Li5Mn6(BO3)6

High-Entropy Materials HEA

MP-ID: mp-777985 · Space group: Cm (#8)

Materials Project API

Basic Information

Formula

Li5Mn6(BO3)6

MP-ID

mp-777985

Elements

Sites

Density

3.1609

g/cm³

Volume

753.54

Å³

Cell a

14.6883

Cell b

14.6883

Cell c

8.2583

α Angle

89.55

β Angle

89.55

γ Angle

25.02

Space Group

Point Group

Crystal System

Monoclinic

Bravais Lattice

Monoclinic C

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
12.33	7.1810	5.3	(1,1,1)
12.35	7.1695	5.5	(2,2,0)
12.41	7.1316	5.1	(1,1,-1)
21.41	4.1512	90.8	(3,3,1)
21.52	4.1290	95.5	(0,0,2)
21.56	4.1225	100.0	(3,3,-1)
24.80	3.5905	7.2	(2,2,2)
24.84	3.5848	8.2	(4,4,0)
24.97	3.5658	2.4	(2,2,-2)
28.04	3.1817	22.5	(1,-1,0)
30.74	2.9090	14.1	(2,0,1)
30.74	2.9082	15.0	(3,1,0)
30.77	2.9057	20.2	(2,0,-1)
32.96	2.7177	13.0	(4,4,2)
32.98	2.7158	7.6	(5,5,1)
33.09	2.7073	6.9	(1,1,3)
33.15	2.7024	7.8	(5,5,-1)
33.19	2.6993	8.8	(1,1,-3)
33.23	2.6963	5.1	(4,4,-2)
35.55	2.5253	67.4	(4,2,1)
35.62	2.5203	71.7	(1,-1,2)
35.64	2.5188	72.7	(4,2,-1)
37.58	2.3937	25.2	(3,3,3)
37.64	2.3898	28.7	(6,6,0)

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Energy Properties

Formation Energy/atom

-2.46877

eV/atom

Energy/atom

-8.00181

eV/atom

Energy above Hull

0.0425

eV/atom

Uncorrected Energy

-7.3626

eV/atom

Volume/atom

10.76

Å³

c/a Ratio

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

58.0045

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.076980

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.514

Element Family

Metalloid-Nonmetal

Solute Fraction

0.486

Interstitial Fraction

0.171

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.2246

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

10.1816

J/mol·K

Ω Parameter

0.6325

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

39.331%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.9874

smaller = more stable mixing

VEC

3.914

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-12.171

kJ/mol; negative = exothermic mixing

Entropy Norm

0.8834

SS Former

Phase Tendency

Related Tasks

Related computation task IDs (2)

aaabumzi aaaecngl

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-777985

Reference Citation

The crystal structure and related material properties of Li5Mn6(BO3)6 were obtained from the Materials Project database (MP-ID: mp-777985, 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

