ex_7pdeer

7-pulse DEER experiment


Syntax

info = ex_7pdeer(t)
pathways = ex_7pdeer(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_7pdeer.png

In order to reduce the parameter space, only the dipolar pathways refocusing at positive times (pathways #1-3) are considered in this model:

K(t,r) =
[\Lambda_0 + \sum^3_{p=1} \lambda_p K_0(t-T_0^{(p)},r)]
\prod^3_{p=1} B(t - T_0^{(p)},\lambda_p)

where T_0^{(1)}=0\;\mu s, T_0^{(2)}, and T_0^{(3)} are the refocusing times of the three modulated dipolar pathways at positive evolution times.

Variable Symbol Default Lower Upper Description
param(1) \varLambda_0 0.4 0 1 unmodulated pathways, amplitude
param(2) \lambda_1 0.4 0 1 1st modulated pathway, amplitude
param(3) \lambda_2 0.2 0 1 2nd modulated pathway, amplitude
param(4) \lambda_3 0.2 0 1 3rd modulated pathway, amplitude
param(5) T_0^{(2)} 1/5\max(t) 1/5\max(t)-2 1/5\max(t)+2 2nd modulated pathway, refocusing time (us)
param(6) T_0^{(3)} 2/5\max(t) 2/5\max(t)-2 2/5\max(t)+2 3rd modulated pathway, refocusing time (us)

Example of a simulated signal using default parameters:

../_images/model_ex_7pdeer.png

Description

info = ex_7pdeer(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_7pdeer(t,param)

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