Effective core potential

The pseudopotential is an attempt to replace the complicated effects of the motion of the core (i.e. non-valence) electrons of an atom and its nucleus with an effective potential, or pseudopotential, so that the Schrödinger equation contains a modified effective potential term instead of the Coulombic potential term for core electrons normally ...

1. Introduction. Relativistic effective core potential (RECP) methods, also called relativistic pseudopotential (PP) methods, are probably the most successful approximate methods for the various properties of molecules containing heavy atoms, since RECP calculations economically yield results that are very close to the all-electron …The performance of popular Hartree-Fock-based effective core potentials in Hartree-Fock and density functional calculations of 3d transition metals has been evaluated by basis-set convergence studies for ten cases: the equilibrium bond dissociation energy (De) for dissociation of ground-state Ti2 to ground and excited atoms, the ground-state dissociation energies of FeO, Cu2, ScH, TiH, Sc2 ...tive core potentials (ECP) have been being used widely to date for many types of molecules, due to their advantages [8, 20, 21]. Using ECP basis sets, helps to reduce the computational cost significantly, over the all electron basis sets, by replacing complete group of the inner electrons with a representative effective core potential [1, 22, 23].Sadlej’s electric polarization method of Gaussian basis functions was applied to the double-zeta effective core potential basis sets of Stevens, Basch, Krauss, Jasien and Cundari to generate a new augmented polarized valence double-zeta set, named as pSBKJC, which is appropriate for the calculation of dynamic polarizabilities and Raman …The 6-311+G* basis set is not defined for bromine and iodine; hence, for these atoms, we applied LANL2DZ basis with effective core potential, which was successfully used in conjunction with Pople ...Effective core potential calculations were performed by using the Los Alamos single- and double-ζ basis sets. In addition relativistic effective core potential calculations were employed.

The greatest computational savings are achieved when the two-component relativistic effective core potential (RECP) approximation suggested originally by Lee et al. [56] is used (e.g., see reviews ...Oct 15, 2018 · 2018-10-15 Update 2nd row He-core ccECPs to be consistent with JCP (2018) potentials. 2018-05-21 Added ccECPs for 2nd and 3rd row from Abdulgani Annaberdiyev (2018) and Chandler Bennett (2018). 2018-04-12 Added Trail-Needs CEPP (2015) and eCEPP (2017) potentials, basis sets, and orbitals. 2018-02-22 Add RRKJ and TM potentials for 3d elements. Effective core potential integral and gradient evaluations are accelerated via implementation on graphical processing units (GPUs). Two simple formulas are proposed to estimate the upper bounds of ...We introduce new correlation consistent effective core potentials (ccECPs) for the elements I, Te, Bi, Ag, Au, Pd, Ir, Mo, and W with 4d, 5d, 6s and 6p valence …Both of these problems stem from the presence of large numbers of core electrons and, given that such electrons do not play a significant direct role in chemical behavior, it is natural to ask whether it is possible to model their effects in some simpler way. Such enquiries led to the invention of Effective Core Potentials (ECPs) or pseudopotentials.The effective core potential (ECP) approximation has been vital in electronic structure calculations for several decades. An ECP is used to replace an atom's core (nucleus and tightly bound electrons) and is constructed to mimic the original core's effects on the valence electrons. This approximation provides important benefits such as the ...The use of the effective core potential or pseudopotential approvimation [2] (ECPA) will enable one to circum- vent tins practical difficulty and to open a way of ap plymg the energy gradient method to systems s^ich as transition metal complexes 2. Methods In the ECPA, core electrons are omitted and the ef- fective local or.e-electron potential ...LANL2DZ effective core potential (ECP) for Rh. Single-point corrections were calculated using B3LYP-D3(BJ) functional with the 6-311+G(d,p)26 basis set for all nonmetal atoms and the LANL2DZ the effective core potential for Rh. The transi-tion state geometries were obtained by positioning the two intermeshed triptycene blades 30° off their ...

