ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and Fran├žois-Xavier Coudert at CNRS / Chimie ParisTech.
If you use the software in published results (paper, conference, etc.), please cite the corresponding paper (J. Phys. Condens. Matter, 2016, 28, 275201) and give the website URL.

ELATE is open source software. Any queries or comments are welcome at

Summary of the properties

Input: stiffness matrix (coefficients in GPa) of U(Cr3P2)2 (Materials Project id mp-29005)

       258       42      124        0        0        0  
        42      258      124        0        0        0  
       124      124      210        0        0        0  
         0        0        0      130        0        0  
         0        0        0        0      130        0  
         0        0        0        0        0      108  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 145.11 GPaEV = 249.22 GPaGV = 102.67 GPaνV = 0.21375
ReussKR = 143.96 GPaER = 206.96 GPaGR = 82.099 GPaνR = 0.26041
HillKH = 144.54 GPaEH = 228.47 GPaGH = 92.383 GPaνH = 0.23655

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
73.956 GPa 108 GPa 130 GPa 130 GPa 216 GPa 436.04 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 107.49 GPa 286.96 GPa 1.6125 TPa–1 2.6668 TPa–1 44.318 GPa 130 GPa-0.168950.69024Value
Anisotropy 2.67 1.6538 2.933Anisotropy
Axis 0.0000
0.0000
1.0000
0.7846
0.0996
0.6120
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.4717
0.5268
0.7071
0.0000
0.0000
1.0000
0.7700
0.6380
-0.0000
-0.1491
0.9888
0.0000
Axis
0.4717
0.5268
-0.7071
0.7660
0.6428
-0.0000
-0.6380
0.7700
-0.0000
0.0000
0.0000
-1.0000
Second axis

Spatial dependence of Young's modulus



Young's modulus in (xy) plane

Young's modulus in (xz) plane

Young's modulus in (yz) plane

Spatial dependence of linear compressibility



linear compressibility in (xy) plane

linear compressibility in (xz) plane

linear compressibility in (yz) plane

Spatial dependence of shear modulus



Shear modulus in (xy) plane

Shear modulus in (xz) plane

Shear modulus in (yz) plane

Spatial dependence of Poisson's ratio



Poisson's ratio in (xy) plane

Poisson's ratio in (xz) plane

Poisson's ratio in (yz) plane