Acta Crystallographica. Section AFoundations 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/S20532733https://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. all top 5 Latest Issues 76, No. 1 (2020) 74, No. 6 (2018) 74, No. 5 (2018) 74, No. 4 (2018) 74, No. 3 (2018) 74, No. 2 (2018) 74, No. 1 (2018) 73, No. 6 (2017) 73, No. 5 (2017) 73, No. 4 (2017) 73, No. 3 (2017) 73, No. 2 (2017) 73, No. 1 (2017) 72, No. 6 (2016) 72, No. 5 (2016) 72, No. 4 (2016) 72, No. 3 (2016) 72, No. 2 (2016) 72, No. 1 (2016) 71, No. 6 (2015) 71, No. 5 (2015) 71, No. 4 (2015) 71, No. 3 (2015) 71, No. 2 (2015) 71, No. 1 (2015) 70, No. 6 (2014) 70, No. 5 (2014) 70, No. 4 (2014) 70, No. 3 (2014) 70, No. 2 (2014) 70, No. 1 (2014) 69, No. 6 (2013) 69, No. 5 (2013) 69, No. 4 (2013) 69, No. 3 (2013) 69, No. 2 (2013) 69, No. 1 (2013) 68, No. 6 (2012) 68, No. 5 (2012) 68, No. 4 (2012) 68, No. 3 (2012) 68, No. 2 (2012) 68, No. 1 (2012) 67, No. 5 (2011) 67, No. 4 (2011) 67, No. 3 (2011) 67, No. 1 (2011) 66, No. 6 (2010) 66, No. 5 (2010) 66, No. 4 (2010) 66, No. 1 (2010) 65, No. 6 (2009) 65, No. 5 (2009) 65, No. 4 (2009) 65, No. 3 (2009) 65, No. 2 (2009) 65, No. 1 (2009) 64, No. 6 (2008) 64, No. 5 (2008) 64, No. 3 (2008) 64, No. 2 (2008) 64, No. 1 (2008) 63, No. 6 (2007) 63, No. 5 (2007) 63, No. 4 (2007) 63, No. 2 (2007) 63, No. 1 (2007) 62, No. 6 (2006) 62, No. 5 (2006) 62, No. 3 (2006) 62, No. 2 (2006) 62, No. 1 (2006) 61, No. 6 (2005) 61, No. 5 (2005) 61, No. 4 (2005) 61, No. 3 (2005) 61, No. 2 (2005) 61, No. 1 (2005) 60, No. 6 (2004) 60, No. 4 (2004) 60, No. 3 (2004) 60, No. 2 (2004) 60, No. 1 (2004) 59, No. 6 (2003) 59, No. 5 (2003) 59, No. 4 (2003) 59, No. 3 (2003) 59, No. 2 (2003) 59, No. 1 (2003) 58, No. 6 (2002) 58, No. 5 (2002) 58, No. 4 (2002) 58, No. 3 (2002) 58, No. 2 (2002) 58, No. 1 (2002) 57, No. 6 (2001) 57, No. 5 (2001) 57, No. 4 (2001) 57, No. 3 (2001) 57, No. 1 (2001) ...and 87 more Volumes all top 5 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 all top 5 Fields 452 Statistical mechanics, structure of matter (82-XX) 179 Group theory and generalizations (20-XX) 146 Convex and discrete geometry (52-XX) 33 Combinatorics (05-XX) 25 Geometry (51-XX) 23 Optics, electromagnetic theory (78-XX) 23 Biology and other natural sciences (92-XX) 20 History and biography (01-XX) 15 Differential geometry (53-XX) 15 Numerical analysis (65-XX) 13 Number theory (11-XX) 13 Mechanics of deformable solids (74-XX) 10 Quantum theory (81-XX) 8 Linear and multilinear algebra; matrix theory (15-XX) 8 Probability theory and stochastic processes (60-XX) 6 Special functions (33-XX) 5 Statistics (62-XX) 5 Computer science (68-XX) 5 Operations research, mathematical programming (90-XX) 3 Topological groups, Lie groups (22-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Manifolds and cell complexes (57-XX) 2 General and overarching topics; collections (00-XX) 2 Algebraic geometry (14-XX) 2 Abstract harmonic analysis (43-XX) 2 Information and communication theory, circuits (94-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Nonassociative rings and algebras (17-XX) 1 Partial differential equations (35-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Fluid mechanics (76-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) Publications by Year all cited Publications top 5 cited Publications 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. 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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 ...and 120 more Documents all cited Publications top 5 cited Publications all top 5 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 ...and 635 more Authors all top 5 Cited in 169 Journals 79 Acta Crystallographica. 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Series A 1 Journal of Functional Analysis ...and 69 more Journals all top 5 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) 5 Special functions (33-XX) 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) Citations by Year