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Analytical solution for the inverting pulses with constant adiabaticity. / Ivanov, Konstantin L.; Snadin, Alexander V.; Kiryutin, Alexei S. et al.

In: Journal of magnetic resonance (San Diego, Calif. : 1997), Vol. 343, 107298, 01.10.2022.

Research output: Contribution to journal › Article › peer-review

Harvard

Ivanov, KL, Snadin, AV, Kiryutin, AS & Lukzen, NN 2022, 'Analytical solution for the inverting pulses with constant adiabaticity', Journal of magnetic resonance (San Diego, Calif. : 1997), vol. 343, 107298. https://doi.org/10.1016/j.jmr.2022.107298

APA

Ivanov, K. L., Snadin, A. V., Kiryutin, A. S., & Lukzen, N. N. (2022). Analytical solution for the inverting pulses with constant adiabaticity. Journal of magnetic resonance (San Diego, Calif. : 1997), 343, [107298]. https://doi.org/10.1016/j.jmr.2022.107298

Vancouver

Ivanov KL, Snadin AV, Kiryutin AS, Lukzen NN. Analytical solution for the inverting pulses with constant adiabaticity. Journal of magnetic resonance (San Diego, Calif. : 1997). 2022 Oct 1;343:107298. doi: 10.1016/j.jmr.2022.107298

Author

Ivanov, Konstantin L. ; Snadin, Alexander V. ; Kiryutin, Alexei S. et al. / Analytical solution for the inverting pulses with constant adiabaticity. In: Journal of magnetic resonance (San Diego, Calif. : 1997). 2022 ; Vol. 343.

BibTeX

@article{5363759ae830457baffa66a1183eb955,
title = "Analytical solution for the inverting pulses with constant adiabaticity",
abstract = "The exact solution was found for inverting pulses with constant adiabaticity for spin ½. The analytical relationship between the time-varying frequency of the microwave resonant field (or RF field in the case of NMR) and its amplitude time dependence such that the adiabaticity parameter remains constant for the single isochromat throughout the pulse is found. Comparison with EPR (hyperbolic tangent)-(hyperbolic secant) pulse method was carried out. On the basis of the analytical solution the pulses with different dependences of the microwave field amplitude conserving the constant adiabaticity have been constructed. The pulses exhibit rather sharp inversion selectivity that can be used in the field of EPR, NMR and MRI.",
keywords = "Exact solution for constant adiabaticity, Frequency-swept pulses, Inverting pulses, Spin dynamics",
author = "Ivanov, {Konstantin L.} and Snadin, {Alexander V.} and Kiryutin, {Alexei S.} and Lukzen, {Nikita N.}",
note = "Publisher Copyright: {\textcopyright} 2022 Elsevier Inc.",
year = "2022",
month = oct,
day = "1",
doi = "10.1016/j.jmr.2022.107298",
language = "English",
volume = "343",
journal = "Journal of Magnetic Resonance",
issn = "1090-7807",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - Analytical solution for the inverting pulses with constant adiabaticity

AU - Ivanov, Konstantin L.

AU - Snadin, Alexander V.

AU - Kiryutin, Alexei S.

AU - Lukzen, Nikita N.

N1 - Publisher Copyright: © 2022 Elsevier Inc.

PY - 2022/10/1

Y1 - 2022/10/1

N2 - The exact solution was found for inverting pulses with constant adiabaticity for spin ½. The analytical relationship between the time-varying frequency of the microwave resonant field (or RF field in the case of NMR) and its amplitude time dependence such that the adiabaticity parameter remains constant for the single isochromat throughout the pulse is found. Comparison with EPR (hyperbolic tangent)-(hyperbolic secant) pulse method was carried out. On the basis of the analytical solution the pulses with different dependences of the microwave field amplitude conserving the constant adiabaticity have been constructed. The pulses exhibit rather sharp inversion selectivity that can be used in the field of EPR, NMR and MRI.

AB - The exact solution was found for inverting pulses with constant adiabaticity for spin ½. The analytical relationship between the time-varying frequency of the microwave resonant field (or RF field in the case of NMR) and its amplitude time dependence such that the adiabaticity parameter remains constant for the single isochromat throughout the pulse is found. Comparison with EPR (hyperbolic tangent)-(hyperbolic secant) pulse method was carried out. On the basis of the analytical solution the pulses with different dependences of the microwave field amplitude conserving the constant adiabaticity have been constructed. The pulses exhibit rather sharp inversion selectivity that can be used in the field of EPR, NMR and MRI.

KW - Exact solution for constant adiabaticity

KW - Frequency-swept pulses

KW - Inverting pulses

KW - Spin dynamics

UR - http://www.scopus.com/inward/record.url?scp=85140417741&partnerID=8YFLogxK

U2 - 10.1016/j.jmr.2022.107298

DO - 10.1016/j.jmr.2022.107298

M3 - Article

C2 - 36116162

AN - SCOPUS:85140417741

VL - 343

JO - Journal of Magnetic Resonance

JF - Journal of Magnetic Resonance

SN - 1090-7807

M1 - 107298

ER -

ID: 38417672