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Table 1 Scattering factors for electrons in forward direction for relevant atoms and corresponding ions in CIGS solar cells according to Weickenmeier et al., Rez et al. and Peng et al. [33–35]

From: Assessment of off-axis and in-line electron holography for measurement of potential variations in Cu(In,Ga)Se2 thin-film solar cells

Element

Atomic scattering factor (nm)

Ionic scattering factor (nm)

Ref. [34]

Ref. [33]

Ref. [35]

Ref. [33]

Cu/Cu\(^{+}\)

0.55

0.63

0.33

0.45**

In/In\(^{3+}\)

1.03

1.06

0.46

0.29*

Ga/Ga\(^{3+}\)

0.70

0.71

0.22

0.18*

Se/Se\(^{2-}\)

0.72

0.73

0.95*

1.02*

Cd/Cd\(^{2+}\)

0.92

0.92

0.51

0.51

S/S\(^{2-}\)

0.52

0.52

0.65*

0.71*

Zn/Zn\(^{2+}\)

0.60

0.60

0.26

0.26

O/O\(^{2-}\)

0.20

0.20

0.35

0.41

Compound

MIP [V]

MIP [V]

Ref. [34]

Ref. [33]

Ref. [35]

Ref. [33]

CuInSe\(_{2}\)

14.8

15.5

13.3

13.7

CuGaSe\(_{2}\)

14.9

15.5

13.6

14.8

CIGS\(_{\mathrm{GGI=0.36}}\)

14.8

15.5

13.4

14.0

CdS

13.5

13.6

11.0

11.6

ZnO

16.1

16.2

12.2

13.5

  1. Furthermore, the MIP values for some relevant compounds are listed below under the assumption of either fully covalent or fully ionic bonds. The scattering factors marked by * in the table show estimated values, as these values were not recorded in the corresponding literature source. The values of the scattering factors f (Se\(^{2-}\)) and f(S\(^{2-}\)) were extrapolated from the reported value f(O\(^{2-}\)) assuming that the scattering factors increase linearly by a factor \(I_\mathrm{O}^{{2-}}\) with increasing period number of the considered group in the periodic table. The factor \(I_\mathrm{O}^{{2-}}\)was calculated as \(I_\mathrm{O}^{{2-}}\) = \(I_\mathrm{O}^{{2-}}\)(I\(_{\mathrm{F}^{-}}/I_{\mathrm{F}})\) whereas the linear increase factor \(I_{O}\) was calculated based on the values f(O), f(S), and f(Se). The linear increase factor \(I_{\mathrm{F}}\) was calculated based on the values f(F), f(Cl), f(Br), and f(I) and the linear increase factor \(I_{\mathrm{F}^{-}}\) was calculated based on the values f(F\(^{-}\)), f(Cl\(^{-}\)), f(Br\(^{-}\)), and f(I\(^{-}\)). The values of the scattering factors f(Ga\(^{3+}\)) and f(In\(^{3+}\)) were extrapolated likewise based on the reported values f(Al\(^{3+}\)), f(Al), f(Ga), f(In), f(Mg), f(Mg\(^{2+}\)), f(Ca), f(Ca\(^{2+}\)), f(Sr), and f(Sr\(^{2+}\)). The value f(Cu\(^{+}\)) (marked by (**)) is approximated as the average of f(Cu\(^{2+}\) ) and f(Cu)