In: Chemistry
An f orbital is an orbital for which the secondary quantum number l = 3.
There are seven f orbitals, with ml = -3, -2, -1, 0, 1, 2, and 3.
The f orbitals aren't occupied in the ground state until element 58 (cerium). The electron configuration of cerium is [Xe] 6s24f5d.
Even for elements beyond cerium, the f orbitals are deeply buried beneath the valence shell. They rarely play an important role in chemical change or bonding.
But the orbital shapes are useful in interpreting spectra. So here they are.
The yellow and blue colours show lobes with opposite amplitudes.
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The 4fy3−3x2y orbital corresponds to n = 4, l = 3, and ml = -3.
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The 4fxyz orbital corresponds to n = 4, l = 3, and ml = -2.
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The 4f5yz2–yr2 orbital corresponds to n = 4, l = 3, and ml = -1.
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The 4fz3−3zr2 orbital corresponds to n = 4, l = 3, and ml = 0.
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The 4f5xz2–xr2 orbital corresponds to n = 4, l = 3, and ml = + 1.
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The 4fzx2–zy2 orbital corresponds to n = 4, l = 3, and ml = +2.
The 4fx3−3xy2 orbital corresponds to n = 4, l = 3, and ml = +3.