Solid-state nuclear magnetic resonance theory

DE Bugay. Solid-state nuclear magnetic resonance spectroscopy Theory and pharmaceutical applications. Pharm Res 10(30) 317-327, 1993. 

Freude, D. Quadrupolar Nuclei in Solid-state Nuclear Magnetic Resonance. In Encyclopedia of Analytical Chemistry. Applications, Theory and... 

L.A. O Dell, C.I. Ratcliffe, X. Kong, G. Wu, Multinuclear solid-state nuclear magnetic resonance and density functional theory characterization of interaction tensors in taurine,. Phys. Chem. A 116 (2012) 1008. 

M. Leskes, P.K. Madhu, S. Vega, Floquet theory in solid-state nuclear magnetic resonance, Prog. Nucl. Magn. Reson. Spectrosc. 57 (2010) 345-380. 

Gerstein BC, Dybowski CR (1985) Transient techniques in NMR of solids an introduction to theory and practice Academic Press, Orlando, 295 pp Hatcher PG (1987) Chemical structural studies of natural lignin by dipolar dephased solid-state nC nuclear magnetic resonance Org Geochem 11 31-39 Hatfield GR, Maciel GE, Erbatur O, Erbatur G (1987) Qualitative and quantitative analysis of solid lignin samples by carbon-13 nuclear magnetic resonance spectrometry Anal Chem 59 172-179... 

Quantum chemical nuclear magnetic resonance (NMR) chemical shift calculations enjoy great popularity since they facilitate interpretation of the spectroscopic technique that is most widely used in chemistry [1-11], The reason that theory is so useful in this area is that there is no clear relationship between the experimentally measured NMR shifts and the structural parameters of interest. NMR chemical shift calculations can provide the missing connection and in this way have proved to be useful in many areas of chemistry. A large number of examples including the interpretation of NMR spectra of carbocations [12], boranes [10, 13], carboranes [10, 13-15], low-valent aluminum compounds [16-18], fullerenes [19-21] as well as the interpretation of solid-state NMR spectra [22-26] can be found in the literature. 

S.A. oyce,. R. Yates, C.. Pickard, P. Mauri, A first principles theory of nuclear magnetic resonance -coupling in solid-state systems,. Chem. Phys. 127 (2007) 204107. 

As the foundation of quantum statistical mechanics, the theory of open quantum systems has remained an active topic of research since about the middle of the last century [1-40]. Its development has involved scientists working in fields as diversified as nuclear magnetic resonance, quantum optics and nonlinear spectroscopy, solid-state physics, material science, chemical physics, biophysics, and quantum information. The key quantity in quantum dissipation theory (QDT) is the reduced system density operator, defined formally as the partial trace of the total composite density operator over the stochastic surroundings (bath) degrees of freedom. 

Nuclear magnetic resonance (NMR) is one of the major experimental tools in structural chemistry and biochemistry. The prediction of NMR shifts from ab initio calculations has been demonstrated for isolated molecules (see NMR Chemical Shift Computation Ab Initio), but the development of a practical ab initio approach for the calculation on NMR shifts in solids has been accomplished only quite recently. Based on DFT-LDA and a pseudopotential plane wave approach, these authors have presented an approach which promises to be useful in the investigation of NMR shifts in crystalline solids as well as in amorphous materials and liquids. As a demonstration of this approach, Mauri et al. have calculated the H NMR shifts of LiH and HF in the state of isolated molecules and in a crystal. In the case of LiH the results show very little change between the free molecule (a = 26.6 ppm) and the crystal (cr = 26.3 ppm). However, a significant change is found for the crystal at high pressures (65 GPa), where the chemical shift increases to 31.2 ppm. A quite different picture is obtained for the HF molecule, where the theory predicts a shift of 28.4 ppm in remarkable agreement with the experimental value of 28.4 ppm. For the HF crystal, a shift of... 

The usefulness of the NMR technique in solid state physics stems from the fact that the widths, splittings, and shifts of the magnetic resonance of nuclei in solids often depend in a sensitive manner on the magnetic and electrical environment of the nucleus in the solid. In this sense the nucleus can be considered as a probe by which one may ascertain certain details of the nuclear and electronic structure of the solid under investigation. Considerable attention has been given by numerous authors to the theory of the magnetic resonance phenomenon, and it is considered to be in a satisfactory state at the present time. 

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