The present manuscript discusses the two branches of e ective core potential (ECP) approaches, i.e., the model potential (MP) and the pseudopotential (PP) tech-niques. The main focus is on those ECP schemes which proved to be successful in atomic and molecular relativistic electronic structure calculations during the pastThus effective core potential methods, particularly when coupled with emerging technologies such as parallel supercomputing, constitute an exciting approach towards the goal of developing methods for addressing the chemistry of the entire Periodic Table. Acknowledgments T.R.C. wishes to acknowledge the Petroleum Research Fund (administered by ...The relevant key words are, for example, B3LYP/Gen pseudo=cards. Also, the effective core potential and the related basis set need to be placed explicitly after the coordinates of atoms in the ...An improved effective core potential (ECP) technique is described and used to give ECP parameters for the atoms of the first two rows of the periodic table. A …Fermionic Neural Network with Effective Core Potential Xiang Li ByteDance Inc, Zhonghang Plaza, No. 43, North 3rd Ring West Road, Haidian District, Beijing. {lixiang.62770689, renweiluo}@bytedance.com Cunwei Fan Department of Physics and Institute for Condensed Matter Theory, University of Illinois 1110 W. Green Street, Urbana, IL 61801, U.S.A ...8 Essential Qualities of Successful Leaders. Summary. Becoming a great leader is a journey of continuous learning and growth. It's a process — one that thrives on embracing challenges, seeking ...

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For transition metals, we used the small-core, quasi-relativistic Stuttgart/Dresden effective core potential with the associated triple-ζ valence basis set (standard SDD keywords in Gaussian09). All complexes were considered in the singlet electronic state with the exception of the Mn-based systems, for which a triplet state was …EFFECTIVE CORE POTENTIALS MICHAEL DOLG Institut f ur Physikalische und Theoretische Chemie, Wegelerstr. 12, 53115 Bonn Germany E-mail: [email protected] …Aug 28, 2020 · 8.10 Introduction to Effective Core Potentials (ECPs) The application of quantum chemical methods to elements in the lower half of the Periodic Table is more difficult than for the lighter atoms. There are two key reasons for this: •. the number of electrons in heavy atoms is large. •. relativistic effects in heavy atoms are often non-negligible. Embedding potentials Instead of 'replacing' only an atomic core by an effective one-electron operator (ECP), the complete surrounding environment of a system (in a crystal) is 'replaced' by an effective potential: the embedding potential → see presentation given by L. Seijo D. Andrae, U Bielefeld — Bonn — 2003-07-26 41The greatest computational savings are achieved when the two-component relativistic effective core potential (RECP) approximation suggested originally by Lee et al. [56] is used (e.g., see reviews ...

Effective core potential integral and gradient evaluations are accelerated via implementation on graphical processing units (GPUs). Two simple formulas are proposed to estimate the upper bounds of the integrals, and these are used for screening. A sorting strategy is designed to balance the workload …Abstract: The ab initio model potential method and its applications to atoms, molecules, and solids are reviewed here stressing its main characteristic of enabling a common computational strategy for effective core potential calculations in molecules and embedded cluster calculations of defects in solids and surface chemistry. As an effective core potential method it is shown to be very close ...The generalized relativistic effective core potential (GRECP) method is analyzed from theoretical and computational points of view. The Hamiltonian in the frozen-core approximation is compared with the Hamiltonian containing the GRECP operator. It is demonstrated that the GRECP operator can be derived from rather natural physical …The computational investigations of lanthanide complexes using relativistic effective core potential (ECP) [60][61][62] in conjugation with density functional theory (DFT) provide accurate results ...Using effective core potentials to account for inner electrons enhances the precision of vertical excitation and ionization energies. This approach has proved effective in computing ground state energies for elements like Lithium to Gallium and in calculating energy levels and wave functions for atoms and molecules with second and fourth period ...An effective core potential system has been developed for heavy atoms in which relativistic effects are included in the effective potentials (EP). The EP's are based on numerical Dirac-Hartree-Fock … Expand. 204. Save. Relativistic effects in ab initio effective core potentials for molecular calculations. Applications to the uranium atomWe would like to show you a description here but the site won't allow us.Very recently, we introduced a set of correlation consistent effective core potentials (ccECPs) constructed within full many-body approaches. By employing significantly more accurate correlated approaches, we were able to reach a new level of accuracy for the resulting effective core Hamiltonians. We also strived for simplicity of …

We introduce new correlation consistent effective core potentials (ccECPs) for the elements I, Te, Bi, Ag, Au, Pd, Ir, Mo, and W with 4d, 5d, 6s, and 6p valence spaces. These ccECPs are given as a sum of spin-orbit averaged relativistic effective potential (AREP) and effective spin–orbit (SO) terms.

