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 Sr2C(NCl)2 (Materials Project id mp-567655)

        78       28       39        0       -4        0  
        28       61       39        0        0        0  
        39       39       58        0       -2        0  
         0        0        0       19        0        4  
        -4        0       -2        0       32        0  
         0        0        0        4        0       15  

Average properties

Averaging schemeBulk modulusYoung's modulusShear modulusPoisson's ratio
VoigtKV = 45.444 GPaEV = 50.643 GPaGV = 19.267 GPaνV = 0.31427
ReussKR = 44.958 GPaER = 42.49 GPaGR = 15.825 GPaνR = 0.34248
HillKH = 45.201 GPaEH = 46.607 GPaGH = 17.546 GPaνH = 0.32815

Eigenvalues of the stiffness matrix

λ1 λ2 λ3 λ4 λ5 λ6
12.528 GPa 18.101 GPa 21.472 GPa 31.31 GPa 42.62 GPa 136.97 GPa

Variations of the elastic moduli

Young's modulusLinear compressibility Shear modulusPoisson's ratio
EminEmax βminβmaxGminGmax νminνmax
Value 26.21 GPa 76.395 GPa 5.7998 TPa–1 9.063 TPa–1 9.5606 GPa 31.749 GPa-0.021150.66337Value
Anisotropy 2.915 1.5627 3.321Anisotropy
Axis 0.0122
-0.0000
0.9999
0.8254
-0.0000
-0.5645
0.9077
0.0000
-0.4195
0.0000
1.0000
0.0000
0.1463
0.6658
-0.7317
-0.0080
-0.0000
1.0000
-0.7041
-0.0001
-0.7101
-0.5464
0.3519
0.7600
Axis
-0.1691
-0.7119
-0.6816
-1.0000
0.0000
-0.0080
0.7101
-0.0001
-0.7041
-0.4584
-0.8851
0.0803
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