In a one electron system, the probability of finding the electron within a shell of thickness år at a radius of r from the nucleus is given by the radial distribution function, P(r) = r²R?(r). %3D An electron in a 1s hydrogen orbital has the radial wavefunction R(r) given by 3/2 R(r) = 2 ao e-rlao where ao is the Bohr radius (52.9 pm). Calculate the probability of finding the electron in a sphere of radius 1.5ao centered at the nucleus. probability:
In a one electron system, the probability of finding the electron within a shell of thickness år at a radius of r from the nucleus is given by the radial distribution function, P(r) = r²R?(r). %3D An electron in a 1s hydrogen orbital has the radial wavefunction R(r) given by 3/2 R(r) = 2 ao e-rlao where ao is the Bohr radius (52.9 pm). Calculate the probability of finding the electron in a sphere of radius 1.5ao centered at the nucleus. probability:
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Transcribed Image Text:In a one electron system, the probability of finding the electron within a shell of thickness år at a radius of r from the nucleus is
given by the radial distribution function, P(r) =
= PR²(r).
An electron in a 1s hydrogen orbital has the radial wavefunction R(r) given by
3/2
1
R(r) = 2
ao
-rlao
e
where ao is the Bohr radius (52.9 pm).
Calculate the probability of finding the electron in a sphere of radius 1.5ao centered at the nucleus.
probability:
%
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