The effective potentials mimic the action of the core on valence states and allow for valence-only calculations with resulting gains in efficiency. On a quantitative …Barasiey's effective core potential [37] and by using a good quality basis set- As we have recently discussed in detail [381, this - originally atomic potential leads to an unbalanced treatment of core polarzation effects in molecules since it lacks electron-other core polarization contributions. Indeed. the OcuIations apparently exaggerate the ...Relativistic quantum mechanical techniques based on the Dirac-Fock equation and relativistic effective core potentials are outlined. All-electron results and the corresponding results obtained through the use of RECPs are compared, when all-electron results are available. Representative results on the ground and excited electronic states are also presented.Effective core potentials (ECPs) are widely used in electronic structure calculations of molecular and condensed systems. ECPs simplify these calculations by eliminating the core electrons, which usually do not significantly contribute to the valence electronic structure. ... having in mind potential high-pressure applications. The discrepancy ...In previous work we have shown that the PBE0 hybrid density functional method with the MG3 all-electron basis set is an accurate method for calculating the atomization energies of small aluminum clusters (Al 2-Al 7).However, the MG3 basis set is very expensive for molecules much larger than Al 13; therefore, we have developed a new effective core …A new 11-electron relativistic effective core potential (11e-RECP) for Ag atom based on correlated level of theory and the associated atomic orbital (AO) basis set have been derived which allows for an accurate determination of excited states. This has been verified by comparing the calculated excited states of the dimer with experimental …Abstract. A brief overview over the foundations and modern variants of the relativistic effective core potential method, i.e., energy-consistent and shape-consistent ab initio pseudopotentials as well as ab initio model potentials, is given. The energy-consistent ab initio pseudopotential approach is discussed in more detail, focussing on …For the Cl atom, we use an AREP type, correlation consistent effective core potential (ccECP) with 7 valence electrons [35]. The high accuracy of this ECP was demonstrated in the original paper ...Introduction. Relativistic effective core potential (RECP) methods, also called relativistic pseudopotential (PP) methods, are probably the most successful approximate methods for the various properties of molecules containing heavy atoms, since RECP calculations economically yield results that are very close to the all-electron results without introducing any empirical parameters [1, 2, 3, 4].Effective core potentials (ECPs) and closely related pseudopotentials provide a well-known technique for simplifying electronic structure calculations to valence-only degrees of freedom. The ECP Hamiltonians replace the core states by potentials with projectors that mimic the action of the core on the valence electrons with different …

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[Show full abstract] (FermiNet) with the effective core potential method, which helps to reduce the complexity of the problem by replacing inner core electrons with additional semilocal potential ...The generalized relativistic effective core potential (GRECP) method is analyzed from theoretical and computational points of view. The Hamiltonian in the frozen-core approximation is compared with the Hamiltonian containing the GRECP operator. It is demonstrated that the GRECP operator can be derived from rather natural physical grounds and ... 有効内核ポテンシャル（英: effective core potential, ECP）とも呼ばれる。 こうした擬ポテンシャルは、内核電子が与える静電相互作用や交換相関相互作用とは全く無関係に、原子核から或る半径よりも外側では、波動関数が全電子計算の結果と一致することだけ ... calculation of effective core potential (ECP) integrals in quantum chemistry codes - GitHub - chrr/libECP: calculation of effective core potential (ECP) integrals in quantum chemistry codes 9 Effective Core Potentials. 9.1 Introduction; 9.2 ECP Fitting; 9.3 Built-In ECPs. 9.3.0.1 Combining ECPs; 9.3.0.2 Examples; 9.4 User-Defined ECPs; 9.5 ECPs and Electron Correlation; 9.6 Forces and Vibrational Frequencies with ECPs; 9.7 A Brief Guide to Q-Chem ’s Built-In ECPs; 10 Exploring Potential Energy Surfaces: Critical Points and ...Feb 4, 2012 · Sadlej’s electric polarization method of Gaussian basis functions was applied to the double-zeta effective core potential basis sets of Stevens, Basch, Krauss, Jasien and Cundari to generate a new augmented polarized valence double-zeta set, named as pSBKJC, which is appropriate for the calculation of dynamic polarizabilities and Raman intensities. The pSBKJC basis set was developed for the ... The potential curve, dissociation energy, equilibrium internuclear distance, and spectroscopic constants for the ground state of the Ca2 molecule are calculated with the help of the generalized relativistic effective core potential method which allows one to exclude the inner core electrons from the calculations and to take the relativistic effects into account effectively. Extensive ... # # Author: Qiming Sun <[email protected]> # ''' Effective core potential (ECP) This module exposes some ecp integration functions from the C implementation. Reference for ecp integral computation * Analytical integration J. Chem. Phys. 65, 3826 J. Chem. Phys. 111, 8778 J. Comput. Phys. 44, 289 * Numerical integration J. Comput. 1. Introduction. Relativistic effective core potential (RECP) methods, also called relativistic pseudopotential (PP) methods, are probably the most successful approximate methods for the various properties of molecules containing heavy atoms, since RECP calculations economically yield results that are very close to the all-electron results without introducing any empirical parameters [1, 2, 3, 4].In previous work we have shown that the PBE0 hybrid density functional method with the MG3 all-electron basis set is an accurate method for calculating the atomization energies of small aluminum clusters (Al2−Al7). However, the MG3 basis set is very expensive for molecules much larger than Al13; therefore, we have developed a new effective core potential (ECP) method for aluminum to reduce ...The electronic ground states of lanthanide atoms span the range from a closed-shell singlet (Yb 1 S) to nonet (Gd 9 D°). 1,2 The many low-lying excited states, multireference character, and relativistic effects add further complexity to their electronic structures. 3-5 Both relativistic all-electron methods and effective core potential (ECP ... ….

