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 Li2NdAs2 (Materials Project id mp-7779)

        69       28       32       -2        0        0  
        28       69       32        2        0        0  
        32       32       62        0        0        0  
        -2        2        0       15        0        0  
         0        0        0        0       15       -2  
         0        0        0        0       -2       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 42.667 GPaEV = 45.488 GPaGV = 17.2 GPaνV = 0.32231
ReussKR = 42.645 GPaER = 44.268 GPaGR = 16.68 GPaνR = 0.32699
HillKH = 42.656 GPaEH = 44.879 GPaGH = 16.94 GPaνH = 0.32465

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
14.298 GPa 14.696 GPa 20.702 GPa 30.979 GPa 41.304 GPa 128.02 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 38.814 GPa 51.706 GPa 7.5643 TPa–1 8.3207 TPa–1 14.298 GPa 21.099 GPa0.196030.43659Value
Anisotropy 1.332 1.1000 1.476 2.2271Anisotropy
Axis -0.5868
0.3459
0.7322
0.0000
0.9709
0.2396
-0.5000
0.8660
0.0000
0.0000
0.0000
1.0000
-0.0000
0.3310
0.9436
0.7274
0.6456
0.2324
0.0000
0.8743
0.4853
-0.0002
0.7081
0.7061
Axis
-1.0000
0.0000
-0.0000
-0.6844
0.7072
0.1773
-1.0000
0.0001
-0.0000
0.0005
0.7061
-0.7081
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