A general numerical analysis of time-domain NQR experiments

Elad Harel*, Herman Cho

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

5 Scopus citations


We introduce a general numerical approach for solving the Liouville equation of an isolated quadrupolar nuclide that can be used to analyze the unitary dynamics of time-domain NQR experiments. A numerical treatment is necessitated by the dimensionality of the Liouville space, which precludes analytical, closed form solutions for I > 3/2. Accurate simulations of experimental nutation curves, forbidden transition intensities, powder and single crystal spectra, and off-resonance irradiation dynamics can be computed with this method. We also examine the validity of perturbative approximations where the signal intensity of a transition is proportional to the transition moment between the eigenstates of the system, thus providing a simple basis for determining selection rules. Our method allows us to calculate spectra for all values of the asymmetry parameter, η, and sample orientations relative to the coil axis. We conclude by demonstrating the methodology for calculating the response of the quadrupole system to amplitude- and frequency-modulated pulses.

Original languageEnglish (US)
Pages (from-to)308-314
Number of pages7
JournalJournal of Magnetic Resonance
Issue number2
StatePublished - Dec 2006


  • Liouville equation
  • Time-dependent perturbation theory
  • Time-domain nuclear quadrupole resonance

ASJC Scopus subject areas

  • Biophysics
  • Biochemistry
  • Nuclear and High Energy Physics
  • Condensed Matter Physics


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