To calculate potential energy of paraelectric crystal

[Meera.sheeda]

I understand that to calculate the potential energy of a paramagnet you use U=2μ_BBS
but is there an equation to calculate the energy of a para-electric crystal.

Also, if this equation required S, would that always be N/2 (is a para-electric crystal always completely polarised?)

 

[eljose79]

Thank you for your question regarding the potential energy of para-electric crystals. While the equation you mentioned, U=2μBBS, is commonly used to calculate the potential energy of paramagnets, it is not applicable to para-electric crystals. The reason for this is that para-electric crystals do not have a magnetic moment, unlike paramagnets.

Instead, the energy of a para-electric crystal can be calculated using the equation U=½ε0E^2, where ε0 is the permittivity of free space and E is the electric field. This equation takes into account the electric polarization of the crystal, rather than its magnetic properties.

To answer your second question, the value of S in this equation would not always be N/2. The polarization of a para-electric crystal depends on various factors such as temperature, external electric field, and crystal structure. Therefore, the value of S can vary and may not always be equal to N/2.

I hope this clarifies your doubts. If you have any further questions, please feel free to ask.