I get this: The more alkyl substituents a radical carbon atom possesses, the more stabilized it becomes from hyperconjugation.
But I don't get the second paragraph: The interaction of the double-occupied C-H σ bonding orbital with the single-occupied, non-bonding p orbital of the radical carbon atom is comparable to the stabilization by hyperconjugation in carbenium ions. However, they differ greatly in one important factor. The stabilization of carbenium ions, for example, is the result of the overlapping of a double-occupied C-H bonding orbital with an unoccupied, non-bonding 2p orbital. In radicals, on the other hand, this stabilization is obtained by the overlapping of a C-H bonding orbital with a single-occupied, non-bonding 2p orbital.
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