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.

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.