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Double Lattice Inversion Technique — Application to the EAM Potential Construction

✍ Scribed by R. Laskowski


Publisher
John Wiley and Sons
Year
2000
Tongue
English
Weight
125 KB
Volume
222
Category
Article
ISSN
0370-1972

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✦ Synopsis


The embedded atom model (EAM) has been proved to be a very effective and powerful approach to energy calculation in metals. In the current work, we present a new approach to the construction of the EAM potential. The EAM functions are determined in a way to reproduce exactly two state equations defined for unit cells of two different metal structures. Our method is in some sense an extension of the lattice inversion algorithm proposed by Carlsson et al. (Phil Mag. A 41, 241 (1980)), where the resulting pair potential reconstructs only one given state equation. The inversion technique has been applied before to the construction of a pair potential and embedded atom potential from a single state equation. Using two input state equations we can determine only two functions, thus, we construct the pair potential and embedding function. The atomic charge density is taken from first-principle calculation. As an example, we apply our method to the determination of the EAM potential for solid lead. In order to estimate the quality of this potential, some bulk and defect properties are also calculated.


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Analytical solution of the Schrödinger e
✍ Timothy D. Davis; Ralph E. Christoffersen 📂 Article 📅 1973 🏛 Elsevier Science 🌐 English ⚖ 381 KB

An exact solution is obtained for the one-dimensional time-independent Schrijdineer equation with a symmetric double minimum potential constructed from two Morse potentials. This model potential is used to describe the inversion motions in NHa, NDa, and NTa, and its adequacy is discussed.