RAMAN STUDY OF BENZENE NEAR THE MELTING POINT

We calculate here the Raman frequencies of some lattice modes as a function of pressure at constant temperatures for the solid and liquid phases of benzene. The observed data for the molar volume from literature is used to calculate the Raman frequencies through the mode Grüneisen parameter in benzene. Our calculated frequencies are in good agreement with the observed data when the mode Grüneisen parameter is taken as a constant at one particular pressure in solid benzene. It is shown here that the Raman frequencies can be calculated from the volume data, as demonstrated for benzene here.

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Raman wavenumbers calculated as a function of pressure from the mode Grüneisen parameter of PZT (x=0.48) ceramic close to the monoclinic-cubic transition

Journal of Advanced Dielectrics ◽

10.1142/s2010135x19500395 ◽

2019 ◽

Vol 09 (05) ◽

pp. 1950039

Author(s):

A. Kiraci

Keyword(s):

Pressure Dependence ◽

Thermodynamic Quantities ◽

Grüneisen Parameter ◽

Volume Data ◽

Expansion Formula ◽

Gruneisen Parameter ◽

Raman Modes ◽

Isothermal Mode ◽

Perovskite Type ◽

Good Agreement

The isothermal mode Grüneisen parameter [Formula: see text] of some Raman modes in [Formula: see text]TixO3 (PZT, [Formula: see text]) were calculated as a function of pressure by means of the observed pressure-dependent volume data of PZT ([Formula: see text]) crystal from the literature at room temperature of 298[Formula: see text]K. Those calculated values of [Formula: see text] were then used to compute the pressure dependence of the Raman modes in PZT ([Formula: see text]) ceramic studied here. The observed and calculated values of the Raman wavenumbers in PZT were in good agreement, which indicates that the isothermal mode Grüneisen parameter can also be used to predict the pressure-dependent wavenumbers of some other perovskite-type crystals. Additionally, the pressure dependence of the thermodynamic quantities such as isothermal compressibility [Formula: see text], thermal expansion [Formula: see text] and the specific heat [Formula: see text] of PZT ([Formula: see text]) ceramic were predicted at constant temperature of 298[Formula: see text]K. Here, the experimentally measurable thermodynamic quantities calculated for PZT ([Formula: see text]) ceramics provide theoretically a significant opportunity for testing.

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CALCULATION OF THE MOLAR VOLUME IN THE SOLID AND LIQUID PHASES OF CCl4

Modern Physics Letters B ◽

10.1142/s0217984910022184 ◽

2010 ◽

Vol 24 (01) ◽

pp. 75-80 ◽

Cited By ~ 3

Author(s):

H. YURTSEVEN ◽

D. KAVRUK

Keyword(s):

Melting Point ◽

Molar Volume ◽

Solid Phase ◽

Anomalous Behavior ◽

Thermal Expansivity ◽

Temperature Variations ◽

Liquid Phases ◽

Temperature Ranges ◽

Temperature And Pressure ◽

The Given

The molar volume of carbon tetrachloride is calculated as functions of temperature and pressure close to the melting point. By analyzing the experimental data for the pressure dependence of the thermal expansivity according to a power-law formula, the molar volume is calculated for the solid and liquid phases of this molecular organic compound. Our calculations show that the molar volume of the solid phase increases almost linearly as the temperature and pressure increase, so that there is no anomalous behavior close to the melting point in CCl 4. In the liquid phase, it does not vary considerably within the given pressure and temperature ranges. Our calculated molar volumes can be compared with measurements for CCl 4 under the given pressure and temperature variations.

