Dopants at adjacent sites. Probability. Solid State Physics.

  1. Hi,

    Could someone explain how to calculate the probability that two substitutional dopants will reside in adjacent lattice sites.

    For example, given a dopant concentration of 5% and a crystal structure in which each lattice site/atom is coordinated to 8 others what is the probability of finding two dopant atoms residing in adjacent lattice sites?

    Thanks for any insight!
     
  2. jcsd
  3. Claude Bile

    Claude Bile 1,479
    Science Advisor

    Well, the probability of a dopant being isolated would be (1-0.05)^8 (using your example). I'm sure you can figure out the rest.

    Claude.
     
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