Fetching the paper…
Reading the bibliography…
A routine crystallography technique, crystal structure analysis, is rarely performed in computational condensed matter research.
E. Wigner, Gruppentheorie und ihre Anwendungen auf die Quantenmechanik der Atomspektren (Vieweg Verlag, Braunchweig, 1931)
1931
Earlier work this paper cites.
S. L. Altmann, “On the symmetries of spherical harmonics,” Mathematical Proceedings of the Cambridge Philosophical Society 53
1957
Earlier work this paper cites.
S. L. Altmann, “The Crystallographic Point Groups as Semi-Direct Products,” Philosophical Transactions of the Royal Society A 255
1963
Earlier work this paper cites.
S. L. Altmann and C. J. Bradley, “On the Symmetries of Spherical Harmonics,” Philosophical Transactions of the Royal Society A 255
1963
Earlier work this paper cites.
G. S. Ezra, Symmetry Properties of Molecules (Springer-Verlag Berlin-Heidelberg, 1982)
1982
Earlier work this paper cites.
P. J. Steinhardt, D. R. Nelson, and M. Ronchetti, “Bond-orientational order in liquids and glasses,” Physical Review B 28
1983
Earlier work this paper cites.
J. D. Honeycutt and H. C. Andersen, “Molecular dynamics study of melting and freezing of small Lennard-Jones clusters,” Journal of Physical Chemistry 91
1987
Earlier work this paper cites.
D. Faken and H. Jónsson, “Systematic analysis of local atomic structure combined with 3D computer graphics,” Computational Materials Science 2
1994
Earlier work this paper cites.
P. R. ten Wolde, M. J. Ruiz-Montero, and D. Frenkel, “Numerical Evidence for bcc Ordering at the Surface of a Critical fcc Nucleus,” Physical Review Letters 75
1995
Earlier work this paper cites.
D. J. Wales and J. P. K. Doye, “Global Optimization by Basin-Hopping and the Lowest Energy Structures of Lennard-Jones Clusters Containing up to 110 Atoms,” The Journal of Physical Chemistry A 101
1997
Earlier work this paper cites.
J. Ivanov and G. Schüürmann, “Simple algorithms for determining the molecular symmetry,” Journal of Chemical Information and Computer Sciences 39
1999
Earlier work this paper cites.
S. Axler, P. Bourdon, and W. Ramey, Harmonic Function Theory , 2nd ed. (Springer-Verlag New York, 2001)
2001
Earlier work this paper cites.
M. Kazhdan, T. Funkhouser, and S. Rusinkiewicz, “Rotation Invariant Spherical Harmonic Representation of 3d Shape Descriptors,” in Proceedings of the 2003 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing (2003) pp. 167–175
2003
Earlier work this paper cites.
S. Auer and D. Frenkel, “Numerical prediction of absolute crystallization rates in hard-sphere colloids,” Journal of Chemical Physics 120
2004
Earlier work this paper cites.
M. Kazhdan, T. Funkhouser, and S. Rusinkiewicz, “Symmetry descriptors and 3D shape matching,” in Proceedings of the 2004 Eurographics/ACM SIGGRAPH Symposium on Geometry Processing (ACM Press, New York, New York, USA, 2004) p. 115
2004
Cited alongside, same era.
G. J. Ackland and A. P. Jones, “Applications of local crystal structure measures in experiment and simulation,” Physical Review B 73
2006
Cited alongside, same era.
W. Lechner and C. Dellago, “Accurate determination of crystal structures based on averaged local bond order parameters,” Journal of Chemical Physics 129
2008
Cited alongside, same era.
M. R. Walsh, C. A. Koh, E. D. Sloan, A. K. Sum, and D. T. Wu, “Microsecond Simulations of Spontaneous Methane Hydrate Nucleation and Growth,” Science 326
2009
Cited alongside, same era.
Z. Gimbutas and L. Greengard, “A fast and stable method for rotating spherical harmonic expansions,” Journal of Computational Physics 228
C. Dietz, T. Kretz, and M. H. Thoma, “Machine-learning approach for local classification of crystalline structures in multiphase systems,” Physical Review E 96
2017
Later among the works it cites.
