Sc2(PO4)3

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-775184 · Space group: P2_1/c (#14)

Materials Project API

Basic Information

Formula

Sc2(PO4)3

MP-ID

mp-775184

Elements

Sites

Density

2.3870

g/cm³

Volume

1,043.01

Å³

Cell a

9.1232

Cell b

9.0805

Cell c

15.4898

α Angle

54.37

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
14.07	6.2951	28.5	(0,0,2)
15.44	5.7381	38.7	(1,1,0)
15.48	5.7231	36.3	(1,1,2)
19.46	4.5616	47.2	(2,0,0)
19.55	4.5402	15.1	(0,2,2)
19.70	4.5075	69.9	(1,1,-1)
19.76	4.4930	70.8	(1,1,3)
20.71	4.2888	27.9	(2,0,1)
21.87	4.0647	96.2	(1,2,2)
22.92	3.8803	45.9	(2,1,0)
22.95	3.8757	46.4	(2,1,2)
22.96	3.8727	44.1	(1,2,1)
23.02	3.8635	42.7	(1,2,3)
23.31	3.8161	80.8	(0,1,-2)
23.39	3.8030	84.8	(0,1,4)
24.09	3.6938	17.6	(2,0,2)
24.12	3.6903	5.2	(0,2,0)
24.22	3.6745	5.3	(0,2,4)
25.30	3.5206	30.1	(1,1,-2)
25.37	3.5102	25.5	(1,1,4)
26.02	3.4247	51.4	(2,1,-1)
26.07	3.4184	50.2	(2,1,3)
27.72	3.2180	100.0	(2,2,2)
28.36	3.1475	43.6	(0,0,4)

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Energy Properties

Formation Energy/atom

-2.82930

eV/atom

Energy/atom

-8.02264

eV/atom

Energy above Hull

0.0836

eV/atom

Uncorrected Energy

-7.5377

eV/atom

Volume/atom

15.34

Å³

c/a Ratio

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

12.0079

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.011510

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

0.176

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.8037

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

6.6823

J/mol·K

Ω Parameter

0.3199

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

43.420%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.7538

smaller = more stable mixing

VEC

4.059

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-6.435

kJ/mol; negative = exothermic mixing

Entropy Norm

0.7316

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.601

Family

Interstitial Alloy

Matrix Element

O · 0.706

Related Tasks

Related computation task IDs (2)

aaabzjsh aaaebilb

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-775184

Reference Citation

The crystal structure and related material properties of Sc2(PO4)3 were obtained from the Materials Project database (MP-ID: mp-775184, 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

