Configurational Entropy Change of Sodium Pyrophosphate

1975 ◽  
Vol 53 (12) ◽  
pp. 1739-1743 ◽  
Author(s):  
Kiang Y. Leung

Based on an analysis of the observed crystal structures of the phases of anhydrous sodium pyrophosphate, a calculation of the configurational entropy change of the system between the ordered ambient-temperature phase and the disordered hexagonal phase above 600 °C has been carried out. The result is 0.2187R cal mol−1 deg−1 where R is the gas constant.

Author(s):  
Sangchae Kim ◽  
Bharath Bethala ◽  
Simone Ghirlanda ◽  
Senthil N. Sambandam ◽  
Shekhar Bhansali

Magnetocaloric refrigeration is increasingly being explored as an alternative technology for cooling. This paper presents the design and fabrication of a micromachined magnetocaloric cooler. The cooler consists of fluidic microchannels (in a Si wafer), diffused temperature sensors, and a Gd5(Si2Ge2) magnetocaloric refrigeration element. A magnetic field of 1.5 T is applied using an electromagnet to change the entropy of the magnetocaloric element for different ambient temperature conditions ranging from 258 K to 280 K, and the results are discussed. The tests show a maximum temperature change of 7 K on the magnetocaloric element at 258 K. The experimental results co-relate well with the entropy change of the material.


Crystals ◽  
2021 ◽  
Vol 11 (12) ◽  
pp. 1472
Author(s):  
Sergey V. Krivovichev

Modularity is an important construction principle of many inorganic crystal structures that has been used for the analysis of structural relations, classification, structure description and structure prediction. The principle of maximal simplicity for modular inorganic crystal structures can be formulated as follows: in a modular series of inorganic crystal structures, the most common and abundant in nature and experiments are those arrangements that possess maximal simplicity and minimal structural information. The latter can be quantitatively estimated using information-based structural complexity parameters. The principle is applied for the modular series based upon 0D (lovozerite family), 1D (biopyriboles) and 2D (spinelloids and kurchatovite family) modules. This principle is empirical and is valid for those cases only, where there are no factors that may lead to the destabilization of simplest structural arrangements. The physical basis of the principle is in the relations between structural complexity and configurational entropy sensu stricto (which should be distinguished from the entropy of mixing). It can also be seen as an analogy of the principle of least action in physics.


Author(s):  
Obiajulu Nnaemeka ◽  
Eric Bibeau

The use of pure biodiesel for compression ignition engines during the winter poses a challenge due to gelling and plugging of engine filters and fuel lines. The most common method to prevent this issue is blending with petroleum diesel and many engine manufacturers limit the biodiesel in blends to 20% or less for warrantee purposes; as low as 5% may be set for winter months. In a previous work, the authors proposed a novel fuel tank design that could potentially solve this problem and presented a numerical validation of the concept of using phase change materials (PCM) to enable cold weather operability of 100% biodiesel by maintaining its temperature above a cloud point of 5 degrees Celsius for over 3 days at an ambient temperature of −25 degrees Celsius and initial temperature of 20 degrees Celsius. In this research, an experimental analysis is performed using a scaled model of the fuel tank with canola oil as a test fluid in the tank. The tank is subjected to an ambient temperature of −20 degrees Celsius in an icing tunnel facility with air velocity at 10 m/s. The results show that the time above cloud point was increased from 18.6 hours to 22.5 and 33 hours respectively when 4 and 12 PCM tubes were inserted in the tank containing 33 litres of canola oil. A simple numerical model was formulated to predict the transient temperature of the oil and comparison with experimental results showed excellent agreement.


2002 ◽  
Vol 57 (5) ◽  
pp. 503-508 ◽  
Author(s):  
Hideta Ishihara ◽  
Keizo Horiuchi ◽  
Thorsten M. Gesing ◽  
Shi-qi Dou ◽  
J.-Christian Buhl ◽  
...  

Piperazinium tetrabromocadmate(II)-monohydrate, [C4H12N2]CdBr4 · H2O (1) crystallizes with isolated [CdBr4]2- anions, piperazinium cations, and water molecules (monoclinic, P21/c, Z = 4, a = 698.7(1), b = 1348.6(3), and c = 1432.4(3) pm, β = 92.97(3)˚ at 293 K). The crystal structure of 1 is almost the same as that reported in Inorg. Chim. Acta 187, 141 (1991). The crystal of piperazinium tetraiodocadmate(II), [C4H14N2]CdI4 (2) consists of isolated [CdI4]2- anions and piperazinium cations (orthorhombic,P212121, Z=4, a = 903.2(5), b = 1226.3(6), and c = 1307.9(7) pm at 293 K). The room temperature phase of bis(trimethylsulphonium) tetrabromocadmate( II), [(CH3)3S]2CdBr4 (3) has isolated [CdBr4]2- anions and trimethylsulphonium cations (orthorhombic, P212121, Z = 4, a = 911.3(1), b = 1329.2(2), and c = 1454.7(2) pm at 293 K).


2015 ◽  
Vol 48 (2) ◽  
pp. 318-333 ◽  
Author(s):  
B. Orayech ◽  
A. Faik ◽  
G. A. López ◽  
O. Fabelo ◽  
J. M. Igartua

Na0.5K0.5NbO3has been synthesized by the conventional solid-state reaction process. The crystal structures and phase transitions, at low and high temperature, determined from the Rietveld refinements of X-ray and neutron powder diffraction data are reported. The structure evolution of Na0.5K0.5NbO3in the temperature range from 2 to 875 K shows the presence of three phase transitions. The first one, at ∼135 K, is discontinuous from the rhombohedralR3c(No. 161) space group to the room-temperature orthorhombicAmm2 (No. 38) space group; the second is discontinuous from the orthorhombic to the tetragonalP4mmspace group (No. 99) at ∼465 K, and the third is continuous from the tetragonal to the cubic Pm\overline{3}m space group (No. 221) at ∼700 K. The obtained phase-transition sequence isR3c→Amm2 →P4mm→Pm\overline{3}m. No previous studies at low temperature have been carried out on the material with composition Na0.5K0.5NbO3. In the course of the determination of the three experimentally found phases, a novel method of refinement is presented. This is a step forward in the use of the symmetry-adapted modes as degrees of freedom in the refinement process: the parameterization of a direction in the internal space of the, in this case, sole irreducible representation, GM4−, responsible for the symmetry breaking from the parent cubic space group to the polar distorted low-symmetry phases. Eventually, this procedure enables the calculation of the spontaneous polarization.


1993 ◽  
Vol 8 (7) ◽  
pp. 1484-1486 ◽  
Author(s):  
T.R.S. Prasanna ◽  
Alexandra Navrotsky

The heat capacity and the enthalpy associated with the reported oxygen vacancy order-disorder transition in Ba2In2O5 were measured by high temperature step scanning calorimetry. The transition temperature is 1205 ± 2 K. The transition appears first order or nearly so. The enthalpy and entropy of transition are 1.3 kJ/mol and 1.1 J/mol K, respectively. The latter is only 4.8% of the configurational entropy, arising from mixing one vacancy and five oxygens per formula unit, 22.5 J/mol K. This suggests that the transition involves only a small fraction of the oxygen vacancies and implies extensive short-range order, SRO, in the high temperature phase.


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