A 3D network lattice of covalently bonded carbon atoms.
Diamond is a 3D network lattice of covalently bonded carbon atoms, far right.
Graphite, another allotrope of carbon, is a 2D network lattice of covalently bonded carbon atoms, left.
A 3D network lattice of carbon ions held together by ionic bonds. Does not exist, as carbon does not form ions and elements cannot be ionic, only compounds can.
A 3D network lattice of carbon ions in a sea of mobile valence electrons held together by metallic bonds. This description is more metallic and similar to the description of graphite, which can conduct electricity, but not diamond.
A 3D network lattice of carbon atoms held together by hydrogen bonding and dispersion forces. Hydrogen bonding and dispersion forces are intermolecular forces, although dispersion forces are everywhere, but very weak.