Abstract
The situation is considered when the exchange interaction is close to the critical value necessary to introduce a magnetically ordered state (e.g. Pr, Pr3Tl). It is shown that even a small concentration of impurities can considerably change the state of the magnetic system of the matrix. So magnetic impurities in singlet paramagnets cause magnetic ordering in the system with the Curie temperature dependent on the concentration of impurities in a specific non-linear way. The addition of non-magnetic impurities to singlet ferromagnets results in a sharp decrease of the saturation moment and when the impurity concentration exceeds some critical value the magnetic moment vanishes. The addition of magnetic impurities results in a sharply increasing magnetic moment.
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