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65449143775
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For fully coherent BT-ST on (001) ST, the pseudocubic misfit strain is used that has a value of -2.54% (compression) and for fully coherent PT-ST on (001) ST -1.18% (compression). The net strain changes with electrostrictive effects below TC that is self-consistently taken into account in the calculations.
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For fully coherent BT-ST on (001) ST, the pseudocubic misfit strain is used that has a value of -2.54% (compression) and for fully coherent PT-ST on (001) ST -1.18% (compression). The net strain changes with electrostrictive effects below TC that is self-consistently taken into account in the calculations.
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18
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11744388456
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Free energy coefficients for BT, PT, and ST and how strain modifies these can be found in, 0031-9007, () 10.1103/PhysRevLett.80.1988;, Ferroelectrics 0015-0193 99, 45 (1989);, Phys. Rev. B 0163-1829 61, R825 (2000) (Sij of components can also be found from the references cited herein. The elastic energy does not significantly alter the domain stabilities as there is nearly two orders of magnitude energy difference between the pure elastic energy and the polarization energy and exists in both MD and SD). 10.1103/PhysRevB.61.R825
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65449188505
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The original form of the DW energy is a δ2 (dP/dx) 2 and acts as an energy penalty for spatial variations for a polarization wave propagating along x -axis (P ⊥x) with a being a function of the Curie point and δ is the correlation length, also expressed as (a δ2 /Δ x2) (Pi - Pi-1) 2 in a discretized form. Δx depends on the discretization and could be taken comparable to the unit cell dimensions. A (P1 - P2) 2 term in this work is an approximate cost of DW energy density when DF energy is compensated by degenerate polarization states in a MD state and is intended for demonstrative purposes. The system is sensitive to the ratio of this term to the rest of the free energy terms, putting an imposition on the polarization solutions of a FE phase similar to the former original form of the DW energy.
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The original form of the DW energy is a δ2 (dP/dx) 2 and acts as an energy penalty for spatial variations for a polarization wave propagating along x -axis (P ⊥x) with a being a function of the Curie point and δ is the correlation length, also expressed as (a δ2 /Δ x2) (Pi-Pi-1) 2 in a discretized form. Δx depends on the discretization and could be taken comparable to the unit cell dimensions. A (P1-P2) 2 term in this work is an approximate cost of DW energy density when DF energy is compensated by degenerate polarization states in a MD state and is intended for demonstrative purposes. The system is sensitive to the ratio of this term to the rest of the free energy terms, putting an imposition on the polarization solutions of a FE phase similar to the former original form of the DW energy.
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34548700617
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