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C. Shockley-Read-Hall recombination (SRH)

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The Shockley-Read-Hall recombination process generally occupies the net rate of recombination in low quality materials having high density of defects.

For single-energy level traps the SRH rate of volume recombination, USRH, is expressed as:

(1.56)

Where τn0 and τp0 are the electron mean carrier lifetime and hole mean carrier lifetime, respectively, and are associated to the charge carrier thermal velocity, vth, the concentration of defect, NT, and the capture cross-sections of electron and capture cross-sections of hole of the specific defect, σn and σp as


n1 and p1 are defined as:

(1.57)

According to definition, n1 and p1 are the free-electron and free-hole concentrations when the Fermi level (EF) lies at the trap energy level (ET).

Actually, all three recombination processes deliberated here occur simultaneously.

The net recombination can be found by addition of the three rates of recombination as:

(1.58)

Perovskite Materials for Energy and Environmental Applications

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