ex_ovl4pdeer

4-pulse DEER experiment with overlapping observer pulse


Syntax

info = ex_ovl4pdeer(t)
pathways = ex_ovl4pdeer(t,param)
Parameters
  • t - Time axis (M-array), in microseconds
  • param - Model parameters (array)
Returns
  • pathways - Dipolar pathways (array)
  • info - Model information (struct)

Model

../_images/model_scheme_ex_ovl4pdeer.png

This experiment model has two modulated pathways and an unmodulated contribution. The second modulated pathway results in the 2+1 contribution at the end of a 4-pulse DEER trace.The kernel is

K(t,r) =
[\Lambda_0 + \lambda_1 K_0(t-T_0^{(1)},r) + \lambda_2 K_0(t-T_0^{(2)},r)]
B(t-T_0^{(1)},\lambda_1)
B(t-T_0^{(2)},\lambda_2)

where T_0^{(1)}=0 and T_0^{(2)} are the refocusing times of the two modulated dipolar pathways.

Variable Symbol Default Lower Upper Description
param(1) \varLambda_0 0.1 0 1 unmodulated pathways, amplitude
param(2) \lambda_1 0.8 0 1 1st modulated pathway, amplitude
param(3) \lambda_2 0.1 0 1 2nd modulated pathway, amplitude
param(4) T_0^{(2)} \max(t) \max(t)-2 \max(t)+2 2nd modulated pathway, refocusing time (us)

Example of a simulated signal using default parameters:

../_images/model_ex_ovl4pdeer.png

Description

info = ex_ovl4pdeer(t)

Returns an info structure containing the specifics of the model:

  • info.model - Full name of the parametric model.
  • info.nparam - Total number of adjustable parameters.
  • info.parameters - Structure array with information on individual parameters.

pathways = ex_ovl4pdeer(t,param)

Generates the dipolar pathways matrix pathways from the time-axis t and model parameters param.