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 LiFeAs2O7 (Materials Project id mp-18878)

       139       57       81        0        9        0  
        57      142       74        0       10        0  
        81       74      180        0        7        0  
         0        0        0       54        0       11  
         9       10        7        0       63        0  
         0        0        0       11        0       48  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 98.333 GPaEV = 127.38 GPaGV = 49.6 GPaνV = 0.2841
ReussKR = 93.794 GPaER = 120.57 GPaGR = 46.888 GPaνR = 0.28575
HillKH = 96.064 GPaEH = 123.98 GPaGH = 48.244 GPaνH = 0.2849

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
39.598 GPa 61.202 GPa 62.402 GPa 76.493 GPa 86.679 GPa 299.63 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 96.812 GPa 163.29 GPa 1.5919 TPa–1 4.634 TPa–1 38.156 GPa 62.524 GPa0.149440.47831Value
Anisotropy 1.687 2.9110 1.639 3.2006Anisotropy
Axis 0.9982
-0.0000
-0.0595
0.5577
0.4999
0.6626
0.2617
0.0000
0.9652
0.9652
0.0000
-0.2616
0.6796
-0.0000
-0.7336
0.0131
0.1879
0.9821
0.8111
0.5763
-0.1002
-0.0460
0.4087
0.9115
Axis
-0.7336
0.0002
-0.6796
-0.9643
-0.2573
0.0621
-0.5736
0.7500
-0.3293
-0.8883
-0.4342
0.1498
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