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
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Reading rows…
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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
floatNo 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
datetimelattice_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
floatNo 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.