Ni3(PO4)4

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-1101533 · Space group: P1 (#1)

Materials Project API

Basic Information

Formula

Ni3(PO4)4

MP-ID

mp-1101533

Elements

Sites

Density

2.9070

g/cm³

Volume

952.75

Å³

Cell a

8.0125

Cell b

9.0107

Cell c

13.2246

α Angle

86.29

β Angle

89.72

γ Angle

89.62

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
9.84	8.9916	4.9	(0,1,0)
11.04	8.0122	4.9	(1,0,0)
11.54	7.6652	4.6	(0,1,1)
12.26	7.2166	29.6	(0,1,-1)
12.90	6.8624	2.5	(1,0,1)
12.95	6.8352	26.8	(1,0,-1)
14.76	6.0009	6.0	(1,1,0)
14.86	5.9631	18.9	(1,-1,0)
15.94	5.5611	79.4	(1,1,1)
16.07	5.5166	100.0	(1,-1,-1)
16.14	5.4919	16.2	(0,1,2)
16.51	5.3693	2.8	(1,1,-1)
16.55	5.3551	2.5	(1,-1,1)
17.18	5.1627	1.9	(0,1,-2)
17.37	5.1047	13.8	(1,0,2)
17.45	5.0823	1.0	(1,0,-2)
19.53	4.5461	1.9	(1,1,2)
19.75	4.4958	4.5	(0,2,0)
20.19	4.3989	55.6	(0,0,3)
20.45	4.3423	3.6	(0,2,1)
20.46	4.3401	2.6	(1,1,-2)
20.47	4.3395	4.8	(1,-1,2)
21.29	4.1740	85.5	(0,2,-1)
22.19	4.0061	1.5	(2,0,0)

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Energy Properties

Formation Energy/atom

-1.79291

eV/atom

Energy/atom

-6.93073

eV/atom

Energy above Hull

0.2044

eV/atom

Uncorrected Energy

-6.1214

eV/atom

Volume/atom

13.81

Å³

c/a Ratio

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

35.9998

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.037790

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.696

Element Family

Metalloid-Nonmetal

Solute Fraction

0.304

Interstitial Fraction

0.174

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.8223

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

6.8370

J/mol·K

Ω Parameter

0.8004

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

33.811%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.6350

smaller = more stable mixing

VEC

4.957

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-2.722

kJ/mol; negative = exothermic mixing

Entropy Norm

0.7485

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.515

Family

Interstitial Alloy

Matrix Element

O · 0.696

Related Tasks

Related computation task IDs (1)

