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Materials Science · LeMaterial

LeMat-Rho

Electronic charge densities, Bader charges, and r2SCAN DFT properties for 69,117 inorganic crystal structures.

What LeMat-Rho is

LeMat-Rho is a computational dataset containing 69,117 inorganic crystal structures evaluated with density functional theory (DFT) using the r2SCAN meta-GGA (regularised-restored strongly constrained and appropriately normed meta-generalised gradient approximation) functional. Developed under the LeMaterial framework, it provides electronic charge densities, Bader partial charges, interatomic forces, stress tensors, and total energies.

The dataset unifies inorganic structures imported from three primary repositories: AFLOW (38,925 structures), the Open Quantum Materials Database (OQMD, 29,611 structures), and the Materials Project (581 structures). It supplies high-fidelity electronic structure outputs designed for training machine learning potentials and charge-density prediction models.

How it was made

Each crystal structure is processed through a standardised four-stage pipeline executed in the Vienna Ab initio Simulation Package (VASP). The workflow begins with PreStaticMaker for an initial single-point run on the unrelaxed cell, followed by two consecutive geometry relaxation stages (RelaxMaker_1 and RelaxMaker_2) using r2SCAN. The final stage, StaticMaker, runs a single-point calculation without ionic motion (NSW=0) to generate the reported energies, forces, stress tensors, and volumetric charge densities (CHGCAR, AECCAR0, AECCAR1, and AECCAR2).

Bader charges and atomic volumes are computed using the Henkelman group Bader charge analysis algorithm, using the sum of the core (AECCAR0) and valence (AECCAR2) charge densities as the reference. Charge densities are provided either as lossy, Gaussian-smoothed arrays compressed via pyrho or as unsmoothed arrays resampled directly from raw CHGCAR files using Fourier interpolation onto a fixed or adaptive spatial grid.

Key facts

Total materials
69,117
DFT functional
r2SCAN
Underlying sources
AFLOW (38,925), OQMD (29,611), Materials Project (581)
Bader charge coverage
59,613 materials (86.2%)
Unsmoothed density coverage
65,960 materials
File format
Parquet
Grid options
15×15×15 (default) or adaptive
DOI
10.57967/hf/11069

What you can use it for

Charge density prediction
Train machine learning models to infer real-space electronic charge densities from crystal lattice geometry and atomic numbers.
Machine learning interatomic potential development
Parameterise and benchmark force fields and neural network potentials using uniform r2SCAN total energies, forces, and stress tensors.
Atomic charge and oxidation analysis
Investigate electron transfer, oxidation states, and local bonding across diverse crystal chemistries using Bader net charges and volumes.

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 LeMaterial/LeMat-Rho at the moment you asked. Nothing is cached or stored — every row above came from that request.

How the columns are distributed

Over 19,750 rows of default/train

bader_atomic_volume

list
min
1
median
4
mean
4.20
max
16

14.0% empty

bader_charges

list
min
1
median
4
mean
4.20
max
16

14.0% empty

bawl_fingerprint

string_text
min
37
median
45
mean
44.85
max
51

cartesian_site_positions

list
min
1
median
4
mean
4.20
max
16

charge_density

list
min
3,375
median
3,375
mean
3,375
max
3,375

4.7% empty

charge_density_grid_shape

list
min
3
median
3
mean
3
max
3

chemical_formula_anonymous

string_label
  • A2BC54%
  • A3BC24%
  • ABC9%

chemical_formula_descriptive

string_text
min
1
median
8
mean
8.02
max
14

chemical_formula_reduced

string_text
min
1
median
6
mean
6.01
max
10

compressed_aeccar0

string_text
min
17,355
median
65,876
mean
65919.51
max
75,803

4.7% empty

compressed_aeccar1

string_text
min
64,796
median
65,936
mean
65993.52
max
67,129

4.5% empty

compressed_aeccar2

string_text
min
64,847
median
65,959
mean
66018.75
max
67,121

4.7% empty

compressed_charge_density

string_text
min
64,820
median
65,907
mean
65968.90
max
67,131

4.7% empty

cross_compatibility

bool
  • True100%

dimension_types

list
min
3
median
3
mean
3
max
3

dos_ef

float

No distribution reported for this column.

100.0% empty

elements

list
min
1
median
3
mean
2.94
max
5

elements_ratios

list
min
1
median
3
mean
2.94
max
5

energy

float
min
-275.26
median
-62.60
mean
-69.49
max
-6.23

energy_corrected

float
min
-275.26
median
-62.60
mean
-69.49
max
-6.23

forces

list
min
1
median
4
mean
4.20
max
16

functional

string_label
  • r2scan100%

immutable_id

string_text
min
12
median
12
mean
12
max
12

last_modified

datetime

lattice_vectors

list
min
3
median
3
mean
3
max
3

nelements

int
min
1
median
3
mean
2.94
max
5

nperiodic_dimensions

int
min
3
median
3
mean
3
max
3

nsites

int
min
1
median
4
mean
4.20
max
16

space_group_it_number

int
min
1
median
221
mean
171.10
max
229

species

string_text
min
138
median
418
mean
409.64
max
700

species_at_sites

list
min
1
median
4
mean
4.20
max
16

stress_tensor

list
min
3
median
3
mean
3
max
3

total_magnetization

float

No distribution reported for this column.

100.0% empty

Strengths and limits

Good at

  • Uniform calculation of all structures at the r2SCAN meta-GGA functional level across relaxation and static stages.
  • Provides both lossy Gaussian-smoothed representations and unsmoothed Fourier-interpolated 3D charge density arrays.

Watch out for

  • Approximately 13.8% of entries lack Bader charges due to missing upstream AECCAR files.
  • Fourier interpolation of the unsmoothed charge density can introduce minor negative values near atomic cores, particularly on 15×15×15 grids.
  • DDEC6 partial charges are currently unpopulated across the dataset.
  • Lossy-compressed charge densities are smoothed with a Gaussian filter and cannot be used for quantitative charge integration.

Questions

Can I look inside LeMat-Rho 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 LeMat-Rho under?

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

What is the difference between the two charge density columns?

The compressed_charge_density column stores JSON-encoded grids smoothed with a Gaussian filter via pyrho, suitable for feature extraction. The charge_density column contains unsmoothed float32 arrays derived through Fourier interpolation directly from CHGCAR files, differing from the smoothed version by roughly 15% normalized mean absolute error.

Why are energy_corrected values identical to energy values?

Energy corrections such as the Materials Project MP2020 scheme are parameterised specifically for the PBE functional and do not apply to r2SCAN calculations, meaning uncorrected and corrected energy values are equal.

Why are some Bader charges missing?

Roughly 13.8% of the materials lack Bader charges because their required AECCAR calculation outputs were absent in the upstream source data.

How to cite it

Curtarolo et al., Computational Materials Science 58, 218–226 (2012); Saal et al., JOM 65, 1501–1509 (2013); Kirklin et al., npj Computational Materials 1, 15010 (2015); Jain et al., APL Materials 1, 011002 (2013); Henkelman et al., Computational Materials Science 36, 354–360 (2006); Furness et al., J. Phys. Chem. Lett. 11, 8208–8215 (2020); Shen, J.-X. et al., Sci Data, 9(661), 1–7 (2022), doi: 10.1038/s41597-022-01746-z

Written from LeMat-Rho'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.