Abstract
In isotropic liquids there are relatively fast rotational and translational movements of molecules.
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- 1.
We should note that terms “eigenvalue of energy” (quantum mechanics) and “eigenvalue” (linear algebra), as well as “eigenfunctions” (“eigenstates”) (quantum mechanics) and “eigenvectors” (linear algebra) are about the same in the context of this book. This is because of function space is a Hilbert space and Hamiltonians are linear operators, so they are isomorphic to vectors and matrices in \(\mathbb {C}^n\), respectively, and time-independent Schrödinger equation corresponds to the eigenvalue equation in linear algebra.
- 2.
The special case is numerous of correlation experiments, when experimental conditions are specially chosen in order to affect some spins and, so, to distort a system, to break equilibrium conditions. In such an experiment a researcher knowingly changes intensity of some resonance lines.
- 3.
In this Section, an angular frequency \(\omega =2\pi \nu \) in units of radians per second is used for the simplification of equations.
Further Readings
Günther H (1995) NMR spectroscopy: basic principles, concepts, and applications in chemistry, 2nd edn. Wiley, New York
Keeler J (2010) Understanding NMR spectroscopy, 2nd edn. Wiley, New York (ISBN 978-0-470-74609-7)
Levitt MH (2008) Spin dynamics: basics of NMR, 2nd edn. Wiley/Interscience, New York
Pople JA, Schneider WG, Bernstein HJ (1959) High-resolution nuclear magnetic resonance. McGraw-Hill Book Company, New York, Toronto, London
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Chizhik, V.I., Chernyshev, Y.S., Donets, A.V., Frolov, V.V., Komolkin, A.V., Shelyapina, M.G. (2014). Nuclear Magnetic Resonance in Liquids. In: Magnetic Resonance and Its Applications. Springer, Cham. https://doi.org/10.1007/978-3-319-05299-1_4
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DOI: https://doi.org/10.1007/978-3-319-05299-1_4
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