Which can conduct electricity the diamond or the graphite ?

Graphite because it has 'delocalised' electrons which can carry electric current,both diamond and graphite are made of carbon atoms but in diamond all the carbon atoms make four bonds with other carbon atoms meaning all possible bonds are made.ie no free electrons(delocalised) but in graphite each carbon atom bonds to only the other carbon atoms leaving one free each time forming a layer of delocalised electrons,this makes it able to carry electric current,very rare for a none metal