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相关论文: MP2-F12 Basis Set Convergence for the S66 Noncoval…

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We have developed a new basis set family, denoted aug-cc-pVnZ-F12 (or aVnZ-F12 for short), for explicitly correlated calculations. The sets included in this family were constructed by supplementing the corresponding cc-pVnZ-F12 sets with…

化学物理 · 物理学 2017-12-27 Nitai Sylvetsky , Manoj Kumar Kesharwani , Jan M. L. Martin

Explicitly correlated calculations, aside from the orbital basis set, typically require three auxiliary basis sets: JK (Coulomb-exchange fitting), RI-MP2 (resolution of the identity MP2), and CABS (complementary auxiliary basis set). If…

化学物理 · 物理学 2022-08-24 Emmanouil Semidalas , Jan M. L. Martin

We have developed and benchmarked a new extended basis set for explicitly correlated calculations, namely cc-pV5Z-F12. It is offered in two variants, cc-pV5Z-F12 and cc- pV5Z-F12(rev2), the latter of which has additional basis functions on…

化学物理 · 物理学 2015-07-16 Kirk A. Peterson , Manoj Kumar Kesharwani , Jan M. L. Martin

We investigate the use of optimized correlation consistent gaussian basis sets for the study of insulating solids with auxiliary-field quantum Monte Carlo (AFQMC). The exponents of the basis set are optimized through the minimization of the…

化学物理 · 物理学 2021-02-03 Miguel A. Morales , Fionn D. Malone

The performance of basis sets made of numerical atomic orbitals is explored in density-functional calculations of solids and molecules. With the aim of optimizing basis quality while maintaining strict localization of the orbitals, as…

材料科学 · 物理学 2009-11-07 Javier Junquera , Oscar Paz , Daniel Sanchez-Portal , Emilio Artacho

Methods of the explicitly correlated F12 approach are applied to the problem of calculating the uncoupled second-order dispersion energy in symmetry-adapted perturbation theory. The accuracy of the new method is tested for noncovalently…

化学物理 · 物理学 2018-05-15 Michal Przybytek

A recently developed model chemistry (denoted as junChS [Alessandrini et al J. Chem. Theory Comput. 2020, 16, 988-1006]) has been extended to the employment of explicitly-correlated (F12) methods. This led us to propose a family of…

化学物理 · 物理学 2021-10-08 Jacopo Lupi , Silvia Alessandrini , Cristina Puzzarini , Vincenzo Barone

Relativistic basis sets of quintuple-zeta quality are presented for the s-block elements. The basis sets include SCF exponents for the occupied spinors and for the np shell (the latter is considered here a valence orbital). Valence and core…

An accurate description of electron correlation energies in molecules requires either basis set extrapolation or the use of explicitly-correlated wave functions that address the deficiencies of standard determinantal expansions at short…

化学物理 · 物理学 2025-12-09 Samuel R. Powell , Edward F. Valeev

Mutually Unbiased Bases (MUBs) are closely connected with quantum physics, and the structure has a rich mathematical background. We provide equivalent criteria for extending a set of MUBs for $C^n$ by studying real points of a certain…

离散数学 · 计算机科学 2025-07-04 Arindam Banerjee , Kanoy Kumar Das , Ajeet Kumar , Rakesh Kumar , Subhamoy Maitra

There are fairly large families of unitarily inequivalent complete sets of N+1 mutually unbiased bases (MUBs) in C^N for various prime powers N. The number of such sets is not bounded above by any polynomial as a function of N. While it is…

组合数学 · 数学 2015-05-27 W. K. Kantor

In pursuit of a minimal basis for systems with non-ideal bond angles, in this work we try to pinpoint the exact orientation of the major overlapping orbitals along the nearest neighbouring coordination segments in a given system such that…

材料科学 · 物理学 2022-09-14 Joydev De , Sujith N S , Manoar Hossain , Joydeep Bhattacharjee

The Bethe Ansatz is a method for constructing exact eigenstates of quantum-integrable spin chains. Recently, deterministic quantum algorithms, referred to as "algebraic Bethe circuits", have been developed to prepare Bethe states for the…

量子物理 · 物理学 2025-07-29 Roberto Ruiz , Alejandro Sopena , Esperanza López , Germán Sierra , Balázs Pozsgay

Most modern calculations of many-electron atoms use basis sets of atomic orbitals. An accurate account for the electronic correlations in heavy atoms is very difficult computational problem and optimization of the basis sets can reduce…

原子物理 · 物理学 2024-01-17 M. G. Kozlov , Yu. A. Demidov , M. Y. Kaygorodov , E. V. Triapitsyna

We used quantum chemical ab initio methods to determine the effective parameters of Hubbard and $t-J$ models for the $\rm Na_{x}CoO_2$ compounds (x=0 and 0.5). As for the superconducting compound we found the $a_{1g}$ cobalt orbitals above…

强关联电子 · 物理学 2010-07-26 Sylvain Landron , Soret Julien , Marie-Bernadette Lepetit

Relativistic quintuple-zeta basis sets for the p elements are presented. The basis sets for the occupied spinors were optimized at the Dirac-Coulomb self-consistent field (SCF) level on the ground configurations. Valence and core…

In this paper, we propose compactly supported radial basis functions for solving some well- known classes of astrophysics problems categorized as non-linear singular initial ordinary dif- ferential equations on a semi-infinite domain. To…

数值分析 · 数学 2016-05-31 Kourosh Parand , Mohammad Hemami

Reduction of a state of a quantum system to a subsystem gives partial quantum information about the true state of the total system. Two subalgebras A1 and A2 of B(H) are called complementary if the traceless subspaces of A1 and A2 are…

量子物理 · 物理学 2009-11-13 Denes Petz

Non-covalent interactions (NCIs) play a crucial role in biology, chemistry, material science, and everything in between. To improve pure quantum-chemical simulations of NCIs, we propose a methodology for constructing approximate correlation…

We extend Babinet's relations, which are originally derived for transmissive metasurfaces, to reflective metasurfaces embedding planar metallic structures in a substrate containing a reflection mirror. To verify the extended Babinet's…

光学 · 物理学 2024-09-05 Takayoshi Fujikawa , Toshihiro Nakanishi
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