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## Formulas
##### Reconstruction probe window
is given by
## Formulas
Several restrictions and limitations described are based on comparison of set values with calculated limits. These are based on following formulas.
##### Reconstruction probe window
Electron probe shape can be reconstructed during iterative reconstruction, but its size (probe window) is limited by
```math
w_{full} = \frac{\lambda \cdot CL_{eff}}{d_{eff}} [reference?]
```
where $`\lambda`$ is electron wavelength, $`CL_{eff}`$ the effective detector camera length and $`d_{eff}`$ the effective real space pixel size (including binning). $`w_{semi}`$ is then defined as $`w_{full}/2`$.
where $`\lambda`$ is electron wavelength, $`CL_{eff}`$ the effective detector camera length and $`d_{eff}`$ the effective real space pixel size (including binning). $`w_{semi}`$ is then defined as $`w_{full}/2`$.
##### Maximal usable defocus
##### Maximal usable defocus
is given by
```math
\Delta f_{max} = \frac{w_{semi} - r_{0}}{\tan \alpha_{corr}} [to test]
```
where $`w_{semi}`$ is probe semi-window, $`r_{0}`$ the beam radius with 0 defocus and $`\alpha_{corr}`$ the real probe semi-angle.
##### Pixel size in the reconstructed image
##### Pixel size in the reconstructed image
is given by
```math
pix_{ptycho} = \frac{lambda CL_{eff}}{N_{eff}d_{eff}} [reference]
```
where $`\lambda`$ is electron wavelength, $`CL_{eff}`$ the effective detector camera length, $`N_{eff}`$ the number of effective pixels and $`d_{eff}`$ the effective real space pixel size.
## Tested packages
Proper widgets layout was tested in JupyterLab 4.0.8 and Python 3.11.5. The code was tested with packages:
- Numpy version 1.26.2
- Scipy version 1.11.4
- Plotly version 5.18.0
- Pandas version 2.1.1
- IPython version 7.31.1
- Ipywidgets version 8.0.4
- Numpy version 1.26.2
- Scipy version 1.11.4
- Plotly version 5.18.0
- Pandas version 2.1.1
- IPython version 7.31.1
- Ipywidgets version 8.0.4