DOI: 10.1038/nmat2987. Rotation-reversal symmetries in crystals and handed structures

Rotation-reversal symmetries in crystals and handed structures

10.1038/nmat2987

Crossref journal-article

Springer Science and Business Media LLC

Nature Materials (297)

Bibliography

Gopalan, V., & Litvin, D. B. (2011). Rotation-reversal symmetries in crystals and handed structures. Nature Materials, 10(5), 376â381.

Authors 2

Venkatraman Gopalan (first)
Daniel B. Litvin (additional)

References 30 Referenced 93

Newnham, R. E. Properties of Materials: Anisotropy, Symmetry, Structure (Oxford Univ. Press, 2005). / Properties of Materials: Anisotropy, Symmetry, Structure by RE Newnham (2005)
Burns, G. & Glazer, A. M. Space Groups for Solid State Scientists (Academic, 1990). / Space Groups for Solid State Scientists by G Burns (1990)
Koptsik, V. A. Outline of the development of the theory of symmetry and its application in physical crystallography during 50 years. Krystallografiya 12, 755–774 (1967). / Krystallografiya by VA Koptsik (1967)
Opechowski, W. Crystallographic and Metacrystallographic Groups (North-Holland, 1986). / Crystallographic and Metacrystallographic Groups by W Opechowski (1986)
Birss, R.R. Symmetry and Magnetism (North-Holland, 1964). / Symmetry and Magnetism by RR Birss (1964)
Campbell, B. J., Stokes, H. T., Tanner, D. E. & Hatch, D. M. ISODISPLACE: A web-based tool for exploring structural distortions. J. Appl. Crystallogr. 39, 607–614 (2006). (10.1107/S0021889806014075) / J. Appl. Crystallogr. by BJ Campbell (2006)
Orobengoa, D., Capillas, C., Aroyoa, M. I. & Perez-Mato, J. M. AMPLIMODES: Symmetry-mode analysis on the Bilbao crystallographic server. J. Appl. Crystallogr. 42, 820–833 (2009). (10.1107/S0021889809028064) / J. Appl. Crystallogr. by D Orobengoa (2009)
Perez-Mato, J. M., Orobengoa, D. & Aroyo, M. I. Mode crystallography of distorted structures. Acta Crystallogr. A 66, 558–590 (2010). (10.1107/S0108767310016247) / Acta Crystallogr. A by JM Perez-Mato (2010)
Denev, S. et al. Magnetic colour symmetry of lattice rotations in a diamagnetic material. Phys. Rev. Lett. 100, 257601 (2008). (10.1103/PhysRevLett.100.257601) / Phys. Rev. Lett. by S Denev (2008)
Zamorzaev, A. M. & Palistrant, A. F. Antisymmetry, its generalizations and geometrical applications. Z. Kristallogr. 151, 230–248 (1980). / Z. Kristallogr. by AM Zamorzaev (1980)
Zamorzaev, A. M. The Theory of Simple and Multiple Antisymmetry (Kishinev. Shtiintsa, 1976). / The Theory of Simple and Multiple Antisymmetry by AM Zamorzaev (1976)
Schmid, H. Some symmetry aspects of ferroics and single phase multiferroics. J. Phys. Condens. Matter 20, 434201 (2008). (10.1088/0953-8984/20/43/434201) / J. Phys. Condens. Matter by H Schmid (2008)
Glazer, A. M. The classification of tilted octahedra in perovskites. Acta Crystallogr. B 28, 3384–3392 (1972). (10.1107/S0567740872007976) / Acta Crystallogr. B by AM Glazer (1972)
Perez-Mato, J. M., Orobengoa, D., Aroyo, M. I. & Elcoro, L. Modes vs. modulations: Symmetry-mode analysis of commensurate modulated structures compared with the superspace method. J. Phys. Conf. Ser. 226, 012011 (2010). (10.1088/1742-6596/226/1/012011) / J. Phys. Conf. Ser. by JM Perez-Mato (2010)
Ederer, C. & Spaldin, N. Weak ferromagnetism and magnetoelectric coupling in bismuth ferrite. Phys. Rev. B 71, 060401 (2005). (10.1103/PhysRevB.71.060401) / Phys. Rev. B by C Ederer (2005)
Vainshtein, B. K. Diffraction of X-rays by Chain Molecules (Elsevier, 1966). / Diffraction of X-rays by Chain Molecules by BK Vainshtein (1966)
Hargittai, I. & Pickover, C. A. Spiral Symmetry (World Scientific Publishing, 2000). / Spiral Symmetry by I Hargittai (2000)
Nye, J. F. Physical Properties of Crystals: Their Representation by Tensors and Matrices (Clarendon, 1985). / Physical Properties of Crystals: Their Representation by Tensors and Matrices by JF Nye (1985)
Haun, M. J., Furman, E., Halemane, T. R. & Cross, L. E. Ferroelectrics 99, 55–62 (1989). (10.1080/00150198908221439) / Ferroelectrics by MJ Haun (1989)
Bousquet, E. et al. Improper ferroelectricity in perovskite oxide artificial superlattices. Nature 452, 732–736 (2008). (10.1038/nature06817) / Nature by E Bousquet (2008)
Fennie, C. J. Ferroelectrically induced weak ferromagnetism by design. Phys. Rev. Lett. 100, 167203 (2008). (10.1103/PhysRevLett.100.167203) / Phys. Rev. Lett. by CJ Fennie (2008)
Fennie, C. J. & Rabe, K. M. Ferroelectric transition in YMnO3 from first principles. Phys. Rev. B 72, 100103 (2005). (10.1103/PhysRevB.72.100103) / Phys. Rev. B by CJ Fennie (2005)
Hatt, A. J. & Spaldin, N. A. Structural phases of strained LaAlO3 driven by octahedral tilt instabilities. Phys. Rev. B 82, 195402 (2010). (10.1103/PhysRevB.82.195402) / Phys. Rev. B by AJ Hatt (2010)
Wadhawan, V. K. Introduction to Ferroic Materials 203–210 (Gordon and Breach Science Publishers, 2000). (10.1201/9781482283051) / Introduction to Ferroic Materials by VK Wadhawan (2000)
Ji, N. & Shen, Y-R. A novel spectroscopic probe for molecular chirality. Chirality 18, 146–158 (2006). (10.1002/chir.20238) / Chirality by N Ji (2006)
Van Aken, B. B., Rivera, J-P., Schmid, H. & Fiebig, M. Observation of ferrotoroidic domains. Nature 449, 702–705 (2007). (10.1038/nature06139) / Nature by BB Van Aken (2007)
Subramanian, M. A., Ramirez, A. P. & Marshall, W. J. Structural tuning of ferromagnetism in a 3D cuprate perovskite. Phys. Rev. Lett. 82, 1558–1561 (1999). (10.1103/PhysRevLett.82.1558) / Phys. Rev. Lett. by MA Subramanian (1999)
Srinivasarao, M. Chirality and polymers. Curr. Opin. Colloid Interface Sci. 4, 370–376 (1999). (10.1016/S1359-0294(00)00014-5) / Curr. Opin. Colloid Interface Sci. by M Srinivasarao (1999)
Blundell, T. L. & Srinivasan, N. Symmetry, stability, and dynamics of multidomain and multicomponent protein systems. Proc. Natl Acad. Sci. USA 93, 14243–14248 (1996). (10.1073/pnas.93.25.14243) / Proc. Natl Acad. Sci. USA by TL Blundell (1996)
Mackay, T. G. & Lakhtakia, A. Negatively refracting chiral metamaterials: Review. SPIE Rev. 1, 18003 (2010). / SPIE Rev. by TG Mackay (2010)

