Problem

Estimate the temperature at which GaAs has an electrical conductivity of 1.6 × 10–3 (Ω•m)–...

Estimate the temperature at which GaAs has an electrical conductivity of 1.6 × 10–3 (Ω•m)–1, assuming the temperature dependence for σ of Equation 18.36. The data shown in Table 18.3 may prove helpful.

Table 18.3 Band Gap Energies, Electron and Hole Mobilities, and Intrinsic Electrical Conductivities at Room Temperature for Semiconducting Materials

Material	Band Gap (eV)	Electron Mobility (m2/V•s)	Hole Mobility (m2/V•s)	Electrical Conductivity (Intrinsic)(Ω•m)–1
		Elemental
Ge	0.67	0.39	0.19	2.2
Si	1.11	0.145	0.050	3.4 × 10–4
		III–V Compounds
AlP	2.42	0.006	0.045	—
AlSb	1.58	0.02	0.042	—
GaAs	1.42	0.80	0.04	3 × 10–7
GaP	2.26	0.011	0.0075	—
InP	1.35	0.460	0.015	2.5 × 10–6
InSb	0.17	8.00	0.125	2 × 104
		II–VI Compounds
CdS	2.40	0.040	0.005	—
CdTe	1.56	0.105	0.010	—
ZnS	3.66	0.060	—	—
ZnTe	2.4	0.053	0.010	—