Demonstration only. Corollary is a non-commercial research demo — no warranty, no support, not for commercial use or clinical decisions. Read the disclaimer

All datasets

Mechanical Properties · foundry-ml

elastic_tensor_v1-1

A tabular dataset of density functional theory elastic tensors and moduli for 1,181 inorganic crystalline compounds.

What elastic_tensor_v1-1 is

elastic_tensor_v1-1 provides quantum mechanical elastic properties calculated via density functional theory (DFT) for 1,181 inorganic crystalline materials. Compiled by Maarten de Jong, Wei Chen, Thomas Angsten, Anubhav Jain, Mark Asta, and colleagues, the resource addresses the scarcity of consistent mechanical property data needed to screen and design crystalline compounds.

Understanding the mechanical deformation of solids under stress is fundamental to structural materials discovery, coatings, and geophysics. By cataloguing anisotropic compliance and stiffness tensors alongside standard polycrystalline bulk and shear moduli, the collection enables researchers to benchmark computational methods and train statistical models on crystallographic features.

How it was made

The dataset tabulates DFT calculations for crystallographic structures sourced alongside Materials Project identifiers. Each entry pairs structural inputs — including chemical formula, unit cell site count, space group number, relaxed cell volume, and representations in CIF, POSCAR, and Pymatgen structure formats — with calculated mechanical response metrics.

Target variables include full 3x3x3x3 elastic stiffness and compliance tensors (measured in GPa, including IEEE standard orientations), Voigt, Reuss, and Voigt-Reuss-Hill (VRH) bounds for bulk (K) and shear (G) moduli, Poisson's ratio, and elastic anisotropy parameters. The calculation parameters also record the DFT k-point density.

Key facts

Number of compounds
1,181
Modality
Tabular and crystal structure text
Primary input representations
CIF, POSCAR, Pymatgen structures, chemical formula, space group
Primary targets
Elastic tensors, compliance tensors, bulk moduli, shear moduli, Poisson's ratio
Format
Parquet
Calculation method
Density functional theory (DFT)
DOI
10.18126/9fg1-528u

What you can use it for

Predicting polycrystalline moduli
Train tabular regression models or graph neural networks to predict Voigt-Reuss-Hill bulk and shear moduli directly from crystal structures.
Full elastic tensor estimation
Learn anisotropic compliance and elastic stiffness tensor components under standardized IEEE coordinate frames from atomic geometries.
Mechanical screening of inorganic crystals
Evaluate structural stability, ductility indicators such as Poisson's ratio, and elastic anisotropy across inorganic chemical spaces.

Explore the data

The schema, real rows, full-text search and a SQL filter — read in your browser, nothing downloaded.

Explore

Read the real rows without downloading anything

Reading rows…

LiveRead from foundry-ml/elastic_tensor_v1-1 at the moment you asked. Nothing is cached or stored — every row above came from that request.

How the columns are distributed

Over 1,181 rows of default/train

G_Reuss

float
min
1.87
median
56.26
mean
64.05
max
520.85

G_VRH

float
min
2.72
median
59.74
mean
67.54
max
522.92

G_Voigt

float
min
3.57
median
62.64
mean
71.04
max
525.00

K_Reuss

float
min
4.71
median
129.98
mean
135.17
max
435.66

K_VRH

float
min
6.48
median
130.38
mean
136.26
max
435.66

K_Voigt

float
min
6.48
median
131.85
mean
137.35
max
435.66

cif

string_text
min
1,553
median
2,000
mean
2132.28
max
9,723

compliance_tensor

string_text
min
450
median
450
mean
499.93
max
606

elastic_anisotropy

float
min
1.0e-5
median
0.36
mean
2.15
max
397.30

elastic_tensor

string_text
min
306
median
458
mean
496.00
max
606

elastic_tensor_original

string_text
min
306
median
458
mean
492.48
max
606

formula

string_text
min
1
median
5
mean
5.02
max
11

material_id

string_text
min
4
median
8
mean
7.46
max
9

nsites

int
min
2
median
10
mean
12.43
max
152

poisson_ratio

float
min
0.04
median
0.29
mean
0.29
max
0.47

poscar

string_text
min
156
median
411
mean
482.54
max
4,675

space_group

int
min
4
median
193
mean
163.40
max
229

structure

string_text
min
226
median
519
mean
625.67
max
6,191

volume

float
min
15.85
median
168.92
mean
207.18
max
2398.91

Strengths and limits

Good at

  • Provides complete fourth-rank elastic and compliance tensor matrices alongside aggregated polycrystalline moduli.
  • Includes standard structural representations across multiple conventions, including CIF, POSCAR, and Pymatgen objects.
  • Contains exact lower, upper, and average bounds (Voigt, Reuss, and Hill) for shear and bulk deformation response.

Watch out for

  • Limited to a cohort of 1,181 inorganic crystalline compounds.
  • Restricted to static 0 K density functional theory simulations without direct experimental temperature or defect effects.
  • The data is organized as a single training split, requiring researchers to construct custom validation and test partitions.

Questions

Can I look inside elastic_tensor_v1-1 without downloading it?

Yes. This page reads its schema, real rows and per-column statistics in the browser, with full-text search and a SQL filter. Nothing is downloaded to your machine.

What licence is elastic_tensor_v1-1 under?

Its authors declare cc-by-4.0. Read the terms on the original page before reusing the data.

What mechanical properties are included as targets?

Target columns include full elastic and compliance tensors in GPa, Voigt, Reuss, and Hill averages for bulk and shear moduli, Poisson's ratio, and measures of elastic anisotropy.

Which crystal structure formats are provided?

Materials are represented using Pymatgen structure objects, Crystallographic Information Files (CIF), and VASP POSCAR text representations.

What is the source of the crystal identifiers?

Each material entry includes a material_id corresponding to its Materials Project identifier.

How to cite it

de Jong, Maarten and Chen, Wei and Angsten, Thomas and Jain, Anubhav and Notestine, Randy and Gamst, Anthong and Sluiter, Marcel and Ande, Chaitanya Krishna and van der Zwaag, Sybrand and Plata, Jose J. and Toher, Cormac and Curtarolo, Stefano and Ceder, Gerbrand and Persson, Kristin A. and Asta, Mark. Charting the complete elastic properties of inorganic crystalline compounds. Materials Data Facility, 2022. https://doi.org/10.18126/9fg1-528u

Written from elastic_tensor_v1-1's own dataset card. Statements citing a figure that does not appear there are removed before publication. Licence and running details come from our registry.