overtone_dante.m

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Overtone DANTE experiment that runs a DANTE pulse train followed by frequency-domain acquisition at the overtone frequency; because time-domain overtone spectroscopy is difficult (see http://dx.doi.org/10.1039/C4CP03994G), this acquisition mode is preferable in practice, and simulations assumptions should be set to 'qnmr'.

Syntax

    spectrum=overtone_dante(spin_system,parameters,H,R,K)

Parameters

    parameters.sweep        -  vector with two elements giving the spectrum frequency extents
                               in Hz around the overtone frequency

    parameters.npoints      -  number of points in the spectrum

    parameters.rho0         -  initial state

    parameters.coil         -  detection state

    parameters.Lx           -  X Zeeman operator on the quadrupolar nucleus

    parameters.pulse_dur    -  duration of each pulse, seconds

    parameters.pulse_amp    -  amplitude of each pulse, rad/s

    parameters.pulse_num    -  number of pulses within rotor period

    parameters.n_periods    -  number of rotor periods that the sequence is active for

    parameters.spins        -  overtone-active nucleus, specified as a
                               single-element cell array

    parameters.spc_dim      -  Fokker-Planck spatial dimension

    parameters.rf_frq       -  pulse frequency offset from the overtone
                               frequency, Hz

    parameters.rate         -  rotor frequency, Hz

    H                       -  Hamiltonian commutation superoperator

    R                       -  unthermalised relaxation superoperator 

    K                       -  chemical kinetics superoperator

Returns

The function returns the overtone spectrum.

Examples

See examples/nmr_overtone/dante_glycine.m example file.

Notes

  1. Relaxation must be present in the system dynamics, or the matrix inverse-times-vector operation performed by the frequency domain detection module would fail to converge. The relaxation superoperator should not be thermalised.
  2. Relaxation theory is not applied during the DANTE sequence.

See also

overtone_cp.m, overtone_pa.m, overtone_a.m, slowpass.m, assume.m, Built-in_experiments

Version 2.9, authors: Ilya Kuprov, Marina Carravetta