New carbon allotropes in sp + sp³ bonding networks consisting of C₈ cubes

We identify using ab initio calculations new types of three-dimensional carbon allotrope constructed by inserting acetylenic or diacetylenic bonds into a body-centered cubic C₈ lattice. The resulting sp + sp³-hybridized cubane-yne and cubane-diyne structures consisting of C₈ cubes can be characterized as a cubic crystalline modification of linear carbon chains, but energetically more favorable than the simplest linear carbyne chain and the cubic tetrahedral diamond and yne-diamond consisting of C₄ tetrahedrons. Electronic band calculations indicate that these new carbon allotropes are semiconductors with an indirect band gap of 3.08 eV for cubane-yne and 2.53 eV for cubane-diyne. The present results establish new types of carbon phases consisting of C₈ cubes and offer insights into their outstanding structural and electronic properties.