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Acta Crystallographica. Section A

Foundations of Crystallography

Short Title: Acta Crystallogr., Sect. A
Publisher: Wiley (Wiley-Blackwell), Oxford; International Union of Crystallography
ISSN: 0108-7673; 2053-2733/e
Online: https://onlinelibrary.wiley.com/loi/S20532733
https://journals.iucr.org/a/services/archive.html
Predecessor: Acta Crystallographica
Comments: Journal; Published electronic only as of Vol. 70 (2014). Print ISSN until then: 0108-7673
Documents Indexed: 587 Publications (since 1973)
References Indexed: 142 Publications with 3,658 References.
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Authors

22 O’Keeffe, Michael
21 Litvin, Daniel B.
20 Koch, Elke
19 Veysseyre, Renee
18 Weigel, Dominique
17 Delgado-Friedrichs, Olaf
17 Fischer, Werner
15 Phan, Thérèse
15 Voytekhovsky, Yury L.
13 Sowa, Heidrun
12 Eon, Jean-Guillaume
11 Giacovazzo, Carmelo
11 Janner, Aloysio
11 Stepenshchikov, Dmitry G.
10 Kopsky, Vojtech Jaroslav
8 Billiet, Yves
8 Grimmer, Hans
8 Hyde, Stephen T.
8 Millane, Rick P.
7 Gruber, Bruno J.
7 Janssen, Ted
7 Nespolo, Massimo
6 Campbell, Branton J.
6 Cascarano, Giovanni Luca
6 Kudlicki, Andrzej
6 Otwinowski, Zbyszek
6 Souvignier, Bernd
6 Whittaker, E. J. W.
6 Wolny, Janusz
5 Blatov, Vladislav A.
5 Brosius, J. Eric
5 Carrozzini, Benedetta
5 Engel, Peter
5 Gratias, Denis
5 Hornfeck, Wolfgang
5 Jablan, Slavik Vlado
5 Knop, Osvald
5 Kramer, Peter
5 Mermin, N. David
5 Proserpio, Davide M.
5 Saka, Takashi
5 Stokes, Harold T.
5 Stróż, Kazimierz
5 Szajewska, Marzena
5 Wondratschek, Hans
4 Burla, Maria Cristina
4 Cayron, Cyril
4 Cervellino, Antonio
4 Chirikjian, Gregory S.
4 de las Penas, Ma. Louise Antonette N.
4 Gopalan, Venkatraman
4 Kozakowski, Bartlomiej
4 Lifshitz, Ron
4 Patera, Jiří
4 Polidori, Giampiero
4 Quiquandon, Marianne
4 Rowicka, Małgorzata
4 Rutherford, John S.
4 Shmueli, Uri
4 Sivardière, Jean
4 Twarock, Reidun
4 VanLeeuwen, Brian Kevin
4 Yaghi, Omar M.
4 Yamamoto, Akiji
4 Zanzotto, Giovanni
3 Andries, K. J.
3 Arnal, Romain D.
3 Aroyo, Mois Ilia
3 Baake, Michael
3 Baburin, Igor A.
3 Ben-Abraham, Shelomo I.
3 Bodner, Mark
3 Clark, Dean S.
3 Comunale, Giuliana
3 de Wolff, Pieter Maarten
3 Dub, P.
3 Felix, Rene P.
3 Fewster, Paul F.
3 Fuksa, Jiří
3 Hauptman, Herbert A.
3 Janovec, V.
3 Khadiev, Azat
3 Khalitov, Zufar
3 Koç, Ramazan
3 Koca, Mehmet
3 Koca, Nazife Ozdes
3 Krivovichev, Sergey V.
3 Litzman, Otto
3 Mazzone, Annamaria
3 Moreira de Oliveira, Montauban jun.
3 Oishi-Tomiyasu, Ryoko
3 Plévert, J.
3 Rius, Jordi
3 Spence, John C. H.
3 Steurer, Walter
3 Suryanarayan, E. R.
3 Varn, D. P.
3 Vlachavas, D. S.
3 Weiss, George-Herbert
3 Whittaker, R. M.
...and 583 more Authors

Publications by Year

Citations contained in zbMATH Open

220 Publications have been cited 705 times in 433 Documents Cited by Year
On periodic and nonperiodic space fillings of \(\mathbb E^m\) obtained by projection. Zbl 1176.52010
Kramer, P.; Neri, R.
37
1984
Crystallographic algorithms and tables. Zbl 1176.20051
Opgenorth, J.; Plesken, W.; Schulz, T.
19
1998
Bilbao crystallographic server. II: Representations of crystallographic point groups and space groups. Zbl 1370.82009
Aroyo, Mois I.; Kirov, Asen; Capillas, Cesar; Perez-Mato, J. M.; Wondratschek, Hans
13
2006
Representation of orientation and disorientation data for cubic, hexagonal, tetragonal and orthorhombic crystals. Zbl 1188.82100
Heinz, A.; Neumann, P.
11
1991
The diffraction pattern of projected structures. Zbl 1176.52006
Elser, Veit
11
1986
Optical properties of X-rays – dynamical diffraction. Zbl 1284.82006
Authier, André
11
2012
Fascinating quasicrystals. Zbl 1370.82128
Steurer, Walter; Deloudi, Sofia
10
2008
Alternative formulae for the number of sublattices. Zbl 1188.05010
Gruber, B.
9
1997
Beyond space groups: the arithmetic symmetry of deformable multilattices. Zbl 1188.52011
Pitteri, Mario; Zanzotto, Giovanni
9
1998
The classification of face-transitive periodic three-dimensional tilings. Zbl 1176.52009
Dress, Andreas W. M.; Huson, Daniel H.; Molnár, Emil
9
1993
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. Zbl 1370.82063
Dutour Sikirić, Mathieu; Garber, Alexey; Schürmann, Achill; Waldmann, Clara
9
2016
Nomenclature and generation of three-periodic nets: the vector method. Zbl 1191.82062
Chung, S. J.; Hahn, Th.; Klee, W. E.
