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Update README.md
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lukmuk authored Sep 19, 2023
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Expand Up @@ -98,9 +98,10 @@ Manuca version 0.14 calculates the following outputs:

$\overline{Z}=\sum_i c_i Z^2_i/\sum_i c_i Z_i$

- [Donovan](https://doi.org/10.1017/S1431927603030137) (2003, with x = 0.8):
- [Donovan](https://doi.org/10.1017/S1431927603030137) (2003, with x = 0.8 and x = 0.7):

$\overline{Z}=\sum_i a_i Z^{1.8}_i/\sum_i a_i Z_i^{0.8}$
$\overline{Z}=\sum_i a_i Z^{1.8}_i/\sum_i a_i Z_i^{0.8}$
$\overline{Z}=\sum_i a_i Z^{1.7}_i/\sum_i a_i Z_i^{0.7}$

- Langmore (effective $Z$ for *elastic* scattering) (see also [Zhang et al.](https://doi.org/10.1016/j.ultramic.2016.09.005), and [Basha et al.](https://doi.org/10.1016/j.ultramic.2022.113570))

Expand All @@ -116,6 +117,12 @@ Manuca version 0.14 calculates the following outputs:

Eq. (5.4) from Egerton, R. F. *Electron Energy-Loss Spectroscopy in the Electron Microscope*. (Springer US, 2011). doi:[10.1007/978-1-4419-9583-4](https://doi.org/10.1007/978-1-4419-9583-4).
* Total and average atomic mass/molecular weight in g/mol.
* Backscatter electron coefficient/yield:

$\eta_i = -0.0254 + 0.016 \cdot Z_i - 1.86 \cdot 10^{-4}\cdot Z_i^2 + 8.3\cdot10^{-7}\cdot Z_i^3$
$\eta = \sum_i c_i \eta_i$

Goldstein et al., Scanning Electron Microscopy and X-Ray Microanalysis, 2018, p. 17.

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