Advanced search
Publication Cover
Philosophical Magazine A Volume 77, 1998 - Issue 3
Journal homepage
55
Views
35
CrossRef citations to date
0
Altmetric
Original Articles

Structure and phason energetics of Al-Co decagonal phases

Eric Cockayne Department of Applied Physics, Yale University, PO Box 208284, New Haven, Connecticut, 06520-8284, USA
&
Mike Widom Department of Physics, Carnegie-Mellon University, Pittsburgh, Pennsylvania, 15217, USA
Pages 593-619 | Received 09 Apr 1997, Accepted 30 Jun 1997, Published online: 12 Aug 2009

Citations (35)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (7)

S. Lim, M. Mihalkovič & C.L. Henley. (2008) Penrose matching rules from realistic potentials in a model system. Philosophical Magazine 88:13-15, pages 1977-1984.
Read now
N. Gu, M. Mihalkovič & C. L. Henley. (2007) Energy-based structure prediction for d(Al70Co20Ni10). Philosophical Magazine Letters 87:12, pages 923-933.
Read now
C. L. Henley. (2006) Clusters, phason elasticity and entropic stabilization: a theoretical perspective. Philosophical Magazine 86:6-8, pages 1123-1129.
Read now
M. Mihalkovič & M. Widom. (2006) Tile decoration model of the W-(Al–Co–Ni) approximant. Philosophical Magazine 86:3-5, pages 557-565.
Read now
N. Gu, C. L. Henley & M. Mihalkovič. (2006) Co-rich decagonal Al–Co–Ni: predicting structure, orientational order and puckering. Philosophical Magazine 86:3-5, pages 593-599.
Read now
S. Deloudi , M. Kobas & W. Steurer. (2006) 5D Modelling of decagonal Al–Co–Ni based on the W-approximant. Philosophical Magazine 86:3-5, pages 581-585.
Read now
Walter Steurer. (2001) Structural relationships between decagonal Al-Co-Ni and its approximants. Ferroelectrics 250:1, pages 377-380.
Read now

Articles from other publishers (28)

