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 Sr2TaN3 (Materials Project id mp-17518)

       127       44       36        0       -0        0  
        44      144       36        0       14        0  
        36       36      120        0       12        0  
         0        0        0       28        0        6  
        -0       14       12        0       38        0  
         0        0        0        6        0       37  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 69.222 GPaEV = 98.36 GPaGV = 38.933 GPaνV = 0.26318
ReussKR = 66.64 GPaER = 92.115 GPaGR = 36.277 GPaνR = 0.26962
HillKH = 67.931 GPaEH = 95.241 GPaGH = 37.605 GPaνH = 0.26633

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
25 GPa 34.578 GPa 40 GPa 88.629 GPa 95.278 GPa 210.51 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 67.316 GPa 120.15 GPa 3.4561 TPa–1 7.1855 TPa–1 25 GPa 49.261 GPa0.0510710.47993Value
Anisotropy 1.785 2.0791 1.97 9.3973Anisotropy
Axis 0.3773
0.6388
-0.6705
0.0000
1.0000
0.0000
-0.8215
0.0000
-0.5703
-0.5703
-0.0000
0.8214
-0.4472
-0.0000
0.8944
0.6234
0.7071
-0.3337
-0.5608
-0.0000
0.8280
0.3672
0.6034
0.7078
Axis
-0.0000
-1.0000
-0.0000
-0.6234
0.7071
0.3338
0.0000
-1.0000
0.0000
0.0854
0.7359
-0.6717
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