Question
An electron in an atom is in the $4 F_{5 / 2}$ state. (a) Find the values of the quantum numbers $n, \ell,$ and $j$. (b) What is the magnitude of the electron's total angular momentum? (c) What are the possible values for the $z$ component of the electron's total angular momentum?
Step 1
In spectroscopic notation, this is written as $nLJ$, where $n$ is the principal quantum number, $L$ is the orbital angular momentum quantum number (in letter form), and $J$ is the total angular momentum quantum number. Show more…
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An electron in an atom has an angular momentum quantum number of $2 .$ (a) What is the magnitude of the angular momentum of this electron in terms of $\hbar ?$ (b) What are the possible values for the $z$ -components of this electron's angular momentum? (c) Draw a diagram showing possible orientations of the angular momentum vector $\overrightarrow{\mathbf{L}}$ relative to the z-axis. Indicate the angles with respect to the z-axis.
a.What are the possible values of the angular momentum of an electron in the n = 4 state? b. What are the possible values of the z-component of that angular momentum?
3. a. What are the possible values of the angular momentum of an electron in the n = 4 state? b. What are the possible values of the z-component of that angular momentum? 2. a. What are all the possible combinations of quantum numbers l, ml, and ms for an electron in the n=4 state? b. How many electrons can occupy the n=3 shell in an atom?
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