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[×ÊÔ´] ¡¾·ÖÏí¡¿Calculation of Ideal strength by ab initio DFT

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Ideal Shear Strengths of fcc Aluminum and Copper
D. Roundy, C. R. Krenn, Marvin L. Cohen, and J. W. Morris
Physical Review Letters 82 2713 (1999)
The ideal strength of tungsten [Inspec]
D. Roundy, C. R. Krenn, Marvin L. Cohen, and J. W. Morris
Philos. Mag. A 81, 1725 (2001).
Zhang, R. F., Sheng, S. H. and Veprek, S. (2007): Mechanical strengths of silicon nitrides studied by ab initio calculations, Appl. Phys. Lett. 90, 191903.
Zhang, R. F., Sheng, S. H. and Veprek, S. (2007): First principles studies of ideal strength and bonding nature of AlN polymorphs in comparison to TiN,  Appl. Phys. Lett. 91, 031906.

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Density functional theory (DFT) methods are often considered to be ab initio methods for determining the molecular electronic structure, even though many of the most common functionals use parameters derived from empirical data, or from more complex calculations. In DFT, the total energy is expressed in terms of the total one-electron density rather than the wave function.

ÏÂÃæÊÇab initio µÄ½éÉÜ From Wikipedia, the free encyclopedia
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The Latin term ab initio means from the beginning and is used in several contexts£¬
Ab initio quantum chemistry methods are computational chemistry methods based on quantum chemistry.[1] The term ab initio indicates that the calculation is from first principles and that no empirical data is used. Robert Parr claims in an interview that the term was first used in a letter to him by David Craig and was put into the manuscript of their paper on the excited states of benzene published in 1950.[2] [3]

The simplest type of ab initio electronic structure calculation is the Hartree¨CFock (HF) scheme, in which the instantaneous Coulombic electron-electron repulsion is not specifically taken into account.

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±ÈÈçProf. Hafner Ñо¿×é(VASP£© ¾Í½«Hartree-Fock¿´×÷Ò»ÖÖDFT ²ÎÕÕHafner, J. J Comput Chem 2008, 29, 2044.£¬
...the implementation of various DFT functionals [local-density approximation (LDA), generalized gradient approximation
(GGA), meta-GGA, hybrid functional mixing DFT, and exact (Hartree-Fock) exchange] and post-DFT approaches [DFT
+ U for strong electronic correlations ...
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DFT, ab initio calculations for solids were restricted, for a long time,
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¶øM C Prof. Payne (CASTEP)  ¶ÔÇø±ðºÜÃ÷È·J. Phys.: Condens. Matter 14 (2002) 2717¨C2744£©£¬
..First-principles simulation, meaning density-functional theory calculations
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