Related Experiment Video
Updated: Jul 16, 2026

Atomic Scale Structural Studies of Macromolecular Assemblies by Solid-state Nuclear Magnetic Resonance Spectroscopy
Published on: September 17, 2017
Analytical theory of gamma-encoded double-quantum recoupling sequences in solid-state nuclear magnetic resonance
Giuseppe Pileio1, Maria Concistrè, Neville McLean
1School of Chemistry, Southampton University, SO17 1BJ, UK.
Abstract:
Many important double-quantum recoupling techniques in solid-state NMR are classified as being gamma-encoded. This means that the phase of the double-quantum effective Hamiltonian, but not its amplitude, depends on the third Euler angle defining the orientation of the molecular spin system in the frame of the magic-angle-spinning rotor. In this paper, we provide closed analytical solutions for the dependence of the powder-average double-quantum-filtered signal on the recoupling times, within the average Hamiltonian approximation for gamma-encoded pulse sequences. The validity of the analytical solutions is tested by numerical simulations. The internuclear distance in a (13)C(2)-labelled retinal is estimated by fitting the analytical curves to experimental double-quantum data.
Related Concept Videos
¹H NMR: Interpreting Distorted and Overlapping Signals
As Δν decreases and the signals move closer, the doublets appear increasingly distorted. The intensities of the inner lines increase at the cost of those of the outer lines as the signals are slanted or...
Double Resonance Techniques: Overview
Spin decoupling is usually achieved by...
Atomic Nuclei: Nuclear Relaxation Processes
¹³C NMR: ¹H–¹³C Decoupling
A broadband decoupling technique is used to simplify these complex, sometimes overlapping, signals. Broadband decoupling relies on a...
Atomic Nuclei: Magnetic Resonance
Interpreting ¹H NMR Signal Splitting: The (n + 1) Rule

