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Give the values of the four quantum numbers of an electron in the following orbitals: (a) $3 s,$ (b) $4 p$(c) $3 d$.

$$\begin{array}{|c|c|c|c|c|}\hline \text { Orbital } & \begin{array}{c}\text { Principal Quantum } \\\text { number (n) }\end{array} & \begin{array}{c}\text { Angular momentum } \\\text { quantum number (I) }\end{array} & \begin{array}{c}\text { Magnetic quantum } \\\text { number (m, ) }\end{array} & \begin{array}{c}\text { Spin quantum } \\\text { number (m, ) }\end{array} \\\hline 3 \mathrm{s} &3 & 0 & 0 & +1 / 5 \text { or }-1 / 5 \\\hline 4 \mathrm{p} & 4 & 1 & -1 \text { or } 0 \text { or } 1 & +1 / 5 \text { or }-1 / 5 \\\hline 3 \mathrm{d} & 3 & 2 & -2 \text { or }-1 \text { or } 0 \text { or } 1 \text { or } 2 & +1 / 5 \text { or }-1 / 5 \\\hline\end{array}$$

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Rice University

University of Maryland - University College

University of Toronto

Lectures

04:49

In chemistry and physics, electronic structure is the way the electrons of an atom are arranged in relationship to the nucleus. It is determined by the subshells the electrons are bound to, which are in turn determined by the principal quantum number ("n") and azimuthal quantum number ("l"). The electrons within an atom are attracted to the protons in the nucleus of that atom. The number of electrons bound to the nucleus is equal to the number of protons in the nucleus, which is called the atomic number ("Z"). The electrons are attracted to the nucleus by this mutual attraction and are bound to the nucleus. The electrons within an atom are attracted to each other and this attraction determines the electron configuration. The electron configuration is described by the term symbol, which is the letter used to identify each subshell.

16:45

In physics, the wave–particle duality is the concept that every object or process, no matter how large or how small, behaves as both a wave and a particle. The wave–particle duality is one of the central concepts in quantum mechanics.

02:52

Give the values of the qua…

01:42

State the maximum number o…

Okay, so we need to figure out the quantum numbers, All four of them for three specific values. So we have three s, we have four p, and we have three d. So I'm going to just set up a little table here where I will say this is an It was the primary quantum number, which was l, which is angular momentum. Quantum number. It s a bell, which is the magnetic residence card number and M sub s, which is the magnetic spin one of number. Okay, so n n is the actual number, so n would be three for free s would be four for four peaks and with the three for three D. Okay, Now the shape has to do with the annular mo mentum number. So l so s if the shape is as we have the s orbital, then we have Then we know that that means l has to be zero because yes is equal to l being zero. Now, if you have a P, that means l it will be one, because when el is one, we have a P orbital. When we have a D. Orbital means Ellis to, because when Ellis to We have a D or a bill. We know. No, that for M Seville is from negative l two l. So in this case, negative 0 to 0 is just euro. In the case of negative 1 to 1, you can have negative one zero one. And from negative to to the native to negative one zero one to now this, uh, magnetic spin electron that might explain quantum number. Is there going to be positive 1/2 or a negative 1/2? We actually don't know enough when they give us three s that is saying that it is either one of these two electrons. They're not specifying which one. So we could say this one or this one, and neither would be wrong. And that's to be the same for all three of the options or all three of the problems given now if they specified. And they said three s m pregnancies, M sub s equals two positive 1/2. Then we would only be able to put positive 1/2. But since they don't, we have an option to pick either one of these. So we say both are possible now, obviously, for in Ellen Amsa Bell. There's only one right one right answer. But when we get to m sub s, there are two possible correct answers, so we list both.

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