Li9Ti12NbO30

High-Entropy Materials HEA

MP-ID: mp-767490 · Space group: R3 (#146)

Materials Project API

Basic Information

Formula

Li9Ti12NbO30

MP-ID

mp-767490

Elements

Sites

Density

3.7203

g/cm³

Volume

539.97

Å³

Cell a

5.1368

Cell b

23.8206

Cell c

5.1369

α Angle

96.20

β Angle

59.98

γ Angle

96.22

Space Group

Point Group

Crystal System

Trigonal

Bravais Lattice

Trigonal R

Stability

Packing Fraction

0.7400

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
7.48	11.8170	15.1	(0,2,0)
14.99	5.9085	17.3	(0,4,0)
20.00	4.4405	4.4	(1,-1,1)
20.00	4.4391	4.4	(0,0,1)
20.00	4.4388	4.4	(1,0,0)
20.12	4.4143	4.5	(1,0,1)
20.12	4.4133	4.5	(1,-1,0)
20.12	4.4131	4.5	(0,1,-1)
20.58	4.3156	7.9	(1,-2,1)
20.59	4.3141	7.9	(0,1,1)
20.59	4.3135	8.0	(1,1,0)
20.93	4.2446	4.3	(1,1,1)
20.93	4.2444	4.3	(1,-2,0)
20.93	4.2438	4.3	(0,2,-1)
21.82	4.0740	2.9	(1,-3,1)
21.82	4.0726	2.9	(0,2,1)
21.83	4.0717	2.9	(1,2,0)
22.36	3.9759	99.9	(1,-3,0)
22.36	3.9756	99.5	(1,2,1)
22.37	3.9751	100.0	(0,3,-1)
22.57	3.9390	17.8	(0,6,0)
23.60	3.7692	2.0	(1,-4,1)
23.61	3.7679	2.0	(0,3,1)
23.62	3.7669	2.0	(1,3,0)

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Energy Properties

Formation Energy/atom

-3.18100

eV/atom

Energy/atom

-8.38228

eV/atom

Energy above Hull

0.0210

eV/atom

Uncorrected Energy

-7.9859

eV/atom

Volume/atom

10.38

Å³

c/a Ratio

1.0000

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

2.0005

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.003700

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.577

Element Family

Metalloid-Nonmetal

Solute Fraction

0.423

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0353

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.6074

J/mol·K

Ω Parameter

0.0501

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

45.058%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

1.0660

smaller = more stable mixing

VEC

3.500

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-104.978

kJ/mol; negative = exothermic mixing

Entropy Norm

0.7468

SS Former

Phase Tendency

Related Tasks

Related computation task IDs (1)

aaaegblf

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-767490

Reference Citation

The crystal structure and related material properties of Li9Ti12NbO30 were obtained from the Materials Project database (MP-ID: mp-767490, 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_Li9Ti12NbO30
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.13677624
_cell_length_b   23.82055862
_cell_length_c   5.13690100
_cell_angle_alpha   96.20107818
_cell_angle_beta   59.97957290
_cell_angle_gamma   96.21908479
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Li9Ti12NbO30
_chemical_formula_sum   'Li9 Ti12 Nb1 O30'
_cell_volume   539.97168080
_cell_formula_units_Z   1
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  0.02568900  0.07695300  0.02563500  1.0
  Li  Li1  1  0.24469600  0.73701100  0.24629700  1.0
  Li  Li2  1  0.60854700  0.82544200  0.60803500  1.0
  Li  Li3  1  0.38996900  0.17013100  0.39017600  1.0
  Li  Li4  1  0.47355700  0.42078200  0.47360600  1.0
  Li  Li5  1  0.52655300  0.58009300  0.52707700  1.0
  Li  Li6  1  0.97381900  0.92179500  0.97394200  1.0
  Li  Li7  1  0.89109400  0.67042800  0.88974800  1.0
  Li  Li8  1  0.74552800  0.23654600  0.74550300  1.0
  Ti  Ti9  1  0.10409800  0.31272700  0.10472600  1.0
  Ti  Ti10  1  0.16197700  0.48614400  0.16200600  1.0
  Ti  Ti11  1  0.20431700  0.61232500  0.20435400  1.0
  Ti  Ti12  1  0.06567700  0.19650700  0.06538800  1.0
  Ti  Ti13  1  0.29588200  0.88773000  0.29553400  1.0
  Ti  Ti14  1  0.66200400  0.98610300  0.66192500  1.0
  Ti  Ti15  1  0.33812800  0.01422000  0.33806800  1.0
  Ti  Ti16  1  0.43229800  0.29762600  0.43249200  1.0
  Ti  Ti17  1  0.56645400  0.69948400  0.56628100  1.0
  Ti  Ti18  1  0.70381700  0.11149600  0.70397400  1.0
  Ti  Ti19  1  0.79636100  0.39036700  0.79692000  1.0
  Ti  Ti20  1  0.83817800  0.51455000  0.83836800  1.0
  Nb  Nb21  1  0.93176100  0.79647200  0.93210300  1.0
  O  O22  1  0.00546400  0.95285500  0.35074700  1.0
  O  O23  1  0.01056700  0.15245600  0.38366400  1.0
  O  O24  1  0.59689800  0.95292100  0.00522400  1.0
  O  O25  1  0.14961400  0.54817600  0.49469700  1.0
  O  O26  1  0.35064100  0.95290300  0.59636300  1.0
  O  O27  1  0.25341100  0.74943900  0.62604100  1.0
  O  O28  1  0.12572800  0.35126400  0.45908700  1.0
  O  O29  1  0.09576800  0.45136700  0.84955400  1.0
  O  O30  1  0.24437700  0.85116300  0.98467100  1.0
  O  O31  1  0.36707800  0.25454700  0.12429400  1.0
  O  O32  1  0.50876000  0.65071900  0.26255400  1.0
  O  O33  1  0.62116200  0.85120100  0.24450100  1.0
  O  O34  1  0.50628200  0.45138700  0.09573400  1.0
  O  O35  1  0.26348700  0.65062500  0.87998700  1.0
  O  O36  1  0.12425100  0.25461300  0.76328100  1.0
  O  O37  1  0.86929900  0.74980800  0.25541300  1.0
  O  O38  1  0.76665300  0.35118900  0.12569800  1.0
  O  O39  1  0.49512300  0.54805700  0.90327400  1.0
  O  O40  1  0.38355800  0.15241800  0.75834500  1.0
  O  O41  1  0.45892800  0.35115200  0.76654700  1.0
  O  O42  1  0.62392700  0.74970800  0.87090000  1.0
  O  O43  1  0.75806600  0.15241400  0.01080400  1.0
  O  O44  1  0.90401000  0.54811300  0.14993700  1.0
  O  O45  1  0.88168500  0.65107700  0.50655300  1.0
  O  O46  1  0.76330100  0.25463000  0.36706500  1.0
  O  O47  1  0.64975700  0.04966000  0.40402200  1.0
  O  O48  1  0.84958700  0.45135700  0.50614200  1.0
  O  O49  1  0.40394100  0.04959300  0.99575600  1.0
  O  O50  1  0.98581700  0.85096800  0.62068400  1.0
  O  O51  1  0.99583100  0.04963000  0.64968600  1.0

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