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CALCULATION OF THE RAMAN FREQUENCIES AT LOW PRESSURES AND TEMPERATURES (σ-PHASE) SOLID NITROGEN

International Journal of Modern Physics B ◽

10.1142/s0217979213501257 ◽

2013 ◽

Vol 27 (23) ◽

pp. 1350125 ◽

Cited By ~ 4

Author(s):

H. YURTSEVEN ◽

A. ASLANTAŞ

Keyword(s):

Experimental Data ◽

High Frequency ◽

Constant Pressure ◽

Grüneisen Parameter ◽

Volume Data ◽

Σ Phase ◽

Α Phase ◽

Solid Nitrogen ◽

Low Pressures ◽

Lattice Modes

We calculate the Raman frequencies of the Egmode and, the low and high frequency Tgmode as a function of temperature at a constant pressure of 2.85 kbar in the α-phase of solid nitrogen. The Raman frequencies of those lattice modes are calculated using the volume data from the literature at various temperatures (2.85 kbar) for the α-phase of solid N2through the mode Grüneisen parameter. Our predicted Raman frequencies can be compared with the experimental data and by this method the Raman frequencies can be calculated as a function of temperature at some other constant pressures.

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Raman Study of Solid Nitrogen in the β Phase and Close to the Melting Line

High Temperature Materials and Processes ◽

10.1515/htmp-2012-0050 ◽

2013 ◽

Vol 32 (1) ◽

pp. 25-31 ◽

Cited By ~ 8

Author(s):

E. Çetinbaş İşeri ◽

H. Yurtseven

Keyword(s):

Molecular Nitrogen ◽

Melting Curve ◽

Molecular Solids ◽

Melting Line ◽

Volume Data ◽

Β Phase ◽

Solid Nitrogen ◽

Raman Study ◽

Temperature And Pressure ◽

Lattice Modes

AbstractThis study gives the Raman frequencies calculated as functions of temperature and pressure for the lattice modes in the solid β phase and close to the melting line (β-fluid transition). The experimental volume data from the literature is used to calculate the Raman frequencies for the molecular nitrogen system. Some observed Raman frequencies are also used as the initial data to perform our calculations given here.It is shown that our values predict the observed Raman frequencies of the lattice modes studied in the β phase and also on the solid β-fluid melting curve. This initiates the applicability of the method given here to calculate the frequency from the volume data in various phases of molecular solids such as solid nitrogen.

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Theoretical Determination of Pressure-Volume-Temperature Relationship of Some Alkali Halides

Defect and Diffusion Forum ◽

10.4028/www.scientific.net/ddf.272.107 ◽

2008 ◽

Vol 272 ◽

pp. 107-116

Author(s):

Quan Liu

Keyword(s):

Alkali Halides ◽

Temperature Relationship ◽

Grüneisen Parameter ◽

Gruneisen Parameter ◽

Volume Dependence ◽

Compression Data ◽

Experimental Values ◽

Relationship Of ◽

Good Agreement

The Chopelas-Boehler approximation for the volume dependence of the Anderson-Gruneisen parameter along isotherms and the new approximation for the volume dependence of the Anderson-Gruneisen parameter along isobars have been used to study the pressure-volume-temperature relationship for LiF, NaF and CsCl crystals up to a pressure of 90kbar and in the temperature range 298-1073K. The calculated values of compression data and experimental values are found to be in good agreement.

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VOLUME DEPENDENCE OF GRUNEISEN PARAMETER FOR SOLIDS

Modern Physics Letters B ◽

10.1142/s0217984908017631 ◽

2008 ◽

Vol 22 (31) ◽

pp. 3113-3123 ◽

Cited By ~ 7

Author(s):

S. K. SHARMA

Keyword(s):

Experimental Data ◽

Temperature Dependence ◽

Empirical Relationship ◽

Grüneisen Parameter ◽

Thermal Pressure ◽

Gruneisen Parameter ◽

Modified Model ◽

Volume Dependence ◽

Good Agreement

The present paper proposes a new empirical relationship to predict the values of volume dependence of the Gruneisen parameter. ε- Fe , NaCl , Li , Na and K in different pressure ranges have been employed to test the reliability of the model. The obtained results indicate that the model is reliable due to a good agreement between calculated results and the experimental data. Based on this modified model, the temperature dependence of thermal pressure for NaCl is also examined.

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