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azimuthal quantum number?

1. What is the azimuthal quantum number l, for this orbital? (Integer answer)http://i843.photobucket.com/albums/zz354/Crusheroo…2. Compare the orbital from 1 to the orbital shown here in size, shape, and orientation. Which quantum number(s) would be different for these two orbitals?http://i843.photobucket.com/albums/zz354/Crusheroo…None of this is in my textbook, so Any help is greatly appreciated! Thanks

2 Answers

J
Jakob Littel

Feb 20, 2025

1. its dxy orbital …one of the five orbitals of d-subshell so l = 22.its d(x^2-y^2) orbital …..difference is :- The dxy orbital points its lobes between the x and y axes. The d(x^2-y^2) orbital points its lobes directly along the x and y axes.feel free to ask any questions... Show More
J
Jakob Littel

Feb 20, 2025

Quantum numbers are used to label the state of a quantum procedure. On your case, it’s concerning the state of an electron round a nucleus. 4 quantum numbers are used. Most important quantum quantity, n = 1, 2, 3, four, … ================================ Enumerates the shells in which the electron can go. Shell 1 is closest to the nucleus, and has room for 2 electrons. Shell 2 has room for eight electrons. In general, shell n has room for two * n^2 electrons. Azimuthal quantum quantity, L = 0, 1, …, n =============================== shows absolutely the worth of the angular momentum. This defines the specific “orbitals” within a shell. For illustration, in shell 1 we have now L = 0: s-orbital, two electrons L = 1: p-orbital, six electrons L = 2: d-orbital, ten electrons most likely, orbital L can have 4n – 2 electrons. Magnetic quantum quantity m = -L, …, zero, …, L ================================= indicates the magnitude of the angular momentum of an electron in a constant course (regularly, along the z-axis). For example, the 2p orbital (n = 2, L = 1) can condominium three pairs of electrons, with m = -1, 0 or 1. They are customarily written as 2px, 2py, 2pz. Spin quantum number s = -half of, +1/2 =========================== Electron spin is either “up” or “down”. For each blend n, L, m there are two viable spin states.... Show More

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