title: The nature of one-dimensional carbon: polyynic versus cumulenic.
abstract: A question of both fundamental as well as practical importance is the nature of one-dimensional carbon, in particular whether a one-dimensional carbon allotrope is polyynic or cumulenic, that is, whether bond-length alternation occurs or not. By combining the concept of aromaticity and antiaromaticity with the rule of Peierls distortion, the occurrence and magnitude of bond-length alternation in carbon chains with periodic boundary conditions and corresponding carbon rings as a function of the chain or ring length can be explained. The electronic properties of one-dimensional carbon depend crucially on the bond-length alternation. Whereas it is generally accepted that carbon chains in the limit of infinite length have a polyynic structure at the minimum of the potential energy surface with bond-length alternation, we show here that zero-point vibrations lead to an effective equalization of all carbon-carbon bond lengths and thus to a cumulenic structure.
authors: Lehrstuhl für Theoretische Chemie, Universität Erlangen-Nürnberg and Interdisciplinary Center of Molecular Materials (ICMM), Egerlandstr. 3, D-91058 Erlangen (Germany). christian.neiss@fau.de.
authors: Christian
authors: C
authors: Neiss
authors: Egor
authors: E
authors: Trushin
authors: Andreas
authors: A
authors: Görling
keywords: bond-length alternation; carbynes; cumulenes; density functional calculations; polyynes