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Copy of thesis here
During the last three years, I have applied the DFT methodology to the calculation of nuclear magnetic resonance (NMR) chemical shifts. DFT works well for systems ranging from simple hydrocarbons to heavy element compounds. As an example, we were able to calculate the 183W shift of W(CO)6 relative to [WO4]2- quantitatively: calculated -3,615 ppm; experimental -3,505 ppm (G. Schreckenbach, T. Ziegler, Int. J. Quantum Chem., in print). To calculate the NMR chemical shift (shielding), we used the so-called "gauge including atomic orbitals" (GIAO) method. As shown above by the example, we have extended this work to include (scalar) relativistic effects, thus opening, for the first time, the whole range of multinuclear NMR to theoretical investigations. To date, our program is the only first principle method that is capable of calculating heavy element chemical shifts.
As the last step of my Ph.D. research, I am currently working on an
implementation to calculate the g-tensor of electron spin resonance
(ESR) spectroscopy. The g-tensor and the NMR shielding are conceptually
very similar from a theoretical point of view. Thus, the NMR program is
readily extended to include the g-tensor as well.
Theoretical calculations of observed ESR g-values have so far only
been possible based on semi-empirical methods. While such methods
can be very successful, they are based on certain empirical parameters,
and thus rely on a good knowledge of the given system. This is not the
case for first principle methods. Therefore, various applications
are conceivable.
Another logical extension of the NMR/ESR program would be the calculation of the magnetic susceptibility. Our common formulation of the different magnetic properties (NMR shifts, ESR g-tensor, susceptibility, etc.) has the advantage that all existing features of the NMR program (use of GIAO's, sophisticated analysis tools in terms of the molecular orbitals, relativistic extension, among others) are readily available for the various other properties.