Li16(CoO4)3

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-543091 · Space group: P1 (#1)

Materials Project API

Basic Information

Formula

Li16(CoO4)3

MP-ID

mp-543091

Elements

Sites

Density

2.6549

g/cm³

Volume

600.26

Å³

Cell a

6.5378

Cell b

6.5462

Cell c

14.0286

α Angle

90.11

β Angle

90.01

γ Angle

91.19

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
18.99	4.6736	89.6	(1,-1,0)
19.39	4.5777	64.7	(1,1,0)
20.02	4.4357	1.4	(1,-1,1)
23.36	3.8084	100.0	(0,1,-3)
23.39	3.8036	96.7	(1,0,-3)
23.39	3.8027	96.8	(1,0,3)
23.40	3.8012	94.6	(0,1,3)
27.25	3.2724	43.5	(0,2,0)
27.29	3.2682	43.1	(2,0,0)
33.39	2.6836	32.5	(0,2,-3)
33.45	2.6791	30.8	(2,0,-3)
33.45	2.6786	29.1	(0,2,3)
33.45	2.6785	31.5	(2,0,3)
35.96	2.4974	18.4	(1,-2,3)
36.00	2.4948	16.9	(2,-1,3)
36.02	2.4936	18.1	(1,-2,-3)
36.02	2.4933	19.4	(2,-1,-3)
36.40	2.4679	19.0	(1,2,-3)
36.44	2.4657	17.7	(2,1,-3)
36.47	2.4638	18.3	(1,2,3)
36.48	2.4633	19.4	(2,1,3)
38.50	2.3381	6.8	(0,0,6)
38.53	2.3368	3.0	(2,-2,0)
39.37	2.2888	2.3	(2,2,0)

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Energy Properties

Formation Energy/atom

-1.91171

eV/atom

Energy/atom

-5.50263

eV/atom

Energy above Hull

0.0248

eV/atom

Uncorrected Energy

-5.0782

eV/atom

Volume/atom

9.68

Å³

c/a Ratio

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

21.9992

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.036650

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

Li · 0.516

Element Family

Alkali-AlkEarth

Solute Fraction

0.484

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.9348

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

7.7716

J/mol·K

Ω Parameter

0.3273

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

38.168%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

1.1579

smaller = more stable mixing

VEC

2.935

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-10.127

kJ/mol; negative = exothermic mixing

Entropy Norm

0.8509

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.469

Family

Li-rich Multi-Component

Matrix Element

Li · 0.516

Related Tasks

Related computation task IDs (1)

