Peierls lattice distortion has been investigated in substituted polyacetyle
nes. We find that the Peierls dimerization could be suppressed by the subst
itution of hydrogen atoms with phenyl or methyl. A study on an oligomer by
a Lanczos exact diagonalization algorithm indicates that the inclusion of H
ubbard repulsion does not change the result. The expected quadrimerization,
which is required by the Peierls theorem, does not appear in poly(methyl-a
cetylene).