# Is magnetic susceptibility infinite at Curie temperature for a ferromagnetic material?

By Curie-Weiss law , $$\chi_m = \frac{C}{T-T_c}$$ Where, C is Curie constant and $$T_c$$ is Curie temperature. If T = $$T_c$$ would then $$\chi_m$$ be $$\infty$$ ? But by theory , at Curie temperature the ferromagnetic material becomes paramagnetic. But , for a paramagnetic material, $$\chi_m\gt1$$ How is this possible?

Please point out and explain where am I going wrong.

• It is true that the susceptibility diverges at the critical temperature. I am unsure where you got that $\chi_{m}<1$ for a paramagnet? Commented Dec 24, 2023 at 21:06
• Oops! You are right. For paramagnetic materials magnetic susceptibility is not less than unity but its greater than unity. However in many of the textbooks its specified that $\chi_m$ is very small. For example water has susceptibility in the order of $10^{-7}$. Commented Dec 25, 2023 at 0:34
• I am not aware of this either, as far as I know the definition of a paramagnet is that the susceptibility is $\chi_{m}>0$. Commented Dec 25, 2023 at 7:32