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The two systems are actually very similar. For example, the p level has the capacity to hold 6 total electrons within it, and more specifically two per subset. There are three subsets within the p orbital, bringing the total amount of electrons tat can fit up to six which is what we would expect. The three subsets are titled x, y and z to be even more specific than the generalized 2p orbital for example.
You don't necessarily have to think of the p-orbital as XYZ, it's just a label for each of the three orbital subsets. You can simply call them subset 1, subset 2, and subset 3 if you want. It's the same as you learned in high school.
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