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 RbCu3S2 (Materials Project id mp-10985)

        85       26       33        0      -13        0  
        26       88       21        0        2        0  
        33       21       57        0        0        0  
         0        0        0       13        0        6  
       -13        2        0        0       28        0  
         0        0        0        6        0       20  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 43.333 GPaEV = 56.886 GPaGV = 22.2 GPaνV = 0.28121
ReussKR = 41.414 GPaER = 46.874 GPaGR = 17.872 GPaνR = 0.31136
HillKH = 42.374 GPaEH = 51.924 GPaGH = 20.036 GPaνH = 0.29577

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
9.5538 GPa 22.234 GPa 23.446 GPa 38.038 GPa 65.171 GPa 132.56 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 29.475 GPa 92.126 GPa 5.1854 TPa–1 12.061 TPa–1 9.5538 GPa 35.557 GPa-0.00645470.73381Value
Anisotropy 3.126 2.3260 3.722Anisotropy
Axis 0.2742
0.6535
-0.7055
0.8725
-0.0000
-0.4886
-0.9893
-0.0001
0.1457
-0.1457
0.0000
-0.9893
-0.4980
-0.0000
0.8672
0.6041
0.7071
-0.3675
0.4701
0.5184
0.7143
-0.8091
0.5459
0.2174
Axis
-0.0000
-1.0000
-0.0000
-0.6042
0.7071
0.3675
-0.8646
0.4333
0.2545
-0.3068
-0.7081
0.6360
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