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 CuAs2 (Materials Project id mp-21859)

       109       82       79        0        0        0  
        82      151       37        0        0        0  
        79       37      130        0        0        0  
         0        0        0       14        0        0  
         0        0        0        0       30        0  
         0        0        0        0        0       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 87.333 GPaEV = 71.455 GPaGV = 26.2 GPaνV = 0.36364
ReussKR = 86.52 GPaER = 55.602 GPaGR = 19.959 GPaνR = 0.39289
HillKH = 86.926 GPaEH = 63.609 GPaGH = 23.08 GPaνH = 0.37804

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14 GPa 23 GPa 24.102 GPa 30 GPa 103.17 GPa 262.72 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 35.776 GPa 90.251 GPa 2.4935 TPa–1 5.0282 TPa–1 12.486 GPa 51.144 GPa-0.251160.91371Value
Anisotropy 2.523 2.0166 4.096Anisotropy
Axis 1.0000
0.0000
0.0000
0.5678
0.0000
0.8231
1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
-0.7071
0.4687
0.5295
0.0001
0.7071
-0.7071
-0.0002
0.0001
1.0000
0.0000
0.0000
1.0000
Axis
-0.7071
-0.4686
-0.5295
0.0002
-0.7071
-0.7071
0.0000
-1.0000
0.0001
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