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Related papers: The GaAs Equilibrium Crystal Shape from First-Prin…

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The topology and the geometry of a surface play a fundamental role in determining the equilibrium configurations of thin films of liquid crystals. We propose here a theoretical analysis of a recently introduced surface Frank energy, in the…

Mathematical Physics · Physics 2015-06-18 Antonio Segatti , Michael Snarski , Marco Veneroni

First principles linear combinations of Gaussian type orbitals-fitting function (LCGTO-FF) electronic structure calculations are used to study thickness dependencies in the surface energies and work functions of ultra-thin (111) films of…

Strongly Correlated Electrons · Physics 2009-11-10 A. K. Ray , J. C. Boettger

The theoretical treatment of mixed-crystals is very demanding. A straight-forward approach to attack this problem is using a super cell method (SCM). Another one is the Virtual Crystal Approximation (VCA), which is a feature of the Vienna…

Materials Science · Physics 2025-11-25 Marsel Karmo , Hartmut Grille , Isaac Azahel Ruiz Alvarado

Ab initio calculations based on the density-functional pseudopotential approach have been used to study the fully relaxed structure, the electron distribution and the electronic density of states of (001) terraces, steps, corners and…

mtrl-th · Physics 2009-10-28 L. N. Kantorovich , J. M. Holender , M. J. Gillan

In order to predict the potential energy surface (PES) from measured structure in equilibrium state, one should typically perform trial-and-error statistical thermodynamic simulation with assumed multibody interactions. Very recently, we…

Disordered Systems and Neural Networks · Physics 2017-07-11 Koretaka Yuge

We consider both equilibrium and kinetic aspects of the phase separation (``thermal faceting") of thermodynamically unstable crystal surfaces into a hill--valley structure. The model we study is an Ising lattice gas for a simple cubic…

Condensed Matter · Physics 2009-10-22 Joel D. Shore , Dirk Jan Bukman

We derive a simple rule to determine surface plasmon energies, based on the geometrical properties of the surface of the metal. We apply this concept to obtain the surface plasmon energies in wedges, corners and conical tips. The results…

Materials Science · Physics 2011-03-16 R. Vincent , J. I. Juaristi , P. Apell

We consider nematic liquid crystals in a bounded, convex polyhedron described by a director field n(r) subject to tangent boundary conditions. We derive lower bounds for the one-constant elastic energy in terms of topological invariants.…

Mathematical Physics · Physics 2009-11-10 A Majumdar , JM Robbins , M Zyskin

Surface energy is fundamental in controlling surface properties and surface-driven processes like heterogeneous catalysis, as adsorption energy is. It is thus crucial to establish an effective scheme to determine surface energy and its…

Materials Science · Physics 2020-09-22 Bo Li , Xin Li , Wang Gao , Qing Jiang

Surface energies and surface elasticity largely affect the mechanical response of nanostructures as well as the physical phenomenon associated with surfaces such as evaporation and adsorption. Studying surface energies at finite…

Materials Science · Physics 2022-07-18 Shashank Saxena , Miguel Spinola , Prateek Gupta , Dennis M. Kochmann

Structural and optical properties of MBE-grown GaAs(001) surface have been studied by reflection high-energy electron diffraction and single-wavelength ellipsometry under dynamic conditions of ramp heating after desorption of passivating…

Materials Science · Physics 2009-11-10 Andrey V. Vasev , Sergey I. Chikichev

Ab initio self-consistent total energy calculations using second order Moller-Plesset perturbation theory and Hay-Wadt effective core potentials for gallium and arsenic have been used to investigate the chemisorption of atomic oxygen on the…

Condensed Matter · Physics 2007-05-23 Michael L. Mayo , Asok K. Ray

We present a systematic theoretical investigation of the surface properties, stability and reactivity, of rock-salt type alkaline-earth metal oxides including MgO, CaO, SrO, and BaO. The accuracy of commonly used exchange-correlation…

Materials Science · Physics 2015-06-23 Michal Bajdich , Jens K. Nørskov , Aleksandra Vojvodic

Computing equilibrium shapes of crystals (ESC) is a challenging problem in materials science that involves minimizing an orientation-dependent (i.e., anisotropic) surface energy functional subject to a prescribed mass constraint. The highly…

Numerical Analysis · Mathematics 2023-11-07 Zeyu Zhou , Wen Huang , Wei Jiang , Zhen Zhang

We report an ab initio evaluation of the surface energy of a simple metal, performed via a coupling-constant integration over the dynamical density-response function. The rapid rate of change of the electron density at the surface is…

Materials Science · Physics 2009-10-30 J. M. Pitarke , A. G. Eguiluz

The relaxation of axisymmetric crystal surfaces with a single facet below the roughening transition is studied via a continuum approach that accounts for step energy g_1 and step-step interaction energy g_3>0. For diffusion-limited…

Materials Science · Physics 2009-11-10 Dionisios Margetis , Michael J. Aziz , Howard A. Stone

The surface segregation of indium atoms in InGaAs is investigated using first-principles calculations based on density functional theory. Through the calculation of segregation energies for (100), (110), and (111) surfaces of GaAs we…

Materials Science · Physics 2020-10-28 Soumya S. Bhat , Satadeep Bhattacharjee , Jung-Hae Choi , Seung-Cheol Lee

On the basis of the zero-temperature grand canonical ensemble generalization of the energy E[N,N_s,v,B] for fractional particle N and spin N_s numbers, the energy surface over the (N,N_s) plane is displayed and analyzed in the case of…

Atomic Physics · Physics 2010-11-10 T. Gal , P. Geerlings

We derive the energy of the surface between the normal and superfluid components of a mixed phase of a system composed of two particle species with different densities. The surface energy is obtained by the integration of the free energy…

Superconductivity · Physics 2009-11-11 Heron Caldas

We study the effect of boundary rugosity in nematic liquid crystalline systems. We consider a highly general formulation of the problem, able to simultaneously deal with several liquid crystal theories. We use techniques of Gamma…

Analysis of PDEs · Mathematics 2021-08-26 Razvan-Dumitru Ceuca , Jamie M. Taylor , Arghir Zarnescu