Critical Behaviour of the Heat Capacity Near the α-β Phase Transition in Quartz

2013 ◽  
Vol 32 (2) ◽  
pp. 189-194 ◽  
Author(s):  
H. Yurtseven ◽  
M. Desticioğlu
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Critical Exponent ◽  
Power Law ◽  
Theoretical Models ◽  
Order Transition ◽  
Critical Behaviour ◽  
Experimental Heat ◽  
Β Phase ◽  
Second Order Transition

AbstractThe α-β transition (TQ = 578°C) is studied in quartz by analyzing the experimental heat capacity Cp data taken from the literature, using a power-law formula. Values of the critical exponent α for Cp are extracted below and above TQ, which describe the α-β transition as a second order transition in quartz. The α values obtained here are compared with the predictions of the theoretical models.

scholarly journals Application of the Pippard Relations to Cyclohexane near the Melting Point

2012 ◽  
Vol 2012 ◽  
pp. 1-4 ◽  
Author(s):  
Hamit Yurtseven
Keyword(s):  
Experimental Data ◽  
Melting Point ◽  
Organic Compound ◽  
Critical Exponent ◽  
Power Law ◽  
Thermal Expansivity ◽  
Second Order ◽  
Order Transition ◽  
Thermodynamic Quantities ◽  
Second Order Transition

The Pippard relations are verified near the melting point for cyclohexane. The experimental data for the thermal expansivity is analyzed according to a power-law formula using the critical exponent and the thermodynamic quantities are calculated close to the melting point for this molecular organic compound. This applies to those compounds showing a second order transition prior to melting.

Heat Capacity in α-β Phase Transition of Quartz

1985 ◽  
Vol 54 (2) ◽  
pp. 625-629 ◽  
Author(s):  
Masahide Matsuura ◽  
Haruhiko Yao ◽  
Kazutoshi Gouhara ◽  
Ichiro Hatta ◽  
Norio Kato
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Β Phase

scholarly journals Analysis based on scaling relations of critical behaviour at PM–FM phase transition and universal curve of magnetocaloric effect in selected Ag-doped manganites

RSC Advances ◽  
2018 ◽  
Vol 8 (33) ◽  
pp. 18294-18307 ◽  
Author(s):  
S. Tarhouni ◽  
R. M'nassri ◽  
A. Mleiki ◽  
W. Cheikhrouhou-Koubaa ◽  
A. Cheikhrouhou ◽  
...  
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Magnetocaloric Effect ◽  
Critical Exponents ◽  
Critical Behaviour ◽  
Scaling Relations ◽  
Universal Curve ◽  
Magnetic Entropy ◽  
Heat Capacity Changes ◽  
Doped Manganites

The universal curves of magnetic entropy changes and heat capacity changes for Pr0.5Sr0.5−xAgxMnO3 (0 ≤ x ≤ 0.2) are obtained by using the critical exponents.

CRITICAL BEHAVIOR OF THE SPECIFIC HEAT IN THE VICINITY OF THE TRANSITION TEMPERATURE FOR S-TRIAZINE

2009 ◽  
Vol 23 (09) ◽  
pp. 2253-2259 ◽  
Author(s):  
M. KURT ◽  
H. YURTSEVEN
Keyword(s):  
Experimental Data ◽  
Phase Transition ◽  
Transition Temperature ◽  
Critical Exponent ◽  
Specific Heat ◽  
Power Law ◽  
Order Phase Transition ◽  
Critical Behavior ◽  
First Order ◽  
Second Order Phase Transition

The critical behavior of the specific heat is studied in s-triazine ( C 3 N 3 H 3). Using the experimental data for the CP, the temperature dependence of the specific heat is analyzed according to a power-law formula and the values of the critical exponent for CP are extracted in the vicinity of the transition temperature (TC=198.07 K ). It is indicated that s-triazine undergoes a weakly first order (quasi-continuous) or second order phase transition.

scholarly journals PHASE TRANSITION IN THE HEISENBERG FULLY-FRUSTRATED SIMPLE CUBIC LATTICE

