Na13Ti24O54
High-Entropy Materials HEA Traditional Materials TRAMP-ID: mp-774217 · Space group: P1 (#1)
Basic Information
Formula
Na13Ti24O54
MP-ID
mp-774217
Elements
3
Sites
91
Density
3.5532
g/cm³
Volume
1,080.32
ų
Cell a
8.8597
Å
Cell b
11.1334
Å
Cell c
11.7349
Å
α Angle
75.98
°
β Angle
82.70
°
γ Angle
74.61
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
Triclinic P
Stability
No
Packing Fraction
0.5240
X-ray Diffraction
Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
| 2θ | d (Å) | I | hkl |
|---|---|---|---|
| 7.78 | 11.3599 | 1.5 | (0,0,1) |
| 8.44 | 10.4758 | 2.9 | (0,1,0) |
| 10.16 | 8.7046 | 17.2 | (0,1,1) |
| 12.68 | 6.9801 | 40.1 | (0,1,-1) |
| 15.60 | 5.6800 | 100.0 | (0,0,2) |
| 16.05 | 5.5231 | 6.4 | (0,1,2) |
| 16.93 | 5.2379 | 2.1 | (0,2,0) |
| 17.03 | 5.2078 | 6.5 | (0,2,1) |
| 19.33 | 4.5915 | 6.7 | (0,1,-2) |
| 20.16 | 4.4055 | 18.6 | (0,2,-1) |
| 20.41 | 4.3523 | 21.3 | (0,2,2) |
| 23.17 | 3.8387 | 1.8 | (0,1,3) |
| 24.99 | 3.5631 | 4.6 | (0,3,1) |
| 25.51 | 3.4919 | 1.2 | (0,3,0) |
| 25.52 | 3.4901 | 1.2 | (0,2,-2) |
| 25.85 | 3.4460 | 8.0 | (0,2,3) |
| 28.33 | 3.1505 | 1.4 | (0,3,-1) |
| 30.82 | 2.9015 | 2.1 | (0,3,3) |
| 31.96 | 2.8005 | 1.6 | (3,0,1) |
| 31.97 | 2.7997 | 1.7 | (3,2,0) |
| 32.04 | 2.7932 | 37.4 | (0,2,-3) |
| 32.42 | 2.7616 | 32.1 | (0,2,4) |
| 32.53 | 2.7525 | 4.1 | (3,1,2) |
| 32.56 | 2.7503 | 3.8 | (3,1,-1) |
Energy Properties
Formation Energy/atom
-3.19040
eV/atom
Energy/atom
-8.40056
eV/atom
Energy above Hull
0.0167
eV/atom
Uncorrected Energy
-7.9929
eV/atom
Volume/atom
11.87
ų
c/a Ratio
-
Electronic Properties
Metallic
Metal
Band Gap
0
eV
Direct Gap
No
CBM
N/A
eV
Magnetic Properties
Magnetic
No
Total Mag. Moment
0.9991
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000920
μB/ų
Elastic Properties
Elastic data not available
Feature Analysis
Composition Overview
Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.593
Element Family
Metalloid-Nonmetal
Solute Fraction
0.407
Interstitial Fraction
0.000
High-Entropy Alloy Features
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9392
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.8083
J/mol·K
Ω Parameter
0.0376
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
50.393%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0550
smaller = more stable mixing
VEC
3.571
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-124.019
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8549
SS Former
0
Phase Tendency
AM
Traditional Material Features
ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.536
Family
O-rich Multi-Component
Matrix Element
O · 0.593
Related Tasks
Related computation task IDs (1)
Citation & References
Materials Project Page
https://materialsproject.org/materials/mp-774217
Reference Citation
The crystal structure and related material properties of Na13Ti24O54 were obtained from the Materials Project database (MP-ID: mp-774217, 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_Na13Ti24O54
_symmetry_space_group_name_H-M 'P 1'
_cell_length_a 8.85964900
_cell_length_b 11.13339179
_cell_length_c 11.73492211
_cell_angle_alpha 75.98463123
_cell_angle_beta 82.70144858
_cell_angle_gamma 74.60521671
_symmetry_Int_Tables_number 1
_chemical_formula_structural Na13Ti24O54
_chemical_formula_sum 'Na13 Ti24 O54'
_cell_volume 1080.31615895
_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
Na Na0 1 0.57240300 0.30542400 0.85944300 1.0
Na Na1 1 0.93796700 0.30290900 0.85683900 1.0
Na Na2 1 0.18035500 0.59534200 0.72722500 1.0
Na Na3 1 0.84358700 0.60424000 0.72536400 1.0
Na Na4 1 0.51206600 0.60293500 0.72734500 1.0
Na Na5 1 0.53055200 0.09895600 0.71613800 1.0
Na Na6 1 0.16570300 0.09914800 0.71694500 1.0
Na Na7 1 0.15989900 0.90036000 0.28293000 1.0
