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Difference between revisions of "stokes-einstein relation"
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{{title|Stokes-Einstein Relation}} | {{title|Stokes-Einstein Relation}} | ||
| + | '''Stokes-Einstein Relation''' is a relation between the [[diffusion coefficient]] of [[charge carriers]] and [[carrier mobility]]. | ||
| + | |||
| + | == Overview == | ||
| + | The general form of the equation is | ||
| + | |||
| + | :<math>D = \mu k_B T</math> | ||
| + | |||
| + | Where | ||
| + | * <math>D</math> is the diffusion constant | ||
| + | * <math>\mu</math> is the [[carrier mobility]] | ||
| + | * <math>k_B</math> is [[Boltzmann's constant]] | ||
| + | * <math>T</math> is the temperature | ||
| + | |||
| + | For diffusion of carriers the special form is more appropriate. | ||
| + | |||
| + | :<math>D = \frac{\mu k_B T}{q}</math> | ||
| + | |||
| + | Where <math>q</math> is the [[elementary charge]]. | ||
| + | |||
| + | Then for semiconductors | ||
| + | |||
| + | :<math>\frac{D_n}{\mu_n} = \frac{k_B T}{q} = \frac{D_p}{\mu_p}</math> | ||
| + | |||
| + | == See also == | ||
| + | * [[Carrier mobility]] | ||
| + | * [[Diffusion current]] | ||
| + | * [[Drift current]] | ||
Latest revision as of 18:17, 23 November 2017
Stokes-Einstein Relation is a relation between the diffusion coefficient of charge carriers and carrier mobility.
Overview[edit]
The general form of the equation is
Where
- is the diffusion constant
- is the carrier mobility
- is Boltzmann's constant
- is the temperature
For diffusion of carriers the special form is more appropriate.
Where is the elementary charge.
Then for semiconductors