Li3Cr4(PO4)6

High-Entropy Materials HEA

MP-ID: mp-1177714 · Space group: P1 (#1)

Materials Project API

Basic Information

Formula

Li3Cr4(PO4)6

MP-ID

mp-1177714

Elements

Sites

Density

2.8595

g/cm³

Volume

927.57

Å³

Cell a

9.7292

Cell b

9.8108

Cell c

9.7969

α Angle

85.87

β Angle

94.27

γ Angle

94.53

Space Group

Point Group

Crystal System

Triclinic

Bravais Lattice

Triclinic P

Stability

Packing Fraction

0.5240

X-ray Diffraction

Diffraction Pattern

Target / Radiation

X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å

Diffraction Peaks (Top 24)

2θ	d (Å)	I	hkl
12.40	7.1399	100.0	(1,-1,0)
12.40	7.1380	98.0	(0,1,1)
12.44	7.1177	94.8	(1,0,-1)
13.26	6.6782	4.5	(0,1,-1)
13.33	6.6415	11.4	(1,0,1)
13.35	6.6301	7.3	(1,1,0)
19.76	4.4923	26.6	(1,-2,0)
19.80	4.4842	26.5	(0,2,1)
19.81	4.4811	25.3	(0,1,2)
19.82	4.4792	27.0	(1,0,-2)
19.87	4.4679	23.8	(2,-1,0)
19.92	4.4580	25.1	(2,0,-1)
22.55	3.9425	3.2	(1,-2,1)
22.62	3.9312	3.5	(1,1,-2)
22.66	3.9239	4.4	(2,-1,1)
22.67	3.9229	5.9	(1,1,2)
22.67	3.9219	4.3	(1,2,1)
22.73	3.9118	3.6	(2,1,-1)
23.10	3.8508	1.3	(1,-1,2)
23.14	3.8441	1.2	(1,2,-1)
24.95	3.5690	1.6	(0,2,2)
26.70	3.3391	7.6	(0,2,-2)
26.85	3.3207	7.1	(2,0,2)
26.89	3.3150	7.8	(2,2,0)

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Energy Properties

Formation Energy/atom

-2.45770

eV/atom

Energy/atom

-7.74373

eV/atom

Energy above Hull

0.0959

eV/atom

Uncorrected Energy

-7.0820

eV/atom

Volume/atom

12.53

Å³

c/a Ratio

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

17.9981

μB

Mag. Ordering

FiM

Mag. Sites

Magnetization/Volume

0.019400

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.649

Element Family

Metalloid-Nonmetal

Solute Fraction

0.351

Interstitial Fraction

0.162

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0200

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.4801

J/mol·K

Ω Parameter

0.5092

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

39.381%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.8562

smaller = more stable mixing

VEC

4.135

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-5.986

kJ/mol; negative = exothermic mixing

Entropy Norm

0.7358

SS Former

Phase Tendency

Related Tasks

Related computation task IDs (1)

aaaefhar

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1177714

Reference Citation

The crystal structure and related material properties of Li3Cr4(PO4)6 were obtained from the Materials Project database (MP-ID: mp-1177714, database version v2026.04.13).

Literature Citation

Horton, M.K., Huck, P., Yang, R.X. et al. Accelerated data-driven materials science with the Materials Project. Nat. Mater. 24, 1522–1532 (2025). https://doi.org/10.1038/s41563-025-02272-0

