# Azimuthal integration

## Polar map

In this step, we will extract the **azimuthal integration**, which is useful for analyzing texturing effects. First, we generate the polar map ($q$ vs $\chi$ map), where we will define the integration region for the scan.

You can adjust the **maximum $q$ value** to be displayed in the image, then run the cell.

```python
# ==================== User Parameters ====================
# Directly adjust the maximum limit in q
max_q = 12  # Maximum q in nm^-1

# =========================================================
...

```

Running the cell will generate the map.

![](images/azimuthal-2D-polar.png)

## Azimuthal profile

Now, we need to define the integration region on the 2D map to obtain the intensity vs. azimuthal angle ($\chi$) plot.

The scaling factor $I(\chi) \cdot \vert{}\sin\chi\vert{}$ accounts for the geometrical solid angle element ($d\Omega = \sin\chi \, d\chi \, d\phi$) in textured thin films, which is essential for calculating orientation distribution functions (see {cite:p}`steele2023`).

You can adjust the integration boundaries (represented by the borders of the white rectangle on the map, and the red wedge on the image) and then run the cell.

```python
# ==================== User Parameters ====================

# === 1. Integration Boundaries ===
q_min_slice = 3.7 - 0.2
q_max_slice = 3.7 + 0.2

chi_min_slice = 45.0
chi_max_slice = 90.0

# =========================================================

...
```

![](images/azimuthal-map-slice.png)
![](images/azimuthal-map-tube.png)
![](images/azimuthal-profile.png)