Effective core potential (ECP) integrals are amongst the most difficult one-electron integrals to calculate due to the projection operators. The radial part of these operators may include r⁰, r ...Oct 15, 2018 · 2018-10-15 Update 2nd row He-core ccECPs to be consistent with JCP (2018) potentials. 2018-05-21 Added ccECPs for 2nd and 3rd row from Abdulgani Annaberdiyev (2018) and Chandler Bennett (2018). 2018-04-12 Added Trail-Needs CEPP (2015) and eCEPP (2017) potentials, basis sets, and orbitals. 2018-02-22 Add RRKJ and TM potentials for 3d elements. Abstract. A brief overview over the foundations and modern variants of the relativistic effective core potential method, i.e., energy-consistent and shape-consistent ab initio pseudopotentials as well as ab initio model potentials, is given. The energy-consistent ab initio pseudopotential approach is discussed in more detail, focussing on the ...Jun 27, 2023 · Computational studies using DFT and an effective core potential appropriate for platinum were conducted on these Pt+(acetylene) n complexes to determine their structures and to predict IR spectra corresponding to each structural isomer identified.These results are summarized in Table 1, and the 2018-10-15 Update 2nd row He-core ccECPs to be consistent with JCP (2018) potentials. 2018-05-21 Added ccECPs for 2nd and 3rd row from Abdulgani Annaberdiyev (2018) and Chandler Bennett (2018). 2018-04-12 Added Trail-Needs CEPP (2015) and eCEPP (2017) potentials, basis sets, and orbitals. 2018-02-22 Add RRKJ and TM potentials for 3d elements.Potential energy curves for the ground 1 Σ + g state of Xe 2, the first four states of the Xe + 2 ions, and the eight Xe* 2 excimer states corresponding to the addition of a 6sσ g Rydberg electron to these ion cores have been computed using averaged relativistic effective core potentials (AREP) and the self‐consistent field approximation for the valence electrons.Abstract. The relativistic effective core potential method is reviewed. The basic assumptions of the model potential and pseudopotential variants are discussed …For transition metals, we used the small-core, quasi-relativistic Stuttgart/Dresden effective core potential with the associated triple-ζ valence basis set (standard SDD keywords in Gaussian09). All complexes were considered in the singlet electronic state with the exception of the Mn-based systems, for which a triplet state was … Effective core potential, Ab initio effective core potentials (ECP's) have been generated to replace the Coulomb, exchange, and core‐orthogonality effects of the chemically inert core electron in the transition metal atoms Sc to Hg. For the second and third transition series relative ECP's have been generated which also incorporate the mass-velocity and Darwin relativistic effects into the potential., The ECP method dates back to 1960, when Phillips and Kleinman suggested an approximation scheme for discarding core orbitals in band calculations [1]. They replaced the full Fock-operator with the following operator: $$\hat F \to \hat F + \sum\limits_C {\left( {{ \in _v} - { \in _c}} \right)} \left| c \right. > < \left. c \right|$$ where ∈ v is a valence orbital energy and ∈ c are the core ..., Effective core potential (ECP) integrals are amongst the most difficult one-electron integrals to calculate due to the projection operators. The radial part of these operators may include r⁰, r ..., Fermionic neural network with effective cor e potential. Xiang Li ,1,*Cunwei Fan ,2,†Weiluo Ren,1and Ji Chen 3, 1 ByteDance Inc., Zhonghang Plaza, No. 43, North 3rd Ring West Road, Haidian ..., This is commonly accomplished by introducing effective core potentials (ECPs) or closely related pseudopotentials, that open opportunities to study systems with hundreds of valence electrons. ... the nonlocal integrals can be carried out explicitly saving thus the computational time while generating a different effective potential and ..., Besides, for these heavier elements the relativistic effects become important. One way to solve both problems simultaneously is to fit an effective core potential (ECP) to describe the core electrons using relativistic calculations, reducing the computational problem by treating only the valence electrons explicitly [22, 25, 27]. Most ECP ..., Feb 4, 2012 · Sadlej’s electric polarization method of Gaussian basis functions was applied to the double-zeta effective core