ELATE: Elastic tensor analysis

Welcome to ELATE, the online tool for analysis of elastic tensors, developed by Romain Gaillac and François-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 GeSb4Te7 (Materials Project id mp-29641)

        68       16       11       -6        0        0  
        16       68       11        6        0        0  
        11       11       18        0        0        0  
        -6        6        0       12        0        0  
         0        0        0        0       12       -6  
         0        0        0        0       -6       26

Average properties

Averaging scheme	Bulk modulus	Young's modulus	Shear modulus	Poisson's ratio
Voigt	K_V = 25.556 GPa	E_V = 43.206 GPa	G_V = 17.733 GPa	ν_V = 0.21822
Reuss	K_R = 16.711 GPa	E_R = 30.252 GPa	G_R = 12.623 GPa	ν_R = 0.19827
Hill	K_H = 21.133 GPa	E_H = 36.739 GPa	G_H = 15.178 GPa	ν_H = 0.21026

Eigenvalues of the stiffness matrix

λ₁	λ₂	λ₃	λ₄	λ₅	λ₆
9.7805 GPa	10.274 GPa	14.517 GPa	28.22 GPa	53.726 GPa	87.483 GPa

Variations of the elastic moduli

	Young's modulus		Linear compressibility		Shear modulus		Poisson's ratio
	E_min	E_max	β_min	β_max	G_min	G_max	ν_min	ν_max
Value	15.119 GPa	64.473 GPa	5.5118 TPa^–1	48.819 TPa^–1	9.1521 GPa	28.22 GPa	0.010973	0.67827	Value
Anisotropy	4.264		8.8571		3.083		61.8156		Anisotropy
Axis	0.0000 0.0000 1.0000	0.8467 0.4888 -0.2102	0.9914 0.1305 0.0000	0.0000 0.0000 1.0000	-0.0002 0.8903 0.4554	0.0000 0.9379 -0.3470	0.7169 0.4139 -0.5611	1.0000 0.0015 -0.0002	Axis
					0.0003 0.4554 -0.8903	-1.0000 0.0000 0.0000	-0.5000 0.8660 -0.0000	-0.0010 0.5434 -0.8395	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