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Sr3BiP

High-Entropy Materials HEA Traditional Materials TRA Elasticity Data ELA

MP-ID: mp-1013643 · Space group: Pm-3m (#221)

Basic Information

Formula
Sr3BiP
MP-ID
mp-1013643
Elements
3
Sites
5
Density
4.3312
g/cm³
Volume
192.77
ų
Cell a
5.7768
Å
Cell b
5.7768
Å
Cell c
5.7768
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pm-3m
Point Group
m-3m
Crystal System
Cubic
Bravais Lattice
cP
Stability
No
Packing Fraction
0.5236

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 23)
2θd (Å)Ihkl
15.34 5.7768 8.9 (1,0,0)
21.76 4.0848 28.2 (1,1,0)
26.73 3.3352 100.0 (1,1,1)
30.96 2.8884 67.6 (2,0,0)
34.72 2.5834 6.1 (2,1,0)
38.16 2.3584 13.6 (2,1,1)
44.35 2.0424 50.1 (2,2,0)
47.20 1.9256 3.5 (2,2,1)
49.92 1.8268 6.5 (3,1,0)
52.54 1.7418 47.5 (3,1,1)
55.07 1.6676 17.6 (2,2,2)
57.52 1.6022 1.6 (3,2,0)
59.91 1.5439 7.6 (3,2,1)
64.53 1.4442 8.2 (4,0,0)
66.77 1.4011 2.2 (4,1,0)
68.97 1.3616 3.8 (4,1,1)
71.14 1.3253 19.5 (3,3,1)
73.28 1.2917 23.0 (4,2,0)
75.40 1.2606 1.6 (4,2,1)
77.50 1.2316 1.9 (3,3,2)
81.65 1.1792 17.5 (4,2,2)
85.76 1.1329 4.6 (4,3,1)
87.81 1.1117 15.7 (5,1,1)
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Energy Properties

Formation Energy/atom
-1.09545
eV/atom
Energy/atom
-23.68372
eV/atom
Energy above Hull
0.0444
eV/atom
Uncorrected Energy
-3.7882
eV/atom
Volume/atom
38.55
ų
c/a Ratio
1.0000

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0003
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

KVRH
30.724
GPa
GVRH
21.813
GPa
Young's Modulus E
52.916
GPa
Poisson Ratio ν
0.213
Pugh Ratio K/G
1.409
Vickers Hardness Est.
5.131
GPa
Ductility
Ductile
Anisotropy
0.988
Lame λ
16.182
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Sr · 0.600
Element Family
Alkali-AlkEarth
Solute Fraction
0.400
Interstitial Fraction
0.200

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9503
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.9005
J/mol·K
Ω Parameter
1.5034
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
20.433%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.5684
smaller = more stable mixing
VEC
3.200
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-4.217
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8650
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.545
Family
Interstitial Alloy
Matrix Element
Sr · 0.600

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.9880
Homogeneous Poisson ν
0.2130
Debye Temperature
279.7
K
Sound Velocity
2,481.0
m/s
Homogeneity
0.2130

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1013643
Reference Citation

The crystal structure and related material properties of Sr3BiP were obtained from the Materials Project database (MP-ID: mp-1013643, 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

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Sr3BiP
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.77674900
_cell_length_b   5.77674900
_cell_length_c   5.77674900
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Sr3BiP
_chemical_formula_sum   'Sr3 Bi1 P1'
_cell_volume   192.77490311
_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
  Sr  Sr0  1  0.00000000  0.50000000  0.50000000  1.0
  Sr  Sr1  1  0.50000000  0.00000000  0.50000000  1.0
  Sr  Sr2  1  0.50000000  0.50000000  0.00000000  1.0
  Bi  Bi3  1  0.00000000  0.00000000  0.00000000  1.0
  P  P4  1  0.50000000  0.50000000  0.50000000  1.0
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