The wave function for the 1s state of an electron in the hydrogen atom is 1s() = 1 a3 0

Chapter 15, Problem 56

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The wave function for the 1s state of an electron in the hydrogen atom is 1s() = 1 a3 0 e/a0 where a0 is the Bohr radius. The probability of finding the electron in a region W of R3 is equal to W p(x, y, z) dV where, in spherical coordinates, p() = |1s()| 2 Use integration in spherical coordinates to show that the probability of finding the electron at a distance greater than the Bohr radius is equal to 5/e2 0.677. (The Bohr radius is a0 = 5.3 1011 m, but this value is not needed.) 5

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