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 YbAgSb (Materials Project id mp-9440)

        83       26       24        0        0        0  
        26       93       54        0        0        0  
        24       54       88        0        0        0  
         0        0        0       33        0        0  
         0        0        0        0       23        0  
         0        0        0        0        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 52.444 GPaEV = 66.643 GPaGV = 25.867 GPaνV = 0.28821
ReussKR = 50.967 GPaER = 62.333 GPaGR = 24.045 GPaνR = 0.29617
HillKH = 51.706 GPaEH = 64.492 GPaGH = 24.956 GPaνH = 0.29212

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
20 GPa 23 GPa 33 GPa 36.432 GPa 66.895 GPa 160.67 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 52.26 GPa 87.451 GPa 4.796 TPa–1 8.8054 TPa–1 18.224 GPa 33.85 GPa0.117560.54778Value
Anisotropy 1.673 1.8360 1.857 4.6594Anisotropy
Axis -0.6080
0.7940
0.0000
0.0000
0.7186
0.6954
0.0000
1.0000
0.0000
1.0000
0.0000
0.0000
-0.0004
0.7071
0.7071
0.7071
0.4996
-0.5003
0.0000
0.0000
1.0000
-0.0004
-0.0002
1.0000
Axis
0.0003
0.7071
-0.7071
-0.7071
0.4997
-0.5004
-1.0000
0.0000
0.0000
-0.0000
1.0000
0.0002
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