2011 ◽  
Vol 25 (12n13) ◽  
pp. 929-936 ◽  
Author(s):  
V. THANH NGO ◽  
D. TIEN HOANG ◽  
H. T. DIEP
Keyword(s):  
Phase Transition ◽  
Statistical Physics ◽  
Spin Model ◽  
Order Transition ◽  
Heisenberg Spin ◽  
Cubic Lattice ◽  
Simple Cubic ◽  
Simple Cubic Lattice ◽  
Second Order Transition ◽  
Frustrated Spin

The phase transition in frustrated spin systems is a fascinating subject in statistical physics. We show the result obtained by the Wang–Landau flat histogram Monte Carlo simulation on the phase transition in the fully frustrated simple cubic lattice with the Heisenberg spin model. The degeneracy of the ground state of this system is infinite with two continuous parameters. We find a clear first-order transition in contradiction with previous studies which have shown a second-order transition with unusual critical properties. The robustness of our calculations allows us to conclude this issue putting an end to the 20-year long uncertainty.

Heat capacity of NH4Cl1 − xBrx solid solutions in the vicinity of the γ-to-β phase transition

1984 ◽  
Vol 16 (8) ◽  
pp. 719-732 ◽  
Author(s):  
E.B. Amitin ◽  
O.A. Nabutovskaya ◽  
I.E. Paukov ◽  
K.S. Sukhovey
Keyword(s):  
Phase Transition ◽  
Heat Capacity ◽  
Solid Solutions ◽  
Β Phase

The Amphorous and Crystalline Forms of Rubber Hydrocarbon

1937 ◽  
Vol 10 (1) ◽  
pp. 135-136 ◽  
Author(s):  
George S. Parks
Keyword(s):  
Heat Capacity ◽  
Thermal Expansion ◽  
Coefficient Of Thermal Expansion ◽  
Second Order ◽  
Crystalline Form ◽  
Order Transition ◽  
Heat Of Fusion ◽  
Warm Up ◽  
Volume Coefficient ◽  
Second Order Transition

Abstract The coefficients of thermal expansion and the heat capacities of rubber hydrocarbon, both in an amorphous and in a so-called crystalline form, have been recently reported in two papers by Bekkedahl and Matheson. According to these investigators, the amorphous form undergoes a transition of the second order in the neighborhood of 199° K. Above this temperature they found a rather abrupt increase of approximately 205 per cent in the volume coefficient of thermal expansion, and one of about 38 per cent in the heat capacity. These phenomena are strikingly similar to those found in numerous studies on glasses in this laboratory, and especially in the recent investigation on polyisobutylene by Ferry and Parks. Thus, with the particular sample of polymerized isobutene employed, the transition region centered around 197° K. and the subsequent increases in volume coefficient and heat capacity were 200 and 32 per cent, respectively. Bekkedahl and Matheson found that, by cooling the amorphous rubber hydrocarbon to about 230° K. and then permitting it to warm up slowly over a period of days, their material could be obtained in a “crystalline” form. These “crystals” melted at 284° K. with a heat of fusion of 4.0 calories per gram. They also exhibited the previously mentioned second-order transition at about 199° K., but with somewhat smaller subsequent increases with rising temperature, i. e., about 165 per cent increase in the volume coefficient of thermal expansion and 28 per cent in the heat capacity. Two facts appear surprising and highly significant with these “crystals”: (1) the value of the heat of fusion which is extremely low compared with the figures of 20 to 54 calories per gram hitherto reported for various aliphatic hydrocarbons melting near room temperature, and (2) the duplication of the second-order transition found previously for amorphous rubber hydrocarbon.

ANALYSIS OF HEAT CAPACITY AND GLASS TRANSITION IN AMORPHOUS ICE

2010 ◽  
Vol 24 (17) ◽  
pp. 1915-1921 ◽  
Author(s):  
H. YURTSEVEN ◽  
M. KURT
Keyword(s):  
Heat Capacity ◽  
Glass Transition ◽  
Transition Temperature ◽  
Critical Exponent ◽  
Power Law ◽  
Critical Behavior ◽  
High Density ◽  
Low Density ◽  
Amorphous Ice

We analyze the heat capacity CP for low and high-density amorphous ice below the transition temperature (TC ≈ 140 K ) using a power-law formula. The renormalized critical exponent αR is extracted from the observed CP data, which describes similar critical behavior for both low and high-density amorphous ice below TC. Our analysis can also describe a glass transition in the low-density amorphous ice which is made from the high-density amorphous ice at 124 K, as observed experimentally.

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