• Analytic cubic and quartic force fields using density-functional theory 

      Ringholm, Magnus; Jonsson, Dan Johan; Bast, Radovan; Gao, Bin; Thorvaldsen, Andreas johan; Ekstrøm, Ulf; Helgaker, Trygve; Ruud, Kenneth (Journal article; Tidsskriftartikkel; Peer reviewed, 2014)
    • Analytic density functional theory calculations of pure vibrational hyperpolarizabilities: The first dipole hyperpolarizability of retinal and related molecules 

      Gao, Bin; Ringholm, Magnus; Bast, Radovan; Ruud, Kenneth; Thorvaldsen, Andreas johan; Jaszuński, Michał (Journal article; Tidsskriftartikkel; Peer reviewed, 2014-01-09)
      We present a general approach for the analytic calculation of pure vibrational contributions to the molecular (hyper)polarizabilities at the density-functional level of theory. The analytic approach allows us to study large molecules, and we apply the new code to the study of the first dipole hyperpolarizabilities of retinal and related molecules. We investigate the importance of electron ...
    • Combination of large and small basis sets in electronic structure calculations on large systems 

      Røeggen, Inge Arvid; Gao, Bin (Journal article; Tidsskriftartikkel; Peer reviewed, 2018-04)
      Two basis sets-a large and a small one-are associated with each nucleus of the system. Each atom has its own separate one-electron basis comprising the large basis set of the atom in question and the small basis sets for the partner atoms in the complex. The perturbed atoms in molecules and solids model is at core of the approach since it allows for the definition of perturbed atoms in a system. It ...
    • A comparative theoretical study on core-hole excitation spectra of azafullerene and its derivatives 

      Deng, Yunfeng; Gao, Bin; Deng, Mingsen; Luo, Yi (Journal article; Tidsskriftartikkel; Peer reviewed, 2014)
    • General recurrence-relation generation scheme for molecular integral evaluation 

      Gao, Bin (Journal article; Tidsskriftartikkel; Peer reviewed, 2020-09-24)
      We develop a new scheme for evaluating different molecular integrals using Gaussian type orbitals. In this new scheme, the evaluation of integrals is performed in two steps during runtime. The first step is a top-down procedure that maps each recurrence relation into a jagged array (array of arrays), where each element of a member array represents either the final results or some intermediate integrals ...
    • Molecular quantum mechanical gradients within the polarizable embedding approach-Application to the internal vibrational Stark shift of acetophenone 

      List, Nanna Holmgaard; Beerepoot, Maarten T. P.; Olsen, Jógvan Magnus Haugaard; Gao, Bin; Ruud, Kenneth; Jensen, Hans Jørgen Aagaard; Kongsted, Jacob (Journal article; Tidsskriftartikkel; Peer reviewed, 2015-01-21)
      We present an implementation of analytical quantum mechanical molecular gradients within the polarizable embedding (PE) model to allow for efficient geometry optimizations and vibrational analysis of molecules embedded in large, geometrically frozen environments. We consider a variational ansatz for the quantum region, covering (multiconfigurational) self-consistent-field and Kohn–Sham density ...
    • On the origin of bonding in metals: lithium as a case study 

      Røeggen, Inge Arvid; Gao, Bin (Journal article; Tidsskriftartikkel; Peer reviewed, 2022-09-05)
      The bonding in metals is analysed within the framework of the PATMOS (Perturbed AToms in MOlecules and Solids) model. The electronic binding energy per atom is written as a sum of a distortion energy of the atoms and the partitioned interaction energy comprising Coulombic, exchange and correlation terms. The adopted physical model of the infinite system, is spherical embedding of the atoms of the ...
    • Open-Ended Recursive Calculation of Single Residues of Response Functions for Perturbation-Dependent Basis Sets 

      Friese, Daniel Henrik; Ringholm, Magnus; Gao, Bin; Ruud, Kenneth (Journal article; Tidsskriftartikkel; Peer reviewed, 2015-09-09)
      We present theory, implementation, and applications of a recursive scheme for the calculation of single residues of response functions that can treat perturbations that affect the basis set. This scheme enables the calculation of nonlinear light absorption properties to arbitrary order for other perturbations than an electric field. We apply this scheme for the first treatment of two-photon circular ...
    • Perturbed atoms in molecules and solids:the PATMOS model 

      Røeggen, Inge; Gao, Bin (Journal article; Tidsskriftartikkel; Peer reviewed, 2013)
      A new computational method for electronic-structure studies of molecules and solids is presented. The key element in the new model – denoted the perturbed atoms in molecules and solids model – is the concept of a perturbed atom in a complex. The basic approximation of the new model is unrestricted Hartree Fock (UHF). The UHF orbitals are localized by the Edmiston-Ruedenberg procedure. The perturbed ...
    • Shape-dependent electronic excitations in metallic chains 

      Gao, Bin; Ruud, Kenneth; Luo, Yi (Journal article; Tidsskriftartikkel; Peer reviewed, 2014)
    • X-ray absorption resonances near L2,3-edges from real-time propagation of the Dirac–Kohn–Sham density matrix 

      Kadek, Marius; Konecny, Lukas; Gao, Bin; Repisky, Michal; Ruud, Kenneth (Journal article; Tidsskriftartikkel; Peer reviewed, 2015-08-07)
      The solution of the Liouville–von Neumann equation in the relativistic Dirac–Kohn–Sham density matrix formalism is presented and used to calculate X-ray absorption cross sections. Both dynamical relaxation effects and spin–orbit corrections are included, as demonstrated by calculations of the X-ray absorption of SF6 near the sulfur L2,3-edges. We also propose an analysis facilitating the interpretation ...