Why does diamond conduct heat well but electricity poorly?

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Diamond’s unique thermal and electrical properties are a direct consequence of its rigid, three-dimensional crystal structure, in which each carbon atom is covalently bonded to four others in a stable tetrahedral configuration.12

Electrical Conductivity

Diamond is an electrical insulator because all of its valence electrons are localized and tightly bound within these strong covalent bonds. Because there are no free or mobile electrons available to carry a charge, diamond cannot conduct electricity.2

Thermal Conductivity

Conversely, diamond is an excellent conductor of heat due to the rigidity of its bonding structure. In condensed-matter physics, heat is transported through solids via phonons—units of vibrational energy arising from oscillating atoms. Because the atoms in diamond are bound into a highly rigid, repeating lattice, these mechanical vibrations travel efficiently throughout the crystal, allowing diamond to conduct heat exceptionally well.34