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La9Pr3(Si7Br3)2

高熵材料 HEA

MP-ID: mp-3293347 · Space group: Pm (#6)

Basic Information

Formula
La9Pr3(Si7Br3)2
MP-ID
mp-3293347
Elements
4
Sites
32
Density
5.0863
g/cm³
Volume
831.03
ų
Cell a
4.1431
Å
Cell b
11.8818
Å
Cell c
16.8814
Å
α Angle
89.87
°
β Angle
90.00
°
γ Angle
90.00
°
Space Group
Pm
Point Group
m
Crystal System
Monoclinic
Bravais Lattice
mP
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
9.09 9.7267 4.0 (0,1,1)
9.11 9.7061 3.1 (0,1,-1)
14.91 5.9409 3.4 (0,2,0)
17.42 5.0900 2.1 (0,1,3)
17.45 5.0812 2.2 (0,1,-3)
18.24 4.8633 1.1 (0,2,2)
18.28 4.8531 1.0 (0,2,-2)
21.05 4.2203 10.8 (0,0,4)
22.09 4.0237 10.1 (1,0,1)
22.34 3.9797 26.3 (0,1,4)
22.37 3.9741 25.2 (0,1,-4)
22.45 3.9606 22.7 (0,3,0)
22.73 3.9121 74.8 (1,1,0)
23.05 3.8578 1.5 (0,3,1)
23.08 3.8540 1.5 (0,3,-1)
23.34 3.8117 8.1 (1,1,1)
23.34 3.8105 7.5 (1,1,-1)
25.08 3.5504 6.0 (1,1,2)
25.10 3.5484 6.0 (1,1,-2)
25.87 3.4442 17.6 (0,2,4)
25.92 3.4369 17.6 (0,2,-4)
26.22 3.3983 9.7 (1,2,0)
26.75 3.3323 6.9 (1,2,1)
26.77 3.3307 7.5 (1,2,-1)
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Energy Properties

Formation Energy/atom
-1.20841
eV/atom
Energy/atom
-18.65532
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-18.6553
eV/atom
Volume/atom
25.97
ų
c/a Ratio
4.0746

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0016
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 0.438
Element Family
Metalloid-Nonmetal
Solute Fraction
0.563
Interstitial Fraction
0.438
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2542
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.4277
J/mol·K
Ω Parameter
0.7495
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
25.490%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.6607
smaller = more stable mixing
VEC
3.813
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-17.207
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9047
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293347
Reference Citation

The crystal structure and related material properties of La9Pr3(Si7Br3)2 were obtained from the Materials Project database (MP-ID: mp-3293347, 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_La9Pr3(Si7Br3)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.14310908
_cell_length_b   11.88182600
_cell_length_c   16.88139806
_cell_angle_alpha   89.87150805
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   La9Pr3(Si7Br3)2
_chemical_formula_sum   'La9 Pr3 Si14 Br6'
_cell_volume   831.03033028
_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
  La  La0  1  0.50000000  0.34184444  0.50221354  1.0
  La  La1  1  0.00000000  0.65736524  0.99978812  1.0
  La  La2  1  0.00000000  0.64359003  0.74452248  1.0
  La  La3  1  0.50000000  0.35626913  0.24420834  1.0
  La  La4  1  0.00000000  0.64198810  0.25625863  1.0
  La  La5  1  0.50000000  0.06781942  0.87918724  1.0
  La  La6  1  0.00000000  0.93462526  0.61927523  1.0
  La  La7  1  0.50000000  0.06613432  0.11818512  1.0
  La  La8  1  0.00000000  0.93222280  0.38053540  1.0
  Pr  Pr9  1  0.50000000  0.36026960  0.75751276  1.0
  Pr  Pr10  1  0.50000000  0.35833614  0.99939169  1.0
  Pr  Pr11  1  0.00000000  0.64088664  0.50103738  1.0
  Si  Si12  1  0.00000000  0.15493827  0.99876291  1.0
  Si  Si13  1  0.50000000  0.84537293  0.50023622  1.0
  Si  Si14  1  0.50000000  0.56373773  0.87723048  1.0
  Si  Si15  1  0.00000000  0.43566466  0.62437357  1.0
  Si  Si16  1  0.50000000  0.56219925  0.12238126  1.0
  Si  Si17  1  0.00000000  0.43619900  0.37857388  1.0
  Si  Si18  1  0.00000000  0.25705209  0.87494516  1.0
  Si  Si19  1  0.50000000  0.74421550  0.62406585  1.0
  Si  Si20  1  0.00000000  0.25551828  0.12315308  1.0
  Si  Si21  1  0.50000000  0.74284289  0.37687700  1.0
  Si  Si22  1  0.00000000  0.45860659  0.87654281  1.0
  Si  Si23  1  0.50000000  0.54173393  0.62486022  1.0
  Si  Si24  1  0.50000000  0.54119621  0.37666982  1.0
  Si  Si25  1  0.00000000  0.45707916  0.12393343  1.0
  Br  Br26  1  0.50000000  0.11154391  0.69095396  1.0
  Br  Br27  1  0.00000000  0.89344551  0.80774235  1.0
  Br  Br28  1  0.00000000  0.13712164  0.49886147  1.0
  Br  Br29  1  0.50000000  0.86237787  0.99903930  1.0
  Br  Br30  1  0.50000000  0.10625687  0.30732929  1.0
  Br  Br31  1  0.00000000  0.89154761  0.19134702  1.0
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