IDEAS home Printed from https://ideas.repec.org/a/eee/phsmap/v140y1986i1p298-305.html
   My bibliography  Save this article

Formation of quasicrystals

Author

Listed:
  • Bendersky, Leonid A.
  • Schaefer, Robert J.

Abstract

It has recently been discovered that “quasicrystalline” intermetallic phases can form which have point group symmetries not allowed in periodic crystals; icosahedral, with six five-fold axes and decagonal, with one 10-fold axis. These phases have long-range orientational order, but they must have translational quasiperiodicity. They usually form at alloy compositions close to those of intermetallic compounds which have crystal structures containing icosahedral groups of atoms. The quasicrystal phases nucleate preferentially in supercooled melts, thus replacing the equilibrium phases.

Suggested Citation

  • Bendersky, Leonid A. & Schaefer, Robert J., 1986. "Formation of quasicrystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 298-305.
    • Handle: RePEc:eee:phsmap:v:140:y:1986:i:1:p:298-305
    DOI: 10.1016/0378-4371(86)90235-9
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/0378437186902359
    Download Restriction: Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000
    File URL: https://libkey.io/10.1016/0378-4371(86)90235-9?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Pantula, Sastry G. & Fuller, Wayne A., 1985. "Mean estimation bias in least squares estimation of autoregressive processes," Journal of Econometrics, Elsevier, vol. 27(1), pages 99-121, January.
    2. Cahn, Anne H., 1984. "Mimicking Sisyphys: America's Countervailing Nuclear Strategy. By Louis Rene Beres. (Lexington, Mass.: D.C. Heath, 1983. Pp. xiii + 142. $19.95, cloth; $7.95, paper.)," American Political Science Review, Cambridge University Press, vol. 78(1), pages 265-265, March.
    3. Grossbard-Shechtman, Amyra, 1986. "Economics, Judaism, and Marriage (in Hebrew)," MPRA Paper 81301, University Library of Munich, Germany.
    4. Serge Dubost, 1986. "Zones franches dans les économies en voie de développement : quelle industrialisation ?," Revue d'Économie Industrielle, Programme National Persée, vol. 37(1), pages 31-39.
    5. Baudier Edmond, 1985. "Jeux cohérents," CEPREMAP Working Papers (Couverture Orange) 8512, CEPREMAP.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Anselmo, D.H.A.L. & Dantas, A.L. & Medeiros, S.K. & Albuquerque, E.L. & Freire, V.N., 2005. "Localization and fractal spectra of optical phonon modes in quasiperiodic structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 349(1), pages 259-270.
    2. Iochum, B. & Raymond, L. & Testard, D., 1992. "Resistance of one-dimensional quasicrystals," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 187(1), pages 353-368.
    3. Bezerra, C.G. & Albuquerque, E.L., 1997. "Spin waves in quasi-periodic magnetic superlattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 245(3), pages 379-392.
    4. Baake, M. & Klitzing, R. & Schlottmann, M., 1992. "Fractally shaped acceptance domains of quasiperiodic square-triangle tilings with dedecagonal symmetry," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 191(1), pages 554-558.
    5. Tanja Krone & Casper J. Albers & Marieke E. Timmerman, 2017. "A comparative simulation study of AR(1) estimators in short time series," Quality & Quantity: International Journal of Methodology, Springer, vol. 51(1), pages 1-21, January.
    6. de Oliveira, P.M.C. & Albuquerque, E.L. & Mariz, A.M., 1996. "Transmission fingerprints of quasi-periodic chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 227(3), pages 206-212.
    7. van den Berg, G., 1986. "Small-sample properties of estimators of the autocorrelation coefficient," Other publications TiSEM 03414dd6-10fa-4f48-a742-e, Tilburg University, School of Economics and Management.
    8. Arriaga, J. & Velasco, V.R., 1997. "Electronic properties of semiconductor Fibonacci quasi-periodic superlattices," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 241(1), pages 377-381.
    9. Patterson, K. D., 2000. "Bias reduction in autoregressive models," Economics Letters, Elsevier, vol. 68(2), pages 135-141, August.
    10. Kawamura, Hikaru, 1991. "Entropy of the random triangle-square tiling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 177(1), pages 73-78.
    11. Babalievski, Filip V., 1992. "Percolation conductivity of Penrose tiling by the transfer-matrix Monte Carlo method," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 182(3), pages 325-330.

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:phsmap:v:140:y:1986:i:1:p:298-305. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.journals.elsevier.com/physica-a-statistical-mechpplications/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.