W. F. Reinhart, A. W. Long, M. P. Howard, A. L. Ferguson, and A. Z. Panagiotopoulos, “Machine learning for autonomous crystal structure identification,” Soft Matter 13
2017
Later among the works it cites.
B. A. Lindquist, R. B. Jadrich, and T. M. Truskett, “From close-packed to topologically close-packed: Formation of Laves phases in moderately polydisperse hard-sphere mixtures,” Journal of Chemical Physics 148
2018
Later among the works it cites.
V. Nguyen and M. Grünwald, “Microscopic Origins of Poor Crystallinity in the Synthesis of Covalent Organic Framework COF-5,” Journal of the American Chemical Society 140
2018
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2009
Cited alongside, same era.
W. Massa, Crystal Structure Determination , 3rd ed. (Springer-Verlag, Berlin, Heidelberg, 2010)
2010
Cited alongside, same era.
A. S. Keys, C. R. Iacovella, and S. C. Glotzer, “Characterizing Structure Through Shape Matching and Applications to Self-Assembly,” Annual Review of Condensed Matter Physics 2
2011
Cited alongside, same era.
P. F. Damasceno, M. Engel, and S. C. Glotzer, “Predictive Self-Assembly of Polyhedra into Complex Structures,” Science 337
2012
Cited alongside, same era.
A. Stukowski, “Structure identification methods for atomistic simulations of crystalline materials,” Modelling and Simulation in Materials Science and Engineering 20
2012
Cited alongside, same era.
R. J. Largent, W. F. Polik, and J. R. Schmidt, “Symmetrizer: Algorithmic determination of point groups in nearly symmetric molecules,” Journal of Computational Chemistry 33
2012
Cited alongside, same era.
A. Malins, S. R. Williams, J. Eggers, and C. P. Royall, “Identification of structure in condensed matter with the topological cluster classification,” Journal of Chemical Physics 139
2013
Cited alongside, same era.
W. Mickel, S. C. Kapfer, G. E. Schröder-Turk, and K. Mecke, “Shortcomings of the bond orientational order parameters for the analysis of disordered particulate matter,” Journal of Chemical Physics 138
2013
Cited alongside, same era.
2018
Later among the works it cites.
H. Eslami, P. Sedaghat, and F. Müller-Plathe, “Local bond order parameters for accurate determination of crystal structures in two and three dimensions,” Physical Chemistry Chemical Physics 20
2018
Later among the works it cites.
M. Spellings and S. C. Glotzer, “Machine learning for crystal identification and discovery,” AIChE Journal 64
2018
Later among the works it cites.
E. Boattini, M. Ram, F. Smallenburg, and L. Filion, “Neural-network-based order parameters for classification of binary hard-sphere crystal structures,” Molecular Physics 116
2018
Later among the works it cites.
J. Wang, C. F. Mbah, T. Przybilla, B. Apeleo Zubiri, E. Spiecker, M. Engel, and N. Vogel, “Magic number colloidal clusters as minimum free energy structures,” Nature Communications 9
2018
Later among the works it cites.
P. K. Bommineni, N. R. Varela-Rosales, M. Klement, and M. Engel, “Complex Crystals from Size-Disperse Spheres,” Physical Review Letters 122
2019
Later among the works it cites.
H. Tanaka, H. Tong, R. Shi, and J. Russo, “Revealing key structural features hidden in liquids and glasses,” Nature Reviews Physics 1
2019
Later among the works it cites.
E. Boattini, M. Dijkstra, and L. Filion, “Unsupervised learning for local structure detection in colloidal systems,” The Journal of Chemical Physics 151
2019
Later among the works it cites.
J. Dshemuchadse, P. F. Damasceno, C. L. Phillips, M. Engel, and S. C. Glotzer, “Moving beyond the constraints of chemistry via crystal structure discovery with isotropic multiwell pair potentials,” Proceedings of the National Academy of Sciences 118
2021
Closest in time.
A. Božič, S. Franzini, and S. Čopar, “Global order parameters for particle distributions on the sphere,” Physics of Fluids 33
2021
Closest in time.