Determination of Diffusion Coefficient of Nd3+ in NdCrO3 Based on Solid State Reaction.
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The solid state reaction, (1⁄2)Nd<SUB>2</SUB>O<SUB>3</SUB>+(1⁄2)Cr<SUB>2</SUB>O<SUB>3</SUB>→NdCrO<SUB>3</SUB>, was studied between 1473 K and 1773 K in air to determine the parabolic rate constant. The electrical conductivity of the NdCrO<SUB>3</SUB> phases separately equilibrated with Nd<SUB>2</SUB>O<SUB>3</SUB> and Cr<SUB>2</SUB>O<SUB>3</SUB> were measured between 1673 K and 1773 K in an argon-oxygen mixture. The standard Gibbs energy change for the solid state reaction was estimated from the activity dependence of the electrical conductivity of NdCrO<SUB>3</SUB>. According to Wagner's theory, the diffusion coefficient of Nd<SUP>3+</SUP> in NdCrO<SUB>3</SUB> can be evaluated from the parabolic rate constant for the solid state reaction, the standard Gibbs energy change of the solid state reaction, and the defect equilibrium reaction in NdCrO<SUB>3</SUB>. From these data, the diffusion coefficient of Nd<SUP>3+</SUP> in NdCrO<SUB>3</SUB> was given by D_Nd^3+/m^2s^-1 = 1.3 ×10^-6 ·exp\\left(-\\frac343 kJ mol^-1RT \\right) (P_O_2/Pa)^3/16 a_Cr_2O_3^1/8where <I>a</I><SUB>Cr<SUB>2</SUB>O<SUB>3</SUB></SUB> is the activity of Cr<SUB>2</SUB>O<SUB>3</SUB> and <I>P</I><SUB>O<SUB>2</SUB></SUB> is the oxygen pressure. The obtained diffusion coefficient of Nd<SUP>3+</SUP> in NdCrO<SUB>3</SUB> was compared with that of Y<SUP>3+</SUP> in YCrO<SUB>3</SUB> and that of La<SUP>3+</SUP> in LaCrO<SUB>3</SUB>.
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