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 CaSn(BO3)2 (Materials Project id mp-14398)

       239       66       52       17        8        0  
        66      239       52      -17       -8        0  
        52       52       96        0        0        0  
        17      -17        0       47        0       -8  
         8       -8        0        0       47       17  
         0        0        0       -8       17       87  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 101.56 GPaEV = 156.89 GPaGV = 63.133 GPaνV = 0.24252
ReussKR = 82.602 GPaER = 127.63 GPaGR = 51.36 GPaνR = 0.24248
HillKH = 92.079 GPaEH = 142.26 GPaGH = 57.247 GPaνH = 0.24251

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
39.559 GPa 41.626 GPa 72.718 GPa 94.441 GPa 178.37 GPa 328.28 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 78.269 GPa 220.1 GPa 1.8432 TPa–1 8.4199 TPa–1 39.401 GPa 94.242 GPa0.0458790.58562Value
Anisotropy 2.812 4.5682 2.392 12.7645Anisotropy
Axis 0.0000
0.0000
1.0000
-0.7622
0.6059
0.2279
0.9914
0.1310
-0.0000
0.0000
0.0000
1.0000
0.0308
0.3363
0.9412
-0.3588
0.9334
0.0063
-0.6151
0.4884
0.6190
-0.9892
0.1465
-0.0003
Axis
-0.1575
-0.9283
0.3369
-0.8666
-0.3356
0.3694
-0.6218
-0.7832
0.0000
-0.0816
-0.5526
-0.8294
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