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Probability that the electron is found at a distance greater than r

  1. Nov 22, 2011 #1
    The problem given is to calculate the probability that the electron is found at a distance greater than r=2a0 from the center of the hydrogen atom in its ground state.

    I don't understand what the problem is asking. I dont understand what form of the wavefunction I should use.

    I know that to calculate the probability is P(r)= abs value (ψ(r))^2 or P(r)= ψ*(r).ψ(r)

    but what wave function should i use in this problem? should i use e^(r/a0)/sqrt(pi.a0)?

    i know that at the ground state n=1 in which makes n,l=0
     
  2. jcsd
  3. Nov 22, 2011 #2
    Just take the ground state wavefunction and integrate the square from 2a0 to infinity, [itex] P(r>2a_0) =\int_{2a_0}^\infty \psi^*(r) \psi (r) dr[/itex]
     
  4. Dec 19, 2011 #3
    Thank you!
     
  5. Nov 19, 2013 #4
    I have a question, in order to solve the same problem but if we use the wave function of the Radial functions of the Hydrogen atom is $$R10= 2/(sqrt(a0^3))*e^(-r/a0)$$ ?
     
    Last edited: Nov 19, 2013
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