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We studied the finite-size effects on the magnetic behavior of thequasi-one-dimensional spin S = $\frac{1}{2}$ Heisenberg antiferromagnetsSr$_{2}$CuO$_{3}$, Sr$_{2}$Cu$_{0.99}$M$_{0.01}$O$_{3}$ (M = Zn and Ni), andSrCuO$_{2}$. Magnetic susceptibility data were analyzed to estimate theconcentration of chain-breaks due to extrinsically doped defects and/or due toslight oxygen off-stoichiometry. We show that the susceptibility ofSr$_{2}$Cu$_{0.99}$Ni$_{0.01}$O$_{3}$ can be described by considering Ni$^{2+}$as a scalar defect ($S_{eff}=0$) indicating that the Ni spin is screened. InSr$_{2}$Cu$_{0.99}$Zn$_{0.01}$O$_{3}$ susceptibility analysis yields a defectconcentration smaller than the nominal value which is in good qualitativeagreement with crystal growth experiments. Influence of doping on thelow-temperature long-range spin ordered state is studied. In the compoundSrCuO$_{2}$, consisting of zigzag S = $\frac{1}{2}$ chains, the influence ofspin frustration on the magnetic ordering and the defect concentrationdetermined from the susceptibility data is discussed.

physical review. b, condensed matter and materials physics

Finite-size effects in the quasi-one-dimensional quantum magnets  Sr$_{2}$CuO$_{3}$, Sr$_{2}$Cu$_{0.99}$M$_{0.01}$O$_{3}$ (M = Ni, Zn), and  SrCuO$_{2}$