Quantitative Determination of the Adiabatic Condition Using Force-Detected Nuclear Magnetic Resonance

TL;DR

This paper investigates the adiabatic condition in nuclear magnetic resonance force microscopy, establishing a quantitative threshold for adiabaticity by analyzing signal degradation during cyclic adiabatic inversion.

Contribution

It introduces a method to quantitatively determine the adiabaticity threshold in NMR force microscopy using experimental data and theoretical analysis.

Findings

Identified the adiabaticity threshold as $( ext{γ}H_1)^2/( ext{ω}_{ ext{osc}} ext{Ω})=6.0$

Observed signal-to-noise degradation when the adiabatic condition was violated

Validated the theoretical model with experimental results

Abstract

The adiabatic condition governing cyclic adiabatic inversion of proton spins in a micron-sized ammonium chloride crystal was studied using room temperature nuclear magnetic resonance force microscopy. A systematic degradation of signal-to-noise was observed as the adiabatic condition became violated. A theory of adiabatic following applicable to cyclic adiabatic inversion is reviewed and implemented to quantitatively determine an adiabaticity threshold $(\gamma H_1)^2/(\omega_{osc}\Omega) = 6.0$ from our experimental results.