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Hylleraas-Configuration Interaction (Hy-CI) calculations on the ground $1^1$S state of helium atom are presented using s-, p-, d-, and f-Slater orbitals of both real and complex form. Techniques of construction of adapted configurations,…

Atomic Physics · Physics 2016-01-29 Maria Belen Ruiz

An improved algorithm to evaluate the nonrelativistic three-electron Hylleraas-Configuration Interaction (Hy-CI) kinetic energy integrals over Slater orbitals and the Hamiltonian in Hylleraas coordinates is shown. The resulting analytical…

Atomic Physics · Physics 2016-01-29 Maria Belen Ruiz

Configuration Interaction (CI) calculations on the ground state of the C atom are carried out using a small basis set of Slater orbitals [7s6p5d4f3g]. The configurations are selected according to their contribution to the total energy. One…

Atomic Physics · Physics 2017-08-01 María Belén Ruiz , Robert Tröger

The bound state spectra of the doublet states in three-electron atomic systems are investigated. By using different variational expansions we determine various bound state properties in these systems. Such properties include the…

Atomic Physics · Physics 2015-06-19 Alexei M. Frolov , Maria Belen Ruiz , David M. Wardlaw

We extend our recently-developed heat-bath configuration interaction (HCI) algorithm, and our semistochastic algorithm for performing multireference perturbation theory, to the calculation of excited-state wavefunctions and energies. We…

Strongly Correlated Electrons · Physics 2017-11-22 Adam A. Holmes , C. J. Umrigar , Sandeep Sharma

The Configuration Interaction (CI) method is applied to the calculation of the structures of a number of positron binding systems, including e+Be, e+Mg, e+Ca and e+Sr. These calculations were carried out in orbital spaces containing about…

Atomic Physics · Physics 2007-05-23 M. W. J. Bromley , J. Mitroy

We calculate accurate potential energy curves for a ground-state He$^+$ ion interacting with a He atom in the lowest-energy metastable $^3\!S$ electronic state. We employ the full configuration interaction method, equivalent to exact…

Atomic Physics · Physics 2023-11-30 Jacek Gȩbala , Michał Przybytek , Marcin Gronowski , Michał Tomza

The symmetry-adapted-cluster configuration interaction (SAC-CI) method is used for ab initio calculation of electronic structure of HCl+ and HBr+ molecular ions. Potential energy curves (PEC) are obtained for a series of low-lying…

Chemical Physics · Physics 2012-02-29 Valerij S. Gurin , Mikhael V. Korolkov , Vitaly E. Matulis

The Configuration Interaction (CI) method using a very large Laguerre orbital basis is applied to the calculation of the He ground state. The largest calculations included a minimum of 35 radial orbitals for each l ranging from 0 to 12…

Atomic Physics · Physics 2007-05-23 M. W. J. Bromley , J. Mitroy

The electronic structure of the ICl+ molecular ion is investigated by using high-level multireference configuration interaction (MRCI) method. To improve computational accuracy, Davidson corrections, spin-orbit coupling (SOC), and…

Atomic Physics · Physics 2025-11-25 Rui Li , Ronglong Dou , Ting Gao , Qinan Li , Chaoqun Song

We present systematic calculations of energy levels of the $1s^22l$ and $1s2l2l'$ states of ions along the lithium isoelectronic sequence from carbon till chlorine. The calculations are performed by using the…

Atomic Physics · Physics 2017-12-29 V. A. Yerokhin , A. Surzhykov , A. Müller

Hierarchy configuration interaction (hCI) has been recently introduced as an alternative configuration interaction (CI) route combining excitation degree and seniority number, which showed to efficiently recover both dynamic and static…

Chemical Physics · Physics 2024-02-20 Fábris Kossoski , Pierre-François Loos

Some typical overlap/potential energy integrals which occur in the use of extended Hylleraas-configuration interaction (E-Hy-CI) functions with Slater-type orbital (STO) basis for two-electron atomic structure calculations, have been…

Atomic Physics · Physics 2019-01-23 B Padhy

We introduce and benchmark a systematically improvable route for excited-state calculations, state-specific configuration interaction ($\Delta$CI), \alert{which is a particular realization of multiconfigurational self-consistent field and…

Chemical Physics · Physics 2023-08-31 Fábris Kossoski , Pierre-François Loos

The total energies and various bound state properties of the excited $2^1S(L = 0)-$states in two-electron helium atoms, including the ${}^{\infty}$He, ${}^4$He and ${}^3$He atoms, are determined to very high numerical accuracy. The…

Atomic Physics · Physics 2011-02-28 Alexei M. Frolov , David M. Wardlaw

Rydberg excited states of molecules pose a challenge for electronic structure calculations because of their highly diffuse electron distribution. Even large and elaborate atomic basis sets tend to underrepresent the long-range tail, overly…

The energetically lowest five states of a helium atom are: He($1^1S$), He($2^3S$), He($2^1S$), He($2^3P$), and He($2^1P$). Long-range interaction coefficients $C_3$, $C_6$, $C_8$, $C_9$, and $C_{10}$ for all $S-S$ and $S-P$ pairs of these…

Atomic Physics · Physics 2007-05-23 J. -Y. Zhang , Z. -C. Yan , D. Vrinceanu , J. F. Babb , H. R. Sadeghpour

An effective optimization strategy has been developed to construct highly accurate bound state wave functions in various three-body systems. Our procedure appears to be very effective for computations of weakly bound states and various…

Atomic Physics · Physics 2014-11-21 Alexei M. Frolov , David M. Wardlaw

We theoretically investigate long-range interactions between an excited $L$ state He atom and two identical $S$ state He atoms, for the cases of the three atoms all in spin singlet states or all in spin triplet states, denoted by…

Atomic Physics · Physics 2018-04-25 Pei-Gen Yan , Li-Yan Tang , Zong-Chao Yan , James F Babb

In this work we demonstrate that the heat bath configuration interaction (HCI) and its semistochastic extension can be used to treat relativistic effects and electron correlation on an equal footing in large active spaces to calculate the…

Chemical Physics · Physics 2018-11-08 Bastien Mussard , Sandeep Sharma
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