Bi(PO3)4

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-673020 · Space group: P2_1/c (#14)

Materials Project API

Basic Information

Formula

Bi(PO3)4

MP-ID

mp-673020

Elements

Sites

Density

3.5876

g/cm³

Volume

971.76

Å³

Cell a

9.0111

Cell b

10.5026

Cell c

12.9694

α Angle

52.35

β Angle

90.00

γ Angle

90.00

Space Group

P2_1/c

Point Group

2/m

Crystal System

Monoclinic

Bravais Lattice

Monoclinic 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
10.64	8.3150	22.0	(0,1,0)
13.12	6.7492	30.9	(1,1,1)
13.66	6.4845	23.9	(0,1,2)
14.50	6.1109	100.0	(1,1,0)
16.84	5.2633	39.1	(1,1,2)
17.27	5.1340	28.2	(0,0,2)
17.41	5.0931	64.7	(0,2,2)
19.70	4.5055	22.8	(2,0,0)
19.97	4.4467	6.5	(1,1,-1)
20.03	4.4339	16.5	(1,2,2)
21.37	4.1575	16.9	(0,2,0)
21.57	4.1204	2.6	(2,1,1)
22.44	3.9614	21.3	(2,1,0)
23.40	3.8011	2.7	(1,1,3)
23.48	3.7886	1.5	(1,2,3)
23.57	3.7751	4.9	(1,2,0)
24.05	3.7001	3.3	(2,1,2)
25.35	3.5131	15.2	(0,1,-2)
25.55	3.4869	23.4	(0,3,2)
26.32	3.3864	67.7	(2,0,2)
26.37	3.3802	1.2	(2,1,-1)
26.41	3.3746	8.7	(2,2,2)
26.44	3.3714	3.0	(2,2,1)
27.25	3.2732	17.5	(1,1,-2)

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Energy Properties

Formation Energy/atom

-2.37400

eV/atom

Energy/atom

-7.36973

eV/atom

Energy above Hull

0.0404

eV/atom

Uncorrected Energy

-6.8848

eV/atom

Volume/atom

14.29

Å³

c/a Ratio

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Total Mag. Moment

0.0000

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.000000

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.706

Element Family

Metalloid-Nonmetal

Solute Fraction

0.294

Interstitial Fraction

0.235

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.7530

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

6.2602

J/mol·K

Ω Parameter

0.6238

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

37.879%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.5862

smaller = more stable mixing

VEC

4.294

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-1.459

kJ/mol; negative = exothermic mixing

Entropy Norm

0.6854

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.647

Family

Interstitial Alloy

Matrix Element

O · 0.706

Related Tasks

Related computation task IDs (2)