9
1984
The arithmetic symmetry of monoatomic 2-nets. Zbl 1188.82090
Fadda, Giuseppe; Zanzotto, Giovanni
8
2000
The use of higher-order invariants in the determination of generalized Patterson cyclotomic sets. Zbl 1176.82034
Grünbaum, F. Alberto; Moore, Calvin C.
8
1995
Identification of and symmetry computation for crystal nets. Zbl 1370.52022
Delgado-Friedrichs, Olaf; O’Keeffe, Michael
8
2003
Three-periodic nets and tilings: regular and related infinite polyhedra. Zbl 1370.52061
O’Keeffe, Michael
8
2008
Euclidian embeddings of periodic nets: definition of a topologically induced complete set of geometric descriptors for crystal structures. Zbl 1370.82067
Eon, Jean-Guillaume
8
2011
The contraction types of parallelohedra in \(E^5\). Zbl 1188.52021
Engel, Peter
7
2000
Three-periodic nets and tilings: regular and quasiregular nets. Zbl 1370.52053
Delgado Friedrichs, Olaf; O’Keeffe, Michael; Yaghi, Omar M.
7
2003
Abelianization of space groups. Zbl 1370.20043
Ratcliffe, John G.; Tschantz, Steven T.
7
2009
The crystallographic restriction in higher dimensions. Zbl 1191.20044
Hiller, Howard
7
1985
Parametrization of triply periodic minimal surfaces. I. Mathematical basis of the construction algorithm for the regular class. Zbl 1188.53011
Fogden, A.; Hyde, S. T.
6
1992
The superspace groups for incommensurate crystal structures with a one-dimensional modulation. Zbl 1176.20052
de Wolff, P. M.; Janssen, T.; Janner, A.
6
1981
Polyhedra, complexes, nets and symmetry. Zbl 1341.52024
Schulte, Egon
6
2014
Space fullerenes: a computer search for new Frank-Kasper structures. Zbl 1370.82015
Dutour Sikirić, Mathieu; Delgado-Friedrichs, Olaf; Deza, Michel
6
2010
On the origin of crystallinity: a lower bound for the regularity radius of Delone sets. Zbl 1444.82010
Baburin, Igor A.; Bouniaev, Mikhail; Dolbilin, Nikolay; Erokhovets, Nikolay Yu.; Garber, Alexey; Krivovichev, Sergey V.; Schulte, Egon
6
2018
Some generalized Penrose patterns from projections of \(n\)-dimensional lattices. Zbl 1191.52021
Whittaker, E. J. W.; Whittaker, R. M.
6
1988
Platonic solids generate their four-dimensional analogues. Zbl 1284.52016
Dechant, Pierre-Philippe
6
2013
Invariant elastic constants and eigentensors of orthorhombic tetragonal, hexagonal and cubic crystalline media. Zbl 1188.82125
Theocaris, Pericles S.; Sokolis, Dimitrios P.
5
2000
Description of the f.c.c. lattice geometry through a four-dimensional hypercube. Zbl 1188.52010
Her, Inn Chyn
5
1995
The densest packing of equal circles on a sphere. Zbl 1176.52007
Kottwitz, D. A.
5
1991
Viruses and fullerenes – symmetry as a common thread? Zbl 1358.92106
Dechant, Pierre-Philippe; Wardman, Jess; Keef, Tom; Twarock, Reidun
5
2014
Three-periodic nets and tilings: semiregular nets: three-periodic nets. Zbl 1370.52054
Delgado Friedrichs, Olaf; O’Keeffe, Michael; Yaghi, Omar M.
5
2003
Structures of coincidence symmetry groups. Zbl 1370.82142
Zou, Yi Ming
5
2006
Towards a classification of icosahedral viruses in terms of indexed polyhedra. Zbl 1370.82081
Janner, A.
5
2006
Three-periodic nets and tilings: natural tilings for nets. Zbl 1370.52050
Blatov, Vladislav A.; Delgado-Friedrichs, Olaf; O’Keeffe, Michael; Proserpio, Davide M.
5
2007
A short history of SHELX. Zbl 1370.52003
Sheldrick, George M.
5
2008
\(\epsilon\)-machine spectral reconstruction theory: a direct method for inferring planar disorder and structure from X-ray diffraction studies. Zbl 1284.82100
Varn, D. P.; Canright, G. S.; Crutchfield, J. P.
5
2013
The invariant cubic rod (cylinder) packings: symmetries and coordinates. Zbl 1188.52023
O’Keeffe, M.; Plévert, J.; Teshima, Y.; Watanabe, Y.; Ogama, T.
4
2001
On the definition and classification of Bravais lattices. Zbl 1188.52012
Pitteri, Mario; Zanzotto, Giovanni
4
1996
Disorientations and coincidence rotations for cubic lattices. Zbl 1176.82033
Grimmer, H.
4
1974
Clifford algebra approach to the coincidence problem for planar lattices. Zbl 1370.82115
Rodríguez, M. A.; Aragón, J. L.; Verde-Star, L.
4
2005
Gaussian binomials and the number of sublattices. Zbl 1370.11075
Zou, Yi Ming
4
2006
Discrete tomography of planar model sets. Zbl 1370.82044
Baake, Michael; Gritzmann, Peter; Huck, Christian; Langfeld, Barbara; Lord, Katja
4
2006
Infinite geodesic paths and fibers, new topological invariants in periodic graphs. Zbl 1370.05207
Eon, Jean-Guillaume
4
2007
Random tilings of compact Euclidean 3-manifolds. Zbl 1370.52058
Escudero, Juan García
4
2007
Computing with almost periodic functions. Zbl 1370.43003
Moody, R. V.; Nesterenko, M.; Patera, J.
4
2008
Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples. Zbl 1370.52063
Ramsden, S. J.; Robins, V.; Hyde, S. T.
4
2009
Sublattice enumeration. IV. Equivalence classes of plane sublattices by parent Patterson symmetry and colour lattice group type. Zbl 1370.20044
Rutherford, John S.
4
2009
The relationship of the hyperspherical harmonics to \(\mathrm{SO}(3)\), \(\mathrm{SO}(4)\) and orientation distribution functions. Zbl 1370.82104
Mason, J. K.
