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 BaSm2CoO5 (Materials Project id mp-19248)

       228       56       48        0        0        0  
        56      201       88        0        0        0  
        48       88      231        0        0        0  
         0        0        0       79        0        0  
         0        0        0        0       35        0  
         0        0        0        0        0       39  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 116 GPaEV = 157.44 GPaGV = 61.8 GPaνV = 0.27379
ReussKR = 115.59 GPaER = 138.86 GPaGR = 53.414 GPaνR = 0.29979
HillKH = 115.8 GPaEH = 148.24 GPaGH = 57.607 GPaνH = 0.28664

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
35 GPa 39 GPa 79 GPa 124.83 GPa 185.95 GPa 349.22 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 106.78 GPa 209.53 GPa 2.5408 TPa–1 3.1155 TPa–1 35 GPa 89.257 GPa0.110560.54426Value
Anisotropy 1.962 1.2262 2.55 4.9228Anisotropy
Axis 0.6970
-0.0000
0.7171
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
0.0000
0.0000
1.0000
-0.7076
0.4435
0.5500
Axis
1.0000
0.0000
-0.0000
-0.7071
0.0002
-0.7071
-1.0000
0.0000
0.0000
-0.7056
-0.4031
-0.5828
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