potential basis sets of Stevens, Basch, Krauss, Jasien and Cundari to generate a new augmented polarized valence double-zeta set, named as pSBKJC, which is appropriate for the calculation of dynamic polarizabilities and Raman intensities. The pSBKJC basis set was developed for the ... , A new 11-electron relativistic effective core potential (11e-RECP) for Ag atom based on correlated level of theory and the associated atomic orbital (AO) basis set have been derived which allows for an accurate determination of excited states. This has been verified by comparing the calculated excited states of the dimer with experimental data., ADZP electric property calculations showed to be as fast as those that use augmented effective core potential basis sets. Introduction. Polarizability is a measure of the deformability of the electron density around an atomic or molecular system. It is a key element for describing electronic structure and plays an important role in governing ..., The SDD effective core potential basis set is not suitable for the bond length calculation for PBDEs. The results of the two methods are close to the experimental data, while the all-electron basis set is more suitable for the bond length calculation for PBDEs than the SDD effective core potential basis set. The results show that the calculated ..., Effective core potential integral and gradient evaluations are accelerated via implementation on graphical processing units (GPUs). Two simple formulas are proposed to estimate the upper bounds of the integrals, and these are used for screening. A sorting strategy is designed to balance the workload between GPU threads properly., 8.10 Introduction to Effective Core Potentials (ECPs) 8.11 ECP Fitting; 8.12 Built-In ECPs. 8.12.0.1 Combining ECPs; 8.12.0.2 Examples; 8.13 User-Defined ECPs; ... Defines the effective core potential and associated basis set to be used TYPE: STRING DEFAULT: No ECP OPTIONS: General, Gen User ..., The Hellmann-Feynman force method is combined with the effective-core potential (ECP) method. Based on a theorem previously reported, we have added derivative AOsr' to the original basis r, and confirmed that the wavefunctions of the ECP method essentially satisfy the Hellmann-Feynman (HF) theorem.This makes it easier to apply an intuitive force concept quantitatively to molecular systems ..., The pseudopotential must be used with a compatible basis set. Gaussian supports a new effective core potential (ECP) input format (similar to that used by ExtraBasis) which is described in the Format tab. Without any options, this keyword defaults to Pseudo=Read. However, the Cards option is by far its most-used mode., Potential curves, vibrational term values, and spectroscopic constants for eighteen low-lying electronic states of Li 2 and eight electronic states of Li 2 + are obtained from all-electron SCF/valence CI calculations including core polarization effects by an effective potential. Previous theoretical results for experimentally known states appear to be significantly improved., Effective core potentials (ECPs) are a useful means of replacing the core electrons in a calculation with an effective potential, thereby eliminating the need for the core basis functions, which usually require a large set of Gaussians to describe them. In addition to replacing the core, they may be used to represent relativistic effects, which ..., We introduce new correlation consistent effective core potentials (ccECPs) for the elements I, Te, Bi, Ag, Au, Pd, Ir, Mo, and W with $4d$, $5d$, $6s$ and $6p$ valence spaces. These ccECPs are given as a sum of spin-orbit averaged relativistic effective potential (AREP) and effective spin-orbit (SO) terms. The construction involves several steps with increasing refinements from more simple to ..., Recently methods have been developed [L. R. Kahn, P. Baybutt, and D. G. Truhlar, J. Chem. Phys. 65, 3826 (1976)] to replace the core electrons of atoms by ab initio effective core potentials (ECP). Valence‐electron calculations are reported on the ground states of HF, F2, HCl, LiCl, and Cl2 using ECP's for F and Cl, and the results are compared to all‐electron calculations. Significant ..., New Effective Core Method (Effective Core Potential and Valence Basis Set) for Al Clusters and Nanoparticles and Heteronuclear Al-Containing Molecules. …, Comments on "Effective Core Potentials" [M.Dolg, Modern Methods and