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An electron in a certain atom is in the $n=2$ quantum level. List the possible values of $\ell$ and $m_{\ell}$ that it can have.

$$\begin{array}{|c|c|c|}\hline n & \ell & m_{\ell} \\\hline 2 & 1 & -1,0,1 \\& 0 & 1 \\\hline\end{array}$$

Chemistry 101

Chapter 7

Quantum Theory and the Electronic Structure of Atoms

Electronic Structure

Carleton College

Rice University

Brown University

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.

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and this question. We're looking at an electron that's in the n equals two quantum level, and we want to know that possible l values for an impossible I'm spelled out use work for the electric. And so for your here, the rules for the quantum numbers possible values for end the principal one of number 12 and Selves now value for l depends on in and the possible values for L or zero all the way up to on minus water by and all energy is in between between shorthand notation and then the step l values depend on l about you and the M Sabella value range from negative l zero all the way took positive and again all images in between. So this case, we're starting with knowing that an equals two. So, based on this principle quantum number, we can say what are the possible l values? So we know that we're always gonna have the l value of zero. And then if we look at what the maximum value is a minus one by in this case are honest too, but to minus one is one. Okay, so that means we only have zero And once this morning's our maximum. And then for each of these allies, we have our own subset of amsa villainize. So when l equals zero, if you think about what I'm Sevele could be, right. It's a negative, Al. Although it a positive l there is no such thing as a negative zero. Right? So the only possible answer Bell value is zero from us. And if we look at Alan Cools one now, the M Sabella values again. Negative, Elwood. A positive out. So in this case, the negative l is a negative one. And then if we go up by one, we have zero, and then the maximum value is positive. L So these are the possible one of numbers that Alan and Sue Bell values associated with it. And when l equals zero, the only possible in survival value is zero. Uh, Now, just to connect that back to the electron configurations, l equals zero response. Ng s orbital and l equals one was post a few orbital and we only have one Osemele die because there's only one orbital for us and we have three grams about values is there are three more bottles. Creepy, and that's this question

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