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 ZnSnAs2 (Materials Project id mp-5190)

        79       39       39        0        0        0  
        39       79       39        0        0        0  
        39       39       80        0        0        0  
         0        0        0       40        0        0  
         0        0        0        0       40        0  
         0        0        0        0        0       40  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 52.444 GPaEV = 79.913 GPaGV = 32.067 GPaνV = 0.24604
ReussKR = 52.443 GPaER = 72.829 GPaGR = 28.706 GPaνR = 0.26854
HillKH = 52.444 GPaEH = 76.402 GPaGH = 30.386 GPaνH = 0.25719

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
40 GPa 40 GPa 40 GPa 40 GPa 40.665 GPa 157.34 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 53.328 GPa 95.676 GPa 6.252 TPa–1 6.4083 TPa–1 20.248 GPa 40 GPa-7.8114e-050.49371Value
Anisotropy 1.794 1.0250 1.975Anisotropy
Axis 0.0000
1.0000
0.0000
0.5761
0.5761
-0.5799
0.0000
0.0000
1.0000
0.3553
0.9347
-0.0000
0.7071
-0.0002
0.7071
-0.0000
0.0000
1.0000
0.7071
-0.0000
-0.7071
-0.7071
0.0000
-0.7071
Axis
0.7071
-0.0006
-0.7071
-0.5000
0.8660
-0.0000
-0.7071
0.0002
-0.7071
-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