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 SrAg5 (Materials Project id mp-2410)

        84       43       43        0        0        0  
        43       84       43        0        0        0  
        43       43      114        0        0        0  
         0        0        0       22        0        0  
         0        0        0        0       22        0  
         0        0        0        0        0       21  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 60 GPaEV = 61.654 GPaGV = 23.2 GPaνV = 0.32874
ReussKR = 58.907 GPaER = 60.242 GPaGR = 22.655 GPaνR = 0.32956
HillKH = 59.454 GPaEH = 60.948 GPaGH = 22.927 GPaνH = 0.32914

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
21 GPa 22 GPa 22 GPa 41 GPa 59.342 GPa 181.66 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 56.578 GPa 84.882 GPa 3.8033 TPa–1 6.5863 TPa–1 20.5 GPa 27.063 GPa0.228160.39511Value
Anisotropy 1.5 1.7317 1.32 1.7317Anisotropy
Axis 0.9204
-0.0000
0.3910
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
1.0000
0.0000
0.0000
-0.7071
0.7071
-0.0000
0.4998
0.5002
0.7071
1.0000
0.0002
0.0000
1.0000
-0.0001
-0.0000
Axis
-0.7071
-0.7071
0.0000
0.5003
0.4997
-0.7071
-0.0000
0.0002
-1.0000
0.0001
1.0000
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