Navigation

HEAS Data Platform · Materials Science Database

Pr3BeCrS7

High-Entropy Materials HEA

MP-ID: mp-1191063 · Space group: P6_3 (#173)

Basic Information

Formula
Pr3BeCrS7
MP-ID
mp-1191063
Elements
4
Sites
24
Density
4.4774
g/cm³
Volume
525.30
ų
Cell a
10.0305
Å
Cell b
10.0305
Å
Cell c
6.0288
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3
Point Group
6
Crystal System
Hexagonal
Bravais Lattice
Hexagonal P
Stability
No
Packing Fraction
0.7400

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
10.18 8.6867 10.9 (1,0,-1,0)
17.68 5.0153 1.0 (2,-1,-1,0)
17.91 4.9528 80.1 (1,0,-1,1)
20.45 4.3433 8.2 (2,0,-2,0)
23.07 3.8556 55.8 (2,-1,-1,1)
25.27 3.5240 100.0 (2,0,-2,1)
27.16 3.2833 81.0 (3,-1,-2,0)
29.64 3.0144 24.2 (0,0,0,2)
30.88 2.8956 1.7 (3,0,-3,0)
31.02 2.8834 28.5 (3,-1,-2,1)
31.41 2.8478 1.6 (1,0,-1,2)
34.36 2.6101 72.4 (3,0,-3,1)
34.72 2.5836 31.3 (2,-1,-1,2)
35.81 2.5076 16.5 (4,-2,-2,0)
36.28 2.4764 42.9 (2,0,-2,2)
37.32 2.4093 24.6 (4,-1,-3,0)
38.90 2.3153 1.6 (4,-2,-2,1)
40.31 2.2372 65.8 (4,-1,-3,1)
40.63 2.2205 66.0 (3,-1,-2,2)
41.59 2.1717 3.9 (4,0,-4,0)
43.33 2.0882 8.9 (3,0,-3,2)
44.34 2.0432 2.2 (4,0,-4,1)
45.52 1.9929 5.1 (5,-2,-3,0)
46.38 1.9579 10.5 (1,0,-1,3)
Get direct link

Energy Properties

Formation Energy/atom
-1.86500
eV/atom
Energy/atom
-6.59339
eV/atom
Energy above Hull
0.0282
eV/atom
Uncorrected Energy
-6.3000
eV/atom
Volume/atom
21.89
ų
c/a Ratio
0.6010

Electronic Properties

Metallic
Metal
Band Gap
0
eV
Direct Gap
No
CBM
N/A
eV

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
6.0020
μB
Mag. Ordering
FM
Mag. Sites
2
Magnetization/Volume
0.011430
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
S · 0.583
Element Family
Metalloid-Nonmetal
Solute Fraction
0.417
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0751
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.9387
J/mol·K
Ω Parameter
0.9661
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
27.368%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6382
smaller = more stable mixing
VEC
4.917
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-7.774
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7755
SS Former
0
Phase Tendency
IM

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1191063
Reference Citation

The crystal structure and related material properties of Pr3BeCrS7 were obtained from the Materials Project database (MP-ID: mp-1191063, 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…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Pr3BeCrS7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   10.03049210
_cell_length_b   10.03049210
_cell_length_c   6.02878700
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   120.00000066
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Pr3BeCrS7
_chemical_formula_sum   'Pr6 Be2 Cr2 S14'
_cell_volume   525.29715602
_cell_formula_units_Z   2
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
  Pr  Pr0  1  0.75136200  0.14150600  0.74288400  1.0
  Pr  Pr1  1  0.39014400  0.24863800  0.74288400  1.0
  Pr  Pr2  1  0.85849400  0.60985600  0.74288400  1.0
  Pr  Pr3  1  0.24863800  0.85849400  0.24288400  1.0
  Pr  Pr4  1  0.60985600  0.75136200  0.24288400  1.0
  Pr  Pr5  1  0.14150600  0.39014400  0.24288400  1.0
  Be  Be6  1  0.66666700  0.33333300  0.15852600  1.0
  Be  Be7  1  0.33333300  0.66666700  0.65852600  1.0
  Cr  Cr8  1  0.00000000  0.00000000  0.52258000  1.0
  Cr  Cr9  1  0.00000000  0.00000000  0.02258000  1.0
  S  S10  1  0.86005600  0.07885700  0.27598000  1.0
  S  S11  1  0.21880100  0.13994400  0.27598000  1.0
  S  S12  1  0.92114300  0.78119900  0.27598000  1.0
  S  S13  1  0.13994400  0.92114300  0.77598000  1.0
  S  S14  1  0.78119900  0.86005600  0.77598000  1.0
  S  S15  1  0.07885700  0.21880100  0.77598000  1.0
  S  S16  1  0.88982600  0.41022000  0.02895600  1.0
  S  S17  1  0.52039400  0.11017400  0.02895600  1.0
  S  S18  1  0.58978000  0.47960600  0.02895600  1.0
  S  S19  1  0.11017400  0.58978000  0.52895600  1.0
  S  S20  1  0.47960600  0.88982600  0.52895600  1.0
  S  S21  1  0.41022000  0.52039400  0.52895600  1.0
  S  S22  1  0.66666700  0.33333300  0.50754700  1.0
  S  S23  1  0.33333300  0.66666700  0.00754700  1.0
Get direct link