Kohn-Sham
Coarse-Graining Kohn-Sham Density Functional Theory
... The plane-wave basis is one of the most-frequently used basis for solving the Kohn-Sham problem (Kresse and Furthmüller (1996); Segall et al. (2002); Gonze et al. (2002); Ismail-Beigi and Arias (2000)) ...
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The Pursuit of Fallacy in Density Functional Theory: The Quest for Exchange and Correlation, the Rigorous Treatment of Exchange in the Kohn Sham Formalism and the Continuing Search for Correlation
... As shown in I, functional differentiation interpreted as a rate of change can proceed rigorously through the use of the Dirac delta function in place of the arbitrary test function. This leads to the determination of ...
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A Variational Framework for Spectral Discretization of the Density Matrix in Kohn-Sham Density Functional Theory
... My PhD work is focused on the approximation methods of the density matrix. The basis of density matrix methods lies in the commutativity between the density matrix and the Kohn- Sham Hamiltonian matrix, ...
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Accelerating Kohn–Sham response theory using density fitting and the auxiliary density matrix method
... of Kohn-Sham density-functional theory with approximate treatment of the Coulomb and Exchange contributions to the response equations via the popular resolution-of-the-identity approximation as well as the ...
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Hybrid ab initio Kohn-Sham density functional theory/frozen-density orbital-free density functional theory simulation method suitable for biological systems
... initio Kohn-Sham DFT, while a frozen-density orbital- free 共FDOF兲 DFT method, which scales linearly with the number of atoms, is used for the rest of the ...
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Kohn Sham density functional theory calculations of non resonant and resonant X ray emission spectroscopy
... the Kohn-Sham calculation is computationally less expensive than TDDFT, since the additional TDDFT calculation is not required and the spectra for all core orbitals can be obtained from the same ...a ...
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Calculating excited state properties using Kohn Sham density functional theory
... The accuracy of excited states calculated with Kohn-Sham density functional theory using the maximum overlap method has been assessed for the calculation of adiabatic excitation energies[r] ...
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Theory of Model Kohn-Sham Potentials and its Applications
... the Kohn–Sham ...use Kohn–Sham orbitals as a basic ...of Kohn–Sham orbitals is known only under the λ-transformation of the ...the Kohn–Sham orbitals φ i (r) [2, ...
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Kohn–Sham energy decomposition for molecules in a magnetic field
... In this work, we extend our study of BDFT to a broader range of molecules, including larger molecules and closed-shell paramagnetic molecules, taking advantage of recent field-dependent implementations of relaxed ...
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Origin of static and dynamic steps in exact Kohn-Sham potentials
... Knowledge of exact properties of the exchange-correlation (xc) functional is important for im- proving the approximations made within density functional theory. Features such as steps in the exact xc potential are known ...
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Fractional Charge Methods for Correcting Approximate Kohn-Sham Potentials
... [37] M. J. Frisch, G. W. Trucks, H. B. Schlegel, G. E. Scuseria, M. A. Robb, J. R. Cheeseman, G. Scalmani, V. Barone, B. Mennucci, G. A. Petersson, H. Nakatsuji, M. Caricato, X. Li, H. P. Hratchian, A. F. Izmaylov, J. ...
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The long-wavelength behaviour of the exchange-correlation kernel in the Kohn-Sham theory of periodic systems
... In order for the change in exchange-correlation field δExc to be finite when a finite change of polarization δP takes place, the head of the exact exchange-correlation kernel matrix, Kxc[r] ...
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Grimm, Stephan (2005): Theoretische Untersuchung von pi-Bindungssystemen im Restricted Open Shell Kohn-Sham-Modell. Dissertation, LMU München: Fakultät für Chemie und Pharmazie
... es l¨ aßt sich mit Hilfe des Pauli-Prinzips interpretieren: Wenn die beiden Elektronen den gleichen Spin haben, so k¨ onnen sie sich nicht im gleichen Orbital befinden und werden deshalb[r] ...
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Accelerating Kohn–Sham response theory using density fitting and the auxiliary density matrix method
... Mean errors, standard deviations in paranthesis and maximum absolute errors in square brackets compared to aug-pcseg-4 reference calculations are given in ma.u... Mean errors, standard d[r] ...
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Exact exchange-correlation kernels for optical spectra of model systems
... and Kohn-Sham (dashed purple) ...and Kohn-Sham systems; the bottom inset shows the third excitation (fourth in the KS system) in more detail, which is the next to appear after the first ...
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Magnetic field density functional theory (BDFT): lessons from the adiabatic connection
... magnetic fields. To examine and understand the performance of exact DFT and of DFAs in magnetic fields, we extend the studies of AC curves to include a magnetic field, within the framework of BDFT. We consider two ...
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Alternative representations of the correlation energy in density functional theory: a kinetic energy based adiabatic connection
... Further investigation of this aspect will be carried out in future work. In particular, a better description of this limit will be useful for the construction of Kohn–Sham correla- tion functionals based ...
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Emerging DFT Methods and Their Importance for Challenging Molecular Systems with Orbital Degeneracy
... W. Kohn (Walter Kohn received—shared with John ...the Kohn–Sham (KS) scheme made DFT a practical theory for all kind of electronic structure calculations, as it is often implemented today ...
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Solar Energy Harvesting with Fe(II)-polypyridines: Strategies for Tuning the Light Absorption and Interfacial Electron Transfer.
... Metal centered Kohn-Sham natural orbitals of complex 6 in quintet spin state in vacuum calculated using B3LYP with 6-31G* (non-metal atoms) and SDD (Fe atom).. The isovalue displayed [r] ...
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New Orbital Free Approach for Density Functional Modeling of Large Molecules and Nanoparticles
... Development of the orbital-free (OF) approach of the density functional theory (DFT) may result in a power instrument for modeling of complicated nanosystems with a huge number of atoms. A key problem on this way is ...
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