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Sr3PrTi4O12

高熵材料 HEA

MP-ID: mp-3294080 · Space group: C2 (#5)

Basic Information

Formula
Sr3PrTi4O12
MP-ID
mp-3294080
Elements
4
Sites
20
Density
5.4521
g/cm³
Volume
239.76
ų
Cell a
5.5319
Å
Cell b
5.5319
Å
Cell c
9.5579
Å
α Angle
73.35
°
β Angle
73.35
°
γ Angle
60.32
°
Space Group
C2
Point Group
2
Crystal System
Monoclinic
Bravais Lattice
mC
Stability
Yes
Packing Fraction
-

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
9.81 9.0181 7.3 (0,0,1)
18.75 4.7331 4.3 (1,0,0)
18.85 4.7080 2.3 (1,1,1)
19.61 4.5270 3.7 (1,0,1)
19.67 4.5129 1.7 (1,1,0)
19.69 4.5091 1.8 (0,0,2)
22.68 3.9200 17.4 (1,0,-1)
22.80 3.9007 9.1 (1,1,2)
24.79 3.5911 2.8 (1,0,2)
24.82 3.5880 1.2 (1,1,-1)
29.64 3.0137 1.0 (1,0,-2)
32.21 2.7793 47.7 (1,-1,0)
32.37 2.7659 99.6 (2,1,1)
32.39 2.7645 49.3 (1,1,-2)
32.39 2.7641 100.0 (1,0,3)
38.02 2.3665 1.1 (2,0,0)
38.03 2.3660 1.3 (1,-1,2)
38.21 2.3555 1.8 (2,1,3)
39.83 2.2635 30.7 (2,0,2)
39.96 2.2564 16.0 (2,2,0)
39.99 2.2545 16.2 (0,0,4)
46.32 1.9600 74.0 (2,0,-2)
46.57 1.9503 35.2 (2,2,4)
52.06 1.7569 1.7 (2,-1,-1)
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Energy Properties

Formation Energy/atom
-3.47460
eV/atom
Energy/atom
-13.38771
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-13.3877
eV/atom
Volume/atom
11.99
ų
c/a Ratio
1.7278

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.8276
μB
Mag. Ordering
FM
Mag. Sites
2
Magnetization/Volume
0.003450
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.600
Element Family
Metalloid-Nonmetal
Solute Fraction
0.400
Interstitial Fraction
0.000
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.0627
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
8.8356
J/mol·K
Ω Parameter
0.0588
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
54.404%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
1.0787
smaller = more stable mixing
VEC
3.650
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-96.000
kJ/mol; negative = exothermic mixing
Entropy Norm
0.7666
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294080
Reference Citation

The crystal structure and related material properties of Sr3PrTi4O12 were obtained from the Materials Project database (MP-ID: mp-3294080, 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_Sr3PrTi4O12
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.53188357
_cell_length_b   5.53188346
_cell_length_c   9.55790840
_cell_angle_alpha   73.35397496
_cell_angle_beta   73.35397642
_cell_angle_gamma   60.32045866
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Sr3PrTi4O12
_chemical_formula_sum   'Sr3 Pr1 Ti4 O12'
_cell_volume   239.76456896
_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  0.12285120  0.87714880  0.50000000  1.0
  Sr  Sr1  1  0.37664092  0.12411903  0.74767436  1.0
  Sr  Sr2  1  0.87588097  0.62335908  0.25232564  1.0
  Pr  Pr3  1  0.61949697  0.38050303  1.00000000  1.0
  Ti  Ti4  1  0.24818559  0.00077712  0.12719175  1.0
  Ti  Ti5  1  0.75186296  0.49958901  0.62286046  1.0
  Ti  Ti6  1  0.99922288  0.75181441  0.87280825  1.0
  Ti  Ti7  1  0.50041099  0.24813704  0.37713954  1.0
  O  O8  1  0.91583131  0.57573597  0.75556706  1.0
  O  O9  1  0.42426403  0.08416869  0.24443294  1.0
  O  O10  1  0.06031094  0.93968906  0.00000000  1.0
  O  O11  1  0.58420315  0.41579685  0.50000000  1.0
  O  O12  1  0.63630918  0.88361911  0.50958583  1.0
  O  O13  1  0.15530209  0.38646988  0.01090264  1.0
  O  O14  1  0.61353012  0.84469791  0.98909736  1.0
  O  O15  1  0.11638089  0.36369082  0.49041417  1.0
  O  O16  1  0.38998828  0.63470751  0.76747385  1.0
  O  O17  1  0.88535813  0.14132410  0.25759161  1.0
  O  O18  1  0.36529249  0.61001172  0.23252615  1.0
  O  O19  1  0.85867590  0.11464187  0.74240839  1.0
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