aaacbvpp aaaebdpl

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-673020

Reference Citation

The crystal structure and related material properties of Bi(PO3)4 were obtained from the Materials Project database (MP-ID: mp-673020, 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_Bi(PO3)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.01106000
_cell_length_b   10.50262800
_cell_length_c   12.96939177
_cell_angle_alpha   52.34538394
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Bi(PO3)4
_chemical_formula_sum   'Bi4 P16 O48'
_cell_volume   971.75845691
_cell_formula_units_Z   4
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
  Bi  Bi0  1  0.73539300  0.18877900  0.00087400  1.0
  Bi  Bi1  1  0.76460700  0.18877900  0.50087400  1.0
  Bi  Bi2  1  0.26460700  0.81122100  0.99912600  1.0
  Bi  Bi3  1  0.23539300  0.81122100  0.49912600  1.0
  P  P4  1  0.48989000  0.49255500  0.76015600  1.0
  P  P5  1  0.60310900  0.30179000  0.68444200  1.0
  P  P6  1  0.39689100  0.69821000  0.31555800  1.0
  P  P7  1  0.89689100  0.30179000  0.18444200  1.0
  P  P8  1  0.51011000  0.50744500  0.23984400  1.0
  P  P9  1  0.39852000  0.10811600  0.65321900  1.0
  P  P10  1  0.60148000  0.89188400  0.34678100  1.0
  P  P11  1  0.10148000  0.10811600  0.15321900  1.0
  P  P12  1  0.89852000  0.89188400  0.84678100  1.0
  P  P13  1  0.33839100  0.18354000  0.96534500  1.0
  P  P14  1  0.01011000  0.49255500  0.26015600  1.0
  P  P15  1  0.66160900  0.81646000  0.03465500  1.0
  P  P16  1  0.83839100  0.81646000  0.53465500  1.0
  P  P17  1  0.10310900  0.69821000  0.81555800  1.0
  P  P18  1  0.98989000  0.50744500  0.73984400  1.0
  P  P19  1  0.16160900  0.18354000  0.46534500  1.0
  O  O20  1  0.38961600  0.54841600  0.14320100  1.0
  O  O21  1  0.88961600  0.45158400  0.35679900  1.0
  O  O22  1  0.47059900  0.93643300  0.39126900  1.0
  O  O23  1  0.97059900  0.06356700  0.10873100  1.0
  O  O24  1  0.65647600  0.18911000  0.82299000  1.0
  O  O25  1  0.14419500  0.36351400  0.33286500  1.0
  O  O26  1  0.61038400  0.45158400  0.85679900  1.0
  O  O27  1  0.11038400  0.54841600  0.64320100  1.0
  O  O28  1  0.94482500  0.76299900  0.82497500  1.0
  O  O29  1  0.72917500  0.91707500  0.06902300  1.0
  O  O30  1  0.42339500  0.65754400  0.67932100  1.0
  O  O31  1  0.01983000  0.13040600  0.54346200  1.0
  O  O32  1  0.78220200  0.78154600  0.96344900  1.0
  O  O33  1  0.85580500  0.63648600  0.66713500  1.0
  O  O34  1  0.45093300  0.53359700  0.34409700  1.0
  O  O35  1  0.29854700  0.65544900  0.42614800  1.0
  O  O36  1  0.77082500  0.91707500  0.56902300  1.0
  O  O37  1  0.02940100  0.93643300  0.89126900  1.0
  O  O38  1  0.98017000  0.86959400  0.45653800  1.0
  O  O39  1  0.54906700  0.46640300  0.65590300  1.0
  O  O40  1  0.18659200  0.97135200  0.26851100  1.0
  O  O41  1  0.21779800  0.21845400  0.03655100  1.0
  O  O42  1  0.15647600  0.81089000  0.67701000  1.0
  O  O43  1  0.51983000  0.86959400  0.95653800  1.0
  O  O44  1  0.84352400  0.18911000  0.32299000  1.0
  O  O45  1  0.92339500  0.34245600  0.82067900  1.0
  O  O46  1  0.44482500  0.23700100  0.67502500  1.0
  O  O47  1  0.04906700  0.53359700  0.84409700  1.0
  O  O48  1  0.07660500  0.65754400  0.17932100  1.0
  O  O49  1  0.52940100  0.06356700  0.60873100  1.0
  O  O50  1  0.68659200  0.02864800  0.23148900  1.0
  O  O51  1  0.20145300  0.65544900  0.92614800  1.0
  O  O52  1  0.79854700  0.34455100  0.07385200  1.0
  O  O53  1  0.05517500  0.23700100  0.17502500  1.0
  O  O54  1  0.57660500  0.34245600  0.32067900  1.0
  O  O55  1  0.71779800  0.78154600  0.46344900  1.0
  O  O56  1  0.35580500  0.36351400  0.83286500  1.0
  O  O57  1  0.70145300  0.34455100  0.57385200  1.0
  O  O58  1  0.64419500  0.63648600  0.16713500  1.0
  O  O59  1  0.48017000  0.13040600  0.04346200  1.0
  O  O60  1  0.81340800  0.02864800  0.73148900  1.0
  O  O61  1  0.27082500  0.08292500  0.93097700  1.0
  O  O62  1  0.55517500  0.76299900  0.32497500  1.0
  O  O63  1  0.95093300  0.46640300  0.15590300  1.0
  O  O64  1  0.34352400  0.81089000  0.17701000  1.0
  O  O65  1  0.31340800  0.97135200  0.76851100  1.0
  O  O66  1  0.22917500  0.08292500  0.43097700  1.0
  O  O67  1  0.28220200  0.21845400  0.53655100  1.0

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