scholarly journals THE DEPENDENCE OF THE COMPRESSION MODULUS OF ICE-SIX AND THE COEFFICIENT OF VOLUME EXPANSION ON PRESSURE AND TEMPERATURE

2020 ◽  
Vol 70 (2) ◽  
pp. 166-170
Author(s):  
T. Bizhigitov ◽  
◽  
A. Yelibayeva ◽  

This pioneering study investigated the partial derivatives of the dependence of the compression modulus of ice-six on pressure and temperature, and the coefficient of volume expansion on the temperature at high pressure and low temperature. Ice six is documented on the phase diagram between the pressures 600 and 2000 MPa and between the temperatures 110 and 330 K. The pressure and temperature dependence of the all-round compression module was practically implemented in a multilayer cylinder-piston vessel. The change in the relative volume of the sample was measured using a transducer which converts linear translational motion into electrical pulses. The pressure of the sample was measured by measuring the electrical resistance of tin and gallium conductors and phase transition points of polymorphic ice modifications. The temperature of this ice-six modification was determined by a graduated copperconstantan thermocouple. Moreover, in this paper, the Debye characteristic temperatures of ice-six and the Gruneisen constant are estimated.

2021 ◽  
Author(s):  
Roland Hermann Pawelke

<p>The relative volume change of reversible metal hydrides upon hydrogenation is determined by means of the van’t Hoff reaction entropy and STP ideal gas parameters. This method allows insight into the requirements to metal hydride formation, outlined by example of Ti-NaAlH<sub>4</sub>. This work presents a timeless perspective on the sorbent phase thermodynamics of reversible chemical hydrogen storage systems.</p>


2021 ◽  
Author(s):  
Roland Hermann Pawelke

<p>The relative volume change of reversible metal hydrides upon hydrogenation is determined by means of the van’t Hoff reaction entropy and STP ideal gas parameters. This method allows insight into the requirements to metal hydride formation, outlined by example of Ti-NaAlH<sub>4</sub>. This work presents a timeless perspective on the sorbent phase thermodynamics of reversible chemical hydrogen storage systems.</p>


The statistics of the rectangular lattice with first and second neighbour interactions is discussed in detail. Several terms of the low-temperature series for the partition function are obtained for the case when the interactions are ferromagnetic, and for the ‘no-field’ lattice reciprocal transformations are used to transform to series valid for antiferromagnetic interactions. The transition points for different signs and magnitudes of the interaction energies are estimated. An exceptional value of the ratio of the first and second interaction energies is found for which the lattice has no transition point and long-range order offers no energy advantage. The series are used to predict the behaviour of the first derivatives of the partition function, and the results are applied to models of a ferromagnet, binary alloy, antiferromagnet and adsorbed monolayer.


2011 ◽  
Vol 467-469 ◽  
pp. 383-388
Author(s):  
Xin Cai

Ordinary differential equation with periodical boundary value and small parameter multiplied in the highest derivative was considered. The solution of the problem has boundary layers, which is thin region in the neighborhood of the boundary of the domain. Firstly, the properties of boundary layer were discussed. The solution was decomposed into the smooth component and the singular component. The derivatives of the smooth component and the singular component were estimated. Secondly, mesh partition techniques were presented according to one transition point method and multi-transition points method. Thirdly numerical methods based on non-equidistant mesh partition were presented to solve the problem. Finally error estimations were given for both computational methods.


2021 ◽  
Author(s):  
Roland Hermann Pawelke

<p>The relative volume expansion of reversible metal hydride crystals upon formation is determined by means of the van’t Hoff reaction entropy and STP ideal gas parameters, the development of this approach leads to a general method for calculating metal hydride single-crystal density. These results allow highlighting the pressure requirement to hydride phase formation, shown by the example of Ti-NaAlH<sub>4</sub>.</p>


Author(s):  
J. J. Laidler ◽  
B. Mastel

One of the major materials problems encountered in the development of fast breeder reactors for commercial power generation is the phenomenon of swelling in core structural components and fuel cladding. This volume expansion, which is due to the retention of lattice vacancies by agglomeration into large polyhedral clusters (voids), may amount to ten percent or greater at goal fluences in some austenitic stainless steels. From a design standpoint, this is an undesirable situation, and it is necessary to obtain experimental confirmation that such excessive volume expansion will not occur in materials selected for core applications in the Fast Flux Test Facility, the prototypic LMFBR now under construction at the Hanford Engineering Development Laboratory (HEDL). The HEDL JEM-1000 1 MeV electron microscope is being used to provide an insight into trends of radiation damage accumulation in stainless steels, since it is possible to produce atom displacements at an accelerated rate with 1 MeV electrons, while the specimen is under continuous observation.


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