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 DyB2Rh2C (Materials Project id mp-571041)

       262      180      166        0        0        0  
       180      262      166        0        0        0  
       166      166      298        0        0        0  
         0        0        0       17        0        0  
         0        0        0        0       17        0  
         0        0        0        0        0      130  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 205.11 GPaEV = 147.58 GPaGV = 53.467 GPaνV = 0.38008
ReussKR = 204.82 GPaER = 86.241 GPaGR = 30.158 GPaνR = 0.42983
HillKH = 204.97 GPaEH = 117.45 GPaGH = 41.812 GPaνH = 0.4045

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
17 GPa 17 GPa 82 GPa 124.45 GPa 130 GPa 615.55 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 58.455 GPa 258.52 GPa 1.436 TPa–1 1.7231 TPa–1 17 GPa 130 GPa-0.00568520.84013Value
Anisotropy 4.423 1.2000 7.647Anisotropy
Axis 0.7266
0.0000
0.6871
0.7071
0.7071
0.0000
0.0000
0.0000
1.0000
-0.1305
0.9914
0.0000
0.0000
0.0000
1.0000
1.0000
0.0007
0.0000
0.7071
0.7071
0.0000
-0.5529
0.5529
0.6234
Axis
-0.1736
0.9848
-0.0000
-0.0007
1.0000
0.0000
-0.7071
0.7071
0.0001
0.4408
-0.4408
0.7819
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