Subsections
Figure 16.5:
The isotropic cone model simulated and calculated in-frame
Daeg(1) frame order matrix elements.
In these plots,
θX corresponds to the cone opening half-angle θ and
θZ to the torsion half-angle
σmax.
When the half-angle is not varied, the angle is fixed to either
θ = π/4 or
σmax = π/6.
Frame order matrix values have been calculated every 10 degrees.
|
Figure 16.6:
The isotropic cone model simulated and calculated in-frame
Daeg(2) frame order matrix elements.
In these plots,
θX corresponds to the cone opening half-angle θ and
θZ to the torsion half-angle
σmax.
When the half-angle is not varied, the angle is fixed to either
θ = π/4 or
σmax = π/6.
Frame order matrix values have been calculated every 10 degrees.
|
Figure 16.7:
The isotropic cone model simulated and calculated out-of-frame
Daeg(1) frame order matrix elements.
In these plots,
θX corresponds to the cone opening half-angle θ and
θZ to the torsion half-angle
σmax.
When the half-angle is not varied, the angle is fixed to either
θ = π/4 or
σmax = π/6.
Frame order matrix values have been calculated every 10 degrees.
|
Figure 16.8:
The isotropic cone model simulated and calculated out-of-frame
Daeg(2) frame order matrix elements.
In these plots,
θX corresponds to the cone opening half-angle θ and
θZ to the torsion half-angle
σmax.
When the half-angle is not varied, the angle is fixed to either
θ = π/4 or
σmax = π/6.
Frame order matrix values have been calculated every 10 degrees.
|
The rotation matrix is the full torsion-tilt rotation matrix of equation 12.74c on page .
Isotropic cone frame order matrix
The frame order matrix is
The surface normalisation factor is
The 1 degree frame order matrix with tensor rank-2 is
The 2 degree frame order matrix with tensor rank-4 consists of the following elements, using Kronecker product double indices from 0 to 8
The frame order matrix element simulation script from Section 16.2, page was used to compare the implementation of equations 16.25 and 16.26 above.
Frame order matrix
Daeg(1) and
Daeg(2) values were both simulated and calculated, both within and out of the motional eigenframe.
The in-frame
Daeg(1) values are shown in figure 16.5 and
Daeg(2) in figure 16.6.
The out-of-frame
Daeg(1) values are shown in figure 16.7 and
Daeg(2) in figure 16.8.
The relax user manual (PDF), created 2020-08-26.