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 Mn(CrSe2)2 (Materials Project id mp-1025180)

        66       30       21        0       -1        0  
        30      113       31        0       -7        0  
        21       31       92        0        6        0  
         0        0        0       34        0       -8  
        -1       -7        6        0       37        0  
         0        0        0       -8        0       23  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 48.333 GPaEV = 77.432 GPaGV = 31.4 GPaνV = 0.23299
ReussKR = 45.271 GPaER = 70.733 GPaGR = 28.531 GPaνR = 0.2396
HillKH = 46.802 GPaEH = 74.085 GPaGH = 29.965 GPaνH = 0.23618

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
18.792 GPa 34.667 GPa 38.208 GPa 50.22 GPa 72.057 GPa 151.06 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 53.104 GPa 96.985 GPa 3.9729 TPa–1 11.118 TPa–1 18.792 GPa 41.094 GPa0.0142190.50733Value
Anisotropy 1.826 2.7985 2.187 35.6805Anisotropy
Axis -0.7754
0.5840
-0.2402
0.2746
0.8530
-0.4439
0.0000
1.0000
0.0000
0.9999
-0.0000
-0.0100
0.8850
-0.0002
0.4656
-0.0026
0.4180
-0.9084
-0.7387
0.4659
0.4871
0.2602
0.6353
0.7271
Axis
0.0002
1.0000
-0.0000
-0.6846
-0.6630
-0.3031
0.3619
-0.3356
0.8697
-0.6539
0.6700
-0.3514
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