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3f can not exist by the Aufbau principle, quantum mechanics and Hunds rules.

In level one there is only 1s

In level 2 there is 2s and 2p

In level 3 there is 3s, 3p and 3d

Only in level 4 and beyond is there an f shell.

In level 4 there is 4s, 4p, 4d and 4f. The 4f can hold up to 14 electrons.

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