Chapter 8: Q50E (page 342)
Determine the expected valence of the element with atomic number 117.
Short Answer
The expected valence of the element with atomic numberis or .
Chapter 8: Q50E (page 342)
Determine the expected valence of the element with atomic number 117.
The expected valence of the element with atomic numberis or .
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Get started for freeConsider potassium. As a rough approximation assume that each of itselectron s orbits 19 pro. tons and half an electron-that is, on average, half its fellowelectron. Assume that each of itselectrons orbits 19 protons, two Is electrons. and half of the seven otherelectrons. Continue the process, assuming that electrons at eachorbit a correspondingly reduced positive charge. (At each, an electron also orbits some of the electron clouds of higher. but we ignore this in our rough approximation.)
(a) Calculate in terms ofthe orbit radii of hydrogenlike atoms of these effective Z,
(b) The radius of potassium is often quoted at around. In view of this, are yourthroughradii reasonable?
(c) About how many more protons would have to be "unscreened" to theelectron to agree with the quoted radius of potassium? Considering the shape of its orbit, should potassium'selectron orbit entirely outside all the lower-electrons?
Question: Solving (or attempting to solve!) a 4-electron problem is not twice as hard as solving a 2-electrons problem. Would you guess it to be more or less than twice as hard? Why?
The Slater determinant is introduced in Exercise 42. Show that if states and of the infinite well are occupied and both spins are up, the Slater determinant yields the antisymmetric multiparticle state:
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.
Question: Early on, the lanthanides were found to be quite uncooperative when attempts were made to chemically separate them from one another. One reason can be seen in Figure 8.16. Explain.
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