---
_id: '17161'
abstract:
- lang: eng
  text: Dynamic processes in molecules can occur on a wide range of timescales, and
    it is important to understand which timescales of motion contribute to different
    parameters used in dynamics measurements. For spin relaxation, this can easily
    be understood from the sampling frequencies of the spectral-density function by
    different relaxation-rate constants. In addition to data from relaxation measurements,
    determining dynamically averaged anisotropic interactions in magic-angle spinning
    (MAS) solid-state NMR allows for better quantification of the amplitude of molecular
    motion. For partially averaged anisotropic interactions, the relevant timescales
    of motion are not so clearly defined. Whether the averaging depends on the experimental
    methods (e.g., pulse sequences) or conditions (e.g., MAS frequency, magnitude
    of anisotropic interaction, radio-frequency field amplitudes) is not fully understood.
    To investigate these questions, we performed numerical simulations of dynamic
    systems based on the stochastic Liouville equation using several experiments for
    recoupling the dipolar coupling, chemical-shift anisotropy or quadrupolar coupling.
    As described in the literature, the transition between slow motion, where parameters
    characterizing the anisotropic interaction are not averaged, and fast motion,
    where the tensors are averaged leading to a scaled anisotropic quantity, occurs
    over a window of motional rate constants that depends mainly on the strength of
    the interaction. This transition region can span 2 orders of magnitude in exchange-rate
    constants (typically in the microsecond range) but depends only marginally on
    the employed recoupling scheme or sample spinning frequency. The transition region
    often coincides with a fast relaxation of coherences, making precise quantitative
    measurements difficult. Residual couplings in off-magic-angle experiments, however,
    average over longer timescales of motion. While in principle one may gain information
    on the timescales of motion from the transition area, extracting such information
    is hampered by low signal-to-noise ratio in experimental spectra due to fast relaxation
    that occurs in the same region.
acknowledgement: "We would like to thank Kay Saalwächter for pointing out important
  aspects of the intermediate regime during the open review process. Lea Marie Becker
  is recipient of a DOC fellowship of the Austrian Academy of Sciences at the Institute
  of Science and Technology Austria.\r\nThis research has been supported by the Österreichischen
  Akademie der Wissenschaften (grant no. PR10660EAW01) and the Schweizerischer Nationalfonds
  zur Förderung der Wissenschaftlichen Forschung (grant nos. 200020_188988 and 200020_219375)."
article_processing_charge: Yes
article_type: original
author:
- first_name: Kathrin
  full_name: Aebischer, Kathrin
  last_name: Aebischer
- first_name: Lea Marie
  full_name: Becker, Lea Marie
  id: 36336939-eb97-11eb-a6c2-c83f1214ca79
  last_name: Becker
  orcid: 0000-0002-6401-5151
- first_name: Paul
  full_name: Schanda, Paul
  id: 7B541462-FAF6-11E9-A490-E8DFE5697425
  last_name: Schanda
  orcid: 0000-0002-9350-7606
- first_name: Matthias
  full_name: Ernst, Matthias
  last_name: Ernst
citation:
  ama: Aebischer K, Becker LM, Schanda P, Ernst M. Evaluating the motional timescales
    contributing to averaged anisotropic interactions in MAS solid-state NMR. <i>Magnetic
    Resonance</i>. 2024;5(1):69-86. doi:<a href="https://doi.org/10.5194/mr-5-69-2024">10.5194/mr-5-69-2024</a>
  apa: Aebischer, K., Becker, L. M., Schanda, P., &#38; Ernst, M. (2024). Evaluating
    the motional timescales contributing to averaged anisotropic interactions in MAS
    solid-state NMR. <i>Magnetic Resonance</i>. Copernicus Publications. <a href="https://doi.org/10.5194/mr-5-69-2024">https://doi.org/10.5194/mr-5-69-2024</a>
  chicago: Aebischer, Kathrin, Lea Marie Becker, Paul Schanda, and Matthias Ernst.
    “Evaluating the Motional Timescales Contributing to Averaged Anisotropic Interactions
    in MAS Solid-State NMR.” <i>Magnetic Resonance</i>. Copernicus Publications, 2024.
    <a href="https://doi.org/10.5194/mr-5-69-2024">https://doi.org/10.5194/mr-5-69-2024</a>.
  ieee: K. Aebischer, L. M. Becker, P. Schanda, and M. Ernst, “Evaluating the motional
    timescales contributing to averaged anisotropic interactions in MAS solid-state
    NMR,” <i>Magnetic Resonance</i>, vol. 5, no. 1. Copernicus Publications, pp. 69–86,
    2024.
  ista: Aebischer K, Becker LM, Schanda P, Ernst M. 2024. Evaluating the motional
    timescales contributing to averaged anisotropic interactions in MAS solid-state
    NMR. Magnetic Resonance. 5(1), 69–86.
  mla: Aebischer, Kathrin, et al. “Evaluating the Motional Timescales Contributing
    to Averaged Anisotropic Interactions in MAS Solid-State NMR.” <i>Magnetic Resonance</i>,
    vol. 5, no. 1, Copernicus Publications, 2024, pp. 69–86, doi:<a href="https://doi.org/10.5194/mr-5-69-2024">10.5194/mr-5-69-2024</a>.
  short: K. Aebischer, L.M. Becker, P. Schanda, M. Ernst, Magnetic Resonance 5 (2024)
    69–86.
date_created: 2024-06-23T22:01:02Z
date_published: 2024-06-11T00:00:00Z
date_updated: 2025-06-11T13:26:12Z
day: '11'
ddc:
- '530'
department:
- _id: PaSc
doi: 10.5194/mr-5-69-2024
external_id:
  pmid:
  - '40384772'
file:
- access_level: open_access
  checksum: d01074f6919387fcaf8c9ebed320ccae
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  creator: dernst
  date_created: 2024-06-27T06:42:55Z
  date_updated: 2024-06-27T06:42:55Z
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  file_name: 2024_MagneticResonance_Aebischer.pdf
  file_size: 6736194
  relation: main_file
  success: 1
file_date_updated: 2024-06-27T06:42:55Z
has_accepted_license: '1'
intvolume: '         5'
issue: '1'
language:
- iso: eng
license: https://creativecommons.org/licenses/by/4.0/
month: '06'
oa: 1
oa_version: Published Version
page: 69-86
pmid: 1
project:
- _id: 7be609c4-9f16-11ee-852c-85015ce2b9b0
  grant_number: '26777'
  name: Exploring protein dynamics by solid-state MAS NMR through specific labeling
    approaches
publication: Magnetic Resonance
publication_identifier:
  eissn:
  - 2699-0016
publication_status: published
publisher: Copernicus Publications
quality_controlled: '1'
scopus_import: '1'
status: public
title: Evaluating the motional timescales contributing to averaged anisotropic interactions
  in MAS solid-state NMR
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 5
year: '2024'
...