4
2009
Bragg-von Laue diffraction generalized to twisted X-rays. Zbl 1370.82086
Jüstel, Dominik; Friesecke, Gero; James, Richard D.
4
2016
Genera of minimal balance surfaces. Zbl 1191.53005
Fischer, Werner; Koch, Elke
4
1989
Multisymmetric close packings of equal spheres on the spherical surface. Zbl 1191.52020
Tarnai, T.; Gáspár, Zs.
4
1987
On the arithmetic classification of crystal structures. Zbl 1188.82091
Fadda, Giuseppe; Zanzotto, Giovanni
3
2001
Parametrization of triply periodic minimal surfaces. III: General algorithm and specific examples for the irregular class. Zbl 1188.53010
Fogden, A.
3
1993
Non-crystallographic nets with freely acting, non-abelian local automorphism groups. Zbl 1243.52016
Moreira de Oliveira, Montauban jun.; Eon, Jean-Guillaume
3
2011
Twelvefold symmetric quasicrystallography from the lattices \(F_4\), \(B_6\) and \(E_6\). Zbl 1341.52036
Koca, Nazife O.; Koca, Mehmet; Koc, Ramazan
3
2014
Graph-theoretical characterization of periodicity in crystallographic nets and other infinite graphs. Zbl 1370.05092
Eon, Jean-Guillaume
3
2005
Three-periodic tilings and nets: face-transitive tilings and edge-transitive nets revisited. Zbl 1370.52044
Delgado-Friedrichs, Olaf; O’Keeffe, Michael
3
2007
Quasiperiodic plane tilings based on stepped surfaces. Zbl 1370.52066
Shutov, A. V.; Maleev, A. V.
3
2008
Crystal topologies – the achievable and inevitable symmetries. Zbl 1370.52024
Thimm, Georg
3
2009
Edge-transitive lattice nets. Zbl 1370.52045
Delgado-Friedrichs, Olaf; O’Keeffe, Michael
3
2009
Structure factor for decorated Penrose tiling in physical space. Zbl 1370.82094
Kozakowski, Bartłomiej; Wolny, Janusz
3
2010
Partially coherent ptychography by gradient decomposition of the probe. Zbl 1444.81008
Chang, Huibin; Enfedaque, Pablo; Lou, Yifei; Marchesini, Stefano
3
2018
Infinite periodic minimal surfaces and their crystallography in the hyperbolic plane. Zbl 1191.53011
Sadoc, J.-F.; Charvolin, J.
3
1989
The two-dimensional quasicrystallographic space groups with rotational symmetries less than \(23\)-fold. Zbl 1191.82092
Rokhsar, Daniel S.; Wright, David C.; Mermin, N. David
3
1988
Continuous rotation from cubic to icosahedral order. Zbl 1191.82078
Kramer, Peter
3
1987
Crystallography, geometry and physics in higher dimensions. III: Geometrical symbols for the 227 crystallographic point groups in four-dimensional space. Zbl 1191.82102
Weigel, D.; Phan, T.; Veysseyre, R.
3
1987
Crystallography, geometry and physics in higher dimensions. II. Point symmetry of holohedries of the two hypercubic crystal systems in four-dimensional space. Zbl 1191.82098
Veysseyre, R.; Weigel, D.; Phan, T.; Effantin, J. M.
3
1984
Tabulation of irreducible representations of the crystallographic space groups and their superspace extensions. Zbl 1284.20056
Stokes, Harold T.; Campbell, Branton J.; Cordes, Ryan
3
2013
On the enumeration of the combinatorial types of primitive parallelohedra in \(E^{d}\), \(2 \leq d\leq 6\). Zbl 1284.05134
Baburin, Igor A.; Engel, Peter
3
2013
Iterative projection algorithms in protein crystallography. I: Theory. Zbl 1284.05303
Millane, Rick P.; Lo, Victor L.
3
2013
C\(_{70}\), C\(_{80}\), C\(_{90}\) and carbon nanotubes by breaking of the icosahedral symmetry of C\(_{60}\). Zbl 1284.82111
Bodner, Mark; Patera, Jiří; Szajewska, Marzena
3
2013
Computing maximal subgroups and Wyckoff positions of space groups. Zbl 1188.20051
Eick, Bettina; Gähler, Franz; Nickel, Werner
2
1997
Quasiperiodic patterns generated by mixing lattices derived from a dodecahedral star and an icosahedral star. Zbl 1188.52018
Soma, T.; Watanabe, Y.
2
1999
The crystal problem for polytypes. Zbl 1188.82127
Varn, D. P.; Canright, G. S.
2
2001
Derivation of Wyckoff positions of \(N\)-dimensional space groups. Theoretical considerations. Zbl 1188.82093
Fuksa, Jiří; Engel, Peter
2
1994
Coincidence lattices and associated shear transformations. Zbl 1188.82088
Duneau, M.; Oguey, C.; Thalal, A.
2
1992
The enumeration and symmetry-significant properties of derivative lattices. Zbl 1188.82120
Rutherford, John S.
2
1992
The generating function for coincidence site lattices in the cubic system. Zbl 1176.82032
Grimmer, H.
2
1984
Mathematical aspects of molecular replacement. I: Algebraic properties of motion spaces. Zbl 1243.82052
Chirikjian, Gregory S.
2
2011
Direct phasing of protein crystals with high solvent content. Zbl 1359.92086
He, Hongxing; Su, Wu-Pei
2
2015
Symmetry groups of single-wall nanotubes. Zbl 1341.82124
De Las Peñas, Ma. Louise Antonette N.; Loyola, Mark L.; Basilio, Antonio M.; Santoso, Eko Budi
2
2014
Brillouin-zone database on the Bilbao Crystallographic Server. Zbl 1341.20048
Aroyo, Mois I.; Orobengoa, Danel; de la Flor, Gemma; Tasci, Emre S.; Perez-Mato, J. Manuel; Wondratschek, Hans
2
2014
Direct phasing in femtosecond nanocrystallography. I: Diffraction characteristics. Zbl 1341.82122
Chen, Joe P. J.; Spence, John C. H.; Millane, Rick P.
