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Q. Suppose that the electron spin quantum number could have three possible values which of the following atomic numbers would not correspond to a noble gas?

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Solution:

If an electron can have three values of spin quantum numbers,, an orbital could occupy a maximum of 3 electrons rather than 2 under present conventions Hence, in that case a period could accommodate $ \frac{3}{2} $ times the element present now. Hence, the atomic number of noble gases under this convention would be 3, 15, 27, 54, etc.