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Chapter 8: Q56E (page 342)
Determine the rank according to increasing wavelength of and
The ranking of the spectral lines from lowest to highest is and .
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A Simple Model: The multielectron atom is unsolvable, but simple models go a long way. Sectiongives energies and orbit radii forone-electron/hydrogenlike atoms. Let us see how useful these are by considering lithium.
(a) Treat one of lithium'selectrons as a single electron in a one-electron atom ofrole="math" localid="1659948261120" . Find the energy and orbit radius.
(b) The otherelectron being in the same spatial state. must have the same energy and radius, but we must account for the repulsion between these electrons. Assuming they are roughly one orbit diameter apart, what repulsive energy would they share, and if each claims half this energy. what would be the energies of these two electrons?
(c) Approximately what charge does lithium's lone valence electron orbit, and what radius and energy would it have?
(d) Is in reasonable to dismiss the role of theelectrons in chemical reactions?
(e) The actual energies of lithium's electrons are about(twice, of course) and. How good is the model?
(f) Why should the model's prediction for the valence electron's energy differ in the direction it does from the actual value?
Consider row 4 of the periodic table. The trend is that thesubshell fills. Then the 3d, then the 4p.
(a) Judging by adherence to and deviation from this trend, whit might be said of the energy difference between the 4sand 3drelative to that between the 3dand 4p?
(b) Is this also true of row 5?
(c) Are these observations in qualitative agreement with Figure 8.13? Explain.
What angles might the intrinsic angular momentum vector make with the z-axis for a deuteron? (See Table 8.1)
Determine the expected valence of the element with atomic number 117.
Imagine two indistinguishable particles that share an attraction. All other things being equal, would you expect their multiparticle spatial state to be symmetric, ant symmetric, or neither? Explain.
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