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 BaAg2SnS4 (Materials Project id mp-555166)

        35       23       31        0        0        0  
        23       46       27        0        0        0  
        31       27       83        0        0        0  
         0        0        0       15        0        0  
         0        0        0        0       15        0  
         0        0        0        0        0       13  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 36.222 GPaEV = 37.52 GPaGV = 14.133 GPaνV = 0.32736
ReussKR = 30.857 GPaER = 33.21 GPaGR = 12.573 GPaνR = 0.32062
HillKH = 33.539 GPaEH = 35.367 GPaGH = 13.353 GPaνH = 0.32425

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
13 GPa 15 GPa 15 GPa 15.173 GPa 33.408 GPa 115.42 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 18.939 GPa 54.12 GPa 0.75209 TPa–1 20.717 TPa–1 8.1516 GPa 16.835 GPa0.119340.74468Value
Anisotropy 2.858 27.5455 2.065 6.2399Anisotropy
Axis 1.0000
0.0000
0.0000
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
-0.0000
0.1896
0.6812
0.7071
0.0000
1.0000
0.0001
0.0000
0.0000
1.0000
Axis
-0.7071
-0.7071
0.0000
0.1900
0.6811
-0.7071
0.0000
0.0001
-1.0000
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