First, state the Pauli Exclusion Principle. Carefully reproduce the energy diagram below, and use the Pauli exclusion principle to determinethe ground state configuration of potassium. Draw the electron spin states directly on your diagram, and write out the ground state configuration using the standard notation. Make sure you explain why the electrons are located where they are.

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we’ll investigate the potassium atom, which has Z = 19.

First, state the Pauli Exclusion Principle.

Carefully reproduce the energy diagram below, and use the Pauli exclusion principle to determinethe ground state configuration of potassium. Draw the electron spin states directly on your diagram, and write out the ground state configuration using the standard notation. Make sure you explain why the electrons are located where they are.

diagram attached

Suppose the highest-energy electron in the ground state is is excited to a higher level. On yourdiagram, show all possible emission transitions as arrows between energy states.

For each emission transition you drew that end up in the 4s state, calculate the wavelength of the emitted photon. What part of the electromagnetic spectrum are they in?

The lifetime of the 4p state in potassium is 20 ns. Suppose you have a sample of potassium andeach atom has been excited to the 4p state; how long would it take for 10% of the sample to decay to the ground state?

Energy (eV)
-20 eV
6s
-33 eV
-31 eV
-35 eV
-40 eV
5s
5p
4f -
4d
-75 eV
4p
-85 eV
-100 eV
4s
3d
-180 eV
3p
-250 eV
3s
-320 eV
2p
410 eV
2s
-3800 eV
1s
Transcribed Image Text:Energy (eV) -20 eV 6s -33 eV -31 eV -35 eV -40 eV 5s 5p 4f - 4d -75 eV 4p -85 eV -100 eV 4s 3d -180 eV 3p -250 eV 3s -320 eV 2p 410 eV 2s -3800 eV 1s
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