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the crystalline allot-ropes of carbon are Diamond and Graphite their differences are,

Diamond

1- every carbon is sp3 hybridized and tetrahedraly attached to four other carbon atoms at the angles of 109.5, 2- No free electrons, so nonconductor of electricity, 3-Hardest natural material due to absence of any cleavage axis.

Graphite

1- every carbon is sp2 hybridized and trigonaly attached to three other carbon atoms at the angles of 120, 2- one free electron (weakly held through pi bonding) per atom so is conductor of electricity, 3- soft material due to presence of cleavage axis along sheet like structure.

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