How does calcium substitution affect the temperature range of barium titanate’s dielectric peak?

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In barium titanate (BaTiO3), the substitution of calcium (Ca2+) for barium (Ba2+) ions is used to modify the material's ferroelectric properties. Specifically, this chemical substitution broadens the temperature range at which the dielectric constant peak occurs.1

This modification is significant because pure barium titanate exhibits a sharp, large peak in its dielectric constant near the Curie point, a characteristic that is often undesirable for applications requiring stable capacitor performance. By broadening this peak, calcium substitution helps stabilize the material's dielectric response across a wider range of temperatures.1