The wave function of an electron in a hydrogen - like atom is (r) = Cea where a = ao/Z with a being the Bohr radius and Z the atomic number. The nuclear charge is Ze and the atom contains only one electron. a) Compute the normalization constant. b) If the nuclear numbers are A = 173 and Z= 70, what is the probability that the electron is in the nucleus of radius R? Assume R = 1.2X4¹/³ fm << a. c) What is the probability that the electron is in the region x,y,z > 0.

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The wave function of an electron in a hydrogen - like atom is (r) = Cea where a = ao/Z with a
being the Bohr radius and Z the atomic number. The nuclear charge is Ze and the atom contains only
one electron.
a) Compute the normalization constant.
b) If the nuclear numbers are A = 173 and Z= 70, what is the probability that the electron is in the
nucleus of radius R? Assume R = 1.2x4¹/³ fm <<< a.
c) What is the probability that the electron is in the region x,y,z > 0.
Transcribed Image Text:Question 7 The wave function of an electron in a hydrogen - like atom is (r) = Cea where a = ao/Z with a being the Bohr radius and Z the atomic number. The nuclear charge is Ze and the atom contains only one electron. a) Compute the normalization constant. b) If the nuclear numbers are A = 173 and Z= 70, what is the probability that the electron is in the nucleus of radius R? Assume R = 1.2x4¹/³ fm <<< a. c) What is the probability that the electron is in the region x,y,z > 0.
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