PHYSICS · Multi-part · Fermi University Physics · Condensed Matter, Materials & Soft Matter · Dielectric and optical properties of solids · Dielectric and optical properties of solids
Solid State Physics, Ch Dielectric response, local fields and ferroelectricity
Problem
Triglycine sulfate, TGS, is ferroelectric below Tc=322K.
((a)) A P-E hysteresis loop measured on a TGS single crystal at 296K has saturation branches that extrapolate to P=2.8μCcm−2 on the polarisation axis; the loop crosses the polarisation axis (at E=0) at 2.5μCcm−2, and crosses the field axis (at P=0) at E=1.3kVcm−1. Give the spontaneous polarisation Ps, the remanent polarisation Pr and the coercive field Ec in SI units.
((b)) Above Tc, Raman and neutron scattering on TGS find a strong peak centred at zero frequency (a central peak) whose width narrows as T→Tc, with no propagating optic mode ever observed to fall towards zero frequency. Say whether TGS is displacive or order-disorder, and state briefly what is disordering.
((c)) At a temperature above Tc the dielectric loss of TGS shows a single relaxational peak with its maximum at f=15GHz. Find the associated relaxation time, and say which of the three polarisation mechanisms this relaxation belongs to.