Loading 3D structure…

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Raw CIF Data

# generated using pymatgen
data_Sc2(PO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.12322200
_cell_length_b   9.08050700
_cell_length_c   15.48978637
_cell_angle_alpha   54.37088202
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Sc2(PO4)3
_chemical_formula_sum   'Sc8 P12 O48'
_cell_volume   1043.01376065
_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
  Sc  Sc0  1  0.53754400  0.13226100  0.11973600  1.0
  Sc  Sc1  1  0.96359000  0.37162600  0.87903800  1.0
  Sc  Sc2  1  0.46359000  0.62837400  0.62096200  1.0
  Sc  Sc3  1  0.03754400  0.86773900  0.38026400  1.0
  Sc  Sc4  1  0.96245600  0.13226100  0.61973600  1.0
  Sc  Sc5  1  0.53641000  0.37162600  0.37903800  1.0
  Sc  Sc6  1  0.03641000  0.62837400  0.12096200  1.0
  Sc  Sc7  1  0.46245600  0.86773900  0.88026400  1.0
  P  P8  1  0.74970700  0.53537200  0.49814700  1.0
  P  P9  1  0.60883800  0.24768700  0.85645700  1.0
  P  P10  1  0.89404200  0.96383900  0.14224000  1.0
  P  P11  1  0.39404200  0.03616100  0.35776000  1.0
  P  P12  1  0.10883800  0.75231300  0.64354300  1.0
  P  P13  1  0.24970700  0.46462800  0.00185300  1.0
  P  P14  1  0.75029300  0.53537200  0.99814700  1.0
  P  P15  1  0.89116200  0.24768700  0.35645700  1.0
  P  P16  1  0.60595800  0.96383900  0.64224000  1.0
  P  P17  1  0.10595800  0.03616100  0.85776000  1.0
  P  P18  1  0.39116200  0.75231300  0.14354300  1.0
  P  P19  1  0.25029300  0.46462800  0.50185300  1.0
  O  O20  1  0.16002200  0.63747600  0.42594000  1.0
  O  O21  1  0.33475200  0.48360000  0.58115900  1.0
  O  O22  1  0.09109500  0.20507900  0.85781400  1.0
  O  O23  1  0.41621300  0.91485000  0.14848500  1.0
  O  O24  1  0.64001000  0.56373600  0.56246500  1.0
  O  O25  1  0.77162500  0.30278500  0.83618900  1.0
  O  O26  1  0.85330100  0.69913100  0.43836500  1.0
  O  O27  1  0.57011200  0.19245400  0.96849200  1.0
  O  O28  1  0.93712500  0.13340700  0.03220000  1.0
  O  O29  1  0.73359400  0.98664600  0.16311400  1.0
  O  O30  1  0.99415700  0.94487000  0.22777700  1.0
  O  O31  1  0.51170100  0.40706200  0.77386400  1.0
  O  O32  1  0.01170100  0.59293800  0.72613600  1.0
  O  O33  1  0.49415700  0.05513000  0.27222300  1.0
  O  O34  1  0.23359400  0.01335400  0.33688600  1.0
  O  O35  1  0.43712500  0.86659300  0.46780000  1.0
  O  O36  1  0.07011200  0.80754600  0.53150800  1.0
  O  O37  1  0.35330100  0.30086900  0.06163500  1.0
  O  O38  1  0.27162500  0.69721500  0.66381100  1.0
  O  O39  1  0.14001000  0.43626400  0.93753500  1.0
  O  O40  1  0.91621300  0.08515000  0.35151500  1.0
  O  O41  1  0.59109500  0.79492100  0.64218600  1.0
  O  O42  1  0.83475200  0.51640000  0.91884100  1.0
  O  O43  1  0.66002200  0.36252400  0.07406000  1.0
  O  O44  1  0.33997800  0.63747600  0.92594000  1.0
  O  O45  1  0.16524800  0.48360000  0.08115900  1.0
  O  O46  1  0.40890500  0.20507900  0.35781400  1.0
  O  O47  1  0.08378700  0.91485000  0.64848500  1.0
  O  O48  1  0.85999000  0.56373600  0.06246500  1.0
  O  O49  1  0.72837500  0.30278500  0.33618900  1.0
  O  O50  1  0.64669900  0.69913100  0.93836500  1.0
  O  O51  1  0.92988800  0.19245400  0.46849200  1.0
  O  O52  1  0.56287500  0.13340700  0.53220000  1.0
  O  O53  1  0.76640600  0.98664600  0.66311400  1.0
  O  O54  1  0.50584300  0.94487000  0.72777700  1.0
  O  O55  1  0.98829900  0.40706200  0.27386400  1.0
  O  O56  1  0.48829900  0.59293800  0.22613600  1.0
  O  O57  1  0.00584300  0.05513000  0.77222300  1.0
  O  O58  1  0.26640600  0.01335400  0.83688600  1.0
  O  O59  1  0.06287500  0.86659300  0.96780000  1.0
  O  O60  1  0.42988800  0.80754600  0.03150800  1.0
  O  O61  1  0.14669900  0.30086900  0.56163500  1.0
  O  O62  1  0.22837500  0.69721500  0.16381100  1.0
  O  O63  1  0.35999000  0.43626400  0.43753500  1.0
  O  O64  1  0.58378700  0.08515000  0.85151500  1.0
  O  O65  1  0.90890500  0.79492100  0.14218600  1.0
  O  O66  1  0.66524800  0.51640000  0.41884100  1.0
  O  O67  1  0.83997800  0.36252400  0.57406000  1.0

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