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Zr8Nb12CuSi15

高熵材料 HEA

MP-ID: mp-3295067 · Space group: P1 (#1)

Basic Information

Formula
Zr8Nb12CuSi15
MP-ID
mp-3295067
Elements
4
Sites
36
Density
6.4100
g/cm³
Volume
603.47
ų
Cell a
6.8986
Å
Cell b
6.8839
Å
Cell c
12.7076
Å
α Angle
90.03
°
β Angle
90.05
°
γ Angle
89.96
°
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
6.96 12.7076 4.1 (0,0,1)
12.86 6.8839 1.2 (0,1,0)
14.60 6.0651 2.1 (1,0,-1)
14.62 6.0605 8.3 (1,0,1)
14.63 6.0540 8.9 (0,1,-1)
14.64 6.0516 9.9 (0,1,1)
18.20 4.8743 4.5 (1,1,0)
18.21 4.8713 3.0 (1,-1,0)
19.01 4.6679 2.5 (0,1,2)
22.99 3.8692 3.1 (1,1,-2)
23.00 3.8665 2.0 (1,-1,-2)
23.01 3.8656 6.9 (1,1,2)
23.01 3.8653 4.7 (1,-1,2)
25.83 3.4493 6.2 (2,0,0)
25.89 3.4419 2.5 (0,2,0)
26.77 3.3296 9.4 (2,0,-1)
26.79 3.3281 7.0 (2,0,1)
26.83 3.3226 11.1 (0,2,-1)
26.84 3.3218 6.6 (0,2,1)
27.89 3.1988 26.9 (1,1,-3)
27.91 3.1969 22.0 (1,-1,-3)
27.92 3.1959 26.5 (1,-1,3)
27.92 3.1957 26.3 (1,1,3)
28.09 3.1769 1.1 (0,0,4)
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Energy Properties

Formation Energy/atom
-0.87692
eV/atom
Energy/atom
-18.13415
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-18.1342
eV/atom
Volume/atom
16.76
ų
c/a Ratio
1.8421

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0010
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 · 0.417
Element Family
Metalloid-Nonmetal
Solute Fraction
0.583
Interstitial Fraction
0.417
Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.1648
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
9.6839
J/mol·K
Ω Parameter
0.3967
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
12.964%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2254
smaller = more stable mixing
VEC
4.528
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-52.003
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8402
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3295067
Reference Citation

The crystal structure and related material properties of Zr8Nb12CuSi15 were obtained from the Materials Project database (MP-ID: mp-3295067, 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_Zr8Nb12CuSi15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.89856111
_cell_length_b   6.88387658
_cell_length_c   12.70758054
_cell_angle_alpha   90.02718103
_cell_angle_beta   90.05283124
_cell_angle_gamma   89.96425536
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Zr8Nb12CuSi15
_chemical_formula_sum   'Zr8 Nb12 Cu1 Si15'
_cell_volume   603.46785879
_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
  Zr  Zr0  1  0.00150659  0.65874777  0.03157306  1.0
  Zr  Zr1  1  0.99802740  0.33994963  0.53162202  1.0
  Zr  Zr2  1  0.65890155  0.00112631  0.96853490  1.0
  Zr  Zr3  1  0.15898546  0.49772890  0.78234067  1.0
  Zr  Zr4  1  0.84002714  0.50235532  0.28187828  1.0
  Zr  Zr5  1  0.49840837  0.15902486  0.21780150  1.0
  Zr  Zr6  1  0.49959042  0.83976303  0.71715211  1.0
  Zr  Zr7  1  0.34363874  0.00021612  0.46832392  1.0
  Nb  Nb8  1  0.35309266  0.50279933  0.37549821  1.0
  Nb  Nb9  1  0.84719431  0.99588365  0.37287513  1.0
  Nb  Nb10  1  0.00396929  0.15220902  0.12681508  1.0
  Nb  Nb11  1  0.99504402  0.84749614  0.62907071  1.0
  Nb  Nb12  1  0.65191349  0.49539234  0.87659977  1.0
  Nb  Nb13  1  0.50238020  0.34975235  0.62349340  1.0
  Nb  Nb14  1  0.49587098  0.65211341  0.12332179  1.0
  Nb  Nb15  1  0.15239792  0.00350884  0.87325452  1.0
  Nb  Nb16  1  0.66827487  0.67104151  0.50089950  1.0
  Nb  Nb17  1  0.82976735  0.16992345  0.75001553  1.0
  Nb  Nb18  1  0.17098343  0.83064967  0.24947720  1.0
  Nb  Nb19  1  0.32928609  0.32960948  0.00026469  1.0
  Cu  Cu20  1  0.04694195  0.70036650  0.43815130  1.0
  Si  Si21  1  0.95452650  0.29717479  0.93725608  1.0
  Si  Si22  1  0.70463001  0.04592161  0.56259879  1.0
  Si  Si23  1  0.20125063  0.45527454  0.18861790  1.0
  Si  Si24  1  0.79853254  0.54509107  0.68626120  1.0
  Si  Si25  1  0.45425833  0.20153345  0.81255621  1.0
  Si  Si26  1  0.54566268  0.79808803  0.31348523  1.0
  Si  Si27  1  0.29738589  0.95449125  0.06299388  1.0
  Si  Si28  1  0.86370050  0.79103180  0.82228737  1.0
  Si  Si29  1  0.13513485  0.20888976  0.32429082  1.0
  Si  Si30  1  0.79221273  0.86376123  0.17830388  1.0
  Si  Si31  1  0.28687705  0.63761422  0.56815593  1.0
  Si  Si32  1  0.70876027  0.36495294  0.07272972  1.0
  Si  Si33  1  0.63826548  0.29265975  0.42731688  1.0
  Si  Si34  1  0.36448477  0.70823366  0.92742150  1.0
  Si  Si35  1  0.20811748  0.13562226  0.67676034  1.0
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