in dielectric vs temperature graph the value of dielectric constant is high as compared to at high temperature region but it is less that at high temperature .
The behavior you are describing, where the dielectric constant is higher at low temperatures but lower at high temperatures, is a common phenomenon known as "dielectric dispersion." There are several possible causes of dielectric dispersion, including:
Dipolar relaxation: Dipolar relaxation occurs when polar molecules within a material can rotate or reorient in response to an applied electric field. At low temperatures, the mobility of these molecules is reduced, which can result in a higher dielectric constant. However, at high temperatures, the mobility of these molecules increases, which can result in a lower dielectric constant.
Ionic conductivity: In some materials, ions can migrate in response to an applied electric field. At low temperatures, the mobility of these ions is reduced, which can result in a higher dielectric constant. However, at high temperatures, the mobility of these ions increases, which can result in a lower dielectric constant.
Structural changes: At high temperatures, some materials may undergo structural changes that can result in a lower dielectric constant. For example, if a material transitions from a crystalline to an amorphous phase at high temperatures, the dielectric constant may be reduced.
Overall, the cause of dielectric dispersion depends on the specific material and the temperature range being studied. However, dipolar relaxation and ionic conductivity are common causes of dielectric dispersion in many materials.