12 research outputs found
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Charge Accumulation at a Threading Edge Dislocation in GaN
We have performed Monte Carlo calculations to determine the charge accumulation on threading edge dislocations in GaN as a function of the dislocation density and background dopant density. Four possible core structures have been examined, each of which produces defect levels in the gap and may therefore act as electron or hole traps. Our results indicate that charge accumulation, and the resulting electrostatic interactions, can change the relative stabilities of the different core structures. Structures having Ga and N vacancies at the dislocation core are predicted to be stable under nitrogen-rich and gallium-rich growth conditions, respectively. Due to dopant depletion at high dislocation density and the multitude of charge states, the line charge exhibits complex crossover behavior as the dopant and dislocation densities vary
A Self-Consistent First-Principles Technique Having Linear Scaling
An algorithm for first-principles electronic structure calculations having a
computational cost which scales linearly with the system size is presented. Our
method exploits the real-space localization of the density matrix, and in this
respect it is related to the technique of Li, Nunes and Vanderbilt. The density
matrix is expressed in terms of localized support functions, and a matrix of
variational parameters, L, having a finite spatial range. The total energy is
minimized with respect to both the support functions and the elements of the L
matrix. The method is variational, and becomes exact as the ranges of the
support functions and the L matrix are increased. We have tested the method on
crystalline silicon systems containing up to 216 atoms, and we discuss some of
these results.Comment: 12 pages, REVTeX, 2 figure
Anisotropic Superexchange for nearest and next nearest coppers in chain, ladder and lamellar cuprates
We present a detailed calculation of the magnetic couplings between
nearest-neighbor and next-nearest-neighbor coppers in the edge-sharing
geometry, ubiquitous in many cuprates. In this geometry, the interaction
between nearest neighbor coppers is mediated via two oxygens, and the Cu-O-Cu
angle is close to 90 degrees. The derivation is based on a perturbation
expansion of a general Hubbard Hamiltonian, and produces numerical estimates
for the various magnetic energies. In particular we find the dependence of the
anisotropy energies on the angular deviation away from the 90 degrees geometry
of the Cu-O-Cu bonds. Our results are required for the correct analysis of the
magnetic structure of various chain, ladder and lamellar cuprates.Comment: 13 pages, Latex, 7 figure
Towards a Linear-Scaling DFT Technique: The Density Matrix Approach
A recently proposed linear-scaling scheme for density-functional
pseudopotential calculations is described in detail. The method is based on a
formulation of density functional theory in which the ground state energy is
determined by minimization with respect to the density matrix, subject to the
condition that the eigenvalues of the latter lie in the range [0,1].
Linear-scaling behavior is achieved by requiring that the density matrix should
vanish when the separation of its arguments exceeds a chosen cutoff. The
limitation on the eigenvalue range is imposed by the method of Li, Nunes and
Vanderbilt. The scheme is implemented by calculating all terms in the energy on
a uniform real-space grid, and minimization is performed using the
conjugate-gradient method. Tests on a 512-atom Si system show that the total
energy converges rapidly as the range of the density matrix is increased. A
discussion of the relation between the present method and other linear-scaling
methods is given, and some problems that still require solution are indicated.Comment: REVTeX file, 27 pages with 4 uuencoded postscript figure
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Linear scaling algorithms: Progress and promise
The goal of this laboratory-directed research and development (LDRD) project was to develop a new and efficient electronic structure algorithm that would scale linearly with system size. Since the start of the program this field has received much attention in the literature as well as in terms of focused symposia and at least one dedicated international workshop. The major success of this program is the development of a unique algorithm for minimization of the density functional energy which replaces the diagonalization of the Kohn-Sham hamiltonian with block diagonalization into explicit occupied and partially occupied (in metals) subspaces and an implicit unoccupied subspace. The progress reported here represents an important step toward the simultaneous goals of linear scaling, controlled accuracy, efficiency and transferability. The method is specifically designed to deal with localized, non-orthogonal basis sets to maximize transferability and state by state iteration to minimize any charge-sloshing instabilities and accelerate convergence. The computational demands of the algorithm do scale as the particle number, permitting applications to problems involving many inequivalent atoms. Our targeted goal is at least 10,000 inequivalent atoms on a teraflop computer. This report describes our algorithm, some proof-of-principle examples and a state of the field at the conclusion of this LDRD
Synthesis and Structural Study of Substituted Ternary Nitrides for Ammonia Production
Over the past few decades, inorganic nitride materials have grown in importance in part due to their potential as catalysts for the synthesis of NH3, a key ingredient in fertilizer and precursor to industrial chemicals. Of particular interest are the ternary (ABN) or higher-order nitrides with high metal-to-nitrogen ratios that show promise in enhancing NH3 synthesis reaction rates and yields via heterogeneous catalysis or chemical looping. Although metal nitrides are predicted to be numerous, the stability of nitrogen triple bonds found in N2, especially in comparison to the metal-nitrogen bonds, has considerably hindered synthetic efforts to produce complex nitride compounds. In this study, we present an exhaustive down-selection process to identify ternary nitrides for a promising chemical looping NH3 production mechanism. We also report on a facile and efficient two-step synthesis method that can produce well-characterized η-carbide Co3Mo3N/Fe3Mo3N or filled β-manganese Ni2Mo3N ternaries, as well as their associated quaternary, (Co,Fe)3Mo3N, (Fe,Ni)2Mo3N, and (Co,Ni)2Mo3N, solid solutions. To further explore the quaternary space, syntheses of (Co,Ni)3Mo3N (Ni ≤ 10 mol %) and Co3(Mo,W)3N (W ≤ 10 mol %) were also investigated. The structures of the nitrides were characterized via X-ray powder diffraction. The morphology and compositions were characterized with scanning electron microscopy. The multitude of chemically unique, but structurally related, nitrides suggests that properties such as nitrogen activity may be tunable, making the materials of great interest for NH3 synthesis schemes. © 2023 American Chemical Society.This material is based on work supported by the U.S.Department of Energy under award no. DE-EE0034250. Theauthors wish to acknowledge the team and institutionsinvolved in this work: Arizona State University, Sandia National Laboratories, and Georgia Institute of Technology.The assistance in nitride synthesis by Nathaniel Anbar, SyedShakeel, and Jarett Prince is also greatly acknowledged. Wegratefully acknowledge the use of facilities within the EyringMaterials Center at Arizona State University supported in partby NNCI-ECCS-1542160, and in particular David Wright forhis above-and-beyond help and support with our firstsuccessful nitride synthesis. This article has been authored byan employee of National Technology & Engineering Solutions of Sandia, LLC under Contract No. DE-NA0003525 with the U.S. Department of Energy (DOE). The employee owns allright, title and interest in and to the article and is solelyresponsible for its contents. The United States Governmentretains and the publisher, by accepting the article forpublication, acknowledges that the United States Governmentretains a non-exclusive, paid-up, irrevocable, world-wide licenseto publish or reproduce the published form of this article orallow others to do so, for United States Government purposes.The DOE will provide public access to these results of federallysponsored research in accordance with the DOE Public AccessPlan https://www.energy.gov/downloads/doe-public-access-plan. This paper describes objective technical results andanalysis. Any subjective views or opinions that might beexpressed in the paper do not necessarily represent the views ofthe U.S. Department of Energy or the United States Government.Ternary nitride down-selection with non-metals andCo3Mo3N sample screening (Supporting Information)Peer reviewe