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# Module iso_cone_free_rotor

source code

Module for the handling of Frame Order.

 Functions

 compile_2nd_matrix_iso_cone_free_rotor(matrix, Rx2_eigen, s1) Generate the rotated 2nd degree Frame Order matrix for the free rotor isotropic cone. source code

 populate_2nd_eigenframe_iso_cone_free_rotor(matrix, s1) Populate the 2nd degree Frame Order matrix in the eigenframe for the free rotor isotropic cone. source code
 Variables
__package__ = `'lib.frame_order'`

Imports: cos, order_parameters, rotate_daeg

 Function Details

### compile_2nd_matrix_iso_cone_free_rotor(matrix, Rx2_eigen, s1)

source code

Generate the rotated 2nd degree Frame Order matrix for the free rotor isotropic cone.

The cone axis is assumed to be parallel to the z-axis in the eigenframe. In this model, the three order parameters are defined as:

```   S1 = S2,
S3 = 0
```
Parameters:
• `matrix` (numpy 9D, rank-2 array) - The Frame Order matrix, 2nd degree to be populated.
• `Rx2_eigen` (numpy 9D, rank-2 array) - The Kronecker product of the eigenframe rotation matrix with itself.
• `s1` (float) - The cone order parameter.

### populate_2nd_eigenframe_iso_cone_free_rotor(matrix, s1)

source code

Populate the 2nd degree Frame Order matrix in the eigenframe for the free rotor isotropic cone.

The cone axis is assumed to be parallel to the z-axis in the eigenframe. In this model, the three order parameters are defined as:

```   S1 = S2,
S3 = 0
```

This is in the Kronecker product form.

Parameters:
• `matrix` (numpy 9D, rank-2 array) - The Frame Order matrix, 2nd degree.
• `s1` (float) - The cone order parameter.

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