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 Sc3IrC4 (Materials Project id mp-570074)

       338      106      104        0       35        0  
       106      377      119        0       25        0  
       104      119      371        0       25        0  
         0        0        0      126        0        9  
        35       25       25        0      115        0  
         0        0        0        9        0      120  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 193.78 GPaEV = 303.88 GPaGV = 122.67 GPaνV = 0.23864
ReussKR = 185.8 GPaER = 298.23 GPaGR = 120.99 GPaνR = 0.23249
HillKH = 189.79 GPaEH = 301.06 GPaGH = 121.83 GPaνH = 0.23562

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
109.09 GPa 113.51 GPa 132.49 GPa 248.93 GPa 254.99 GPa 587.98 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 240.04 GPa 335.3 GPa 1.1747 TPa–1 2.5787 TPa–1 108.45 GPa 132.49 GPa0.142480.32445Value
Anisotropy 1.397 2.1952 1.222 2.2772Anisotropy
Axis -0.8122
-0.0000
0.5833
-0.4721
0.6562
-0.5887
-0.6022
-0.0000
-0.7983
-0.7983
-0.0000
0.6022
0.9841
0.0001
0.1778
0.5847
0.0001
0.8112
-0.8023
-0.0000
0.5970
-0.5784
-0.0000
-0.8158
Axis
0.1778
0.0000
-0.9841
-0.0001
1.0000
-0.0001
0.0000
-1.0000
0.0000
0.8158
-0.0000
-0.5784
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