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Dopants at adjacent sites. Probability. Solid State Physics.

  1. Dec 6, 2013 #1

    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. Dec 7, 2013 #2

    Claude Bile

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    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.

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