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Magnetic field scan steady-state DNP experiment. Returns the steady-state population of the user-specified state as a function of magnetic field.




    parameters.mw_pwr      -   microwave power, Hz

    parameters.mw_frq      -   microwave frequency offset from 
                               the free electron frequency at 
                               the reference B0 field, Hz

    parameters.fields      -   a vector of magnetic field off-
                               sets from the reference B0 field,

    parameters.rho0        -   equilibrium state at the reference
                               B0 field

    parameters.coil        -   detection state vector or a horizon-
                               tal stack thereof

    parameters.mw_oper     -   microwave irradiation operator

    parameters.ez_oper     -   Lz operator on the electrons

    parameters.method      -   'backslash' to use Matlab's
                               linear equation solver, 'gmres'
                               to use ILU preconditioned GMRES

    H - Hamiltonian matrix, received from context function

    R - relaxation superoperator, received from context function

    K - kinetics superoperator, received from context function


    dnp    -  an array of the steady state amplitudes of the
              states specified in parameters.coil as at each
              of the magnetic fields supplied


Cross effect in a system with two spin-1/2 electrons (cross_effect_field_scan_1.m example file in examples/dnp_solids directory):

Dnp example 1.png

Solid effect in a system with a spin-7/2 gadolinium ion (solid_effect_field_scan_1.m example file in examples/dnp_solids directory):

Dnp example 2.png


  1. The relaxation superoperator supplied to this function should NOT be thermalized.
  2. Thermal equilibrium state is assumed to be the same at all fields in the sweep. Do not use this function for broad magnetic field sweep experiments.
  3. Backslash method is recommended for small spin systems and GMRES method for large ones.

See also

DNP experiments

Version 2.5, authors: Ilya Kuprov, Walter Kockenberger, Alexander Karabanov, Maria Grazia Concilio