2
2014
Direct phasing in femtosecond nanocrystallography. II: Phase retrieval. Zbl 1341.82123
Chen, Joe P. J.; Spence, John C. H.; Millane, Rick P.
2
2014
Non-crystallographic nets: characterization and first steps towards a classification. Zbl 1337.05054
Moreira de Oliveira, Montauban jun.; Eon, Jean-Guillaume
2
2014
Unification and classification of two-dimensional crystalline patterns using orbifolds. Zbl 1351.82109
Hyde, S. T.; Ramsden, S. J.; Robins, V.
2
2014
Radial spacing distributions from planar point sets. Zbl 1341.52039
Baake, M.; Götze, F.; Huck, C.; Jakobi, T.
2
2014
Icosahedral symmetry breaking: \(\mathrm C_{60}\) to \(\mathrm C_{78}\), \(\mathrm C_{96}\) and to related nanotubes. Zbl 1341.82120
Bodner, Mark; Bourret, Emmanuel; Patera, Jiri; Szajewska, Marzena
2
2014
The coincidence problem for shifted lattices and crystallographic point packings. Zbl 1341.52030
Loquias, Manuel Joseph C.; Zeiner, Peter
2
2014
Seitz symbols for symmetry operations of subperiodic groups. Zbl 1337.82023
Litvin, Daniel B.; Kopský, Vojtech
2
2014
A topological method for the classification of entanglements in crystal networks. Zbl 1370.82043
Alexandrov, Eugeny V.; Blatov, Vladislav A.; Proserpio, Davide M.
2
2012
The relationship between reduced cells in a general Bravais lattice. Zbl 1370.82072
Gruber, B.
2
1973
Homogeneous cubic cylinder packings revisited. Zbl 1370.52042
O’keeffe, M.; Plévert, J.; Ogawa, T.
2
2002
Corrections to: “Crystallographic groups of four-dimensional space” by Brown et al. (1978). Zbl 1370.20042
Neubüser, J.; Souvignier, B.; Wondratschek, H.
2
2002
Enantiomorphism of crystallographic groups in higher dimensions with results in dimensions up to 6. Zbl 1370.20045
Souvignier, Bernd
2
2003
Topological density of nets: a direct calculation. Zbl 1370.82065
Eon, Jean Guillaume
2
2004
Magnetically ordered quasicrystals: enumeration of spin groups and calculation of magnetic selection rules. Zbl 1370.82099
Lifshitz, Ron; Mandel, Shahar Even-Dar
2
2004
Zones and sublattices of integral lattices. Zbl 1370.82080
Janner, A.
2
2004
On the origin of crystallinity: a lower bound for the regularity radius of Delone sets. Zbl 1444.82010
Baburin, Igor A.; Bouniaev, Mikhail; Dolbilin, Nikolay; Erokhovets, Nikolay Yu.; Garber, Alexey; Krivovichev, Sergey V.; Schulte, Egon
6
2018
Partially coherent ptychography by gradient decomposition of the probe. Zbl 1444.81008
Chang, Huibin; Enfedaque, Pablo; Lou, Yifei; Marchesini, Stefano
3
2018
AFLOW-SYM: platform for the complete, automatic and self-consistent symmetry analysis of crystals. Zbl 1444.82020
Hicks, David; Oses, Corey; Gossett, Eric; Gomez, Geena; Taylor, Richard H.; Toher, Cormac; Mehl, Michael J.; Levy, Ohad; Curtarolo, Stefano
2
2018
Quasicrystals: What do we know? What do we want to know? What can we know? Zbl 1444.82041
Steurer, Walter
1
2018
Small-angle X-ray scattering tensor tomography: model of the three-dimensional reciprocal-space map, reconstruction algorithm and angular sampling requirements. Zbl 1446.92209
Liebi, Marianne; Georgiadis, Marios; Kohlbrecher, Joachim; Holler, Mirko; Raabe, Jörg; Usov, Ivan; Menzel, Andreas; Schneider, Philipp; Bunk, Oliver; Guizar-Sicairos, Manuel
1
2018
Coordination numbers of the vertex graph of a Penrose tiling. Zbl 1444.82038
Shutov, Anton; Maleev, Andrey
1
2018
Surface embeddings of the Klein and the Möbius-Kantor graphs. Zbl 1444.05048
Pedersen, Martin Cramer; Delgado-Friedrichs, Olaf; Hyde, Stephen T.
1
2018
Obituary: Ted Janssen (1936–2017). Zbl 1444.01027
Souvignier, Bernd
1
2018
A projection-based reformulation of the coincident site lattice {\(\Sigma\)} for arbitrary bicrystals at finite temperature. Zbl 1370.82121
Runnels, B.
1
2017
Three-dimensional single-cell imaging with X-ray waveguides in the holographic regime. Zbl 1451.92186
Krenkel, Martin; Toepperwien, Mareike; Alves, Frauke; Salditt, Tim
1
2017
The complete classification of five-dimensional Dirichlet-Voronoi polyhedra of translational lattices. Zbl 1370.82063
Dutour Sikirić, Mathieu; Garber, Alexey; Schürmann, Achill; Waldmann, Clara
9
2016
Bragg-von Laue diffraction generalized to twisted X-rays. Zbl 1370.82086
Jüstel, Dominik; Friesecke, Gero; James, Richard D.
4
2016
Three-dimensional propagation in near-field tomographic X-ray phase retrieval. Zbl 1370.82120
Ruhlandt, Aike; Salditt, Tim
2
2016
Wiener index on rows of unit cells of the face-centred cubic lattice. Zbl 1370.82107
Mujahed, Hamzeh; Nagy, Benedek
1
2016
Faces of root polytopes in all dimensions. Zbl 1370.52020
Szajewska, Marzena
1
2016
On representing rotations by rodrigues parameters in non-orthonormal reference systems. Zbl 1370.82106
Morawiec, A.
