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 Ba(MnAs)2 (Materials Project id mp-15608)

       126       50       44        0        0        0  
        50      126       44        0        0        0  
        44       44       93        0        0        0  
         0        0        0       46        0        0  
         0        0        0        0       46        0  
         0        0        0        0        0       58  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 69 GPaEV = 108.45 GPaGV = 43.8 GPaνV = 0.23804
ReussKR = 67.183 GPaER = 103.47 GPaGR = 41.609 GPaνR = 0.24332
HillKH = 68.091 GPaEH = 105.96 GPaGH = 42.705 GPaνH = 0.24064

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
46 GPa 46 GPa 58 GPa 59.705 GPa 76 GPa 209.29 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 71 GPa 125.49 GPa 3.9213 TPa–1 7.0423 TPa–1 31.82 GPa 58 GPa0.0733550.43841Value
Anisotropy 1.767 1.7959 1.823 5.9766Anisotropy
Axis 0.0000
0.0000
1.0000
0.6738
0.6737
0.3035
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
1.0000
-0.0002
0.0001
0.7071
0.7071
-0.0000
0.7071
0.7071
0.0000
Axis
0.7071
-0.0005
-0.7071
0.0002
1.0000
-0.0000
-0.7071
0.7071
0.0000
0.0005
-0.0005
-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