aaaedpjf

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-543091

Reference Citation

The crystal structure and related material properties of Li16(CoO4)3 were obtained from the Materials Project database (MP-ID: mp-543091, 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_Li16(CoO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.53781100
_cell_length_b   6.54618122
_cell_length_c   14.02860709
_cell_angle_alpha   90.11377730
_cell_angle_beta   90.01185238
_cell_angle_gamma   91.18804251
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li16(CoO4)3
_chemical_formula_sum   'Li32 Co6 O24'
_cell_volume   600.26178871
_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  0.46438400  0.02902900  0.58816700  1.0
  Li  Li1  1  0.04571400  0.03721500  0.25914300  1.0
  Li  Li2  1  0.04412800  0.03878400  0.91505800  1.0
  Li  Li3  1  0.72890800  0.22186800  0.22867600  1.0
  Li  Li4  1  0.76874900  0.22903500  0.56728400  1.0
  Li  Li5  1  0.77869000  0.27303200  0.06189800  1.0
  Li  Li6  1  0.72929600  0.22503000  0.89590800  1.0
  Li  Li7  1  0.74822100  0.25013800  0.39564200  1.0
  Li  Li8  1  0.74812200  0.25067500  0.73098900  1.0
  Li  Li9  1  0.46246500  0.45533200  0.24601100  1.0
  Li  Li10  1  0.47357200  0.47586900  0.58341600  1.0
  Li  Li11  1  0.46316200  0.45338700  0.91089200  1.0
  Li  Li12  1  0.02508500  0.47694900  0.23906000  1.0
  Li  Li13  1  0.03053500  0.46737700  0.58116700  1.0
  Li  Li14  1  0.02222900  0.47384000  0.92517600  1.0
  Li  Li15  1  0.96683600  0.52734200  0.75162500  1.0
  Li  Li16  1  0.54472100  0.53574800  0.07671600  1.0
  Li  Li17  1  0.53826400  0.53173800  0.74594100  1.0
  Li  Li18  1  0.96564800  0.53426400  0.41011100  1.0
  Li  Li19  1  0.53627800  0.53807300  0.41694000  1.0
  Li  Li20  1  0.24665400  0.74269000  0.43774400  1.0
  Li  Li21  1  0.22626200  0.72250500  0.10402200  1.0
  Li  Li22  1  0.27587200  0.77277900  0.27098300  1.0
  Li  Li23  1  0.22739000  0.76868000  0.60130900  1.0
  Li  Li24  1  0.25229900  0.74403900  0.76988700  1.0
  Li  Li25  1  0.27541300  0.77185300  0.93722500  1.0
  Li  Li26  1  0.96445400  0.95605700  0.08921000  1.0
  Li  Li27  1  0.97169800  0.96769900  0.43380400  1.0
  Li  Li28  1  0.52155400  0.97965100  0.08225200  1.0
  Li  Li29  1  0.52318000  0.96795000  0.40972600  1.0
  Li  Li30  1  0.97283800  0.97417900  0.73574400  1.0
  Li  Li31  1  0.52446300  0.97904000  0.76305300  1.0
  Co  Co32  1  0.24546800  0.25407900  0.08276100  1.0
  Co  Co33  1  0.24944400  0.25153000  0.74942500  1.0
  Co  Co34  1  0.24771200  0.25311400  0.41730300  1.0
  Co  Co35  1  0.74340700  0.75738200  0.24856400  1.0
  Co  Co36  1  0.75616100  0.75764300  0.58433700  1.0
  Co  Co37  1  0.74574900  0.75535500  0.91740300  1.0
  O  O38  1  0.76248100  0.99906400  0.32234800  1.0
  O  O39  1  0.73000600  0.00794200  0.65881400  1.0
  O  O40  1  0.76622900  0.99904700  0.98897600  1.0
  O  O41  1  0.99924800  0.23598800  0.15569100  1.0
  O  O42  1  0.98699400  0.26570900  0.47502900  1.0
  O  O43  1  0.98706800  0.25303500  0.82158400  1.0
  O  O44  1  0.51183400  0.26435600  0.13843400  1.0
  O  O45  1  0.51016900  0.25379700  0.48235200  1.0
  O  O46  1  0.51168700  0.26456900  0.81158900  1.0
  O  O47  1  0.75474100  0.48476300  0.65169400  1.0
  O  O48  1  0.74267500  0.49078900  0.31150200  1.0
  O  O49  1  0.73894600  0.49301500  0.97429100  1.0
  O  O50  1  0.26188300  0.49998000  0.01255200  1.0
  O  O51  1  0.24687700  0.51482600  0.68007400  1.0
  O  O52  1  0.25383300  0.50753100  0.34347300  1.0
  O  O53  1  0.00663900  0.72797100  0.50944400  1.0
  O  O54  1  0.00893500  0.76332700  0.19446700  1.0
  O  O55  1  0.00915100  0.75325800  0.85304000  1.0
  O  O56  1  0.48751400  0.75259400  0.51147700  1.0
  O  O57  1  0.50167700  0.73563700  0.17785200  1.0
  O  O58  1  0.49961900  0.73498500  0.84793800  1.0
  O  O59  1  0.23489600  0.98801100  0.02794400  1.0
  O  O60  1  0.24105500  0.98999300  0.35982200  1.0
  O  O61  1  0.25866100  0.98300500  0.69170700  1.0

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