The chirality-asymmetry macroscopic force mediated by light pseudoscalar particles between α-quartz and some achiral matter is studied.If this force between achiral source mass and α-quartz with some chirality is attractive,it will become repulsive when the chirality of the α-quartz crystal is changed.According to the tested limits of the coupling constant gsgp/hc＜1.5×10-24 at the Compton wavelength)λ=10-3 m,the force(F)between a 0.08×0.08×0.002 m3 block of α-quartz and a 0.08×0.08×0.01 m3 copper block with a separation being 0.5×10-3 m in between.is estimated from the published data at less than 4.64×10-24 N.i.e.F＜4.64×10-24 N.