Real-space analysis of the exchange-correlation energy

1995 ◽  
Vol 56 (4) ◽  
pp. 199-210 ◽  
Author(s):  
Kieron Burke ◽  
John P. Perdew
Keyword(s):  
Correlation Energy ◽  
Real Space ◽  
Space Analysis ◽  
Exchange Correlation

Inelastic scattering at surfaces and interfaces

1986 ◽  
Vol 44 ◽  
pp. 392-393
Author(s):  
R. H. Ritchie ◽  
A. Howie
Keyword(s):  
Inelastic Scattering ◽  
Surface Properties ◽  
Correlation Energy ◽  
Condensed Matter ◽  
Charged Particles ◽  
Condensed Matter Physics ◽  
Optical Phonons ◽  
Exchange Correlation ◽  
Surfaces And Interfaces ◽  
Inelastic Interactions

An important part of condensed matter physics in recent years has involved detailed study of inelastic interactions between swift electrons and condensed matter surfaces. Here we will review some aspects of such interactions.Surface excitations have long been recognized as dominant in determining the exchange-correlation energy of charged particles outside the surface. Properties of surface and bulk polaritons, plasmons and optical phonons in plane-bounded and spherical systems will be discussed from the viewpoint of semiclassical and quantal dielectric theory. Plasmons at interfaces between dissimilar dielectrics and in superlattice configurations will also be considered.

Exchange-Correlation Energy Densities and Response Potentials: Connection Between Two Definitions and Analytical Model for the Strong-Coupling Limit of a Stretched Bond

2019 ◽  
Author(s):  
S. Giarrusso ◽  
Paola Gori-Giorgi
Keyword(s):  
Density Functional Theory ◽  
Strong Coupling ◽  
Density Functional ◽  
Correlation Energy ◽  
Order Term ◽  
Strong Coupling Limit ◽  
Local Form ◽  
Coupling Constant ◽  
Functional Theory ◽  
Exchange Correlation

We analyze in depth two widely used definitions (from the theory of conditional probablity amplitudes and from the adiabatic connection formalism) of the exchange-correlation energy density and of the response potential of Kohn-Sham density functional theory. We introduce a local form of the coupling-constant-dependent Hohenberg-Kohn functional, showing that the difference between the two definitions is due to a corresponding local first-order term in the coupling constant, which disappears globally (when integrated over all space), but not locally. We also design an analytic representation for the response potential in the strong-coupling limit of density functional theory for a model single stretched bond.<br>

Relativistic exchange-correlation energy functional: Gauge dependence of the no-pair correlation energy

1998 ◽  
Vol 58 (2) ◽  
pp. 993-1000 ◽  
Author(s):  
A. Facco Bonetti ◽  
E. Engel ◽  
R. M. Dreizler ◽  
I. Andrejkovics ◽  
H. Müller
Keyword(s):  
Correlation Energy ◽  
Pair Correlation ◽  
Energy Functional ◽  
Exchange Correlation ◽  
Gauge Dependence

Exchange-Correlation Energy as a Function of the Orbital Occupancies

2002 ◽  
pp. 253-261
Author(s):  
P. Pou ◽  
R. Oszwaldowski ◽  
R. Pérez ◽  
F. Flores ◽  
J. Ortega
Keyword(s):  
Correlation Energy ◽  
Exchange Correlation

NanoPDF64: software package for theoretical calculation and quantitative real-space analysis of powder diffraction data of nanocrystals

2017 ◽  
Vol 50 (6) ◽  
pp. 1821-1829 ◽  
Author(s):  
Kazimierz Skrobas ◽  
Svitlana Stelmakh ◽  
Stanislaw Gierlotka ◽  
Bogdan F. Palosz
Keyword(s):  
Powder Diffraction ◽  
Diffraction Data ◽  
Analytical Formula ◽  
Real Space ◽  
Distribution Functions ◽  
Powder Diffraction Data ◽  
Space Analysis ◽  
Atomic Vibrations ◽  
Hexagonal Close Packed Structure ◽  
Diffraction Patterns

NanoPDF64is a tool designed for structural analysis of nanocrystals based on examination of powder diffraction data with application of real-space analysis. The program allows for fast building of models of nanocrystals consisting of up to several hundred thousand atoms with either cubic or hexagonal close packed structure. The nanocrystal structure may be modified by introducing stacking faults, density modulation waves (i.e.the core–shell model) and thermal atomic vibrations. The program calculates diffraction patterns and, by Fourier transform, the reduced pair distribution functionsG(r) for the models. ExperimentalG(r)s may be quantitatively analyzed by least-squares fitting with an analytical formula.

Sign in / Sign up

Export Citation Format

Share Document