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Static powder interface to pulse sequences. Generates a Liouvillian superoperator, the initial state and the coil state, then passes them on to the pulse sequence function.




 pulse_sequence       -  pulse sequence function handle. See the
                         experiments directory for the list of
                         pulse sequences that ship with Spinach.
 parameters.spins     -  a cell array giving the spins that the
                         pulse sequence works on, in the order
                         of channels, e.g. {'1H','13C'}

 parameters.offset    -  a cell array giving transmitter offsets
                         in Hz on each of the spins listed in

 parameters.grid      - powder averaging grid

 parameters.rframes   - rotating frame specification, e.g.
                        {{'13C',2},{'14N,3}} requests second
                        order rotating frame transformation
                        with respect to carbon-13 and third
                        order rotating frame transformation
                        with respect to nitrogen-14. When
                        this option is used, the assumptions
                        on the respective spins should be
                        laboratory frame.

 parameters.needs   - a cell array of strings specifying additional
                      information required by the sequence:

                      'zeeman_op' - Zeeman part of the Hamiltonian
                      in the laboratory frame, to be placed into
                      parameters.hseeman and sent to pulse sequence

                      'aniso_eq' - thermal equilibrium is recomputed 
                      using the full anisotropic Hamiltonian at the
                      current orientation, and sent to the pulse 
                      sequence in parameters.rho0 subfield

  parameters.sum_up   - when set to 1 (default), returns the
                        powder average. When set to 0, returns
                        individual answers for each point in 
                        the powder as a cell array.

  parameters.*       - additional subfields may be required by your
                       pulse sequence - check its documentation page 

   assumptions     -  context-specific assumptions ('nmr', 'epr',
                      'labframe', etc.) - see the pulse sequence
                      header for information on this setting.


This function returns a powder average of whatever it is that the pulse sequence returns. If a structure is returned by the pulse sequence, the structures are powder averaged field-by-field.


There are over 100 examples using this context in the example set. The following cases are representative:

dnp_solids/crosspol_powder_static_1.m - electron-nuclear cross-polarisation DNP

esr_solids/hyscore_nitroxide_powder.m - HYSCORE spectrum of a nitroxide radical

giant_spin/triple_dy_eqmag_temp.m - temperature dependence of equilibrium magnetisation in a dysprosium cluster

nmr_solids/cp_powder_match_3.m - Hartmann-Hahn matching condition under MAS


  1. THIS IS FOR STATIC POWDERS - use singlerot.m for MAS simulations.
  2. Arbitrary order rotating frame transformation is supported, including infinite order. See the header of rotframe.m for further information.
  3. The function supports parallel processing via Matlab's Distributed Computing Toolbox - different system orientations are evaluated on different labs.

See also

crystal.m, liquid.m, roadmap.m, singlerot.m, doublerot.m, imaging.m, gridfree.m, floquet.m

Version 2.2, authors: Ilya Kuprov, Luke Edwards