1
2016
Direct phasing of protein crystals with high solvent content. Zbl 1359.92086
He, Hongxing; Su, Wu-Pei
2
2015
Partial order among the 14 Bravais types of lattices: basics and applications. Zbl 1341.20051
Grimmer, Hans
1
2015
Group-theoretical analysis of aperiodic tilings from projections of higher-dimensional lattices \(B_n\). Zbl 1337.52015
Koca, Mehmet; Koca, Nazife Ozdes; Koc, Ramazan
1
2015
Icosahedral symmetry breaking: C\(_{60}\) to C\(_{84}\), C\(_{108}\) and to related nanotubes. Zbl 1346.82044
Bodner, Mark; Bourret, Emmanuel; Patera, Jiri; Szajewska, Marzena
1
2015
Diaphony, a measure of uniform distribution, and the Patterson function. Zbl 1390.11095
Hornfeck, Wolfgang; Kuhn, Philipp
1
2015
Approximation of virus structure by icosahedral tilings. Zbl 1359.92124
Salthouse, D. G.; Indelicato, G.; Cermelli, P.; Keef, T.; Twarock, R.
1
2015
Pairwise correlations in layered close-packed structures. Zbl 1338.82063
Riechers, P. M.; Varn, D. P.; Crutchfield, J. P.
1
2015
Iterative projection algorithms in protein crystallography. II: Application. Zbl 1338.05264
Lo, Victor L.; Kingston, Richard L.; Millane, Rick P.
1
2015
Hexagonal projected symmetries. Zbl 1337.82024
Oliveira, Juliane F.; Castro, Sofia B. S. D.; Labouriau, Isabel S.
1
2015
Orbits of crystallographic embedding of non-crystallographic groups and applications to virology. Zbl 1338.82064
Twarock, Reidun; Valiunas, Motiejus; Zappa, Emilio
1
2015
Polyhedra, complexes, nets and symmetry. Zbl 1341.52024
Schulte, Egon
6
2014
Viruses and fullerenes – symmetry as a common thread? Zbl 1358.92106
Dechant, Pierre-Philippe; Wardman, Jess; Keef, Tom; Twarock, Reidun
5
2014
Twelvefold symmetric quasicrystallography from the lattices \(F_4\), \(B_6\) and \(E_6\). Zbl 1341.52036
Koca, Nazife O.; Koca, Mehmet; Koc, Ramazan
3
2014
Symmetry groups of single-wall nanotubes. Zbl 1341.82124
De Las Peñas, Ma. Louise Antonette N.; Loyola, Mark L.; Basilio, Antonio M.; Santoso, Eko Budi
2
2014
Brillouin-zone database on the Bilbao Crystallographic Server. Zbl 1341.20048
Aroyo, Mois I.; Orobengoa, Danel; de la Flor, Gemma; Tasci, Emre S.; Perez-Mato, J. Manuel; Wondratschek, Hans
2
2014
Direct phasing in femtosecond nanocrystallography. I: Diffraction characteristics. Zbl 1341.82122
Chen, Joe P. J.; Spence, John C. H.; Millane, Rick P.
2
2014
Direct phasing in femtosecond nanocrystallography. II: Phase retrieval. Zbl 1341.82123
Chen, Joe P. J.; Spence, John C. H.; Millane, Rick P.
2
2014
Non-crystallographic nets: characterization and first steps towards a classification. Zbl 1337.05054
Moreira de Oliveira, Montauban jun.; Eon, Jean-Guillaume
2
2014
Unification and classification of two-dimensional crystalline patterns using orbifolds. Zbl 1351.82109
Hyde, S. T.; Ramsden, S. J.; Robins, V.
2
2014
Radial spacing distributions from planar point sets. Zbl 1341.52039
Baake, M.; Götze, F.; Huck, C.; Jakobi, T.
2
2014
Icosahedral symmetry breaking: \(\mathrm C_{60}\) to \(\mathrm C_{78}\), \(\mathrm C_{96}\) and to related nanotubes. Zbl 1341.82120
Bodner, Mark; Bourret, Emmanuel; Patera, Jiri; Szajewska, Marzena
2
2014
The coincidence problem for shifted lattices and crystallographic point packings. Zbl 1341.52030
Loquias, Manuel Joseph C.; Zeiner, Peter
2
2014
Seitz symbols for symmetry operations of subperiodic groups. Zbl 1337.82023
Litvin, Daniel B.; Kopský, Vojtech
2
2014
Magnetic pair distribution function analysis of local magnetic correlations. Zbl 1341.82099
Frandsen, Benjamin A.; Yang, Xiaohao; Billinge, Simon J. L.
1
2014
Double antisymmetry and the rotation-reversal space groups. Zbl 1341.82088
VanLeeuwen, Brian K.; Gopalan, Venkatraman; Litvin, Daniel B.
1
2014
On physical property tensors invariant under line groups. Zbl 1341.82126
Litvin, Daniel B.
1
2014
Alternative approaches to onion-like icosahedral fullerenes. Zbl 1358.92108
Janner, A.
1
2014
Ambiguity of structure determination from a minimum of diffraction intensities. Zbl 1341.82076
Al-Asadi, Ahmed; Leggas, Dimitri; Tsodikov, Oleg V.
1
2014
Crystallographic data of double antisymmetry space groups. Zbl 1341.20052
Huang, Mantao; VanLeeuwen, Brian K.; Litvin, Daniel B.; Gopalan, Venkatraman
1
2014
On the subgroup structure of the hyperoctahedral group in six dimensions. Zbl 1341.20055
Zappa, Emilio; Dykeman, Eric C.; Twarock, Reidun
1
2014
Octagonal symmetry in low-discrepancy \(\beta\)-manganese. Zbl 1341.82078
Hornfeck, Wolfgang; Kuhn, Philipp
1
2014
Platonic solids generate their four-dimensional analogues. Zbl 1284.52016
Dechant, Pierre-Philippe
6
2013
\(\epsilon\)-machine spectral reconstruction theory: a direct method for inferring planar disorder and structure from X-ray diffraction studies. Zbl 1284.82100
Varn, D. P.; Canright, G. S.; Crutchfield, J. P.
