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On the theory of Double Quantum NMR in polymer systems: the second cumulant approximation for many spin I=1/2 systems

General analytical expressions for Double Quantum Nuclear Magnetic Resonance (NMR) kinetic curves of many-spin I=1/2 systems are derived with an accuracy of the second cumulant approximation. The expressions obtained exactly describe the initial part of the kinetic curves and provide a reasonable approximation up to times of about twice the effective spin-relaxation time. For the case when the system contains two isolated spins, this result exactly reproduces known expressions. In the case of polymer melts, the intermolecular magnetic dipole-dipole interactions significantly influence the time dependence of the DQ NMR kinetic curves.

preprint2013arXivOpen access
N. FatkullinC. MatteaS. Stapf
cond-mat.stat-mechcond-mat.soft
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N. FatkullinC. MatteaS. Stapf

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