The DOI matches its Crossref record; 9 of the 9 references it cites were found in a registry or an index.
Quasicrystals: A New Class of Ordered Structures
Open accessAbstract
A quasicrystal is the natural extension of the notion of a crystal to structures with quasiperiodic, rather than periodic, translational order. We classify two- and three-dimensional quasicrystals by their symmetry under rotation and show that many disallowed crystal symmetries are allowed quasicrystal symmetries. We analytically compute the diffraction pattern of an ideal quasicrystal and show that the recently observed electron-diffraction pattern of an Al-Mn alloy is closely related to that of an icosahedral quasicrystal.
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Citations
Cites
Metallic Phase with Long-Range Orientational Order and No Translational Symmetry
Shechtman, D., Blech, I., Gratias, D., & Cahn, J. W. (1984) · Physical Review Letters · doi:10.1103/physrevlett.53.1951 · Cited by 7,060
Bond-orientational order in liquids and glasses
Steinhardt, P. J., Nelson, D. R., & Ronchetti, M. (1983) · Physical Review B · doi:10.1103/physrevb.28.784 · Cited by 3,475
Self-citationDislocation-mediated melting in two dimensions
Nelson, D. R., & Halperin, B. I. (1979) · Physical Review B · doi:10.1103/physrevb.19.2457 · Cited by 2,385
Complex alloy structures regarded as sphere packings. I. Definitions and basic principles
Frank, F. C., & Kasper, J. S. (1958) · Acta Crystallographica · doi:10.1107/s0365110x58000487 · Cited by 1,272
Frank, F. C., & Kasper, J. S. (1959) · Acta Crystallographica · doi:10.1107/s0365110x59001499 · Cited by 893
Icosahedral Bond Orientational Order in Supercooled Liquids
Steinhardt, P. J., Nelson, D. R., & Ronchetti, M. (1981) · Physical Review Letters · doi:10.1103/physrevlett.47.1297 · Cited by 412
Self-citationGardner, M. (1977) · Scientific American · doi:10.1038/scientificamerican0177-110 · Cited by 380
Renormalization-group analysis of the discrete quasiperiodic Schrödinger equation
Ostlund, S., & Pandit, R. (1984) · Physical Review B · doi:10.1103/physrevb.29.1394 · Cited by 305
Liquids and Glasses in Spaces of Incommensurate Curvature
Nelson, D. R. (1983) · Physical Review Letters · doi:10.1103/physrevlett.50.982 · Cited by 184
Research works printed but not linked: 4
- D. R. Nelson, 1983, Phys. Rev. B, 28, 5515, 10.1103/PhysRevB.28.5515 · doi:10.1103/physrevb.28.5515
- R. Penrose, 1974, Bull Inst. Maths. Its Appl., 10, 266
- B. Grunbaum, Tilings and Patterns
- A. L. Mackay, 1982, Physica (Utrecht), 114A, 609
Cited by
Lederer, F., Stegeman, G. I., Christodoulides, D. N., Assanto, G., Segev, M., & Silberberg, Y. (2008) · Physics Reports · doi:10.1016/j.physrep.2008.04.004 · Cited by 1,180
Anderson localization of light
Segev, M., Silberberg, Y., & Christodoulides, D. N. (2013) · Nature Photonics · doi:10.1038/nphoton.2013.30 · Cited by 813
Critical wave functions and a Cantor-set spectrum of a one-dimensional quasicrystal model
Kohmoto, M., Sutherland, B., & Tang, C. (1987) · Physical Review B · doi:10.1103/physrevb.35.1020 · Cited by 732
Quasicrystals. I. Definition and structure
Levine, D., & Steinhardt, P. J. (1986) · Physical Review B · doi:10.1103/physrevb.34.596 · Cited by 708
Self-citationSelf‐Assembled Photonic Structures
Galisteo‐López, J. F., Ibisate, M., Sapienza, R., Froufe‐Pérez, L. S., Blanco, Á., & López, C. (2011) · Advanced Materials · doi:10.1002/adma.201000356 · Cited by 668
Metadata
- Authors
- Levine, D., & Steinhardt, P. J.
- Venue
- Physical Review Letters
- Publisher
- American Physical Society (APS)
- Published
- 1984-12-24
- Volume
- 53
- Issue
- 26
- Pages
- 2477-2480
- ISSN
- 0031-9007 (ISSN-L)
- OpenAlex
- W1974775577
- Cited by
- 2,100
- References
- 9
- FWCI
- 161.80
- Type
- journal article
- Language
- en
- Open access
- bronze
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- Levine, D., & Steinhardt, P. J. (1984). Quasicrystals: A New Class of Ordered Structures. Physical Review Letters. https://doi.org/10.1103/physrevlett.53.2477
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
