Calculations of Multipulse Sequence in NQR of Spins 32

Odin, Christophe

doi:10.1006/jmre.1999.1905

Cited by 14 publications

(7 citation statements)

References 14 publications

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“…The formula were obtained as a function of the pulse and free-evolution super-operators with a few hypothesis, and can also be applied to NQR. By combining these formal solutions to a formalism that we developed for NQR of spins 3/2 [23], [24], it is shown in this article that explicit formula for the signal, in the hypothesis that the coherences have decayed during the recycle time, can be obtained. …”

Section: Nmr Sstmentioning

confidence: 99%

“…Exact solutions for NQR of spins I=3/2 were obtained by Pratt et al [25]. In this section, we summarize the principal equations of the formalism that we developed in [23] for the special case of spins I=3/2. The Zeeman and dipolar interactions are neglected, to treat only the case of a spin subjected to a strong quadrupolar interaction and a RF field in the coil direction.…”

Section: Nqr Of Spins 3/2mentioning

confidence: 99%

“…An analytical expression of g(λ ) as a function of the complete elliptic integral can be found in [23]. From the numerical point of view, it is much easier to perform the average in Eq.15 using a Monte-Carlo integration method, than to use the analytic expression of g(λ ), because it contains a divergence, and the numerical evaluation of complete elliptic integrals is quite computer demanding.…”

Section: Nqr Of Spins 3/2mentioning

confidence: 99%

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Repetitive experiments of one or two-pulse sequences in NQR of spins I=3/2: Liouville space, steady-state, Ernst angle and optimum signal

Odin

2017

Solid State Nuclear Magnetic Resonance

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To cite this version:Christophe Odin. Repetitive experiments of one or two-pulse sequences in NQR of spins I=3/2: Liouville space, steady-state, Ernst angle and optimum signal. Solid State Nuclear Magnetic Resonance, Elsevier, 2017, 85, pp.25-33 AbstractIn NMR, the repetition of pulse sequences with a recycle time that does not allow the spin system to completely relax back to equilibrium is a well known and often used method to increase the signal to noise ratio at given total measuring time. For isolated spins I=1/2, the steady-state of a train of strictly identical pulse sequences separated by free evolution periods of same duration is described by the well known Ernst-Anderson model, and the optimum pulse angle is given by the Ernst angle. We showed recently that equivalent formula, but with super-operators in the Liouville space, can be obtained for general spins I. In this article, this formalism is generalized to pure NQR of spins I=3/2, and applied to calculate the signal resulting from single and solid-echo sequences, in the limit when the recycle time powder.

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Section: Nmr Sstmentioning

confidence: 99%

Section: Nqr Of Spins 3/2mentioning

confidence: 99%

Section: Nqr Of Spins 3/2mentioning

confidence: 99%

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Repetitive experiments of one or two-pulse sequences in NQR of spins I=3/2: Liouville space, steady-state, Ernst angle and optimum signal

Odin

2017

Solid State Nuclear Magnetic Resonance

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“…This section is devoted to a brief account of the general features of a formalism developed in a previous article (11) to handle pure NQR of spin I ϭ 3 2 , and to present the CayleyKlein formalism used in the computer simulations. Other formalisms can be found in (12)(13)(14)(15).…”

Section: Theorymentioning

confidence: 99%

“…The probability density g() depends on the asymmetry parameter , and was calculated analytically in (11). To be complete, the analytical expression of g() is given in the Appendix.…”

Section: The Powder Average Of Signal S(t ) Is Thenmentioning

confidence: 99%