BibTeX

@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

3D Crystal Structure Rendering

Loading 3D structure…

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Raw CIF Data

# generated using pymatgen
data_Li3Cr4(PO4)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.72921545
_cell_length_b   9.81075939
_cell_length_c   9.79689478
_cell_angle_alpha   85.87335473
_cell_angle_beta   94.26812155
_cell_angle_gamma   94.52592587
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li3Cr4(PO4)6
_chemical_formula_sum   'Li6 Cr8 P12 O48'
_cell_volume   927.56553826
_cell_formula_units_Z   2
loop_
 _symmetry_equiv_pos_site_id
 _symmetry_equiv_pos_as_xyz
  1  'x, y, z'
loop_
 _atom_site_type_symbol
 _atom_site_label
 _atom_site_symmetry_multiplicity
 _atom_site_fract_x
 _atom_site_fract_y
 _atom_site_fract_z
 _atom_site_occupancy
  Li  Li0  1  0.02586100  0.51117700  0.25147000  1.0
  Li  Li1  1  0.37399100  0.75053800  0.82497500  1.0
  Li  Li2  1  0.51254300  0.01804400  0.75599800  1.0
  Li  Li3  1  0.56982800  0.22539400  0.54119000  1.0
  Li  Li4  1  0.91483600  0.68969800  0.02126100  1.0
  Li  Li5  1  0.96852400  0.24936600  0.38749700  1.0
  Cr  Cr6  1  0.02351100  0.25277200  0.78490600  1.0
  Cr  Cr7  1  0.24923500  0.24980700  0.99959500  1.0
  Cr  Cr8  1  0.25067800  0.02614100  0.21553100  1.0
  Cr  Cr9  1  0.47087100  0.46643900  0.00050000  1.0
  Cr  Cr10  1  0.52620400  0.53247200  0.50112400  1.0
  Cr  Cr11  1  0.74877900  0.74905400  0.49952600  1.0
  Cr  Cr12  1  0.75108300  0.96461100  0.27538300  1.0
  Cr  Cr13  1  0.96628200  0.75139800  0.71788400  1.0
  P  P14  1  0.04907200  0.82014300  0.40376300  1.0
  P  P15  1  0.17264200  0.95297600  0.90085600  1.0
  P  P16  1  0.15016300  0.55005800  0.92976000  1.0
  P  P17  1  0.34372900  0.32375800  0.70126200  1.0
  P  P18  1  0.31951200  0.33931500  0.29921000  1.0
  P  P19  1  0.45163700  0.84512000  0.42468900  1.0
  P  P20  1  0.54930200  0.15232100  0.06840900  1.0
  P  P21  1  0.64747700  0.68127100  0.79868400  1.0
  P  P22  1  0.68216900  0.64784600  0.20395700  1.0
  P  P23  1  0.84259100  0.45011000  0.57592300  1.0
  P  P24  1  0.81787000  0.04955600  0.59103700  1.0
  P  P25  1  0.95194400  0.17381600  0.10186700  1.0
  O  O26  1  0.03190500  0.88110600  0.85500800  1.0
  O  O27  1  0.08034700  0.81358500  0.56190700  1.0
  O  O28  1  0.09284000  0.61679500  0.79211100  1.0
  O  O29  1  0.11394900  0.95631100  0.33976400  1.0
  O  O30  1  0.09218100  0.69417800  0.34380400  1.0
  O  O31  1  0.12219200  0.38712000  0.92074000  1.0
  O  O32  1  0.08170200  0.59125100  0.05214500  1.0
  O  O33  1  0.11683300  0.16137100  0.12615400  1.0
  O  O34  1  0.16056000  0.11457100  0.87330900  1.0
  O  O35  1  0.18358800  0.30975400  0.67235800  1.0
  O  O36  1  0.19243400  0.91763300  0.06004200  1.0
  O  O37  1  0.18801100  0.39127600  0.33918400  1.0
  O  O38  1  0.29410000  0.91506000  0.82938100  1.0
  O  O39  1  0.31108200  0.58390900  0.93622400  1.0
  O  O40  1  0.31603200  0.17867600  0.32628100  1.0
  O  O41  1  0.38550500  0.90367500  0.28796400  1.0
  O  O42  1  0.37634200  0.33164700  0.86417200  1.0
  O  O43  1  0.33363200  0.37572700  0.13735100  1.0
  O  O44  1  0.41102900  0.90743300  0.55093500  1.0
  O  O45  1  0.39908900  0.46416700  0.63766000  1.0
  O  O46  1  0.41634400  0.68721900  0.43605700  1.0
  O  O47  1  0.41422200  0.20461900  0.65615600  1.0
  O  O48  1  0.38555900  0.12140200  0.07908900  1.0
  O  O49  1  0.45620100  0.39346100  0.37375800  1.0
  O  O50  1  0.56986200  0.79969300  0.83309000  1.0
  O  O51  1  0.54538100  0.58822700  0.13709300  1.0
  O  O52  1  0.59308600  0.54134500  0.86375800  1.0
  O  O53  1  0.61516600  0.87567600  0.41207500  1.0
  O  O54  1  0.62180800  0.66736100  0.63538300  1.0
  O  O55  1  0.59023400  0.09489400  0.93983500  1.0
  O  O56  1  0.58373800  0.31031600  0.06170300  1.0
  O  O57  1  0.61559500  0.08880700  0.20317400  1.0
  O  O58  1  0.66866900  0.61825800  0.36531800  1.0
  O  O59  1  0.68209400  0.41298600  0.56264400  1.0
  O  O60  1  0.69320900  0.80654700  0.16628400  1.0
  O  O61  1  0.68448700  0.09279600  0.63671400  1.0
  O  O62  1  0.80700800  0.69711400  0.83705100  1.0
  O  O63  1  0.82763700  0.88801700  0.62601200  1.0
  O  O64  1  0.81191900  0.59169800  0.16253300  1.0
  O  O65  1  0.82555800  0.08083000  0.43064000  1.0
  O  O66  1  0.87241000  0.61204900  0.58568200  1.0
  O  O67  1  0.88547700  0.82952500  0.37168900  1.0
  O  O68  1  0.89900100  0.38607100  0.71560500  1.0
  O  O69  1  0.91590500  0.19794600  0.94525100  1.0
  O  O70  1  0.91061900  0.40750600  0.45493100  1.0
  O  O71  1  0.88672800  0.03082900  0.14779500  1.0
  O  O72  1  0.91929000  0.28653100  0.18791600  1.0
  O  O73  1  0.95137500  0.11920300  0.65649200  1.0

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