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The number of electrons excited to the conduction band per cubic centimeter in a semiconductor can be estimated from the following equation: ne = (4.8 × 10'5 cm¯³ K¯¥2) T/2 e¯E{2RT) K¯32) T³² e¯E«M2RT) п where T is the temperature in kelvins and Eg the band gap in joules per mole. The band gap of diamond at 300 K is 8.7 × 10-19 J. How many electrons are thermally excited to the conduction band at this temperature in a 1.00-cm diamond crystal?

The number of electrons excited to the conduction band per cubic centimeter in a semiconductor can be estimated from the following equation: ne = (4.8 × 10'5 cm¯³ K¯¥2) T/2 e¯E{2RT) K¯32) T³² e¯E«M2RT) п where T is the temperature in kelvins and Eg the band gap in joules per mole. The band gap of diamond at 300 K is 8.7 × 10-19 J. How many electrons are thermally excited to the conduction band at this temperature in a 1.00-cm diamond crystal?

Chemistry for Engineering Students
Chemistry for Engineering Students
4th Edition
ISBN:9781337398909
Author:Lawrence S. Brown, Tom Holme
Publisher:Lawrence S. Brown, Tom Holme
Chapter8: Molecules And Materials
Section: Chapter Questions
Problem 8.30PAE
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The number of electrons excited to the conduction band per cubic centimeter in a semiconductor can be estimated from the following equation: ne = (4.8 × 10'5 cm¯³ K¯¥2) T/2 e¯E{2RT) K¯32) T³² e¯E«M2RT) п
Transcribed Image Text:The number of electrons excited to the conduction band per cubic centimeter in a semiconductor can be estimated from the following equation: ne = (4.8 × 10'5 cm¯³ K¯¥2) T/2 e¯E{2RT) K¯32) T³² e¯E«M2RT) п
where T is the temperature in kelvins and Eg the band gap in joules per mole. The band gap of diamond at 300 K is 8.7 × 10-19 J. How many electrons are thermally excited to the conduction band at this temperature in a 1.00-cm diamond crystal?
Transcribed Image Text:where T is the temperature in kelvins and Eg the band gap in joules per mole. The band gap of diamond at 300 K is 8.7 × 10-19 J. How many electrons are thermally excited to the conduction band at this temperature in a 1.00-cm diamond crystal?
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