The specific heat of Cd Mn Se (x = 0.01) and Cd , Mn S (x = 0.026) in the
temperature range of 0.3 - 40K was measured. The measurements were carried out in
different applied magnetic fields (H = 0,10,20, 28KG). The results were analyzed
with a model which includes long range interactions. Calculations based on on
extended version of nearest neighbor pair approximation (including triplets) yielded
a reasonable agreement with the experimental results. This approximation is seen to
provide a good simultaneous description of the specific heat, susceptibility and
magnetization results.