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 Ca3W3N5 (Materials Project id mp-1029782)

       217       78       87      -13        7        7  
        78      174       61        5       -9        4  
        87       61      168      -11       -4        9  
       -13        5      -11       42       -4      -14  
         7       -9       -4       -4       59       -8  
         7        4        9      -14       -8       47  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 112.33 GPaEV = 134.7 GPaGV = 51.8 GPaνV = 0.30015
ReussKR = 107.95 GPaER = 121.31 GPaGR = 46.204 GPaνR = 0.31271
HillKH = 110.14 GPaEH = 128.02 GPaGH = 49.002 GPaνH = 0.30628

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
27.67 GPa 52.263 GPa 61.612 GPa 103.32 GPa 119.7 GPa 342.43 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 79.744 GPa 178.76 GPa 1.6675 TPa–1 4.1554 TPa–1 27.625 GPa 69.189 GPa0.036720.62494Value
Anisotropy 2.242 2.4919 2.505 17.0191Anisotropy
Axis 0.4677
0.6235
0.6265
-0.8789
0.1306
-0.4587
0.9467
0.2736
-0.1699
-0.0501
0.6464
0.7614
-0.6131
0.1236
-0.7803
0.4364
0.5825
0.6858
-0.7011
0.7131
-0.0032
0.9383
0.3355
0.0839
Axis
-0.1173
-0.9910
-0.0648
-0.7131
0.6886
-0.1311
-0.3985
-0.3881
0.8310
-0.1970
0.7180
-0.6676
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