5
2013
Tabulation of irreducible representations of the crystallographic space groups and their superspace extensions. Zbl 1284.20056
Stokes, Harold T.; Campbell, Branton J.; Cordes, Ryan
3
2013
On the enumeration of the combinatorial types of primitive parallelohedra in \(E^{d}\), \(2 \leq d\leq 6\). Zbl 1284.05134
Baburin, Igor A.; Engel, Peter
3
2013
Iterative projection algorithms in protein crystallography. I: Theory. Zbl 1284.05303
Millane, Rick P.; Lo, Victor L.
3
2013
C\(_{70}\), C\(_{80}\), C\(_{90}\) and carbon nanotubes by breaking of the icosahedral symmetry of C\(_{60}\). Zbl 1284.82111
Bodner, Mark; Patera, Jiří; Szajewska, Marzena
3
2013
Symmetry group of two special types of carbon nanotori. Zbl 1284.82114
Staic, Mihai D.; Petrescu-Nita, Alina
2
2013
Minimal nets and minimal minimal surfaces. Zbl 1284.53011
de Campo, Liliana; Delgado-Friedrichs, Olaf; Hyde, Stephen T.; O’Keeffe, Michael
2
2013
Nets with collisions (unstable nets) and crystal chemistry. Zbl 1284.52019
Delgado-Friedrichs, Olaf; Hyde, Stephen T.; Mun, Shin-Won; O’Keeffe, Michael; Proserpio, Davide M.
2
2013
An algorithm for the arithmetic classification of multilattices. Zbl 1284.82094
Indelicato, Giuliana
2
2013
Non-crystallographic nets with finite blocks of imprimitivity for bounded automorphisms. Zbl 1284.05320
Moreira de Oliveira, Montauban jun.; Eon, Jean-Guillaume
2
2013
Distribution rules of systematic absences on the Conway topograph and their application to powder auto-indexing. Zbl 1284.05307
Oishi-Tomiyasu, R.
1
2013
On the use of the \(C\) map in Patterson deconvolution procedures. Zbl 1284.82086
Caliandro, Rocco; Carrozzini, Benedetta; Cascarano, Giovanni Luca; Comunale, Giuliana; Giacovazzo, Carmelo
1
2013
Multidimensional paperfolding systems. Zbl 1284.52020
Ben-Abraham, Shelomo I.; Quandt, Alexander; Shapira, Dekel
1
2013
Optical properties of X-rays – dynamical diffraction. Zbl 1284.82006
Authier, André
11
2012
A topological method for the classification of entanglements in crystal networks. Zbl 1370.82043
Alexandrov, Eugeny V.; Blatov, Vladislav A.; Proserpio, Davide M.
2
2012
Quantitative crystal structure descriptors from multiplicative congruential generators. Zbl 1284.82093
Hornfeck, Wolfgang
2
2012
Rapid Bravais-lattice determination algorithm for lattice parameters containing large observation errors. Zbl 1284.82098
Oishi-Tomiyasu, R.
2
2012
Direct phasing from Patterson syntheses by \(\delta\) recycling. Zbl 1284.60014
Rius, Jordi
1
2012
Mathematical aspects of molecular replacement. II. Geometry of motion spaces. Zbl 1284.82087
Chirikjian, Gregory S.; Yan, Yan
1
2012
Estimates of triplet invariants given a model structure. Zbl 1284.82085
Burla, Maria Cristina; Carrozzini, Benedetta; Cascarano, Giovanni Luca; Comunale, Giuliana; Giacovazzo, Carmelo; Mazzone, Annamaria; Polidori, Giampiero
1
2012
Rod groups and their settings as special geometric realisations of line groups. Zbl 1284.82091
Evarestov, R. A.; Panin, A. I.
1
2012
Euclidian embeddings of periodic nets: definition of a topologically induced complete set of geometric descriptors for crystal structures. Zbl 1370.82067
Eon, Jean-Guillaume
8
2011
Non-crystallographic nets with freely acting, non-abelian local automorphism groups. Zbl 1243.52016
Moreira de Oliveira, Montauban jun.; Eon, Jean-Guillaume
3
2011
Mathematical aspects of molecular replacement. I: Algebraic properties of motion spaces. Zbl 1243.82052
Chirikjian, Gregory S.
2
2011
Coincidence lattices in the hyperbolic plane. Zbl 1370.15023
Rodríguez-Andrade, M. A.; Aragón-González, G.; Aragón, J. L.; Gómez-Rodríguez, A.
2
2011
Variance of electron-density maps in space group \(P^1\). Zbl 1243.82053
Giacovazzo, Carmelo; Mazzone, Annamaria
1
2011
Space of symmetry matrices with elements \(0\), \(\pm 1\) and complete geometric description; its properties and application. Zbl 1243.82056
Stróż, Kazimierz
1
2011
Generation of \((3 + d)\)-dimensional superspace groups for describing the symmetry of modulated crystalline structures. Zbl 1370.82129
Stokes, Harold T.; Campbell, Branton J.; van Smaalen, Sander
1
2011
Space fullerenes: a computer search for new Frank-Kasper structures. Zbl 1370.82015
Dutour Sikirić, Mathieu; Delgado-Friedrichs, Olaf; Deza, Michel
6
2010
Structure factor for decorated Penrose tiling in physical space. Zbl 1370.82094
Kozakowski, Bartłomiej; Wolny, Janusz
3
2010
A special class of simple 24-vertex polyhedra and tetrahedrally coordinated structures of gas hydrates. Zbl 1370.52015
Samoylovich, M. I.; Talis, A. L.
1
2010
Abelianization of space groups. Zbl 1370.20043
Ratcliffe, John G.; Tschantz, Steven T.
7
2009
Three-dimensional Euclidean nets from two-dimensional hyperbolic tilings: kaleidoscopic examples. Zbl 1370.52063
Ramsden, S. J.; Robins, V.; Hyde, S. T.
4
2009
Sublattice enumeration. IV. Equivalence classes of plane sublattices by parent Patterson symmetry and colour lattice group type. Zbl 1370.20044
Rutherford, John S.