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Raw CIF Data

# generated using pymatgen
data_Li5Mn6(BO3)6
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   14.68826585
_cell_length_b   14.68826585
_cell_length_c   8.25832036
_cell_angle_alpha   89.55328158
_cell_angle_beta   89.55328158
_cell_angle_gamma   25.02083621
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li5Mn6(BO3)6
_chemical_formula_sum   'Li10 Mn12 B12 O36'
_cell_volume   753.53897124
_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  0.24563500  0.24563500  0.29072700  1.0
  Li  Li1  1  0.74584400  0.74584400  0.28943200  1.0
  Li  Li2  1  0.92987000  0.92987000  0.34159600  1.0
  Li  Li3  1  0.07446500  0.07446500  0.36772700  1.0
  Li  Li4  1  0.57507400  0.57507400  0.36956600  1.0
  Li  Li5  1  0.49568400  0.49568400  0.79012800  1.0
  Li  Li6  1  0.99585700  0.99585700  0.79038700  1.0
  Li  Li7  1  0.17985600  0.17985600  0.84143200  1.0
  Li  Li8  1  0.82505800  0.82505800  0.86846000  1.0
  Li  Li9  1  0.32456700  0.32456700  0.86899000  1.0
  Mn  Mn10  1  0.74846300  0.25285700  0.13757000  1.0
  Mn  Mn11  1  0.25285700  0.74846300  0.13757000  1.0
  Mn  Mn12  1  0.90459000  0.41038700  0.16597800  1.0
  Mn  Mn13  1  0.41038700  0.90459000  0.16597800  1.0
  Mn  Mn14  1  0.58957600  0.09447800  0.19549800  1.0
  Mn  Mn15  1  0.09447700  0.58957600  0.19549800  1.0
  Mn  Mn16  1  0.50268400  0.99870800  0.63758100  1.0
  Mn  Mn17  1  0.99870800  0.50268400  0.63758100  1.0
  Mn  Mn18  1  0.65404700  0.16098100  0.66581300  1.0
  Mn  Mn19  1  0.16098100  0.65404700  0.66581300  1.0
  Mn  Mn20  1  0.83924400  0.34487700  0.69551800  1.0
  Mn  Mn21  1  0.34487700  0.83924400  0.69551800  1.0
  B  B22  1  0.00475900  0.49721500  0.00167700  1.0
  B  B23  1  0.49721500  0.00475900  0.00167700  1.0
  B  B24  1  0.41583100  0.41583100  0.99557700  1.0
  B  B25  1  0.91671000  0.91671000  0.99654700  1.0
  B  B26  1  0.58219700  0.58219700  0.00403800  1.0
  B  B27  1  0.08300700  0.08300700  0.99998500  1.0
  B  B28  1  0.75551100  0.24648100  0.50181800  1.0
  B  B29  1  0.24648100  0.75551100  0.50181800  1.0
  B  B30  1  0.83307800  0.83307800  0.50026700  1.0
  B  B31  1  0.33202900  0.33202900  0.50369100  1.0
  B  B32  1  0.16646400  0.16646400  0.49603300  1.0
  B  B33  1  0.66610500  0.66610500  0.49620100  1.0
  O  O34  1  0.96492000  0.96492000  0.01049200  1.0
  O  O35  1  0.46389200  0.46389200  0.01147100  1.0
  O  O36  1  0.13147500  0.13147500  0.01508600  1.0
  O  O37  1  0.62971000  0.62971000  0.02208400  1.0
  O  O38  1  0.55273200  0.55273200  0.13976700  1.0
  O  O39  1  0.05440800  0.05440800  0.13572700  1.0
  O  O40  1  0.38613600  0.38613600  0.12745600  1.0
  O  O41  1  0.88947300  0.88947300  0.13702600  1.0
  O  O42  1  0.98075300  0.47975600  0.15597200  1.0
  O  O43  1  0.47975600  0.98075300  0.15597200  1.0
  O  O44  1  0.31290700  0.31290700  0.34782500  1.0
  O  O45  1  0.81379100  0.81379100  0.34523500  1.0
  O  O46  1  0.14553400  0.14553400  0.34513600  1.0
  O  O47  1  0.64677900  0.64677900  0.34221500  1.0
  O  O48  1  0.74223500  0.20582200  0.36603500  1.0
  O  O49  1  0.20582200  0.74223500  0.36603500  1.0
  O  O50  1  0.79877600  0.30077900  0.48895200  1.0
  O  O51  1  0.30077900  0.79877600  0.48895200  1.0
  O  O52  1  0.71429900  0.71429900  0.51241800  1.0
  O  O53  1  0.21456500  0.21456500  0.50948200  1.0
  O  O54  1  0.37959500  0.37959500  0.52168400  1.0
  O  O55  1  0.88147700  0.88147700  0.51551500  1.0
  O  O56  1  0.30257300  0.30257300  0.63900100  1.0
  O  O57  1  0.80445300  0.80445300  0.63638800  1.0
  O  O58  1  0.13926900  0.13926900  0.63675700  1.0
  O  O59  1  0.63643600  0.63643600  0.62786300  1.0
  O  O60  1  0.73069900  0.22981700  0.65605500  1.0
  O  O61  1  0.22981700  0.73069900  0.65605500  1.0
  O  O62  1  0.56291900  0.56291900  0.84854800  1.0
  O  O63  1  0.06383500  0.06383500  0.84463300  1.0
  O  O64  1  0.39629600  0.39629600  0.84176500  1.0
  O  O65  1  0.89596500  0.89596500  0.84545700  1.0
  O  O66  1  0.99151800  0.45650200  0.86593700  1.0
  O  O67  1  0.45650200  0.99151800  0.86593700  1.0
  O  O68  1  0.55241600  0.04711100  0.98887600  1.0
  O  O69  1  0.04711100  0.55241600  0.98887600  1.0

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