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- W1673133776 abstract "We have performed Raman studies of the E-symmetry phonon modes in barium sodium niobate in the tetragonal ferroelectric phase above 582 K and measured carefully their splitting into pairs of ${mathit{B}}_{1}$ and ${mathit{B}}_{2}$ symmetry in the incommensurate (IC) phase between 543 and 582 K. For both heating and cooling cycles the data satisfy mean-field predictions with ${mathit{B}}_{1}$-${mathit{B}}_{2}$ frequency splitting proportional to the order parameter. The data show that the incommensurate-incommensurate transition at 565 K (heating) does not alter the orthorhombic symmetry; that is, it is not a true 1q-2q transition, and tetragonal symmetry does not set in until the incommensurate-normal transition at 582 K. This is compatible with very recent electron microscopy data (Verweft, Van Tendeloo, and Van Landuyt), which show that the incommmensurate-incommensurate transition near 565 K produces only short-range order in a direction perpendicular to the long-range 1q modulation, and with x-ray studies of this transition (Kiat, Toledano, and Schneck). An analogous situation is observed just below the incommensurate-commensurate transition at 105 K: Here the ${mathit{C}}_{11}$ and ${mathit{C}}_{22}$ elastic coefficients have minima at 105 K, signaling a phase transition, but they do not become equal (${mathit{C}}_{11}$=${mathit{C}}_{22}$) until approximately 90 K, indicating that there is an incommensurate-incommensurate transition from orthorhombic to tetragonal near 90 K. The 90-K IC-IC transition seems quite analogous to the 565-K IC-IC transition, but electron microscopy shows that these phases are not reentrant." @default.
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- W1673133776 date "1991-05-01" @default.
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- W1673133776 title "Raman spectroscopy of incommensurate<mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>Ba</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML display=inline><mml:mrow><mml:msub><mml:mrow><mml:mi mathvariant=normal>NaNb</mml:mi></mml:mrow><mml:mrow><mml:mn>5</mml:mn></mml:mrow></mml:msub></mml:mrow></mml:math><mml:…" @default.
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- W1673133776 doi "https://doi.org/10.1103/physrevb.43.10999" @default.
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