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Lu3Hf5(V3Si4)4

高熵材料 HEA

MP-ID: mp-3293611 · Space group: P1 (#1)

Basic Information

Formula
Lu3Hf5(V3Si4)4
MP-ID
mp-3293611
Elements
4
Sites
36
Density
7.6662
g/cm³
Volume
536.75
ų
Cell a
6.6191
Å
Cell b
6.6197
Å
Cell c
12.2502
Å
α Angle
90.08
°
β Angle
89.96
°
γ Angle
89.79
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
aP
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
15.20 5.8274 12.8 (0,1,-1)
15.21 5.8252 13.2 (1,0,1)
15.22 5.8214 12.3 (1,0,-1)
15.22 5.8202 14.0 (0,1,1)
18.93 4.6891 65.3 (1,1,0)
19.00 4.6721 59.3 (1,-1,0)
19.73 4.4991 8.4 (0,1,-2)
19.74 4.4973 8.7 (1,0,2)
19.76 4.4938 8.8 (1,0,-2)
19.76 4.4925 8.1 (0,1,2)
20.28 4.3800 52.6 (1,1,-1)
20.28 4.3785 52.5 (1,1,1)
20.33 4.3677 55.8 (1,-1,1)
20.35 4.3631 51.6 (1,-1,-1)
25.62 3.4777 23.7 (0,1,-3)
25.62 3.4765 22.8 (1,0,3)
25.64 3.4741 23.0 (1,0,-3)
25.65 3.4731 22.7 (0,1,3)
26.94 3.3098 11.5 (0,2,0)
26.94 3.3095 11.2 (2,0,0)
27.91 3.1964 21.2 (0,2,-1)
27.92 3.1956 21.0 (2,0,1)
27.93 3.1943 21.2 (2,0,-1)
27.93 3.1941 20.4 (0,2,1)
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Energy Properties

Formation Energy/atom
-0.77580
eV/atom
Energy/atom
-18.81613
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-18.8161
eV/atom
Volume/atom
14.91
ų
c/a Ratio
1.8508

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0113
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000020
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 0.444
Element Family
Metalloid-Nonmetal
Solute Fraction
0.556
Interstitial Fraction
0.444
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2079
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.0422
J/mol·K
Ω Parameter
0.4765
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
14.129%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2374
smaller = more stable mixing
VEC
4.167
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-41.852
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8713
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3293611
Reference Citation

The crystal structure and related material properties of Lu3Hf5(V3Si4)4 were obtained from the Materials Project database (MP-ID: mp-3293611, 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_Lu3Hf5(V3Si4)4
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.61906741
_cell_length_b   6.61967103
_cell_length_c   12.25022021
_cell_angle_alpha   90.08451168
_cell_angle_beta   89.95576169
_cell_angle_gamma   89.79228130
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Lu3Hf5(V3Si4)4
_chemical_formula_sum   'Lu3 Hf5 V12 Si16'
_cell_volume   536.75197331
_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
  Lu  Lu0  1  0.99978910  0.33741987  0.53017617  1.0
  Lu  Lu1  1  0.66300451  0.99989547  0.97061161  1.0
  Lu  Lu2  1  0.33786837  0.99947438  0.46955925  1.0
  Hf  Hf3  1  0.00527430  0.65870816  0.03100184  1.0
  Hf  Hf4  1  0.83760943  0.50453029  0.28004199  1.0
  Hf  Hf5  1  0.16196345  0.49558333  0.78089292  1.0
  Hf  Hf6  1  0.50494319  0.83753450  0.71994140  1.0
  Hf  Hf7  1  0.49590784  0.16206216  0.21798362  1.0
  V  V8  1  0.33061664  0.33564182  0.00010280  1.0
  V  V9  1  0.16565405  0.83295170  0.24880753  1.0
  V  V10  1  0.83463314  0.16547998  0.75093795  1.0
  V  V11  1  0.66710351  0.66683461  0.49999996  1.0
  V  V12  1  0.00342700  0.16087459  0.12642912  1.0
  V  V13  1  0.34253581  0.50682766  0.37409387  1.0
  V  V14  1  0.65774959  0.49583866  0.87656535  1.0
  V  V15  1  0.50681308  0.34256582  0.62537037  1.0
  V  V16  1  0.49241316  0.65851668  0.12383578  1.0
  V  V17  1  0.99516102  0.83940516  0.62874552  1.0
  V  V18  1  0.15759026  0.00499659  0.87388433  1.0
  V  V19  1  0.84027407  0.99414914  0.37135281  1.0
  Si  Si20  1  0.28780931  0.96032402  0.06393151  1.0
  Si  Si21  1  0.53977617  0.79197690  0.31295346  1.0
  Si  Si22  1  0.46103010  0.20864102  0.81450676  1.0
  Si  Si23  1  0.79202867  0.53919280  0.68670664  1.0
  Si  Si24  1  0.20776724  0.46085275  0.18553646  1.0
  Si  Si25  1  0.71006416  0.03803319  0.56422471  1.0
  Si  Si26  1  0.95992697  0.29291456  0.93602683  1.0
  Si  Si27  1  0.03843700  0.70951766  0.43579467  1.0
  Si  Si28  1  0.70456791  0.37574422  0.07170509  1.0
  Si  Si29  1  0.12538603  0.20610793  0.31681106  1.0
  Si  Si30  1  0.87493278  0.79133572  0.82064341  1.0
  Si  Si31  1  0.20692594  0.12512922  0.68281930  1.0
  Si  Si32  1  0.79520501  0.87203610  0.17978210  1.0
  Si  Si33  1  0.29800326  0.62764264  0.57160175  1.0
  Si  Si34  1  0.37018633  0.70392349  0.92849429  1.0
  Si  Si35  1  0.62762361  0.29733520  0.42812977  1.0
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