Exchange-induced relaxation in the presence of a fictitious field

Sorce, Dennis J.; Mangia, Silvia; Liimatainen, Timo; Michaeli, Shalom

doi:10.1016/j.jmr.2014.04.019

Cited by 4 publications

(5 citation statements)

References 31 publications

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“…In the Garwood papers (7,8,9), the pulse amplitude is typically on the order of 3 3.610 Hz. Then we reason that the interaction energy of the magnetic moment with the field in the TDRF should be greater than the thermal energy of the surrounding liquid medium.…”

Section: Discussionmentioning

confidence: 99%

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Effect of RF Fields During Pulse on Rotational Diffusion: Influence on Spectral Density

Sorce¹

2020

GJMR

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The effect of the applied RF field in an NMR experiment on the magnitude of the Spectral Density for a Dipolar Relaxation Mechanism is demonstrated theoretically. The effect was shown with Sin Cos Pulse as a concrete example. The order of magnitude of the magnetic moment where these effects will be significant for typical Rf amplitude values was derived. The effect may be of utility in providing an alternate method of control for MRI Tissue Contrast applications with further development.Abstract-The effect of the applied RF field in an NMR experiment on the magnitude of the Spectral Density for a Dipolar Relaxation Mechanism is demonstrated theoretically. The effect was shown with Sin Cos Pulse as a concrete example. The order of magnitude of the magnetic moment where these effects will be significant for typical Rf amplitude values was derived. The effect may be of utility in providing an alternate method of control for MRI Tissue Contrast applications with further development.I.

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Section: Discussionmentioning

confidence: 99%

“…M ω is a constant (See for example the relevant papers of the Garwood Group (7,8,9). In the TDRF the effective field can be seen from geometric arguments to be defined as:…”

Section: Theorymentioning

confidence: 99%

Effect of RF Fields During Pulse on Rotational Diffusion: Influence on Spectral Density

Sorce¹

2020

GJMR

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show abstract

“…In the Garwood papers [9][10][11], the pulse amplitude is typically on the order of 3 3.610 Hz. Then we reason that the interaction energy of the magnetic moment with the field in the TDRF should be greater than the thermal energy of the surrounding liquid medium.…”

Section: Discussionmentioning

confidence: 99%

Effect of RF Fields during Pulse on Rotational Diffusion: Influence on Spectral Density

Sorce¹

2020

Int J Radiol Imaging Technol

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The effect of the applied RF field in an NMR experiment on the magnitude of the Spectral Density for a Dipolar Relaxation Mechanism is demonstrated theoretically. The effect is shown with Sin Cos Pulse as a concrete example. The order of magnitude of the magnetic moment where these effects will be significant for typical Rf amplitude values is derived. The effect may be of utility in providing an alternate method of control for MRI Tissue Contrast applications with further development.

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“…We start the development by writing down Radio-Frequency Hamiltonian that can be used to characterize the time evolution of a spin ½ system of nuclei which is valid in the so-called First Rotating Frame (FRF) [20,21]. In this Hamiltonian we neglect any dissipative terms such as Dipolar or Quadrupolar interactions [12,[22][23][24][25].…”

Section: Theorymentioning

confidence: 99%

Fractal Density Matrix for the Case of Time Dependent Radio Frequency Pulses Defined in the First Rotating Frame

J¹

2020

Int J Magnetics Electromagnetism

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We treat in this effort the problem of time evolution during a time dependent radio-frequency pulse in the First Rotating Frame (FRF) with Fractal Time Derivatives for the Representation of the Schroedinger Equation and Fractal Density Matrix for Like Spins ½. The resultant time evolutions during a Sin-Cos Pulse are compared with the Time Dependence during the Fractal Bloch equations without relaxation solved using Standard Runge Kutta methods. The results are found to be identical. The dependence of the Magnetization on the Fractal Coefficient is Explored and Documented. Fractal treatments of physical systems became very popular in the 70's and 80's due to the pioneering efforts of Mandelbrot [16-18]. Fractional Calculus is a branch of Mathematics that dates back to the era of Leibnitz the Diplomat, Mathematician

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Exchange-induced relaxation in the presence of a fictitious field

Cited by 4 publications

References 31 publications

Effect of RF Fields During Pulse on Rotational Diffusion: Influence on Spectral Density

Effect of RF Fields During Pulse on Rotational Diffusion: Influence on Spectral Density

Effect of RF Fields during Pulse on Rotational Diffusion: Influence on Spectral Density

Fractal Density Matrix for the Case of Time Dependent Radio Frequency Pulses Defined in the First Rotating Frame

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