scholarly journals The Room Temperature Elastic Constants of Caesium Thiocyanate

1983 ◽  
Vol 36 (1) ◽  
pp. 85 ◽  
Author(s):  
MA Irving ◽  
S Prawer ◽  
TF Smith ◽  
TR Finlayson
Keyword(s):  
Low Temperature ◽  
Bulk Modulus ◽  
Elastic Constants ◽  
Elastic Waves ◽  
Room Temperature ◽  
Elastic Stiffness ◽  
Orthorhombic Crystal ◽  
Propagation Of Elastic Waves ◽  
Limiting Value ◽  
Rigid Ion Model

The velocities of propagation of elastic waves in caesium thiocyanate have been measured along the three orthorhombic axes and normal to the (110), (011) and (101) planes using a double-transducer technique at 10 MHz. The velocities are found to be consistent with the orthorhombic crystal symmetry, and in favourable agreement with a recently published rigid-ion model calculation. The calculated elastic stiffness constants have values C11 = 18'9�0'7, C22 = 20�6�1�0, C33 = 28�1�1�6, C44 = 1'96�0'05, Css = 7�30�0�2, C66 = 3�04�0�07, C12 = 7'8�4'3, Cl3 = 14�8�4 and e23 = 6�3�4GPa. The calculated values for the adiabatic bulk modulus and the low temperature limiting value of the Debye temperature are 13�2 � 3�5 GPa and 132 K respectively

Lattice dynamical and elastic properties of BaFX (X = Cl, Br and I): Matlockite structure compounds

2019 ◽  
Vol 33 (20) ◽  
pp. 1950221 ◽  
Author(s):  
A. K. Kushwaha ◽  
S. Akbudak ◽  
A. C. Yadav ◽  
Ş. Uğur ◽  
G. Uğur
Keyword(s):  
Shear Modulus ◽  
Bulk Modulus ◽  
Young’S Modulus ◽  
Elastic Constants ◽  
Phonon Mode ◽  
Young's Modulus ◽  
Nearest Neighbors ◽  
Crystallographic Direction ◽  
Theoretical Results ◽  
Rigid Ion Model

In this study, an eleven-parameter rigid-ion model (RIM) is proposed for BaFX (X = Cl, Br and I) matlockite structure compounds. The interatomic interactions up to fourth nearest neighbors for the studied compounds are calculated. The zone-center raman and infrared phonon mode frequencies, elastic constants, bulk modulus B, shear modulus G, Young’s modulus E, Poisson’s coefficient, Debye temperature and sound velocity along [100], [110] and [001] directions have been calculated. It is observed that the studied BaFCl, BaFBr and BaFI compounds are stiffer in [100] direction than [001] crystallographic direction and the bulk modulus, shear modulus and Young’s modulus of the studied compounds decrease in the order of BaFCl [Formula: see text] BaFBr [Formula: see text] BaFI. The obtained results are compared with the theoretical and experimental results. It is observed that the obtained results agree very well with the experimental and theoretical results available in the literature.

On the propagation of elastic waves in aeolotropic media II. Media of hexagonal symmetry

1954 ◽  
Vol 226 (1166) ◽  
pp. 356-366 ◽  
Keyword(s):  
Single Crystal ◽  
Elastic Constants ◽  
Elastic Waves ◽  
Plane Waves ◽  
General Analysis ◽  
Elastic Plane ◽  
Hexagonal Symmetry ◽  
Wave Surfaces ◽  
Propagation Of Elastic Waves

The general analysis presented in part I is here adapted to obtain the velocity, inverse and wave surfaces of a medium of hexagonal symmetry. Values derived from the elastic constants of ( a ) zinc and ( b ) beryl are tabulated and graphs of sections of the surfaces have been drawn. The details of the propagation of elastic plane waves in a single crystal of either substance may be obtained from the data presented.

Effect of Cd Doping on Mechanical Properties of SrCoO3

2014 ◽  
Vol 975 ◽  
pp. 163-167 ◽  
Author(s):  
N.K. Gaur ◽  
Rasna Thakur ◽  
Rajesh K. Thakur ◽  
A.K. Nigam
Keyword(s):  
Mechanical Properties ◽  
Thermal Properties ◽  
Shear Modulus ◽  
Bulk Modulus ◽  
Elastic Properties ◽  
Elastic Constants ◽  
Anisotropy Parameter ◽  
Cd Doping ◽  
First Time ◽  
Rigid Ion Model

We have investigated the elastic and thermal properties of Sr1-xCdxCoO3 (0=x=0.1) probably for the first time by means of modified rigid ion model (MRIM). In this paper, we present the second order elastic constants (SOECs) and other elastic properties like Bulk modulus (B), Young's modulus (Y), Shear modulus (G), ̠̹̿̓̓̿̾˷̓˰̱̹͂̈́̿˰˸σ˹˼˰̵̜̱̽˷̓˰̵̵̱̱̀͂̽̈́͂˰˸m, l), transverse, longitudinal, ˰̵̷̵̱̱͆͂˰̵͇̱͆˰̵̼̳̹͉͆̿̈́˰˰˸υt, υl˼˰υm) and Anisotropy parameter (A). Here, the SOECs for Sr1-xCdxCoO3 compounds are positive and satisfy the generalized criteria for mechanically stable crystals: (C11-C12) > 0, (C11+2C12) > 0 and C44 > 0 which confirm that Sr1-xCdxCoO3 (0=x=0.1) belong to metallically bonding materials.

