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Ch.12 - Solids and Solid-State Materials

Chapter 12, Problem 67

Draw an MO energy-level diagram that shows the population of the 4s band for potassium metal.

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Hello everyone today. We have been given the following problem, which are the following corresponds to the molecular orbital diagram in the S. P. Ban of a gallium metal. So first we wanted to make sure that we are dealing with an S. P. Band and in an S. P band we have four Molecular orbital's that is one s orbital and three p orbital's for gallium, gallium is a group three a element and therefore has three valence electrons. If we look at our answer choices here, the only answer choices that have three electrons or these half arrows, half arrow represents an electron, we can get rid of answer choices A and answer choices D. Now, if we apply our general rules like huns rule and off Bose rule such as we must fill an orbital in with two or two electrons and then we move on to the next orbital. That leaves us with. Andrew choice B as the correct answer because each orbital can accompany two electrons. So we must fill them up first as part of huns rule and then we move on to the next orbital off balls rule. And with that we've answered the question overall, I hope that this helped. And until next time