deer_3p_hard_echo.m

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Samples the spin echo in the three-pulse DEER experiment to determine its precise location - DEER spin echo can be narrow and easy to miss. For high-spin electrons the echo may not be in the expected place. Idealized hard pulses are used, each pulse only affects its specific electron or transition, depending on the pulse operators supplied.

Syntax

    echo=deer_3p_hard_echo(spin_system,parameters,H,R,K)

Arguments

     parameters.ex_prob   - probe pulse operator

     parameters.ex_pump   - pump pulse operator

     parameters.ta        - time between first and third pulse, s 

     parameters.tb        - time between first and second pulse, s

     parameters.tc        - time interval to sample around the 
                            echo, s

     parameters.rho0      - initial condition

     parameters.nsteps    - number of sampling steps in the tc 
                            interval

     parameters.coil      - detection state

     H  - Hamiltonian matrix, received from context function

     R  - relaxation superoperator, received from context function

     K  - kinetics superoperator, received from context function

Outputs

     echo - the signal detected during the parameters.tc interval
            with parameters.nsteps points in it

Examples

The echoes for DEER experiments with a two Cu(II) ions (top, examples/esr_solids/hard_3_pulse_echo_cu.m) and two Gd(III) ions (bottom, examples/esr_solids/hard_3_pulse_echo_gd.m) are shown below.

Echo cu.png Echo gd.png

See also

deer_3p_hard_deer.m, deer_3p_soft_deer.m, deer_3p_soft_diag.m, deer_3p_soft_hole.m, deer_4p_soft_deer.m, deer_4p_soft_diag.m, deer_4p_soft_hole.m, deer_analyt.m, eseem.m, oopeseem.m, deernet.m


Version 2.3, authors: Ilya Kuprov, Luke Edwards, Nurit Manukovsky, Daniella Goldfarb