Dates

Type	When
Created	14 years, 4 months ago (April 3, 2011, 12:54 p.m.)
Deposited	3 years, 1 month ago (July 6, 2022, 3:46 p.m.)
Indexed	2 weeks, 5 days ago (Aug. 6, 2025, 8:31 a.m.)
Issued	14 years, 4 months ago (April 3, 2011)
Published	14 years, 4 months ago (April 3, 2011)
Published Online	14 years, 4 months ago (April 3, 2011)
Published Print	14 years, 3 months ago (May 1, 2011)

Funders 0

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BibTeX

@article{Gopalan_2011, title={Rotation-reversal symmetries in crystals and handed structures}, volume={10}, ISSN={1476-4660}, url={http://dx.doi.org/10.1038/nmat2987}, DOI={10.1038/nmat2987}, number={5}, journal={Nature Materials}, publisher={Springer Science and Business Media LLC}, author={Gopalan, Venkatraman and Litvin, Daniel B.}, year={2011}, month=apr, pages={376–381} }

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          5
        ]
      ]
    }
  },
  "alternative-id": [
    "BFnmat2987"
  ],
  "URL": "http://dx.doi.org/10.1038/nmat2987",
  "relation": {},
  "ISSN": [
    "1476-1122",
    "1476-4660"
  ],
  "subject": [],
  "container-title-short": "Nature Mater",
  "published": {
    "date-parts": [
      [
        2011,
        4,
        3
      ]
    ]
  },
  "assertion": [
    {
      "value": "20 September 2010",
      "order": 1,
      "name": "received",
      "label": "Received",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "11 February 2011",
      "order": 2,
      "name": "accepted",
      "label": "Accepted",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "3 April 2011",
      "order": 3,
      "name": "first_online",
      "label": "First Online",
      "group": {
        "name": "ArticleHistory",
        "label": "Article History"
      }
    },
    {
      "value": "The authors declare no competing financial interests.",
      "order": 1,
      "name": "Ethics",
      "group": {
        "name": "EthicsHeading",
        "label": "Competing interests"
      }
    }
  ]
}