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 RhF3 (Materials Project id mp-2068)

        79       16       58      -27        0        0  
        16       79       58       27        0        0  
        58       58      136        0        0        0  
       -27       27        0       67        0        0  
         0        0        0        0       67      -27  
         0        0        0        0      -27       32  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 62 GPaEV = 106.75 GPaGV = 44 GPaνV = 0.21304
ReussKR = 45.867 GPaER = 63.11 GPaGR = 24.833 GPaνR = 0.27067
HillKH = 53.933 GPaEH = 85.14 GPaGH = 34.417 GPaνH = 0.2369

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
17.325 GPa 26.764 GPa 30.953 GPa 81.675 GPa 103.24 GPa 200.05 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 39.757 GPa 174.91 GPa -3.3915 TPa–1 12.597 TPa–1 16.766 GPa 81.59 GPa-0.134680.89795Value
Anisotropy 4.399 4.866Anisotropy
Axis -0.0000
0.9791
-0.2032
-0.6260
0.3621
-0.6907
0.0000
0.0000
1.0000
0.9239
0.3827
0.0000
0.6641
0.0002
-0.7476
0.4120
0.2373
0.8798
-0.7414
0.4376
-0.5087
0.0000
0.4572
-0.8894
Axis
-0.7087
0.3187
-0.6295
-0.4991
0.8666
-0.0000
-0.5163
-0.8563
0.0158
-1.0000
0.0000
-0.0000
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