Algorithms of Quantum Chemistry (Ed. by J.Grotendorst, John von Neumann Institute for Computing, J\"ulich, NIC Series, Vol.1 ..., Effective core potential DFT calculations of nuclear shielding as a tool for the prediction and assignment of the tungsten chemical shift in mono- and polynuclear complexes Alessandro Bagno), Marcella Bonchio Centro CNR Meccanismi Reazioni Organiche, Dipartimento di Chimica Organica, Uni˝ersita di Pado` ˝a, ˝ia Marzolo 1,, Diagram of a fluorine atom showing the extent of effective nuclear charge. (CC BY-SA 3.0; NikNaks via Wikipedia). The charge \(Z\) of the nucleus of a fluorine atom is 9, but the valence electrons are screened appreciably by the core electrons (four electrons from the 1s and 2s orbitals) and partially by the 7 electrons in the 2p orbitals., Ab initio effective core potentials (ECP’s) have been generated to replace the innermost core electron for third‐row (K–Au), fourth‐row (Rb–Ag), and fifth‐row (Cs–Au) atoms. The outermost core orbitals—corresponding to the ns 2 np 6 configuration for the three rows here—are not replaced by the ECP but are treated on an equal footing with …, The Application of Effective Core Potentials in Heavy Atom Molecules: A Study of Small Gold Clusters and Molecules as a Function of Theoretical Method. Joseph J. BelBruno. …, We propose large-core correlation-consistent (cc) pseudopotential basis sets for the heavy p-block elements Ga-Kr and In-Xe. The basis sets are of cc-pVTZ and cc-pVQZ quality, and have been optimized for use with the large-core (valence-electrons only) Stuttgart-Dresden-Bonn (SDB) relativistic pseudopotentials. Validation calculations on a variety of third-row and fourth-row diatomics ..., A consistent set of ab initio effective core potentials (ECP) has been generated for the main group elements from Na to Bi using the procedure originally developed by Kahn. The ECP’s are derived from all‐electron numerical Hartree–Fock atomic wave functions and fit to analytical representations for use in molecular calculations. For Rb to Bi the ECP’s are …, Fermionic Neural Network with Effective Core Potential Xiang Li ByteDance Inc, Zhonghang Plaza, No. 43, North 3rd Ring West Road, Haidian District, Beijing. {lixiang.62770689, renweiluo}@bytedance.com Cunwei Fan Department of Physics and Institute for Condensed Matter Theory, University of Illinois 1110 W. Green Street, Urbana, IL 61801, U.S.A ..., Ab initio effective core potentials (ECP’s) have been generated to replace the Coulomb, exchange, and core‐orthogonality effects of the chemically inert core electron in the transition metal atoms Sc to Hg. For the second and third transition series relative ECP’s have been generated which also incorporate the mass–velocity and Darwin relativistic …, The ground state geometries of small neutral Agn(n=2-9) and cationic Agn+ (n=2-9) clusters have been determined in the framework of the Hartree-Fock and complete active space self‐consistent field (CASSCF) procedure employing a relativistic effective core potential (RECP) accounting for core-valence correlation effects (CVC). Similarities and differences between topologies of neutral ..., Feb 9, 2022 · We introduce new correlation consistent effective core potentials (ccECPs) for the elements I, Te, Bi, Ag, Au, Pd, Ir, Mo, and W with $4d$, $5d$, $6s$ and $6p$ valence spaces. These ccECPs are given as a sum of spin-orbit averaged relativistic effective potential (AREP) and effective spin-orbit (SO) terms. The construction involves several steps with increasing refinements from more simple to ... , Abstract. The relativistic effective core potential method is reviewed. The basic assumptions of the model potential and pseudopotential variants are discussed …, This work integrates a powerful neural-network based model (FermiNet) with the effective core potential method, which helps to reduce the complexity of the problem by replacing inner core electrons with additional semi-local potential terms in Hamiltonian. Deep learning techniques have opened a new venue for electronic structure theory in …, In this paper we study the effective interactions of these systems by investigating the suitability of the Gauss-core model, to reproduce the relevant thermodynamic properties. ... Baeurle, S.A., Kroener, J. Modeling Effective Interactions of Micellar Aggregates of Ionic Surfactants with the Gauss-Core Potential. Journal of Mathematical ...