Na Na8 1 0.48584700 0.40512900 0.27352200 1.0
Na Na9 1 0.15495000 0.39784900 0.27155800 1.0
Na Na10 1 0.82216100 0.39757600 0.27509900 1.0
Na Na11 1 0.09254900 0.69482700 0.14159400 1.0
Na Na12 1 0.71717600 0.70571000 0.14659100 1.0
Ti Ti13 1 0.99935800 0.00248800 0.99901200 1.0
Ti Ti14 1 0.66723900 0.99868600 0.00196200 1.0
Ti Ti15 1 0.33419500 0.99783900 0.00114500 1.0
Ti Ti16 1 0.49587800 0.50819700 0.00907600 1.0
Ti Ti17 1 0.17160700 0.49177500 0.99058700 1.0
Ti Ti18 1 0.83285600 0.50244600 0.00037600 1.0
Ti Ti19 1 0.91611600 0.81444500 0.87620700 1.0
Ti Ti20 1 0.58343100 0.81155500 0.87795000 1.0
Ti Ti21 1 0.24975100 0.80803100 0.87963500 1.0
Ti Ti22 1 0.94415400 0.88307200 0.57277900 1.0
Ti Ti23 1 0.61434500 0.87539400 0.56637300 1.0
Ti Ti24 1 0.28005900 0.87721600 0.56966700 1.0
Ti Ti25 1 0.44826800 0.37410500 0.55422200 1.0
Ti Ti26 1 0.11647400 0.37661300 0.55456300 1.0
Ti Ti27 1 0.78272700 0.37337300 0.55790500 1.0
Ti Ti28 1 0.21838200 0.62437000 0.44733400 1.0
Ti Ti29 1 0.88391900 0.62741800 0.44374800 1.0
Ti Ti30 1 0.54963000 0.62582100 0.44238500 1.0
Ti Ti31 1 0.72153800 0.11954600 0.42815800 1.0
Ti Ti32 1 0.38918100 0.11794000 0.42653100 1.0
Ti Ti33 1 0.05206700 0.12555300 0.43171700 1.0
Ti Ti34 1 0.74911700 0.18733400 0.12375100 1.0
Ti Ti35 1 0.41868500 0.18784900 0.12166400 1.0
Ti Ti36 1 0.08223600 0.19214100 0.12036300 1.0
O O37 1 0.11165400 0.69404500 0.93903900 1.0
O O38 1 0.77756800 0.69538800 0.94020900 1.0
O O39 1 0.44605600 0.69428300 0.93954000 1.0
O O40 1 0.04683500 0.94231700 0.85015800 1.0
O O41 1 0.70920000 0.94394900 0.84928400 1.0
O O42 1 0.37527300 0.94525900 0.84865700 1.0
O O43 1 0.35728500 0.48901100 0.89041600 1.0
O O44 1 0.02082900 0.48701500 0.88821100 1.0
O O45 1 0.69116100 0.48300600 0.89301400 1.0
O O46 1 0.79896200 0.12667100 0.95578800 1.0
O O47 1 0.13069700 0.12360000 0.95096700 1.0
O O48 1 0.46856300 0.12309300 0.95462300 1.0
O O49 1 0.95336700 0.78052700 0.72611000 1.0
O O50 1 0.61748700 0.78372200 0.72551900 1.0
O O51 1 0.28432500 0.78143100 0.72647700 1.0
O O52 1 0.73582000 0.99100200 0.59294300 1.0
O O53 1 0.40291200 0.99119100 0.59418700 1.0
O O54 1 0.07262300 0.99169000 0.59525200 1.0
O O55 1 0.61521800 0.31932400 0.65737100 1.0
O O56 1 0.28724400 0.31206700 0.65308900 1.0
O O57 1 0.95252900 0.31892800 0.65731600 1.0
O O58 1 0.38588500 0.55226700 0.57044500 1.0
O O59 1 0.72137500 0.55191500 0.56975000 1.0
O O60 1 0.05536800 0.55269800 0.57104100 1.0
O O61 1 0.15260400 0.78367300 0.51274000 1.0
O O62 1 0.82160100 0.77848100 0.51842200 1.0
O O63 1 0.48770900 0.77812700 0.51740800 1.0
O O64 1 0.51420000 0.21712100 0.48612800 1.0
O O65 1 0.17986800 0.21751700 0.48706100 1.0
O O66 1 0.84487700 0.22232600 0.48227200 1.0
O O67 1 0.27932300 0.44601300 0.43071300 1.0
O O68 1 0.61142000 0.44629400 0.43160700 1.0
O O69 1 0.94791500 0.44606400 0.43238100 1.0
O O70 1 0.05171100 0.67893100 0.34432200 1.0
O O71 1 0.71965800 0.67201800 0.34410300 1.0
O O72 1 0.37989100 0.68028600 0.34675000 1.0
O O73 1 0.93162500 0.01002600 0.40844800 1.0
O O74 1 0.59530600 0.00915600 0.40740600 1.0
O O75 1 0.26043300 0.00929700 0.40652500 1.0
O O76 1 0.71413200 0.22028700 0.27375300 1.0
O O77 1 0.38105000 0.21978400 0.27300900 1.0
O O78 1 0.04867900 0.21895300 0.27319400 1.0
O O79 1 0.86792800 0.87358700 0.04284000 1.0
O O80 1 0.53469200 0.87608200 0.04146500 1.0
O O81 1 0.19852500 0.87628400 0.04684800 1.0
O O82 1 0.30930900 0.51111900 0.10920900 1.0
O O83 1 0.97530300 0.51643400 0.10732100 1.0
O O84 1 0.64560600 0.51321100 0.11209200 1.0
O O85 1 0.62201600 0.06004900 0.14839300 1.0
O O86 1 0.28545800 0.05962700 0.14717800 1.0
O O87 1 0.95889700 0.05866700 0.14932500 1.0
O O88 1 0.55427500 0.30575300 0.06165500 1.0
O O89 1 0.22175400 0.30557000 0.05975500 1.0
O O90 1 0.88842900 0.30540300 0.05912900 1.0
