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PROBLEM 1. The Gross Structure of One-Electron Systems [11 pnts] Consider a 6f electron. a) Calculate the polar angle of the angular momentum vector of a single 6f electron of which m=-2. [2 pnts] b) Sketch the radial part of the 6f wave function (rR6f). [2 pnts] c) Consider all radial wave functions of hydrogen that have a similar shape as the 6f radial wave function. Which one of these is strongest bound and what is its binding energy. [3 pnt] d) What is the binding energy in of a 6f electron in hydrogen-like Ar, i.e. Ar17+(6f). [2 pnt] e) What is the difference between the radial part of the 6f wave function of H and the one of Ar17+, also indicate the reason for this difference [2 pnt]

          PROBLEM 1. The Gross Structure of One-Electron Systems [11 pnts]
Consider a 6f electron.
a) Calculate the polar angle of the angular momentum vector of a single 6f electron of
which m=-2. [2 pnts]
b) Sketch the radial part of the 6f wave function (rR<sub>6f</sub>). [2 pnts]
c) Consider all radial wave functions of hydrogen that have a similar shape as the 6f radial
wave function. Which one of these is strongest bound and what is its binding energy.
[3 pnt]
d) What is the binding energy in of a 6f electron in hydrogen-like Ar, i.e. Ar<sup>17+</sup>(6f). [2 pnt]
e) What is the difference between the radial part of the 6f wave function of H and the one
of Ar<sup>17+</sup>, also indicate the reason for this difference [2 pnt]

PROBLEM 1. The Gross Structure of One-Electron Systems [11 pnts]
Consider a 6f electron.
a) Calculate the polar angle of the angular momentum vector of a single 6f electron of
which m=-2. [2 pnts]
b) Sketch the radial part of the 6f wave function (rR<sub>6f</sub>). [2 pnts]
c) Consider all radial wave functions of hydrogen that have a similar shape as the 6f radial
wave function. Which one of these is strongest bound and what is its binding energy.
[3 pnt]
d) What is the binding energy in of a 6f electron in hydrogen-like Ar, i.e. Ar<sup>17+</sup>(6f). [2 pnt]
e) What is the difference between the radial part of the 6f wave function of H and the one
of Ar<sup>17+</sup>, also indicate the reason for this difference [2 pnt]

Added by Kenneth A.

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