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a0SiC amorphous anions axis bonds Brillouin zone carbon cations centres ceramic ceramic materials chemical coefficient composed composition concentration conduction band constant corresponds crack tip crystal structure crystalline cubic decrease deformation denote density dielectric diffusion direction discussed dislocation line dispersed systems displacement domains elastic strain electric field electron holes equation equilibrium positions example ferrimagnetic ferrites ferroelectric fibres force formation fracture frequency glass grain boundaries heat high temperatures illustrated in Fig impurity atoms increase insulators interaction interatomic interface interstitial ionic ions lattice points layer matrix mechanism metals microstructure modulus multiphase materials occur orbitals oxides oxygen p-n junction particles phase photons plane point defects polarization polycrystal polycrystalline pores porosity potential properties radiation result Section semiconductors shear shown in Fig silicon sintering slip solid solution strength structural elements surface Table tensile stresses thermal conductivity typical vacancy valence band vector volume fraction Young's modulus ZrO2