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 Ho2InAg (Materials Project id mp-865297)

        82       54       54        0        0        0  
        54       82       54        0        0        0  
        54       54       82        0        0        0  
         0        0        0       33        0        0  
         0        0        0        0       33        0  
         0        0        0        0        0       33  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 63.333 GPaEV = 67.214 GPaGV = 25.4 GPaνV = 0.32312
ReussKR = 63.333 GPaER = 57.674 GPaGR = 21.389 GPaνR = 0.34823
HillKH = 63.333 GPaEH = 62.489 GPaGH = 23.394 GPaνH = 0.33555

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
28 GPa 28 GPa 33 GPa 33 GPa 33 GPa 190 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 39.118 GPa 84.35 GPa 5.2632 TPa–1 5.2632 TPa–1 14 GPa 33 GPa-0.00857230.66418Value
Anisotropy 2.156 1.0000 2.357Anisotropy
Axis 0.0000
0.0000
1.0000
-0.5774
0.5774
0.5773
0.6088
0.0000
0.7934
-0.1294
0.9830
-0.1305
0.7071
-0.0003
0.7071
0.0000
0.0000
1.0000
0.7071
-0.0002
0.7071
-0.0000
0.7071
-0.7071
Axis
0.7071
-0.0005
-0.7071
1.0000
0.0000
-0.0000
0.7071
-0.0006
-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