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Thermal equations of state and phase relation of PbTiO3: A high P-T synchrotron x-ray diffraction study
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10.1063/1.3651377
/content/aip/journal/jap/110/8/10.1063/1.3651377
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/8/10.1063/1.3651377

Figures

Image of FIG. 1.
FIG. 1.

(Color online) Representative synchrotron XRD patterns of tetragonal and cubic PbTiO3.

Image of FIG. 2.
FIG. 2.

(Color online) Pressure-temperature phase diagram of PbTiO3. Empty circle – cubic phase; empty square – tetragonal phase prior to heating; solid square – tetragonal phase upon heating; solid diamond – tetragonal to cubic phase transition in Ref. 27 11.2 GPa; solid cross – tetragonal to cubic phase transition in Ref. 26 13 GPa. The dashed line represents a boundary between the cubic and tetragonal phases.

Image of FIG. 3.
FIG. 3.

(Color online) Variation of lattice parameters of tetragonal PbTiO3 as a function of pressure at different temperatures.

Image of FIG. 4.
FIG. 4.

(Color online) P-V-T data measured for cubic PbTiO3. The curves represent results of the least-squares fitting using Eq. (1).

Image of FIG. 5.
FIG. 5.

(Color online) P-V-T data measured for tetragonal PbTiO3. The curves represent results of the least-squares fitting using Eq. (1).

Image of FIG. 6.
FIG. 6.

(Color online) Thermal pressures (P th) of the cubic (empty circles) and tetragonal (solid circles) PbTiO3 phases as a function of temperature. The spread of the data points at any given temperature corresponds to thermal pressures at different volumes, which are plotted in detail in the inset. The lines in the inset show approximate constant values of thermal pressure at a given temperature.

Tables

Generic image for table
Table I.

Summary of thermoelastic parameters for cubic and tetragonal PbTiO3. Except for , the numbers in parentheses are standard deviations from the least-squares fit and refer to the last digit(s) of the parameter values. For , the uncertainties are estimated from the error propagation of K 0 and .

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/content/aip/journal/jap/110/8/10.1063/1.3651377
2011-10-18
2014-04-25
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Thermal equations of state and phase relation of PbTiO3: A high P-T synchrotron x-ray diffraction study
http://aip.metastore.ingenta.com/content/aip/journal/jap/110/8/10.1063/1.3651377
10.1063/1.3651377
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