Dislocation Contribution to the Elastic Constants of Body-Centered Cubic Crystals

1962 ◽  
Vol 127 (2) ◽  
pp. 501-502 ◽  
Author(s):  
Bal Krishna Agrawal ◽  
G. S. Verma
Keyword(s):  
Elastic Constants ◽  
Body Centered Cubic ◽  
Cubic Crystals

The dislocations contrast factors of cubic crystals in the Zener constant range between zero and unity

2002 ◽  
Vol 17 (2) ◽  
pp. 104-111 ◽  
Author(s):  
I. C. Dragomir ◽  
T. Ungár
Keyword(s):  
Elastic Constants ◽  
Elastic Anisotropy ◽  
Profile Analysis ◽  
Anisotropy Constant ◽  
Diffraction Peak ◽  
Polycrystalline Materials ◽  
Ionic Crystals ◽  
Strain Anisotropy ◽  
Cubic Crystals ◽  
Lattice Distortions

Diffraction peak profiles broaden due to the smallness of crystallites and the presence of lattice defects. Strain broadening of powders of polycrystalline materials is often anisotropic in terms of the hkl indices. This kind of strain anisotropy has been shown to be well interpreted assuming dislocations as one of the major sources of lattice distortions. The knowledge of the dislocation contrast factors are inevitable for this interoperation. In a previous work the theoretical contrast factors were evaluated for cubic crystals for elastic constants in the Zener constant range 0.5≤Az≤8. A large number of ionic crystals and many refractory metals have elastic anisotropy, Az, well below 0.5. In the present work the contrast factors for this lower anisotropy-constant range are investigated. The calculations and the corresponding peak profile analysis are tested on ball milled PbS and Nb and nanocrystalline CeO2.

FIRST-PRINCIPLES HIGH-PRESSURE ELASTIC AND THERMODYNAMIC PROPERTIES OF TANTALUM

2011 ◽  
Vol 25 (10) ◽  
pp. 1393-1407 ◽  
Author(s):  
JING-HE WU ◽  
XIAN-LIN ZHAO ◽  
YOU-LIN SONG ◽  
GUO-DONG WU
Keyword(s):  
Thermodynamic Properties ◽  
Elastic Constants ◽  
First Principles ◽  
Equations Of State ◽  
Debye Model ◽  
Thermal Expansivity ◽  
Orbital Method ◽  
Full Potential ◽  
Body Centered Cubic ◽  
Theoretical Results

The all-electron full-potential linearized muffin-tin orbital method, by means of quasi-harmonic Debye model, is applied to investigate the elastic constant and thermodynamic properties of body-centered-cubic tantalum (bcc Ta). The calculated elastic constants of bcc Ta at 0 K is consistent with the previous experimental and theoretical results. Our calculations give the correct trends for the pressure dependence of elastic constants. By using the convenient quasi-harmonic Debye model, we refined the thermal equations of state. The thermal expansivity and some other thermal properties agree well with the previous experimental and theoretical results.

Elastic constants of body-centered-cubic cobalt films

1994 ◽  
Vol 49 (24) ◽  
pp. 17319-17324 ◽  
Author(s):  
S. Subramanian ◽  
R. Sooryakumar ◽  
G. A. Prinz ◽  
B. T. Jonker ◽  
Y. U. Idzerda
Keyword(s):  
Elastic Constants ◽  
Body Centered Cubic ◽  
Cobalt Films

Elastic constants of cubic crystals

2014 ◽  
Vol 95 ◽  
pp. 592-599 ◽  
Author(s):  
M. Jamal ◽  
S. Jalali Asadabadi ◽  
Iftikhar Ahmad ◽  
H.A. Rahnamaye Aliabad
Keyword(s):  
Elastic Constants ◽  
Cubic Crystals
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