The question asks us to choose the correct statements about the allotropes of carbon. Let's evaluate each statement:
This statement is correct. Graphite is known for its layered structure where each layer is composed of carbon atoms bonded together in a hexagonal lattice. The layers are held together by weak van der Waals forces which allow them to slide over each other easily, making graphite a good lubricant.
This statement is also correct. Although Buckminster fullerene (C60) has a structure resembling aromatic compounds (due to alternating single and double bonds), it does not exhibit traditional aromatic stability typical of benzene-like compounds. Its bonding is more localized, and it does not display the resonance associated with aromaticity.
This statement is incorrect. The distance between two adjacent layers in graphite is approximately 335 pm, not 141.5 pm. 141.5 pm would refer more closely to the bond length between two carbon atoms within the same layer.
This statement is incorrect. In graphite, the carbon atoms are sp2 hybridized, resulting in a planar structure for each layer. In contrast, in Buckminster fullerene, the carbon atoms are also sp2 hybridized; however, the overall geometry is a spherical shape, not planar. Despite the same hybridization, the resulting structures are quite different.
Therefore, the correct statements are I and II. Thus, the correct answer is I & II.