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(i) Calculate the exciton Rydberg energy and Bohr radius for GaAs, * = which has r = 12.8, m = 0.067mo and m 0.2mo.

(i) Calculate the exciton Rydberg energy and Bohr radius for GaAs, * = which has r = 12.8, m = 0.067mo and m 0.2mo.

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Example 4.1 (i) Calculate the exciton Rydberg energy and Bohr radius for GaAs, which has r= 12.8, m = 0.067mo and m = 0.2mo. (ii) GaAs has a cubic crystal structure with a unit cell size of 0.56 nm. Estimate the number of unit cells contained within the orbit of the n = 1 exciton. Hence justify the validity of assuming that the medium can be treated as a uniform dielectric in deriving eqns 4.1 and 4.2. (iii) Estimate the highest temperature at which it will be possible to observe stable excitons in GaAs.
Transcribed Image Text:Example 4.1 (i) Calculate the exciton Rydberg energy and Bohr radius for GaAs, which has r= 12.8, m = 0.067mo and m = 0.2mo. (ii) GaAs has a cubic crystal structure with a unit cell size of 0.56 nm. Estimate the number of unit cells contained within the orbit of the n = 1 exciton. Hence justify the validity of assuming that the medium can be treated as a uniform dielectric in deriving eqns 4.1 and 4.2. (iii) Estimate the highest temperature at which it will be possible to observe stable excitons in GaAs.
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