Electron-hole symmetry results in the requirement that if the soliton
(S) wavefunction is predominantly on odd sites, the antisoliton (SBAR)
wavefunction must be predominantly on even ones, or vice versa. Minim
um-energy considerations nevertheless dictate that, for polyacetylene
doping such that there is an even ratio of C-Hs to ions, solitons and
antisolitons must be evenly spaced, i.e., both must have their centers
on sites of the same parity. This requirement can be satisfied by usi
ng for either S or SBAR the wavefunction obtained by translation throu
gh one site. Such wavefunctions have been studied by Takahashi and Fuk
utome.