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We construct candidates for observables in wedge-shaped regions for a classof 1+1-dimensional integrable quantum field theories with bound states whoseS-matrix is diagonal, by extending our previous methods for scalar S-matrices.Examples include the Z(N)-Ising models, the A_N-affine Toda field theories andsome S-matrices with CDD factors.  We show that these candidate operators which are associated with elementaryparticles commute weakly on a dense domain. For the models with two species ofparticles, we can take a larger domain of weak commutativity and give anargument for the Reeh-Schlieder property.

Wedge-local fields in integrable models with bound states II. Diagonal S-matrix