On the accuracy of the state space restriction approximation for spin dynamics simulations.

J Chem Phys

Sir Peter Mansfield Magnetic Resonance Centre, School of Physics and Astronomy, University of Nottingham, University Park, Nottingham, NG7 2RD, United Kingdom.

Published: August 2011

AI Article Synopsis

  • The paper introduces a mathematical framework for improving spin dynamics simulations by limiting the state space, aiming to enhance accuracy in various simulation tasks.
  • It identifies specific conditions under which this method is applicable, along with the necessary minimal basis set to ensure reliable results.
  • The findings are illustrated through examples in NMR, ESR, DNP, and spin chemistry, showing that the approach works well when the time scales of spin relaxation and the experimental processes align.

Article Abstract

We present an algebraic foundation for the state space restriction approximation in spin dynamics simulations and derive applicability criteria as well as minimal basis set requirements for practically encountered simulation tasks. The results are illustrated with nuclear magnetic resonance (NMR), electron spin resonance (ESR), dynamic nuclear polarization (DNP), and spin chemistry simulations. It is demonstrated that state space restriction yields accurate results in systems where the time scale of spin relaxation processes approximately matches the time scale of the experiment. Rigorous error bounds and basis set requirements are derived.

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Source
http://dx.doi.org/10.1063/1.3624564DOI Listing

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