Table 6.
Bandgap narrowing BGN model for log10(nBGN cm3). The five fitting parameters for a quartic polynomial fit Eq. (21) of the theoretical calculation for the equivalent conduction band electron density in n-type, zinc blende GaAs at 300 K as a function of the Fermi energy relative to the bottom of the equivalent conduction band at Γ. This quartic polynomial fit, which represents the theoretical results for Eq. (3), is valid only when −0.067 eV ≤ EF ≤ 0.286 eV. The t-ratio is the absolute value of the estimated fitting parameter |aBGNi| divided by its estimated standard deviation. The residual standard deviation is Sres = 0.0130.
| Fitting parameter | Estimated value | Estimated standard deviation | Units | t-ratio |
|---|---|---|---|---|
| aBGN0 | 17.3292 | 0.4191 × 10−2 | 4.135 × 103 | |
| aBGN1 | 13.1545 | 0.7646 × 10−1 | eV−1 | 1.72 × 102 |
| aBGN2 | −37.4789 | 1.473 | eV−2 | 25.45 |
| aBGN3 | 26.5678 | 12.86 | eV−3 | 2.067 |
| aBGN4 | 53.7760 | 29.43 | eV−4 | 1.827 |