MOLPROP project - Results and Achievements

We describe below the scientific highlights from each of the nodes, emphasizing the contracted work plan, the midterm milestones and the collaborative aspects.
P1 KTH-Stockholm The Stockholm partner has continued to focus on the development and application of response methodology for non-linear optical properties. The research efforts devoted to various optical limiting processes have given rich results, especially concerning the the goal to derive useful materials for laser protection. In addition to the multi-dimensional and multi-branched structures, reported on in the 1-year report, we have now derived a series of metallo-porphyrines and platinum containing compounds with outstanding optical limiting properties. A strong effort on the methodological development paved the way for these results, in particluar a non-linear density functional theory based on the quasi-energy ansatz, including all modern exchange-correlation functionals. This development also concerned full and approximate relativistic algorithms and effective core potentials, and a dynamical, density matrix based, theory for pulse propagation in multi-photon active media. The main collaborators in this work are Oslo, Odense and Pisa nodes. The research adheres mostly to the second milestone of the mid-term review.
P2 U-Valencia This node has implemented the calculation of SCF and MP2 energies from Cholesky-decomposed two electron integrals. The work on van der Waals complexes has continued together with the Santiago node. A new collaboration line has been opened with the Stockholm YR using coupled cluster methods together with ECP and Douglas-Kroll relativistic methods for calculations of heavy metal compounds. A joint project with the Modena node is started, focusing on coupled cluster studies of the polarizabilities and hyperpolarizabilities of benzene isomers. In collaboration with the Mainz node, we determine the NMR spectra of HCP and CH3CP at the coupled cluster level.
P3 U-Santiago de Compostela During the second year of the network, this node continued working on the development of a gauge-invariant coupled cluster model using the time-dependent Lagrangian response approach and nonorthogonal orbital rotations. Now we are dealing with the implementation of the model using the Cholesky decomposition in order to reduce the scaling. We work together with the nodes in Valencia and Odense. The applications we carried out dealt with the evaluation of molecular properties using the coupled cluster method and augmented correlation consistent basis sets. We studied (hyper)polarizabilities, second virial coefficients and intermolecular potential energy surfaces and corresponding dynamics of the helium-, neon-, and argon-molecule van der Waals complexes. This work has been carried out together with the nodes in Pisa, Aarhus, Valencia and Odense.
P4 U-Mainz At the node in Mainz, analytic second derivatives for excitation energies calculated at the CCSD linear response theory level are currently implemented (by Dan Jonsson). The nodes at Mainz and Pisa (A. Rizzo) developed a coupled-cluster response theory approach for the determination of effective quadrupole centers and applied this scheme to CO, OCS, and N2O. In collaboration with the node in Valencia (with T.B. Pedersen), the possibility to compute temperature effects on molecular properties (e.g. NMR shieldings) has been implemented. Together with the node in Valencia, highly accurate coupled-cluster calculations for the NMR spectrum (shieldings and coupling constants) of HCP have been carried out. In collaboration with the node in Helsinki a program for calculating current densities within the gauge-including atomic-orbital framework has been written and is now applied to investigate ring current effects. Together with the nodes in Odense and Oslo an extensive study concerning the accuracy of calculated equilibrium geometries as well as the accuracy of geometries derived from experimental rotation constants has been performed.
P5-Modena The analytic procedure of continuous transformation of the origin of the current density-diamagnetic term to zero for the calculation of magnetic susceptibility and nuclear magnetic shielding has been implemented within the DALTON code. This work is done in collaboration with the Odense node. The graphical codes implemented in the first year of activity have been used for representing streamlines and modulus of the current density induced by a magnetic field in the electrons of a series molecules: 2- and 4-pyrones, 1-2 dithiin and its derivatives, heteropentalenes and s-indacene. The aromaticity of these systems has been discussed in relation to magnetic properties. This work is carried out jointly with the Valencia node. Calculation of electric dipole polarizabilities in dipole velocity and acceleration forms at the coupled-cluster level is being carried out in collaboration with the Oslo node. A new efficient coupled Hartree-Fock computational scheme for parity-violating energy differences in enantiomeric molecules, based on the density matrix formalism, has been developed.
P6 CNR-Pisa The work has concerned studies of electric and magnetic, optical properties in molecules, in collaborations with other nodes. Study of interaction induced properties in neon using a Coupled Cluster approach. (Collaboration with the node of Santiago de Compostela). Study of the effect of triple excitations on the Electric Field Gradient induced birefringence of polar molecules (Collaboration with the node of Mainz). Study of the Raman and Raman Optical activity spectra of Carbohydrates, using Hartree Fock Response theory (Involving the YR). Study of the effect of relativity on the Raman Scattering of small molecules (Involving the YR). Analysis of the behavior of Density Functional Theory employed for the study of properties at the nuclei (Nuclear potential, electric field and its gradient at the nucleus, Sternheimer shieldings and polarizabilities of the EFG at the nucleus (Collaboration with the nodes of Oslo and Stockholm).
P7 U.Helsinki The MOLPROP collaboration between the Helsinki node and the Arhus group of the Odense node has focused on development of computational approaches for calculation of optical and dynamical properties of strain-induced quantum dots. The methods are being implemented into a new ab initio program package. A main goal is to find a quantum dot system with such a size and shape for which the recombination dipole moment is large but the lines are still narrow enough for identifying individual transitions. The present methods have successfully been used for studying nanotechnologically important semiconductor quantum dots containing electrons and holes. The collaboration with the Odense group of the Odense node consists mainly of investigations of optical properties of Bi compounds using their relativistic 4-component RPA method. The collaboration with the Mainz node involves the development of a computational method to calculate the magnetically induced current density employing gauge-including atomic orbitals.
P8 U.Odense Calculation of frequency dependent polarizabilities using the coupled cluster approximate triples model (CC3) has been implemented with reduced scaling. We have demonstrated that most accurate equilibrium geometries are obtained based on experimental vibration ground state constants and calculated vibration-rotation interaction constants. A new large-scale CI module has been incorporated in the relativistic four-component second-order MCSCF program. Theory for a more correct account for the free particle g-factor in EPR has been implemented in the relativistic EPR program. Theory and implementation for MCSCF calculations of near-resonant absorption with account for finite lifetimes has been finished. QM/MM methods have been developed and implemented at the Hartree-Fock, MCSCF and Coupled Cluster levels. These methods enable calculations of properties up to third order. Heterogeneous solvation models have been developed and implemented at the Hartree-Fock and MCSCF levels and these methods enable calculations of properties up to fourth order.
P9 U-Oslo The Oslo node has worked on the implementation of multipole methods in Dalton. A fully working, efficient implementation of the tree-code algorithm is now in place (scales as NLogN), and some optimization is being carried out on the fast multipole method (scales as N). Test calculations on systems containing several hundred atoms show that the classical contribution to the Coulomb energy can now be calculated very efficiently. In collaboration with the Stockholm node, quadratic response has been implemented at the LDA, GGA, and hybrid DFT levels of theory. In collaboration with the Aarhus node, very accurate calculations have been carried out molecular structure and vibrational energy levels, yielding important information about the performance of ab initio models. In collaboration with the Modena node, work is being carried out on the calculation of polarizabilities in different gauges.

Theoretical Chemistry, MOLPROP

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