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 YAgHg2 (Materials Project id mp-865502)

       107       95       95        0        0        0  
        95      107       95        0        0        0  
        95       95      107        0        0        0  
         0        0        0       24        0        0  
         0        0        0        0       24        0  
         0        0        0        0        0       24  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 99 GPaEV = 47.702 GPaGV = 16.8 GPaνV = 0.41969
ReussKR = 99 GPaER = 31.568 GPaGR = 10.909 GPaνR = 0.44686
HillKH = 99 GPaEH = 39.711 GPaGH = 13.855 GPaνH = 0.43315

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12 GPa 12 GPa 24 GPa 24 GPa 24 GPa 297 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 17.644 GPa 66.617 GPa 3.367 TPa–1 3.367 TPa–1 6 GPa 24 GPa-0.180691.0483Value
Anisotropy 3.776 1.0000 4Anisotropy
Axis 0.0000
0.0000
1.0000
0.5774
0.5773
-0.5774
0.2500
0.9330
0.2588
0.7934
0.0000
-0.6088
0.7071
0.0001
-0.7071
-0.0000
0.0000
1.0000
0.7071
0.0001
-0.7071
0.0000
0.7071
-0.7071
Axis
-0.7071
-0.0002
-0.7071
-0.7660
0.6428
-0.0000
-0.7071
-0.0002
-0.7071
-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