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 CrSbSe3 (Materials Project id mp-15236)

        46       19       23        0        0        0  
        19       43       17        0        0        0  
        23       17       90        0        0        0  
         0        0        0       14        0        0  
         0        0        0        0       32        0  
         0        0        0        0        0       16  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 33 GPaEV = 50.744 GPaGV = 20.4 GPaνV = 0.24372
ReussKR = 29.97 GPaER = 44.088 GPaGR = 17.567 GPaνR = 0.25482
HillKH = 31.485 GPaEH = 47.42 GPaGH = 18.984 GPaνH = 0.24898

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14 GPa 16 GPa 25.217 GPa 32 GPa 45.566 GPa 108.22 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 33.695 GPa 79.038 GPa 4.8735 TPa–1 15.658 TPa–1 12.65 GPa 32 GPa0.00255870.4442Value
Anisotropy 2.346 3.2129 2.53173.6054Anisotropy
Axis -0.0000
0.9145
0.4045
0.3586
0.0000
0.9335
0.0000
0.0000
1.0000
0.0000
1.0000
0.0000
-0.7071
0.7071
-0.0000
0.0000
0.0000
1.0000
0.7078
-0.0000
-0.7064
0.6892
0.3192
0.6505
Axis
-0.7071
-0.7071
0.0000
-1.0000
0.0000
0.0000
-0.7064
0.0002
-0.7078
-0.0682
0.9224
-0.3803
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