Heisenberg Hamiltonians, with distance-dependent spin couplings and sigma -
bond potential, have proved to be very efficient for the treatment of conju
gated hydrocarbons. A similar approach is applied to C=C triple bonds. The
effective spin couplings are extracted from accurate CI calculations on ace
tylene. Tests show that the treatment of poly-ynes gives reliable results.
The asymptotic trends of the lowest excited states geometry and energy are
discussed.