Michael Widom & Marek Mihalkovič. (2023) Quasicrystal Structure Prediction: A Review. Israel Journal of Chemistry.
Crossref
Zhanbing He, Yihan Shen, Haikun Ma, Junliang Sun, Xiuliang Ma, Hua Li & Walter Steurer. (2020) Quasicrystal-related mosaics with periodic lattices interlaid with aperiodic tiles. Acta Crystallographica Section A Foundations and Advances 76:2, pages 137-144.
Crossref
Zhanbing He, Hua Li, Haikun Ma & Xiuliang Ma. (2019) Hexagonal structural block consisting of 2 nm decagonal clusters in Al60Cr20Fe10Si10 alloy. Journal of Alloys and Compounds 788, pages 685-689.
Crossref
D. Kandaskalov, V. Fournée, J. Ledieu & É. Gaudry. (2017) Catalytic Semihydrogenation of Acetylene on the (100) Surface of the o-Al 13 Co 4 Quasicrystalline Approximant: Density Functional Theory Study . The Journal of Physical Chemistry C 121:34, pages 18738-18745.
Crossref
Zhanbing He, Hua Li, Haikun Ma & Guowu Li. (2017) Multiple quasicrystal approximants with the same lattice parameters in Al-Cr-Fe-Si alloys. Scientific Reports 7:1.
Crossref
Zhanbing He, Dongxia Wei, Xi Shen, Yuan Chen, Haikun Ma, Leilei Wang, Kui Du, Yuan Yao & Richeng Yu. (2015) Approximants of Al–Cr–Fe–Si decagonal quasicrystals described by single structural block. Journal of Alloys and Compounds 647, pages 797-801.
Crossref
D. Kandaskalov, V. Fournée, J. Ledieu & É. Gaudry. (2014) Adsorption Properties of the o -Al 13 Co 4 (100) Surface toward Molecules Involved in the Semihydrogenation of Acetylene . The Journal of Physical Chemistry C 118:40, pages 23032-23041.
Crossref
Rico Berthold, Guido Kreiner, Ulrich Burkhardt, Stefan Hoffmann, Gudrun Auffermann, Yurii Prots, Enkhtsetseg Dashjav, Altangerel Amarsanaa & Marek Mihalkovic. (2013) Crystal structure and phase stability of the Φ phase in the Al–Mg–Zn system. Intermetallics 32, pages 259-273.
Crossref
R. Addou, E. Gaudry, Th. Deniozou, M. Heggen, M. Feuerbacher, P. Gille, Yu. Grin, R. Widmer, O. Gröning, V. Fournée, J.-M. Dubois & J. Ledieu. (2009) Structure investigation of the (100) surface of the orthorhombic crystal . Physical Review B 80:1.
Crossref
Volodymyr Smetana, Volodymyr Babizhetskyy, Constantin Hoch & Arndt Simon. (2007) Icosahedral Li clusters in the structures of Li33.3Ba13.1Ca3 and Li18.9Na8.3Ba15.3. Journal of Solid State Chemistry 180:11, pages 3302-3309.
Crossref
Volodymyr Smetana, Volodymyr Babizhetskyy, Grigori V. Vajenine, Constantin Hoch & Arndt Simon. (2007) Double-Icosahedral Li Clusters in a New Binary Compound Ba 19 Li 44 :  A Reinvestigation of the Ba−Li Phase Diagram . Inorganic Chemistry 46:13, pages 5425-5428.
Crossref
M. Mihalkovič & M. Widom. (2007) First-principles calculations of cohesive energies in the binary alloy system . Physical Review B 75:1.
Crossref
Petra Gummelt. (2006) Decagon covering model and equivalent HBS -tiling model . Zeitschrift für Kristallographie - Crystalline Materials 221:8, pages 582-588.
Crossref
Guy Trambly de Laissardière, Duc Nguyen-Manh & Didier Mayou. (2005) Electronic structure of complex Hume-Rothery phases and quasicrystals in transition metal aluminides. Progress in Materials Science 50:6, pages 679-788.
Crossref
S. B. Rochal & Y. A. Kozinkina. (2005) Theory of the defect-free phason strain in quasicrystals. Physical Review B 72:2.
Crossref
S. Naidu, M. Mihalkovič & M. Widom. (2005) Atomic surface occupancy of decagonal AlNiCo. Physical Review B 71:22.
Crossref
Walter Steurer. (2004) Twenty years of structure research on quasicrystals. Part I. Pentagonal, octagonal, decagonal and dodecagonal quasicrystals. Zeitschrift für Kristallographie - Crystalline Materials 219:7, pages 391-446.
Crossref
Petra Gummelt. (2004) Random cluster covering model. Journal of Non-Crystalline Solids 334-335, pages 62-67.
Crossref
Keiichi Edagawa. 2003. Coverings of Discrete Quasiperiodic Sets. Coverings of Discrete Quasiperiodic Sets 227 256 .
K Edagawa, K Suzuki & S Takeuchi. (2002) HRTEM observation of phason flips in Al–Cu–Co decagonal quasicrystal. Journal of Alloys and Compounds 342:1-2, pages 271-277.
Crossref
M. Mihalkovič, H. Elhor & J.-B. Suck. (2001) Atomic dynamics in Al-rich Al-Co alloys near the composition of the decagonal quasicrystal. Physical Review B 63:21.
Crossref
C.L. Henley, V. Elser & M. Mihalkovic. (2000) Structure determinations for random-tiling quasicrystals. Zeitschrift für Kristallographie - Crystalline Materials 215:10, pages 553-568.
Crossref
Mike Widom, Ibrahim Al-Lehyani & John A. Moriarty. (2000) First-principles interatomic potentials for transition-metal aluminides. III. Extension to ternary phase diagrams. Physical Review B 62:6, pages 3648-3657.
Crossref
Walter Steurer. (2011) Approximants — the Key to the Structure of Quasicrystals. MRS Proceedings 643.
Crossref
E. Cockayne. 2000. From Quasicrystals to More Complex Systems. From Quasicrystals to More Complex Systems 115 143 .
. (1999) Comparing different approaches to model the atomic structure of a ternary decagonal quasicrystal. Zeitschrift für Kristallographie - Crystalline Materials 214:9, pages 501-505.
Crossref
Mike Widom & John A. Moriarty. (1998) First-principles interatomic potentials for transition-metal aluminides. II. Application to Al-Co and Al-Ni phase diagrams. Physical Review B 58:14, pages 8967-8979.
Crossref
Eric Cockayne & Mike Widom. (1998) Ternary Model of an Al-Cu-Co Decagonal Quasicrystal. Physical Review Letters 81:3, pages 598-601.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.