aaaebcnm

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1101533

Reference Citation

The crystal structure and related material properties of Ni3(PO4)4 were obtained from the Materials Project database (MP-ID: mp-1101533, 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_Ni3(PO4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.01244800
_cell_length_b   9.01070574
_cell_length_c   13.22460832
_cell_angle_alpha   86.28769006
_cell_angle_beta   89.71900512
_cell_angle_gamma   89.61755076
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ni3(PO4)4
_chemical_formula_sum   'Ni9 P12 O48'
_cell_volume   952.75357834
_cell_formula_units_Z   3
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
  Ni  Ni0  1  0.99858800  0.49816800  0.49906200  1.0
  Ni  Ni1  1  0.50923500  0.67044700  0.83390500  1.0
  Ni  Ni2  1  0.00327900  0.16736400  0.83405100  1.0
  Ni  Ni3  1  0.36271300  0.73538300  0.16562000  1.0
  Ni  Ni4  1  0.86406600  0.09921900  0.50042900  1.0
  Ni  Ni5  1  0.49266700  0.99543500  0.49923500  1.0
  Ni  Ni6  1  0.99147600  0.83548900  0.16718900  1.0
  Ni  Ni7  1  0.49774600  0.33301700  0.16579800  1.0
  Ni  Ni8  1  0.13517800  0.57077300  0.83325000  1.0
  P  P9  1  0.19321000  0.52500000  0.27507400  1.0
  P  P10  1  0.80198400  0.47395400  0.72274400  1.0
  P  P11  1  0.69961000  0.63785600  0.05710100  1.0
  P  P12  1  0.79771700  0.80609500  0.39235900  1.0
  P  P13  1  0.29694800  0.02660700  0.27481900  1.0
  P  P14  1  0.19818000  0.19439700  0.61066400  1.0
  P  P15  1  0.20789300  0.85854100  0.94441000  1.0
  P  P16  1  0.80139400  0.13868700  0.05494400  1.0
  P  P17  1  0.30576200  0.35898800  0.94200000  1.0
  P  P18  1  0.29697200  0.69381600  0.61298100  1.0
  P  P19  1  0.70188000  0.97279700  0.72080800  1.0
  P  P20  1  0.69358400  0.30824300  0.39107900  1.0
  O  O21  1  0.13633900  0.01455600  0.91905100  1.0
  O  O22  1  0.63208900  0.81746300  0.74343500  1.0
  O  O23  1  0.14766200  0.69027700  0.24654300  1.0
  O  O24  1  0.36940500  0.84782200  0.58953500  1.0
  O  O25  1  0.61880400  0.82816000  0.43035100  1.0
  O  O26  1  0.86773900  0.00100500  0.77205500  1.0
  O  O27  1  0.57580500  0.08229000  0.76592300  1.0
  O  O28  1  0.20275300  0.82639900  0.06222200  1.0
  O  O29  1  0.31049900  0.99641300  0.39049200  1.0
  O  O30  1  0.92522200  0.25328600  0.09617500  1.0
  O  O31  1  0.42205600  0.91465300  0.23029600  1.0
  O  O32  1  0.36985000  0.51422700  0.22473600  1.0
  O  O33  1  0.31246700  0.31948100  0.05699300  1.0
  O  O34  1  0.70519400  0.00626700  0.60386900  1.0
  O  O35  1  0.11916100  0.00513100  0.23664500  1.0
  O  O36  1  0.64870500  0.14333400  0.42068300  1.0
  O  O37  1  0.92400000  0.58503700  0.76569200  1.0
  O  O38  1  0.37245200  0.16418400  0.56797700  1.0
  O  O39  1  0.35563500  0.18626500  0.24945800  1.0
  O  O40  1  0.85195200  0.30966300  0.74657000  1.0
  O  O41  1  0.07503500  0.08245000  0.56843100  1.0
  O  O42  1  0.35113300  0.52421900  0.91423600  1.0
  O  O43  1  0.81412800  0.18415500  0.94034200  1.0
  O  O44  1  0.13141600  0.66573600  0.56169600  1.0
  O  O45  1  0.68310600  0.34716400  0.27620900  1.0
  O  O46  1  0.63272900  0.16514900  0.10424600  1.0
  O  O47  1  0.92175400  0.91704200  0.43639100  1.0
  O  O48  1  0.06905600  0.40890800  0.23996600  1.0
  O  O49  1  0.62630400  0.50161500  0.76350400  1.0
  O  O50  1  0.57503900  0.75185500  0.09809700  1.0
  O  O51  1  0.81198300  0.49814300  0.60652300  1.0
  O  O52  1  0.08017300  0.74767000  0.90339000  1.0
  O  O53  1  0.43042800  0.24138000  0.90669300  1.0
  O  O54  1  0.18470000  0.48493300  0.38992900  1.0
  O  O55  1  0.81169100  0.83943600  0.27676100  1.0
  O  O56  1  0.12979400  0.34938700  0.89185100  1.0
  O  O57  1  0.38313700  0.83671600  0.90210800  1.0
  O  O58  1  0.87054800  0.31825100  0.43971000  1.0
  O  O59  1  0.29465200  0.66026800  0.72995100  1.0
  O  O60  1  0.56813200  0.42497200  0.42659400  1.0
  O  O61  1  0.14758100  0.35785600  0.58693600  1.0
  O  O62  1  0.64794100  0.47563100  0.08200200  1.0
  O  O63  1  0.18724500  0.16255300  0.72650900  1.0
  O  O64  1  0.69137200  0.66494000  0.94087300  1.0
  O  O65  1  0.85729200  0.64627700  0.41732500  1.0
  O  O66  1  0.86852400  0.98190100  0.07856800  1.0
  O  O67  1  0.87293900  0.66591000  0.09940700  1.0
  O  O68  1  0.42274900  0.58173400  0.56802500  1.0

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