“…Considering that the −Δ S m values of the magnetic refrigerants drop to zero below the magnetic ordering temperature ( T 0 ) and the temperatures in different stages need to partially overlap, excellent magnetic refrigerants suitable for 1–4 K should not only have a large −Δ S m value, but also its T 0 should be at least less than 1 K. In the effort to prepare the magnetic refrigerants with large −Δ S m , it was found that both high magnetic density and weak magnetic interaction are the prerequisites and guarantees for obtaining magnetic refrigerants with large −Δ S m . − Based on the understanding of the factors affecting −Δ S m , especially the discovery that the substitution of F – for OH – in the frameworks can effectively reduce the Gd···Gd magnetic interaction, one has been able to predict if a magnetic refrigerant has a large −Δ S m from the equation −Δ S m = nR ln(2 S + 1)/ M w and has successfully prepared a series of magnetic refrigerants with large −Δ S m , such as Gd(HCOO) 3 , Gd(OH) 3 , GdPO 4 , Gd(OH)CO 3 , GdF 3 , and Gd(OH)F 2 . Although great progress has been made in the study of magnetic refrigerants with large −Δ S m , owing to the T 0 of a magnetic refrigerant being related to not only magnetic exchange but also single-ion anisotropy and magnetic dipole interaction, the study of the T 0 of magnetic refrigerants is still lagging behind, despite the fact that the T 0 of magnetic refrigerants is the key to determine whether a magnetic refrigerant can be practicable in the temperature range of 1–4 K or below 1 K. The main reasons are as follows: (1) Because the T 0 of magnetic refrigerants used in 1–4 K should be at least lower than 1 K, it is difficult for physical measurements to reach the temperature below 1 K without a dilution refrigerator, which limits the exploration of their T 0 experimentally.…”