spectroscopy of antimony: As-type, incommensurate host-guest, and bcc phases . Solid State Commun. , 141 : 164 – 167 .
  • Loa , I. , Lundegaard , L. F. , McMahon , M. I. , Evans , S. R. , Bossak , A. and Krisch , M. 2007 . Lattice dynamics of incommensurate composite Rb-IV and a realization of the monatomic linear chain model . Phys. Rev. Lett. , 99 : 035501-1 – 4 .
  • Kume , T. , Hiraoka , T. , Ohya , Y. , Sasaki , S. and Shimizu , H. 2005 . High pressure Raman study of bromine and iodine: Soft phonon in the incommensurate phase . Phys. Rev. Lett. , 94 : 065506-1 – 4 .
  • Degtyareva , O. , McMahon , M. I. , Allan , D. R. and Nelmes , R. J. 2004 . Structural complexity in gallium under high pressure: Relation to alkali elements . Phys. Rev. Lett. , 93 : 205502-1 – 4 .
  • Perez-Mato , J. M. , Elcoro , L. , Aroyo , M. I. , Katzke , H. , Tolédano , P. and Izaola , Z. 2006 . Apparently complex high-pressure phase of gallium as a simple modulated structure . Phys. Rev. Lett. , 97 : 115501-1 – 4 .
  • Ackland , G. J. and Fox , H. 2005 . Total energy calculation for high pressure selenium: The origin of incommensurate modulations in Se IV and the instability of proposed Se II . J. Phys. Condens. Matter , 17 : 1851 – 1859 .
  • Duan , D. F. , Liu , Y. H. , Ma , Y. M. , Liu , Z. M. , Cui , T. , Liu , B. B. and Zou , G. T. 2007 . Ab initio studies of solid bromine under high pressure . Phys. Rev. B , 76 : 104113-1 – 8 .
  • Nishikawa , A. 2007 . Electronic structure of tellurium under high pressure . Phys. Status Solidi , 244 : 321 – 324 .
  • Ishikawa , T. , Nagara , H. , Mukose , K. , Kusakabe , K. , Miyagi , H. and Suzuki , N. 2008 . Charge-density waves, incommensurate modulations and superconductivity in phosphorus and iodine . High Press. Res. , 28 : 459 – 467 .
  • Marqués , M. , Ackland , G. J. , Lundegaard , L. F. , Falconi , S. , Hejny , C. , McMahon , M. I. , Contreras-García , J. and Hanfland , M. 2008 . Origin of incommensurate modulations in the high-pressure phosphorus IV phase . Phys. Rev. B , 78 : 054120-1 – 9 . Figure 4a reproduced with permission from the APS: readers may view, browse, and/or download material for temporary copying purposes only, provided these uses are for noncommercial personal purposes. Except as provided by law, this materials may not be further reproduced, distributed, transmitted, modified, adapted, performed, displayed, published, or sold in whole or part, without prior written permission from the American Physical Society
  • Loa , I. , McMahon , M. I. and Bosak , A. 2009 . Origin of the incommensurate modulation in Te-III and Fermi-surface nesting in a simple metal . Phys. Rev. Lett. , 102 : 035501-1 – 4 .
  • Nagara , H. , Mukose , K. , Ishikawa , T. , Geshi , M. and Suzuki , N. 2010 . Origin of the simple modulated structures and the pressure induced superconductivity . J. Phys. Conf. Ser. , 215 : 012107-1 – 5 .
  • San , X. , Wang , L. , Ma , Y. , Liu , Z. , Cui , T. , Liu , B. and Zou , G. 2008 . Theoretical calculations of phase transitions and optical properties of solid iodine under high pressures . J. Phys.: Condens. Matter , 20 : 175225-1 – 6 .
  • Kikegawa , T. and Iwasaki , H. 1983 . An X-ray diffraction study of lattice compression and phase transition of crystalline phosphorus . Acta Crystallogr. B , 39 : 184109-1 – 8 .
  • Hanfland , M. , Loa , I. and Syassen , K. 2002 . Sodium under pressure: bcc to fcc structural transition and pressure-volume relation to 100 GPa . Phys. Rev. B , 65 : 184109-1 – 8 .

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