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K3Pr(PPt3)8

高熵材料 HEA

MP-ID: mp-3293656 · Space group: R-3 (#148)

Basic Information

Formula
K3Pr(PPt3)8
MP-ID
mp-3293656
Elements
4
Sites
36
Density
13.9806
g/cm³
Volume
616.21
ų
Cell a
8.5096
Å
Cell b
8.5096
Å
Cell c
8.5096
Å
α Angle
90.10
°
β Angle
89.90
°
γ Angle
89.90
°
Space Group
R-3
Point Group
-3
Crystal System
Trigonal
Bravais Lattice
hR
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
10.40 8.5096 4.9 (1,0,0)
14.71 6.0222 2.2 (1,1,0)
14.73 6.0122 2.6 (1,0,-1)
18.05 4.9157 81.2 (1,1,1)
18.09 4.9048 28.6 (1,-1,-1)
20.88 4.2548 4.3 (2,0,0)
23.36 3.8081 10.6 (2,1,0)
23.39 3.8031 5.2 (2,0,-1)
25.62 3.4769 2.4 (2,1,1)
25.64 3.4750 1.8 (2,1,-1)
31.52 2.8386 59.9 (2,2,1)
31.54 2.8365 32.7 (2,1,-2)
31.59 2.8323 40.1 (2,-1,-2)
34.94 2.5677 51.2 (3,1,1)
34.97 2.5661 100.0 (3,1,-1)
35.01 2.5630 47.5 (3,-1,-1)
36.56 2.4579 3.7 (2,2,2)
36.64 2.4524 2.4 (2,-2,-2)
38.10 2.3620 33.3 (3,2,0)
38.16 2.3583 22.9 (3,0,-2)
39.59 2.2762 36.8 (3,2,1)
39.60 2.2756 47.9 (3,2,-1)
39.63 2.2740 45.9 (3,1,-2)
39.68 2.2713 36.0 (3,-1,-2)
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Energy Properties

Formation Energy/atom
-0.57012
eV/atom
Energy/atom
-38.21402
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-38.2140
eV/atom
Volume/atom
17.12
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
0.0287
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000050
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pt · 0.667
Element Family
5d-TM
Solute Fraction
0.333
Interstitial Fraction
0.222
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
0.9112
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
7.5754
J/mol·K
Ω Parameter
1.7106
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
19.992%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4313
smaller = more stable mixing
VEC
7.944
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
6.611
kJ/mol; negative = exothermic mixing
Entropy Norm
0.6573
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293656
Reference Citation

The crystal structure and related material properties of K3Pr(PPt3)8 were obtained from the Materials Project database (MP-ID: mp-3293656, 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_K3Pr(PPt3)8
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.50960030
_cell_length_b   8.50960030
_cell_length_c   8.50960030
_cell_angle_alpha   90.09542681
_cell_angle_beta   89.90457319
_cell_angle_gamma   89.90457319
_symmetry_Int_Tables_number   1
_chemical_formula_structural   K3Pr(PPt3)8
_chemical_formula_sum   'K3 Pr1 P8 Pt24'
_cell_volume   616.20564870
_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
  K  K0  1  0.50000000  0.00000000  0.50000000  1.0
  K  K1  1  0.00000000  0.50000000  0.50000000  1.0
  K  K2  1  0.00000000  0.00000000  0.00000000  1.0
  Pr  Pr3  1  0.50000000  0.50000000  0.00000000  1.0
  P  P4  1  0.80761353  0.30171116  0.19458234  1.0
  P  P5  1  0.19422802  0.80577198  0.30577198  1.0
  P  P6  1  0.69828884  0.69458234  0.69238647  1.0
  P  P7  1  0.30541766  0.19238647  0.80171116  1.0
  P  P8  1  0.19238647  0.69828884  0.80541766  1.0
  P  P9  1  0.80577198  0.19422802  0.69422802  1.0
  P  P10  1  0.30171116  0.30541766  0.30761353  1.0
  P  P11  1  0.69458234  0.80761353  0.19828884  1.0
  Pt  Pt12  1  0.42194004  0.83885065  0.15250058  1.0
  Pt  Pt13  1  0.57777636  0.34605085  0.33747698  1.0
  Pt  Pt14  1  0.07709126  0.15860623  0.65459039  1.0
  Pt  Pt15  1  0.92423120  0.65697069  0.84481089  1.0
  Pt  Pt16  1  0.16252302  0.42222364  0.84605085  1.0
  Pt  Pt17  1  0.34749942  0.57805996  0.33885065  1.0
  Pt  Pt18  1  0.65518911  0.07576880  0.15697069  1.0
  Pt  Pt19  1  0.84540961  0.92290874  0.65860623  1.0
  Pt  Pt20  1  0.84139377  0.15459039  0.42290874  1.0
  Pt  Pt21  1  0.34302931  0.34481089  0.57576880  1.0
  Pt  Pt22  1  0.16114935  0.65250058  0.07805996  1.0
  Pt  Pt23  1  0.65394915  0.83747698  0.92222364  1.0
  Pt  Pt24  1  0.57805996  0.16114935  0.84749942  1.0
  Pt  Pt25  1  0.42222364  0.65394915  0.66252302  1.0
  Pt  Pt26  1  0.92290874  0.84139377  0.34540961  1.0
  Pt  Pt27  1  0.07576880  0.34302931  0.15518911  1.0
  Pt  Pt28  1  0.83747698  0.57777636  0.15394915  1.0
  Pt  Pt29  1  0.65250058  0.42194004  0.66114935  1.0
  Pt  Pt30  1  0.34481089  0.92423120  0.84302931  1.0
  Pt  Pt31  1  0.15459039  0.07709126  0.34139377  1.0
  Pt  Pt32  1  0.15860623  0.84540961  0.57709126  1.0
  Pt  Pt33  1  0.65697069  0.65518911  0.42423120  1.0
  Pt  Pt34  1  0.83885065  0.34749942  0.92194004  1.0
  Pt  Pt35  1  0.34605085  0.16252302  0.07777636  1.0
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