Standard

Analytical solution of the PELDOR inverse problem using the integral Mellin transform. / Matveeva, Anna G.; Nekrasov, Vyacheslav M.; Maryasov, Alexander G.

In: Physical Chemistry Chemical Physics, Vol. 19, No. 48, 13.12.2017, p. 32381-32388.

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

Harvard

Matveeva, AG, Nekrasov, VM & Maryasov, AG 2017, 'Analytical solution of the PELDOR inverse problem using the integral Mellin transform', Physical Chemistry Chemical Physics, vol. 19, no. 48, pp. 32381-32388. https://doi.org/10.1039/c7cp04059h

APA

Matveeva, A. G., Nekrasov, V. M., & Maryasov, A. G. (2017). Analytical solution of the PELDOR inverse problem using the integral Mellin transform. Physical Chemistry Chemical Physics, 19(48), 32381-32388. https://doi.org/10.1039/c7cp04059h

Vancouver

Matveeva AG, Nekrasov VM, Maryasov AG. Analytical solution of the PELDOR inverse problem using the integral Mellin transform. Physical Chemistry Chemical Physics. 2017 Dec 13;19(48):32381-32388. doi: 10.1039/c7cp04059h

Author

Matveeva, Anna G. ; Nekrasov, Vyacheslav M. ; Maryasov, Alexander G. / Analytical solution of the PELDOR inverse problem using the integral Mellin transform. In: Physical Chemistry Chemical Physics. 2017 ; Vol. 19, No. 48. pp. 32381-32388.

BibTeX

@article{9532353f7a144bb3a3345c7afe5551ef,
title = "Analytical solution of the PELDOR inverse problem using the integral Mellin transform",
abstract = "We describe a new model-free approach to solve the inverse problem in pulsed double electron-electron resonance (PELDOR, also known as DEER) spectroscopy and obtain the distance distribution function between two radicals from time-domain PELDOR data. The approach is based on analytical solutions of the Fredholm integral equations of the first kind using integral Mellin transforms to provide the distance distribution function directly. The approach appears to confine the noise in the computed distance distribution to short distances and does not introduce systematic distortions. Thus, the proposed analysis method can be a useful supplement to current methods to determine complicated distance distributions.",
keywords = "ELECTRON-ELECTRON RESONANCE, PAIR DISTANCE DISTRIBUTIONS, TIKHONOV REGULARIZATION, DEER SPECTROSCOPY, MAXIMUM-ENTROPY, SPIN-RESONANCE, PULSED ELDOR, EPR, SOLIDS, ECHO",
author = "Matveeva, {Anna G.} and Nekrasov, {Vyacheslav M.} and Maryasov, {Alexander G.}",
year = "2017",
month = dec,
day = "13",
doi = "10.1039/c7cp04059h",
language = "English",
volume = "19",
pages = "32381--32388",
journal = "Physical Chemistry Chemical Physics",
issn = "1463-9076",
publisher = "Royal Society of Chemistry",
number = "48",

}

RIS

TY - JOUR

T1 - Analytical solution of the PELDOR inverse problem using the integral Mellin transform

AU - Matveeva, Anna G.

AU - Nekrasov, Vyacheslav M.

AU - Maryasov, Alexander G.

PY - 2017/12/13

Y1 - 2017/12/13

N2 - We describe a new model-free approach to solve the inverse problem in pulsed double electron-electron resonance (PELDOR, also known as DEER) spectroscopy and obtain the distance distribution function between two radicals from time-domain PELDOR data. The approach is based on analytical solutions of the Fredholm integral equations of the first kind using integral Mellin transforms to provide the distance distribution function directly. The approach appears to confine the noise in the computed distance distribution to short distances and does not introduce systematic distortions. Thus, the proposed analysis method can be a useful supplement to current methods to determine complicated distance distributions.

AB - We describe a new model-free approach to solve the inverse problem in pulsed double electron-electron resonance (PELDOR, also known as DEER) spectroscopy and obtain the distance distribution function between two radicals from time-domain PELDOR data. The approach is based on analytical solutions of the Fredholm integral equations of the first kind using integral Mellin transforms to provide the distance distribution function directly. The approach appears to confine the noise in the computed distance distribution to short distances and does not introduce systematic distortions. Thus, the proposed analysis method can be a useful supplement to current methods to determine complicated distance distributions.

KW - ELECTRON-ELECTRON RESONANCE

KW - PAIR DISTANCE DISTRIBUTIONS

KW - TIKHONOV REGULARIZATION

KW - DEER SPECTROSCOPY

KW - MAXIMUM-ENTROPY

KW - SPIN-RESONANCE

KW - PULSED ELDOR

KW - EPR

KW - SOLIDS

KW - ECHO

UR - http://www.scopus.com/inward/record.url?scp=85038403514&partnerID=8YFLogxK

U2 - 10.1039/c7cp04059h

DO - 10.1039/c7cp04059h

M3 - Article

C2 - 29185558

AN - SCOPUS:85038403514

VL - 19

SP - 32381

EP - 32388

JO - Physical Chemistry Chemical Physics

JF - Physical Chemistry Chemical Physics

SN - 1463-9076

IS - 48

ER -

ID: 10065624