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(ZnAs)2 (Materials Project id mp-7427)

        74       36       28        0        0        0  
        36      101       31        0        0        0  
        28       31      100        0        0        0  
         0        0        0       27        0        0  
         0        0        0        0       34        0  
         0        0        0        0        0       24  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 51.667 GPaEV = 73.288 GPaGV = 29 GPaνV = 0.26359
ReussKR = 50.606 GPaER = 71.211 GPaGR = 28.136 GPaνR = 0.26547
HillKH = 51.136 GPaEH = 72.25 GPaGH = 28.568 GPaνH = 0.26452

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
24 GPa 27 GPa 34 GPa 48.091 GPa 70.429 GPa 156.48 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 57.993 GPa 85.828 GPa 4.9019 TPa–1 8.8585 TPa–1 24 GPa 34 GPa0.132420.41294Value
Anisotropy 1.48 1.8072 1.417 3.1185Anisotropy
Axis 1.0000
0.0000
0.0000
0.1744
-0.0000
0.9847
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
0.0000
1.0000
-0.0000
0.0000
0.0000
1.0000
0.7561
-0.0005
0.6545
0.0000
1.0000
0.0000
Axis
-1.0000
0.0000
-0.0000
-1.0000
0.0000
0.0000
0.6545
0.0002
-0.7561
-1.0000
0.0000
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