Multipole NMR. IX. Polar graphical representation of nuclear spin polarizations

Halstead, T. K.; Osment, P.A; Sanctuary, B. C.

doi:10.1016/0022-2364(84)90049-0

Cited by 19 publications

(13 citation statements)

References 12 publications

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“…Most of our treatment will be in terms of the irreducible spherical tensor operatorsT lm of rank l and order m. Sometimes it is useful to consider the symmetric and anti-symmetric combinations defined asT ðsÞ lm ¼ 1 ffiffi 2 p ðT lm þT lÀm Þ andT ðaÞ lm ¼ 1 ffiffi 2 p ðT lm ÀT lÀm Þ, so that, e.g., I x ¼ ÀT ðaÞ 11 andÎ y ¼ iT ðsÞ 11 , or modifications thereof [15,16]. The density operatorqðtÞ describing the spin degrees of freedom for isolated spins can conveniently be written aŝ…”

Section: Spin Evolution In Non-rotating Samplesmentioning

confidence: 99%

See 1 more Smart Citation

Solid-state Li NMR with applications to the translational dynamics in ion conductors

Böhmer

Jeffrey

Vogel

2007

Progress in Nuclear Magnetic Resonance Spectroscopy

225

232

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Section: Spin Evolution In Non-rotating Samplesmentioning

confidence: 99%

“…We will call this spectrum a quadrupolar spin-alignment spectrum since according to Eq. (15) it can be obtained from the spin-alignment or quadrupolar ordered stateT 20 . For I = 3/2 an octupolar spectrum G ð1; 3=2Þ 31 ðxÞ can also be generated.…”

Section: Single-spin Interactionsmentioning

confidence: 99%

Solid-state Li NMR with applications to the translational dynamics in ion conductors

Böhmer

Jeffrey

Vogel

2007

Progress in Nuclear Magnetic Resonance Spectroscopy

225

232

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“…In doing so, it allows us to acquire the spectrum without worrying about deadtimes in the electronics. Although there are some appealing physical rationalizations available (44,95), its mechanism is not as intuitively clear as the classic Hahn echo. It therefore serves as a good exercise in operator formalisms.…”

Section: The Quadrupolar Echomentioning

confidence: 95%

Operator formalisms: An overview

Bain

2006

Concepts Magnetic Resonance

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ABSTRACT:Operator formalisms are mathematical recipes for simplifying the manipulations of the density matrix. Because the density matrix is a vital tool in describing and analyzing magnetic resonance experiments, many approaches have been developed. This article gives an overview of a number of different methods: spherical tensors, fictitious spin-1/2, single-transition operators, product operators, superspin methods, and others. In principle, they all must give the same answer, because an exact description of magnetic resonance phenomena is usually within reach. The choice of the formalism for the user, therefore, depends on various personal decisions. Among these decisions is the choice between spherical and Cartesian tensors, between Hilbert space and Liouville space, between commutators and matrix elements, and so on. We do not go into the details of any of the formalisms but rather try to compare their approaches at a fairly general level. The quadrupolar echo pulse sequence is used as an example of the application of the formalisms. The aim of this overview is to give readers enough of a picture so that they can make an intelligent choice for themselves.

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“…This approach is similar to one that has been employed to describe molecular polarization [214,222], and methods also have been developed to visualize the different tensor elements of nuclear polarization in terms of the corresponding spherical harmonics [223].…”

Section: Nuclear and Atomic Polarization 266mentioning

confidence: 99%

Nuclear magnetic resonance studies of quadrupolar nuclei and dipolar field effects

Urban

2004

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Experimental and theoretical research conducted in two areas in the field of nuclear magnetic resonance (NMR) spectroscopy is presented: (1) studies of the coherent quantummechanical control of the angular momentum dynamics of quadrupolar (spin I > 1/2) nuclei and its application to the determination of molecular structure; and (2) applications of the long-range nuclear dipolar field to novel NMR detection methodologies.The dissertation is organized into six chapters. The first two chapters and associated appendices are intended to be pedagogical and include an introduction to the quantum mechanical theory of pulsed NMR spectroscopy and the time dependent theory of quantum mechanics.The third chapter describes investigations of the solid-state multiple-quantum magic angle spinning (MQMAS) NMR experiment applied to I = 5/2 quadrupolar nu-2 clei. This work reports the use of rotary resonance-matched radiofrequency irradiation for sensitivity enhancement of the I = 5/2 MQMAS experiment. These experiments exhibited certain selective line narrowing effects which were investigated theoretically.The fourth chapter extends the discussion of multiple quantum spectroscopy of quadrupolar nuclei to a mostly theoretical study of the feasibility of enhancing the resolution of nitrogen-14 NMR of large biomolecules in solution via double-quantum spectroscopy.The fifth chapter continues to extend the principles of multiple quantum NMR spectroscopy of quadrupolar nuclei to make analogies between experiments in NMR/nuclear quadrupolar resonance (NQR) and experiments in atomic/molecular optics (AMO). These analogies are made through the Hamiltonian and density operator formalism of angular momentum dynamics in the presence of electric and magnetic fields.The sixth chapter investigates the use of the macroscopic nuclear dipolar field to encode the NMR spectrum of an analyte nucleus indirectly in the magnetization of a sensor nucleus. This technique could potentially serve as an encoding module for the recently developed NMR remote detection experiment. The feasibility of using hyperpolarized xenon-129 gas as a sensor is discussed. This work also reports the use of an optical atomic magnetometer to detect the nuclear magnetization of Xe-129 gas, which has potential applicability as a detection module for NMR remote detection experiments.

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Multipole NMR. IX. Polar graphical representation of nuclear spin polarizations

Cited by 19 publications

References 12 publications

Solid-state Li NMR with applications to the translational dynamics in ion conductors

Solid-state Li NMR with applications to the translational dynamics in ion conductors

Operator formalisms: An overview

Nuclear magnetic resonance studies of quadrupolar nuclei and dipolar field effects

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