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Foreign Cooperating Institutions - Institute of Inorganic Chemistry ...

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HIGHLIGHTS OF THE IIC SCIENCE<br />

The scientific activity <strong>of</strong> the <strong>Institute</strong> <strong>of</strong> <strong>Inorganic</strong> <strong>Chemistry</strong> is concentrated to the<br />

fundamental, applied and industry oriented research <strong>of</strong> the inorganic systems suitable for<br />

design <strong>of</strong> new materials and/or technologies. Presented in the following pages are brief<br />

summaries <strong>of</strong> recent scientific highlights.<br />

New theoretical approaches for relativistic calculations <strong>of</strong> NMR<br />

parameters for compounds containing heavy elements<br />

M. Repiský, S. Komorovský, P. Hrobárik, O. L. Malkina, V. G. Malkin<br />

An accurate prediction <strong>of</strong> electronic structure and properties <strong>of</strong> compounds containing heavy<br />

elements obligatorily requires inclusion <strong>of</strong> relativistic effects into consideration. It means that<br />

instead <strong>of</strong> working with the Schrödinger equation one has to deal (in one way or other) with<br />

the Dirac equation extended for treatment <strong>of</strong> many-electron systems. Nowadays it becomes a<br />

common point that relativity has an especially immense effect on NMR shielding tensor and<br />

indirect nuclear spin-spin coupling constants (SSCC). Often calculations <strong>of</strong> those properties<br />

serve as a very delicate probe to test different ways <strong>of</strong> treating relativistic effects and the basis<br />

set quality. Lately we succeeded in the development <strong>of</strong> new relativistic four-component<br />

density functional approach based on the use <strong>of</strong> restricted magnetically balanced basis<br />

(mDKS-RMB) for calculations <strong>of</strong> NMR shielding [1]<br />

and indirect nuclear spin-spin coupling constants [2]. The<br />

unperturbed equations are solved with the use <strong>of</strong> a<br />

restricted kinetically balanced basis set for the small<br />

component, while to solve the second-order coupled<br />

perturbed DKS equations a restricted magnetically<br />

balanced basis set for the small component is applied.<br />

The method provides an attractive alternative to existing<br />

approximate two-component methods with transformed<br />

Hamiltonians for relativistic calculations <strong>of</strong> spin-spin<br />

coupling constants <strong>of</strong> heavy-atom systems. In particular,<br />

no picture-change effects arise in our method for<br />

property calculations. Pilot benchmark relativistic<br />

calculations show a high reliability <strong>of</strong> the mDKS-RMB<br />

methods. Recently, this method was extended to include<br />

GIAO (Gauge Including Atomic Orbitals) formalism.<br />

Our new method increases the accuracy in calculations<br />

<strong>of</strong> NMR and EPR parameters <strong>of</strong> compounds containing<br />

even as heavy elements as lanthanides or actinides.<br />

Further information: V. Malkin:<br />

vladimir.malkin@savba.sk<br />

1. Komorovský S., Repiský M., Malkina O. L., Malkin V. G., Malkin Ondik I., Kaupp M.: J. Chem.<br />

Phys. 128, 104101-1-104101-15, 2008<br />

2. Repiský M., Komorovský S., Malkina O. L., Malkin V. G.: Chem. Phys. 356, 236-242, 2009<br />

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