The space charge limited current in organic semiconductor can be expressed by the relation:
For a trap-free solid, the corresponding SCL current density is known as the Mott–Gurney (MG) law, given by
JMG =9/8 epsilon0 epsilonrl mu V^2/D^3 ;
where epsilonr is the relative permittivity of the solid, and mu is the
electron mobility.
How is the current limited in metal organic semiconductor metal MOSM diode? - ResearchGate. Available from: https://www.researchgate.net/post/How_is_the_current_limited_in_metal_organic_semiconductor_metal_MOSM_diode/1 [accessed Jan 31, 2017].,
According to this relation, the current density is proportional to the mobility. By measuring this current , the voltage, the thickness of the material and its dielectric constant one can calculate the mobility.
A common practice to get more accurate value one plots J versus V^2 , which is expected to be a straight line whose slope is equal to 9/8 epsilon mu/ d^3.Knowing epsilon and d one can get mu.
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