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Pr2Fe2Si2C

High-Entropy Materials HEA

MP-ID: mp-1025194 · Space group: C2/m (#12)

Basic Information

Formula
Pr2Fe2Si2C
MP-ID
mp-1025194
Elements
4
Sites
7
Density
6.4065
g/cm³
Volume
119.67
ų
Cell a
5.7700
Å
Cell b
5.7700
Å
Cell c
7.0098
Å
α Angle
54.94
°
β Angle
54.94
°
γ Angle
40.42
°
Space Group
C2/m
Point Group
2/m
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
15.99 5.5432 3.5 (0,0,1)
16.71 5.3067 4.8 (1,1,1)
20.74 4.2819 18.9 (1,1,0)
24.63 3.6144 99.3 (1,0,0)
25.44 3.5014 55.9 (1,1,2)
25.71 3.4647 4.3 (1,0,1)
32.30 2.7716 32.1 (0,0,2)
32.89 2.7229 33.7 (0,1,-1)
32.89 2.7229 33.7 (1,0,-1)
33.37 2.6855 61.8 (1,1,-1)
33.63 2.6649 100.0 (2,1,1)
33.78 2.6534 49.8 (2,2,2)
34.45 2.6033 44.8 (2,2,1)
35.35 2.5388 78.0 (1,0,2)
35.35 2.5388 78.0 (0,1,2)
36.05 2.4916 52.2 (2,1,2)
38.80 2.3210 68.7 (2,1,0)
39.56 2.2780 16.6 (1,1,3)
40.50 2.2271 31.5 (2,2,3)
42.21 2.1409 1.3 (2,2,0)
45.50 1.9935 58.8 (1,-1,0)
46.13 1.9676 2.4 (1,0,-2)
47.79 1.9031 5.8 (3,2,2)
48.87 1.8638 3.1 (1,1,-2)
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Energy Properties

Formation Energy/atom
-0.57379
eV/atom
Energy/atom
-7.23274
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-16.9352
eV/atom
Volume/atom
17.10
ų
c/a Ratio
1.2149

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0001
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pr · 0.286
Element Family
Lanthanide
Solute Fraction
0.714
Interstitial Fraction
0.429

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.3518
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
11.2387
J/mol·K
Ω Parameter
1.0012
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
27.131%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.4577
smaller = more stable mixing
VEC
4.857
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-21.224
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9751
SS Former
0
Phase Tendency
AM

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-1025194
Reference Citation

The crystal structure and related material properties of Pr2Fe2Si2C were obtained from the Materials Project database (MP-ID: mp-1025194, 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_Pr2Fe2Si2C
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.77000975
_cell_length_b   5.77000994
_cell_length_c   7.00981694
_cell_angle_alpha   54.94184462
_cell_angle_beta   54.94184030
_cell_angle_gamma   40.42270786
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Pr2Fe2Si2C
_chemical_formula_sum   'Pr2 Fe2 Si2 C1'
_cell_volume   119.66692220
_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
  Pr  Pr0  1  0.44318692  0.44318692  0.30152584  1.0
  Pr  Pr1  1  0.55681308  0.55681308  0.69847416  1.0
  Fe  Fe2  1  0.80779004  0.80779004  0.08313339  1.0
  Fe  Fe3  1  0.19220996  0.19220996  0.91686661  1.0
  Si  Si4  1  0.81394243  0.81394243  0.75236351  1.0
  Si  Si5  1  0.18605757  0.18605757  0.24763649  1.0
  C  C6  1  0.00000000  0.00000000  0.00000000  1.0
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