In continuation of {[}10] we construct weakly mixing and uniformly rigid diffeomorphisms on D-m, T-m as well as S-1 x {[}0, 1](m-1) (m >= 2): If a sequence of natural numbers satisfies a certain growth rate, then there is a weakly mixing C-infinity-diffeomorphism that is uniformly rigid with respect to that sequence. The proof is based on a quantitative version of the Approximation by Conjugation-method with explicitly defined conjugation maps. (C) 2018 Elsevier Inc. All rights reserved.