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Ch.5 - Periodicity & Electronic Structure of Atoms

Chapter 5, Problem 111b

Given the subshells 1s, 2s, 2p, 3s, 3p and 3d, identify those that meet the following descriptions. (b) Can have ml = -1

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Hello everyone today. We have the following problem among the following sub shells here, which can have a magnetic quantum number or M sub L. Of equaling two. So our magnetic quantum number M sub L. Is essentially a range of values that go from negative L. two positive l. And so what is L. Well L. Is going to be our angular momentum quantum number otherwise abbreviated also known as El. and so this is essentially going to be in -1 and are in is going to come from our principal quantum number or abbreviated as in which is just essentially going to be our energy levels that are within our orbital's. And so this can be essentially any positive integer starting from one to infinity. So from our magnetic quantum number it was noted that it was M equals or M sub L is equal to two. And so essentially we have to go back to what our angular momentum number would be. And so this is going to be If our magnetic quality in sub l equals two Then our l must be either two or and we'll see why in a second. If L is equal to two then R M sub L is going to be negative two negative positive one positive too. If our L equals three. M sub L is going to be negative three negative two negative 10 positive one positive to positive three. Within these. The only answer choice that aligns with that is going to be answer choice D. And so we have to ask ourselves why or what does this mean? So we said that our M. So we said that our L. Is two or three and that L. Is also equal to n minus one. So if this is the case here, then when L equals two, then are in must equal three, And when our L equals three then our in must be four. And so of these answer choices. D. Is the only one that lines up with that train of thought. And so with that we've answered our question overall. I hope that this helped and until next time.