Explain the bonding and thus the properties of a carbon allotrope

Diamond- Each carbon atom is bonded to four other carbon atoms with strong covalent bonds in a tetrahedral structure (with bond angles of 104.9 degrees). As all four valence electrons are used for bonding, no electrons remain to carry a charge and so diamond cannot conduct electricity and is a very poor conductor of heat.
There are other forms such as graphite and buckminsterfullerenes that have their unique chemical and physical properties and uses.