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 BaMg2FeH8 (Materials Project id mp-643264)

       120       29       24        5        0        0  
        29      120       24       -5        0        0  
        24       24       93        0        0        0  
         5       -5        0       34        0        0  
         0        0        0        0       34        5  
         0        0        0        0        5       46  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 54.111 GPaEV = 96.019 GPaGV = 39.867 GPaνV = 0.20425
ReussKR = 53.159 GPaER = 93.097 GPaGR = 38.53 GPaνR = 0.20812
HillKH = 53.635 GPaEH = 94.559 GPaGH = 39.198 GPaνH = 0.20617

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
32.19 GPa 33.136 GPa 47.81 GPa 77 GPa 91.864 GPa 165 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 79.237 GPa 112.57 GPa 5.4309 TPa–1 7.9496 TPa–1 32.145 GPa 47.81 GPa0.0959720.292Value
Anisotropy 1.421 1.4638 1.487 3.0426Anisotropy
Axis 0.0000
0.6597
0.7516
0.8419
0.5062
0.1868
0.9916
0.1297
-0.0000
0.0000
0.0000
1.0000
0.3004
0.1754
0.9376
-0.0000
0.9403
0.3404
-0.5492
0.3216
0.7713
-0.5767
0.3458
0.7402
Axis
-0.5016
0.8651
-0.0011
-1.0000
-0.0000
0.0000
-0.5044
-0.8635
0.0009
-0.6378
0.3757
-0.6724
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