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 Ba3In2O5F2 (Materials Project id mp-21445)

       139       80       56        0        0        0  
        80      139       56        0        0        0  
        56       56      109        0        0        0  
         0        0        0       31        0        0  
         0        0        0        0       31        0  
         0        0        0        0        0       53  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 85.667 GPaEV = 94.73 GPaGV = 36 GPaνV = 0.3157
ReussKR = 82.624 GPaER = 90.004 GPaGR = 34.132 GPaνR = 0.31845
HillKH = 84.146 GPaEH = 92.368 GPaGH = 35.066 GPaνH = 0.31705

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
31 GPa 31 GPa 53 GPa 59 GPa 67.579 GPa 260.42 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 79.5 GPa 127.98 GPa 3.0115 TPa–1 6.0799 TPa–1 29.5 GPa 53 GPa0.20040.46475Value
Anisotropy 1.61 2.0189 1.797 2.3192Anisotropy
Axis 0.5175
-0.0000
0.8557
0.7071
0.7071
0.0000
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.7071
0.7071
-0.0000
1.0000
-0.0000
-0.0000
0.6247
0.6248
0.4684
-1.0000
-0.0000
0.0000
Axis
-0.7071
-0.7071
0.0000
0.0000
1.0000
-0.0000
-0.7071
0.7071
-0.0000
0.0000
-1.0000
-0.0000
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