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Ch.12 - Solids and Solid-State Materials

Chapter 12, Problem 6

The following diagrams represent the electron population of the composite s–d band for three metals—Ag, Mo, and Y:

Which diagram corresponds to which metal? (LO 12.7) (a) Ag = 3, Mo = 1, Y = 2 (b) Ag = 2, Mo = 1, Y = 3 (c) Ag = 2, Mo = 3, Y = 1 (d) Ag = 1, Mo = 2, Y = 3

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Hello everyone today. We have the following problem. The image below shows the electron distribution in the composite SDI band of an unknown metal identified the most likely identity of the metal. So first thing we wanna do is we want to assume that the S. D. Band completely overlaps. And if it can the S. D. Band can accommodate According to this image, 12 valence electrons. This diagram however accommodates only 2468 10 valence electrons. So this diagram Displays only 10 of those valence electrons. And so we essentially have to find which of these metals has 10 valence electrons. So if we have zirconium here, if you look at the electron configuration of that, the ground or the noble gas configuration, we look at the noble gas that's directly before zirconium which is krypton. And then we have 4 D2, five S two. And we essentially just add up the exponents to give us the valence electrons. So in this case for zirconium we have four valence electrons. So a cannot bear an answer. If you look at B chromium, we look at the noble gas before that which is are gone. And then we fill out the rest of this electron configuration as present. So that's five D three D 54 S one And the exponents. We get six valence electrons still not 10. So B is incorrect. If you look at sea palladium, we look at the noble gas configuration which has crept on and then filling out the rest of this electron configuration, we have four D. 85 S. Two Counting up our valence electrons. We get 10 valence electrons, which is actually our answer. So our answer is going to be C palladium. And with that we've answered our question overall. I hope this helped, and until next time.
Related Practice
Textbook Question
Diffraction of X rays with l = 131.5 pm occurred at an angle of 25.5 degrees by a crystal of aluminum. Assuming first-order diffraction, what is the interplanar spacing in aluminum? (LO 12.2) (a) 76.4 pm (b) 183.1 pm (c) 305.5 pm (d) 152.7 pm
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Textbook Question
Niobium oxide crystallizes in the following cubic unit cell:

What is the formula of niobium oxide, and what is the oxidation state of niobium? (LO 12.5) (a) NbO, Nb = +2 (b) Nb2O, Nb = +2 (c) NbO2, Nb = +4 (d) Nb2O3, Nb = +3
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Textbook Question
Examine diagrams for the electron population of the composite s–d band for three metals in question 6. Which metal has the highest melting point? (LO 12.7) (a) Metal 1 (b) Metal 2 (c) Metal 3

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Textbook Question
The following diagrams represent the electron population of molecular orbitals for different substances. What diagram corresponds to magnesium oxide, germanium, and tin? (LO 12.8)

(a) Diagram 1 = tin, diagram 2 = magnesium oxide, diagram 3 = germanium (b) Diagram 1 = germanium, diagram 2 = magnesium oxide, diagram 3 = tin (c) Diagram 1 = germanium, diagram 2 = tin, diagram 3 = magnesium oxide (d) Diagram 1 = magnesium oxide, diagram 2 = tin, diagram 3 = germanium
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Textbook Question
The molecular orbital diagram of a doped semiconductor is shown below. If the semiconductor is silicon, does the diagram represent n-type or p-type doping and which of the following elements could be dopant? (LO 12.9)

(a) n-type, As (b) n-type, Ga (c) p-type, As (d) p-type, Ga
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