A generalized solid-state nudged elastic band method

被引:545
作者
Sheppard, Daniel [1 ]
Xiao, Penghao [1 ]
Chemelewski, William [2 ]
Johnson, Duane D. [2 ]
Henkelman, Graeme [1 ]
机构
[1] Univ Texas Austin, Dept Chem & Biochem, Austin, TX 78712 USA
[2] Univ Illinois, Dept Mat Sci & Engn, Urbana, IL 61801 USA
基金
美国国家科学基金会;
关键词
cadmium compounds; crystal structure; deformation; density functional theory; elasticity; II-VI semiconductors; nucleation; solid-state phase transformations; wide band gap semiconductors; OMEGA-MARTENSITIC-TRANSFORMATION; MINIMUM ENERGY PATHS; SADDLE-POINTS; TITANIUM; DYNAMICS;
D O I
10.1063/1.3684549
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
A generalized solid-state nudged elastic band (G-SSNEB) method is presented for determining reaction pathways of solid-solid transformations involving both atomic and unit-cell degrees of freedom. We combine atomic and cell degrees of freedom into a unified description of the crystal structure so that calculated reaction paths are insensitive to the choice of periodic cell. For the rock-salt to wurtzite transition in CdSe, we demonstrate that the method is robust for mechanisms dominated either by atomic motion or by unit-cell deformation; notably, the lowest-energy transition mechanism found by our G-SSNEB changes with cell size from a concerted transformation of the cell coordinates in small cells to a nucleation event in large cells. The method is efficient and can be applied to systems in which the force and stress tensor are calculated using density functional theory. (C) 2012 American Institute of Physics. [http://dx.doi.org/10.1063/1.3684549]
引用
收藏
页数:8
相关论文
共 15 条
[1]   Finding transition states for crystalline solid-solid phase transformations [J].
Caspersen, KJ ;
Carter, EA .
PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 2005, 102 (19) :6738-6743
[2]   Improved tangent estimate in the nudged elastic band method for finding minimum energy paths and saddle points [J].
Henkelman, G ;
Jónsson, H .
JOURNAL OF CHEMICAL PHYSICS, 2000, 113 (22) :9978-9985
[3]   A climbing image nudged elastic band method for finding saddle points and minimum energy paths [J].
Henkelman, G ;
Uberuaga, BP ;
Jónsson, H .
JOURNAL OF CHEMICAL PHYSICS, 2000, 113 (22) :9901-9904
[4]   Theoretical calculations of CH4 and H2 associative desorption from Ni(111):: Could subsurface hydrogen play an important role? -: art. no. 044706 [J].
Henkelman, G ;
Arnaldsson, A ;
Jónsson, H .
JOURNAL OF CHEMICAL PHYSICS, 2006, 124 (04)
[5]   Impurities block the α to ω martensitic transformation in titanium [J].
Hennig, RG ;
Trinkle, DR ;
Bouchet, J ;
Srinivasan, SG ;
Albers, RC ;
Wilkins, JW .
NATURE MATERIALS, 2005, 4 (02) :129-133
[6]   Nonadiabaticity in the iron bcc to hcp phase transformation [J].
Johnson, Donald F. ;
Carter, Emily A. .
JOURNAL OF CHEMICAL PHYSICS, 2008, 128 (10)
[7]  
Jonsson G., 1998, CLASSICAL QUANTUM DY, P1, DOI [10.1142/9789812839664_0016, DOI 10.1142/9789812839664_0016]
[8]   From ultrasoft pseudopotentials to the projector augmented-wave method [J].
Kresse, G ;
Joubert, D .
PHYSICAL REVIEW B, 1999, 59 (03) :1758-1775
[9]   bcc-to-hcp transformation pathways for iron versus hydrostatic pressure: Coupled shuffle and shear modes [J].
Liu, J. B. ;
Johnson, D. D. .
PHYSICAL REVIEW B, 2009, 79 (13)
[10]   SPECIAL POINTS FOR BRILLOUIN-ZONE INTEGRATIONS [J].
CHADI, DJ .
PHYSICAL REVIEW B, 1977, 16 (04) :1746-1747