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Mathematics, 24.04.2020 04:31 janessa0804

In a one electron system, the probability of finding the electron within a shell of thickness rδr at a radius of rr from the nucleus is given by the radial distribution function, P(r)=r2R2(r)P(r)=r2R2(r) . An electron in a 1s1s hydrogen orbital has the radial wavefunction R(r)R(r) given by R(r)=2(1a0)3/2e−r/a0 R(r)=2(1a0)3/2e−r/a0 where a0a0 is the Bohr radius (52.9 pm)(52.9 pm) .

Calculate the probability of finding the electron in a sphere of radius 1.1a01.1a0 centered at the nucleus.

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