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 K3AgSn3Se8 (Materials Project id mp-571594)

        23        7        8        0        0        0  
         7       23        8        0        0        0  
         8        8       47        0        0        0  
         0        0        0        5        0        0  
         0        0        0        0        5        0  
         0        0        0        0        0        7  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 15.444 GPaEV = 20.612 GPaGV = 8.0667 GPaνV = 0.27757
ReussKR = 13.935 GPaER = 17.447 GPaGR = 6.7555 GPaνR = 0.29133
HillKH = 14.69 GPaEH = 19.033 GPaGH = 7.4111 GPaνH = 0.28406

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
5 GPa 5 GPa 7 GPa 16 GPa 24.349 GPa 52.651 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 14.625 GPa 42.733 GPa 10.92 TPa–1 30.421 TPa–1 5 GPa 11.701 GPa0.145190.55104Value
Anisotropy 2.922 2.7857 2.34 3.7954Anisotropy
Axis -0.5653
0.5654
-0.6007
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.5000
0.8660
0.0000
0.0000
0.0000
1.0000
0.7071
-0.0003
0.7071
-0.6430
-0.0000
-0.7659
0.5998
0.0001
0.8002
Axis
-0.7660
0.6428
-0.0000
0.7071
-0.0005
-0.7071
0.0000
-1.0000
0.0000
0.8002
0.0003
-0.5998
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