This article mainly discussed critical and magnetic properties in the system of mixed spin-1 and spin-1/2 BCM with bond dilution and random crystal field. In the framework of effective field theory (EFT), we have calculated the relation of Curie temperature and crystal field and discussed system's critical and related magnetic properties in the system of three-dimensional cubic lattice in the presence of bond dilution and random crystal field. The Curie temperature decreases monotonously with the increasing of the crystal field and tricritical point is exhibited, while bond dilution is able to restrain tricritical point obviously. The present system can take on induced magnetic ordering states when bond dilution reaches bond percolation threshold pc. In the range of 0 ≤?D/J≤0.5, the induced magnetic ordering can be always obtained no matter how the random crystal field concentration is lager or small. Therefore, we can believe that crystal field stimulates this kind of ordering states. The further study shows that this system will exhibit single or double compensation points if no magnetic field is applied. In fact, magnetic field plays an important role in the phenomenon of compensation point. Moreover, we have found a new and special phenomenon of compensation in the space M-H: a certain size of magnetic field perhaps enables system's total magnetization to vanish when crystal field and random crystal field concentration take larger values. Some results are not reported in previous papers, actually.
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