Abstract
The new approximation methods are applied to the analyses of the magnetic susceptibilities of the alternatingly spaced Heisenberg chain and the ladder-like systems of spin one-half. The magnetic susceptibility of antiferromagnetic compounds Cu-HTS and Cu-OTS which are recently found good examples of the alternating Heisenberg linear chains has been analyzed by the use of ( q +1)-approximation and the exchange coupling parameters have been estimated. As an example of antiferromagnetic compounds having ladder-like structure, hydrazinium copper (II) chloride has been taken up and the pair-approximation is applied for the analysis of its magnetic susceptibility. Both approximations have proved to be quite effectual and expedient method to analyze the magnetic properties of low-dimensional spin systems.
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