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 YbAgS2 (Materials Project id mp-7962)

       114       40       46        0        0        0  
        40      114       46        0        0        0  
        46       46      121        0        0        0  
         0        0        0       17        0        0  
         0        0        0        0       17        0  
         0        0        0        0        0       16  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 68.111 GPaEV = 65.551 GPaGV = 24.467 GPaνV = 0.3396
ReussKR = 67.934 GPaER = 57.674 GPaGR = 21.227 GPaνR = 0.35851
HillKH = 68.023 GPaEH = 61.639 GPaGH = 22.847 GPaνH = 0.34897

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
16 GPa 17 GPa 17 GPa 70.386 GPa 74 GPa 204.61 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 46.104 GPa 93.519 GPa 4.305 TPa–1 5.2076 TPa–1 16 GPa 35.665 GPa0.153910.588Value
Anisotropy 2.028 1.2097 2.229 3.8204Anisotropy
Axis 0.5951
0.5951
0.5400
0.0000
0.0000
1.0000
0.0000
0.0000
1.0000
0.3827
0.9239
0.0000
1.0000
-0.0000
0.0000
0.7071
-0.0000
-0.7071
-0.7561
0.0000
0.6545
0.7028
-0.0001
-0.7114
Axis
0.0000
1.0000
-0.0000
-0.7071
0.0002
-0.7071
-0.0000
-1.0000
-0.0000
-0.7114
0.0004
-0.7028
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