Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Experiment Videos

Operator-based triple-mode Floquet theory in solid-state NMR.

Ingo Scholz1, Beat H Meier, Matthias Ernst

  • 1Physical Chemistry, ETH Zurich, Zürich, Switzerland.

The Journal of Chemical Physics
|December 7, 2007
PubMed
Summary
This summary is machine-generated.

Related Concept Videos

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

The Cytosolic Zinc Finger Domain Structure of the CCHFV Glycoprotein n Is Maintained in Its Membrane-Bound Form.

Journal of the American Chemical Society·2026
Same author

An engineered closed-shell, two-component, 480-subunit nucleocapsid.

Proceedings of the National Academy of Sciences of the United States of America·2026
Same author

NMR Structural Characterization of SARS-CoV-2 ORF6 Reveals an N-Terminal Membrane Anchor.

Journal of the American Chemical Society·2025
Same author

Analysis of the structure and interactions of the SARS-CoV-2 ORF7b accessory protein.

Proceedings of the National Academy of Sciences of the United States of America·2024
Same author

Hepatitis Delta Antigen Retains the Assembly Domain as the Only Rigid Entity.

Journal of the American Chemical Society·2024
Same author

A structural rationale for reversible vs irreversible amyloid fibril formation from a single protein.

Nature communications·2024
Same journal

A data-driven modeling study on the accurate identification of Doppler-free saturated absorption spectra in diatomic tellurium (130Te2).

The Journal of chemical physics·2026
Same journal

Anharmonic phonons via quantum thermal bath simulations.

The Journal of chemical physics·2026
Same journal

Quantum simulation of alignment dependent differential cross sections in co-propagating molecular beams at cold collision energies.

The Journal of chemical physics·2026
Same journal

Non-additive ion effects on the coil-globule equilibrium of a generic polymer in aqueous salt solutions.

The Journal of chemical physics·2026
Same journal

Insights into the unexpected small reduction of the temperature of maximum density of water by lithium chloride addition.

The Journal of chemical physics·2026
Same journal

Optical frequency comb double-resonance spectroscopy of the 9030-9175 cm-1 states of ethylene.

The Journal of chemical physics·2026
See all related articles

This study extends the Floquet description for solid-state Nuclear Magnetic Resonance (NMR) experiments to handle three incommensurate frequencies. This advance enables the design of effective Hamiltonians for complex NMR experiments, improving control over spin systems.

Area of Science:

  • Solid-state Nuclear Magnetic Resonance (NMR) spectroscopy.
  • Quantum mechanics and theoretical chemistry.
  • Spin dynamics and magnetic resonance imaging.

Background:

  • Solid-state NMR experiments often utilize time-dependent Hamiltonians to engineer desired system properties.
  • Designing effective Hamiltonians requires averaging out unwanted time-dependent perturbations.
  • Existing theoretical frameworks struggle with multiple incommensurate frequencies.

Purpose of the Study:

  • To extend the analytical operator-based Floquet description to accommodate three incommensurate frequencies in NMR experiments.
  • To provide a general theoretical framework for designing effective Hamiltonians in complex solid-state NMR.
  • To enable the calculation of effective Hamiltonians independent of detailed spin-system knowledge.

Main Methods:

Related Experiment Videos

  • Extension of the analytical operator-based Floquet theory.
  • Application to systems with three time-dependent perturbations and incommensurate frequencies.
  • Analysis of a prototype experiment involving two continuous-wave radio-frequency fields under magic-angle spinning.

Main Results:

  • A generalized Floquet description capable of handling three incommensurate frequencies has been developed.
  • The framework allows for the calculation of effective Hamiltonians based on Fourier components of time-dependent perturbations.
  • The approach is demonstrated to be applicable to common solid-state NMR experiments like Hartmann-Hahn cross-polarization and rotary-resonance recoupling.

Conclusions:

  • The extended Floquet description provides a powerful and general tool for designing complex solid-state NMR experiments.
  • This theoretical advancement facilitates the creation of effective Hamiltonians for improved control and analysis of spin systems.
  • The method simplifies the design process by not requiring prior knowledge of the specific spin-system Hamiltonian.