4
2009
The relationship of the hyperspherical harmonics to \(\mathrm{SO}(3)\), \(\mathrm{SO}(4)\) and orientation distribution functions. Zbl 1370.82104
Mason, J. K.
4
2009
Crystal topologies – the achievable and inevitable symmetries. Zbl 1370.52024
Thimm, Georg
3
2009
Edge-transitive lattice nets. Zbl 1370.52045
Delgado-Friedrichs, Olaf; O’Keeffe, Michael
3
2009
Multiplicative congruential generators, their lattice structure, its relation to lattice-sublattice transformations and applications in crystallography. Zbl 1370.82075
Hornfeck, Wolfgang; Harbrecht, Bernd
2
2009
Comments on tables of magnetic space groups. Zbl 1370.20038
Grimmer, Hans
1
2009
Topological relations between three-periodic nets. II: Binodal nets. Zbl 1370.82049
Blatov, Vladislav A.; Proserpio, Davide M.
1
2009
Fascinating quasicrystals. Zbl 1370.82128
Steurer, Walter; Deloudi, Sofia
10
2008
Three-periodic nets and tilings: regular and related infinite polyhedra. Zbl 1370.52061
O’Keeffe, Michael
8
2008
A short history of SHELX. Zbl 1370.52003
Sheldrick, George M.
5
2008
Computing with almost periodic functions. Zbl 1370.43003
Moody, R. V.; Nesterenko, M.; Patera, J.
4
2008
Quasiperiodic plane tilings based on stepped surfaces. Zbl 1370.52066
Shutov, A. V.; Maleev, A. V.
3
2008
Does mathematical crystallography still have a role in the XXI century? Zbl 1370.52001
Nespolo, Massimo
2
2008
Higher-dimensional point groups in superspace crystallography. Zbl 1370.82082
Janner, A.
1
2008
The triplet invariant revisited. Zbl 1370.82050
Brosius, J.
1
2008
The quartet revisited. Zbl 1370.82051
Brosius, J.
1
2008
A statistical interpretation of the triplet and quartet invariant in \(P1\). A theoretical discussion. Zbl 1370.82052
Brosius, J.
1
2008
Three-periodic nets and tilings: natural tilings for nets. Zbl 1370.52050
Blatov, Vladislav A.; Delgado-Friedrichs, Olaf; O’Keeffe, Michael; Proserpio, Davide M.
5
2007
Infinite geodesic paths and fibers, new topological invariants in periodic graphs. Zbl 1370.05207
Eon, Jean-Guillaume
4
2007
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Cited by 735 Authors

11 Twarock, Reidun
9 Dolbilin, Nikolaĭ Petrovich
8 Schulte, Egon
7 Dutour-Sikiric, Mathieu
6 Crutchfield, James P.
6 Dechant, Pierre-Philippe
6 Garber, Alexeĭ Igorevich
5 Indelicato, Giuliana
5 Litvin, Daniel B.
5 Sfyris, Dimitris
5 Zong, Chuanming
4 Baake, Michael
4 Cermelli, Paolo
4 Chen, Hao
4 Dawson, Paul R.
4 de las Penas, Ma. Louise Antonette N.
