Problem

Estimate the temperature at which GaAs has an electrical conductivity of 3.7 × 10–3 (Ω • m...

Estimate the temperature at which GaAs has an electrical conductivity of 3.7 × 10–3 (Ω • m)–1, assuming the temperature dependence for σ of Equation 12.36. The data shown in Table 12.3 may prove helpful.

(12.36)

Table 12.3 Band Gap Energies, Electron and Hole Mobilities, and Intrinsic Electrical Conductivities at Room Temperature for Semiconducting Materials

Material	Band Gap eV)	Electrical Conductivity [(Ω m)–1]	Electron Mobility (m2/V s)	Hole Mobility (m2/V s)
Elemental
Si	1.11	4 × 10–4	0.14	0.05
Ge	0.67	2.2	0.38	0.18
III–V Compounds
GaP	2.25	—	0.03	0.015
GaAs	1.42	10–6	0.85	0.04
InSb	0.17	2 × 104	7.7	0.07
II–VI Compounds
CdS	2.40	—	0.03	—
ZnTe	2.26	—	0.03	0.01