A fingerprint based metric for measuring similarities of crystalline structures

被引:104
作者
Zhu, Li [1 ]
Amsler, Maximilian [1 ,2 ]
Fuhrer, Tobias [1 ]
Schaefer, Bastian [1 ]
Faraji, Somayeh [3 ]
Rostami, Samare [3 ]
Ghasemi, S. Alireza [3 ]
Sadeghi, Ali [4 ]
Grauzinyte, Migle [1 ]
Wolverton, Chris [2 ]
Goedecker, Stefan [1 ]
机构
[1] Univ Basel, Dept Phys, Klingelbergstr 82, CH-4056 Basel, Switzerland
[2] Northwestern Univ, Dept Mat Sci & Engn, Evanston, IL 60208 USA
[3] Inst Adv Studies Basic Sci, POB 45195-1159, Zanjan, Iran
[4] Shahid Beheshti Univ, Dept Phys, GC, Tehran 19839, Iran
基金
瑞士国家科学基金会;
关键词
NIGGLI REDUCTION; POTENTIALS; PREDICTION; GEOMETRY; DATABASE; SEARCH;
D O I
10.1063/1.4940026
中图分类号
O64 [物理化学(理论化学)、化学物理学];
学科分类号
070304 ; 081704 ;
摘要
Measuring similarities/dissimilarities between atomic structures is important for the exploration of potential energy landscapes. However, the cell vectors together with the coordinates of the atoms, which are generally used to describe periodic systems, are quantities not directly suitable as fingerprints to distinguish structures. Based on a characterization of the local environment of all atoms in a cell, we introduce crystal fingerprints that can be calculated easily and define configurational distances between crystalline structures that satisfy the mathematical properties of a metric. This distance between two configurations is a measure of their similarity/dissimilarity and it allows in particular to distinguish structures. The new method can be a useful tool within various energy landscape exploration schemes, such as minima hopping, random search, swarm intelligence algorithms, and high-throughput screenings. (C) 2016 AIP Publishing LLC.
引用
收藏
页数:9
相关论文
共 63 条
[31]   Transformation processes in LaAlO3:: Neutron diffraction, dielectric, thermal, optical, and Raman studies -: art. no. 054110 [J].
Hayward, SA ;
Morrison, FD ;
Redfern, SAT ;
Salje, EKH ;
Scott, JF ;
Knight, KS ;
Tarantino, S ;
Glazer, AM ;
Shuvaeva, V ;
Daniel, P ;
Zhang, M ;
Carpenter, MA .
PHYSICAL REVIEW B, 2005, 72 (05)
[32]   Commentary: The Materials Project: A materials genome approach to accelerating materials innovation [J].
Jain, Anubhav ;
Shyue Ping Ong ;
Hautier, Geoffroy ;
Chen, Wei ;
Richards, William Davidson ;
Dacek, Stephen ;
Cholia, Shreyas ;
Gunter, Dan ;
Skinner, David ;
Ceder, Gerbrand ;
Persson, Kristin A. .
APL MATERIALS, 2013, 1 (01)
[33]   CONTINUOUS SIMILARITY MEASURE BETWEEN NONOVERLAPPING X-RAY-POWDER DIAGRAMS OF DIFFERENT CRYSTAL MODIFICATIONS [J].
KARFUNKEL, HR ;
ROHDE, B ;
LEUSEN, FJJ ;
GDANITZ, RJ ;
RIHS, G .
JOURNAL OF COMPUTATIONAL CHEMISTRY, 1993, 14 (10) :1125-1135
[34]   The Open Quantum Materials Database (OQMD): assessing the accuracy of DFT formation energies [J].
Kirklin, Scott ;
Saal, James E. ;
Meredig, Bryce ;
Thompson, Alex ;
Doak, Jeff W. ;
Aykol, Muratahan ;
Ruehl, Stephan ;
Wolverton, Chris .
NPJ COMPUTATIONAL MATERIALS, 2015, 1
[35]   Efficient iterative schemes for ab initio total-energy calculations using a plane-wave basis set [J].
Kresse, G ;
Furthmuller, J .
PHYSICAL REVIEW B, 1996, 54 (16) :11169-11186
[36]   From ultrasoft pseudopotentials to the projector augmented-wave method [J].
Kresse, G ;
Joubert, D .
PHYSICAL REVIEW B, 1999, 59 (03) :1758-1775
[37]   The Hungarian Method for the assignment problem [J].
Kuhn, HW .
NAVAL RESEARCH LOGISTICS, 2005, 52 (01) :7-21
[38]   Highly optimized tight-binding model of silicon [J].
Lenosky, TJ ;
Kress, JD ;
Kwon, I ;
Voter, AF ;
Edwards, B ;
Richards, DF ;
Yang, S ;
Adams, JB .
PHYSICAL REVIEW B, 1997, 55 (03) :1528-1544
[39]   Identifying duplicate crystal structures: XTALCOMP, an open-source solution [J].
Lonie, David C. ;
Zurek, Eva .
COMPUTER PHYSICS COMMUNICATIONS, 2012, 183 (03) :690-697
[40]   The discovery of unexpected isomers in sodium heptamers by Born-Oppenheimer molecular dynamics [J].
Manuel Vasquez-Perez, Jose ;
Gamboa Martinez, Gabriel Ulises ;
Koester, Andreas M. ;
Calaminici, Patrizia .
JOURNAL OF CHEMICAL PHYSICS, 2009, 131 (12)