Fibonaccitallene

Fibonaccitallene is a term used in theoretical chemistry to describe a hypothetical class of molecules that integrates an allene-like core with a Fibonacci-inspired arrangement of carbon units. In this concept, the molecule contains a cumulene or allene motif whose surrounding carbon fragments or spacer chains have lengths that follow the Fibonacci sequence (for example, 1, 1, 2, 3, 5, 8 carbons).

Structurally, the idea envisions a central allene (C=C=C) or cumulene segment from which side chains or successive segments extend, with the number of methylene units between branching points determined by Fibonacci numbers. The resulting backbones are envisioned as sequence-controlled polyenes with potential variations in branching patterns. The emphasis is on how the Fibonacci sequence could influence conjugation length, torsional arrangements, and symmetry.

No experimental synthesis or direct characterization has been reported; thus, Fibonaccitallene remains a theoretical construct used in discussions about the intersection of mathematics and molecular design. Researchers study such concepts to explore how mathematical growth rules could shape electronic structure in conjugated systems and to illustrate combinatorial aspects of sequence-controlled molecules.

See also: allene, cumulene, Fibonacci sequence, mathematical chemistry.