4 Elser, Veit
4 Eon, Jean-Guillaume
4 Escudero, Juan García
4 Huck, Christian
4 Keef, Tom
4 Millane, Rick P.
4 Pellicer, Daniel
4 Shtogrin, Mikhail Ivanovich
4 Szirmai, Jenó
4 Tarnai, Tibor
4 Vaudrevange, Patrick K. S.
3 Anosova, Olga
3 Aragón González, Gerardo
3 Chelnokov, Grigory R.
3 Chirikjian, Gregory S.
3 Deza, Michel Marie
3 Ericksen, Jerald Laverne
3 Hornfeck, Wolfgang
3 Huson, Daniel H.
3 Kumar, Ashish
3 Kurlin, Vitaliy
3 Lenz, Daniel H.
3 Liu, Gui-Bin
3 McColm, Gregory L.
3 Mednykh, Aleksandr Dmitrievich
3 Moody, Robert Vaughan
3 O’Keeffe, Michael
3 Patera, Jiří
3 Riechers, Paul M.
3 Rodríguez-Andrade, Marco Antonio
3 Salthouse, David G.
3 Schürmann, Achill
3 Senechal, Marjorie Wikler
3 Strungaru, Nicolae
3 Szajewska, Marzena
3 Wolny, Janusz
3 Yang, Qi
3 Yao, Yugui
3 Yu, Zhi-Ming
3 Zeiner, Peter
3 Zhang, Zeyin
2 Andres, Eric
2 Au-Yang, Helen
2 Bacher, Roland
2 Biswas, Ranita
2 Bodner, Mark
2 Borcea, Ciprian S.
2 Brock, Louis M.
2 Castro, Sofia B. S. D.
2 Chang, Huibin
2 Chen, Joe P. J.
2 Chtchelkatchev, Nikolay M.
2 Čomić, Lidija
2 Damnjanović, Milan
2 Delgado-Friedrichs, Olaf
2 Diudea, Mircea V.
2 Eick, Bettina
2 Engel, Peter
2 Fannjiang, Albert C.
2 Fewster, Paul F.
2 Fischer, Maximilian
2 Fowler, Patrick W.
2 Fritz, Tobias
2 Gähler, Franz
2 Gopalan, Venkatraman
2 Grishukhin, Vyacheslav Petrovich
2 Hanany, Amihay
2 Henn, Julian
2 Hofmann, Tommy
2 Hunton, John Robert
2 Hyde, Stephen T.
2 James, Richard D.
2 Jiang, Kai
2 Jüstel, Dominik
2 Koca, Mehmet
2 Koca, Nazife Ozdes
2 Köhler, Adelhard E.
2 Kolbe, Benedikt
2 Korepin, Vladimir E.
2 Kuczera, Pawel
2 Kuhn, Philipp
2 Kummer, Mario Denis
2 Labouriau, Isabel S.
2 Largeteau-Skapin, Gaëlle
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Cited in 169 Journals

79 Acta Crystallographica. Section A
14 Journal of Mathematical Physics
12 Discrete & Computational Geometry
9 Journal of High Energy Physics
7 Communications in Mathematical Physics
7 European Journal of Combinatorics
7 Mathematics and Mechanics of Solids
6 Experimental Mathematics
6 Advances in Applied Clifford Algebras
6 Journal of Mathematical Chemistry
6 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
5 Computers & Mathematics with Applications
5 Computer Physics Communications
5 Discrete Mathematics
5 Journal of Physics A: Mathematical and Theoretical
4 Computer Methods in Applied Mechanics and Engineering
4 Inverse Problems
4 Journal of Geometry and Physics
4 Geometriae Dedicata
4 Journal of Number Theory
4 Transactions of the American Mathematical Society
4 SIAM Journal on Scientific Computing
4 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
4 Proceedings of the Steklov Institute of Mathematics
4 Journal of Mathematics and the Arts
3 Modern Physics Letters B
3 Journal of Statistical Physics
3 Mathematics of Computation
3 Advances in Mathematics
3 Applied Mathematics and Computation
3 Linear Algebra and its Applications
3 Indagationes Mathematicae. New Series
3 The Journal of Fourier Analysis and Applications
3 Symmetry
2 International Journal of Engineering Science
2 Journal of Computational Physics
2 Journal of Mathematical Biology
2 Journal of the Mechanics and Physics of Solids
2 Mathematical Methods in the Applied Sciences
2 Mathematical Notes
2 Russian Mathematical Surveys
2 Theoretical and Mathematical Physics
2 The Mathematical Intelligencer
2 International Journal for Numerical Methods in Engineering
2 Journal of Algebra
2 Journal of Geometry
2 Journal of the London Mathematical Society. Second Series
2 Journal of Soviet Mathematics
2 Meccanica
2 Monatshefte für Mathematik
2 Theoretical Computer Science
2 Ergodic Theory and Dynamical Systems
2 Acta Mathematica Hungarica
2 Computer Aided Geometric Design
2 Journal of Symbolic Computation
2 Journal of Elasticity
2 SIAM Journal on Applied Mathematics
2 Expositiones Mathematicae
2 Journal of Mathematical Imaging and Vision
2 Continuum Mechanics and Thermodynamics
2 Calculus of Variations and Partial Differential Equations
2 Applied and Computational Harmonic Analysis
2 Journal of Mathematical Sciences (New York)
2 European Journal of Mechanics. A. Solids
2 Algebraic & Geometric Topology
2 Forma
2 Comptes Rendus. Mathématique. Académie des Sciences, Paris
2 Journal of Geometry and Symmetry in Physics
2 SIAM Journal on Imaging Sciences
2 Iranian Journal of Mathematical Chemistry
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Bulletin of the Australian Mathematical Society
1 Communications in Algebra
1 Computers and Fluids
1 International Journal of Plasticity
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Jahresbericht der Deutschen Mathematiker-Vereinigung (DMV)
1 Journal of Fluid Mechanics
1 Letters in Mathematical Physics
1 Mathematical Proceedings of the Cambridge Philosophical Society
1 Physica A
1 Physics Letters. A
1 Physics Reports
1 Reviews of Modern Physics
1 Ukrainian Mathematical Journal
1 Wave Motion
1 Bulletin of Mathematical Biology
1 Beiträge zur Algebra und Geometrie
1 Fortschritte der Physik
1 Acta Arithmetica
1 Archiv der Mathematik
1 Bulletin of the London Mathematical Society
1 Bulletin de la Société Mathématique de France
1 Canadian Mathematical Bulletin
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Combinatorial Theory. Series A
1 Journal of Functional Analysis
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Cited in 56 Fields

125 Statistical mechanics, structure of matter (82-XX)
121 Convex and discrete geometry (52-XX)
81 Group theory and generalizations (20-XX)
54 Combinatorics (05-XX)
50 Mechanics of deformable solids (74-XX)
40 Number theory (11-XX)
31 Biology and other natural sciences (92-XX)
29 Geometry (51-XX)
25 Numerical analysis (65-XX)
24 Quantum theory (81-XX)
22 Computer science (68-XX)
20 Manifolds and cell complexes (57-XX)
19 Optics, electromagnetic theory (78-XX)
16 Differential geometry (53-XX)
13 Linear and multilinear algebra; matrix theory (15-XX)
13 Probability theory and stochastic processes (60-XX)
12 Calculus of variations and optimal control; optimization (49-XX)
11 Dynamical systems and ergodic theory (37-XX)
9 Algebraic geometry (14-XX)
9 Partial differential equations (35-XX)
9 Harmonic analysis on Euclidean spaces (42-XX)
9 Information and communication theory, circuits (94-XX)
8 Algebraic topology (55-XX)
8 Global analysis, analysis on manifolds (58-XX)
7 Nonassociative rings and algebras (17-XX)
7 Topological groups, Lie groups (22-XX)
7 Statistics (62-XX)
6 History and biography (01-XX)
6 Fluid mechanics (76-XX)
6 Operations research, mathematical programming (90-XX)
5 Measure and integration (28-XX)
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5 Abstract harmonic analysis (43-XX)
5 Mechanics of particles and systems (70-XX)
4 General and overarching topics; collections (00-XX)
4 Order, lattices, ordered algebraic structures (06-XX)
4 Functions of a complex variable (30-XX)
4 Relativity and gravitational theory (83-XX)
3 Functional analysis (46-XX)
2 Associative rings and algebras (16-XX)
2 \(K\)-theory (19-XX)
2 Real functions (26-XX)
2 Integral transforms, operational calculus (44-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 Mathematical logic and foundations (03-XX)
1 Field theory and polynomials (12-XX)
1 Commutative algebra (13-XX)
1 Potential theory (31-XX)
1 Ordinary differential equations (34-XX)
1 Difference and functional equations (39-XX)
1 Integral equations (45-XX)
1 General topology (54-XX)
1 Classical thermodynamics, heat transfer (80-XX)
1 Systems theory; control (93-XX)
1 Mathematics education (97-XX)

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