Analysis of elastic constants and thermal energy of ionic materials

2011 ◽  
Vol 89 (11) ◽  
pp. 1111-1117
Author(s):  
S.K. Srivastava
Keyword(s):  
Bulk Modulus ◽  
Temperature Dependence ◽  
Linear Relationship ◽  
Elastic Constants ◽  
Thermal Energy ◽  
Room Temperature ◽  
Isothermal Bulk Modulus ◽  
Volume Dependence ◽  
Ionic Materials ◽  
Different Temperatures

Expressions for the temperature dependence of elastic constants have been formulated by taking into account volume dependence of the Anderson–Grüneisen parameters. These expressions have been applied to ionic materials such as NaCl, KCl, MgO, and CaO to determine elastic constants at different temperatures. It is found that the linear relationship between isothermal bulk modulus and thermal energy (Eth) is also applicable to other elastic constants. This linear relationship is valid, starting from room temperature.

The propagation of surface elastic waves in a cubic crystal

1955 ◽  
Vol 232 (1191) ◽  
pp. 447-458 ◽  
Keyword(s):  
Rock Salt ◽  
Elastic Constants ◽  
General Result ◽  
Elastic Waves ◽  
Rayleigh Waves ◽  
Love Waves ◽  
Cubic Crystal ◽  
Free Face ◽  
Propagation Of Elastic Waves

The paper discusses the possibility of the propagation of elastic waves, analogous to Rayleigh waves or Love waves, over a (0, 0, 1) surface of a cubic crystal. An examination of symmetrical cases in which the direction of propagation is parallel to the x -axis or makes an angle of 45° with it shows that waves with amplitude falling off exponentially with distance from the free face do not exist for every set of values of the three elastic constants chosen at random. For crystals of aluminium and copper these Rayleigh-type waves do not exist, but for rock salt their existence is demonstrated both for the symmetrical cases and for an asymmetrical case. In the latter the particles describe ellipses in a plane inclined to the direction of propagation. Waves of Love type can exist only in the two symmetrical cases cited; it is shown that then the general Rayleigh-type motion degenerates into a superposition of Rayleigh waves and Love waves. It is easily seen that for all types of crystals the general result will be the same, but that the algebraical and arithmetical work involved will be extremely heavy.

scholarly journals MEASURING DISLOCATION DENSITY IN ALUMINUM WITH RESONANT ULTRASOUND SPECTROSCOPY

2009 ◽  
Vol 19 (10) ◽  
pp. 3561-3565 ◽  
Author(s):  
FELIPE BARRA ◽  
ANDRES CARU ◽  
MARIA TERESA CERDA ◽  
RODRIGO ESPINOZA ◽  
ALEJANDRO JARA ◽  
...  
Keyword(s):  
Dislocation Density ◽  
Elastic Constants ◽  
Elastic Waves ◽  
Resonant Ultrasound Spectroscopy ◽  
Resonant Ultrasound ◽  
Speed Of Propagation ◽  
Propagation Of Elastic Waves

Dislocations in a material will, when present in enough numbers, change the speed of propagation of elastic waves. Consequently, two material samples, differing only in dislocation density, will have different elastic constants, a quantity that can be measured using Resonant Ultrasound Spectroscopy. Measurements of this effect on aluminum samples are reported. They compare well with the predictions of the theory.

On the propagation of elastic waves in aeolotropic media. III. Media of cubic symmetry

1956 ◽  
Vol 236 (1206) ◽  
pp. 352-383 ◽  
Keyword(s):  
Elastic Constants ◽  
Elastic Waves ◽  
General Analysis ◽  
Reciprocal Relation ◽  
Wave Surface ◽  
Cubic Symmetry ◽  
Extensive Computation ◽  
Propagation Of Elastic Waves

The general analysis presented in part I under this title is here adapted to obtain the velocity, inverse and w ave surfaces of a medium of cubic symmetry. Using the elastic constants of ( a ) aluminium and ( b ) nickel, the co-ordinates of points on the velocity and inverse surfaces which lie in (1, 0, 0) and (1, 1, 0) planes have been calculated and plotted. The corresponding points on the wave surface, which also lie in these planes of symmetry, have been derived, but the sections of the wave surface so obtained are incomplete. The results of an extensive computation of points on the wave surface for copper are presented and from these and the reciprocal relation between inverse and w ave surfaces the nature of the wave surface is inferred. The geometrical singularities of the surface so envisaged are given physical interpretations.

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