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Zr4BeNb6Si7

High-Entropy Materials HEA

MP-ID: mp-3292356 · Space group: P2_1 (#4)

Basic Information

Formula
Zr4BeNb6Si7
MP-ID
mp-3292356
Elements
4
Sites
36
Density
6.2743
g/cm³
Volume
597.04
ų
Cell a
6.8738
Å
Cell b
6.8642
Å
Cell c
12.6537
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
89.86
°
Space Group
P2_1
Point Group
2
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
14.67 6.0401 5.9 (1,0,1)
14.68 6.0336 2.6 (0,1,1)
18.24 4.8631 1.6 (1,1,0)
18.29 4.8512 3.4 (1,-1,0)
19.06 4.6551 2.2 (1,0,2)
23.07 3.8557 4.3 (1,1,2)
23.10 3.8497 5.5 (1,-1,2)
25.92 3.4369 1.3 (2,0,0)
25.96 3.4321 3.1 (0,2,0)
26.88 3.3167 11.6 (2,0,1)
26.92 3.3124 11.1 (0,2,1)
28.00 3.1864 29.0 (1,1,3)
28.03 3.1830 32.3 (1,-1,3)
29.05 3.0736 2.4 (1,2,0)
29.58 3.0201 34.4 (2,0,2)
29.61 3.0168 34.6 (0,2,2)
29.89 2.9891 14.3 (2,1,1)
29.92 2.9868 12.1 (1,2,1)
29.95 2.9836 14.1 (2,-1,1)
29.97 2.9813 14.6 (1,-2,1)
31.12 2.8737 13.4 (1,0,4)
31.13 2.8730 11.9 (0,1,4)
32.36 2.7665 6.7 (2,1,2)
32.38 2.7646 5.9 (1,2,2)
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Energy Properties

Formation Energy/atom
-0.86827
eV/atom
Energy/atom
-17.82149
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-17.8215
eV/atom
Volume/atom
16.58
ų
c/a Ratio
1.8409

Electronic Properties

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

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0103
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000020
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Si · 0.389
Element Family
Metalloid-Nonmetal
Solute Fraction
0.611
Interstitial Fraction
0.389

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2283
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.2122
J/mol·K
Ω Parameter
0.4326
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.438%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.2196
smaller = more stable mixing
VEC
4.222
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-50.338
kJ/mol; negative = exothermic mixing
Entropy Norm
0.8860
SS Former
0
Phase Tendency
AM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3292356
Reference Citation

The crystal structure and related material properties of Zr4BeNb6Si7 were obtained from the Materials Project database (MP-ID: mp-3292356, 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_Zr4BeNb6Si7
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.87380938
_cell_length_b   6.86417544
_cell_length_c   12.65373597
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   89.85961518
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Zr4BeNb6Si7
_chemical_formula_sum   'Zr8 Be2 Nb12 Si14'
_cell_volume   597.03985652
_cell_formula_units_Z   2
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  0.00163016  0.65601072  0.03086089  1.0
  Zr  Zr1  1  0.99836984  0.34398928  0.53086089  1.0
  Zr  Zr2  1  0.65960522  0.00151021  0.96804281  1.0
  Zr  Zr3  1  0.15533832  0.49548697  0.78418630  1.0
  Zr  Zr4  1  0.84466168  0.50451303  0.28418630  1.0
  Zr  Zr5  1  0.50117697  0.15947967  0.21734199  1.0
  Zr  Zr6  1  0.49882303  0.84052033  0.71734199  1.0
  Zr  Zr7  1  0.34039478  0.99848979  0.46804281  1.0
  Be  Be8  1  0.05142962  0.70281272  0.43868880  1.0
  Be  Be9  1  0.94857038  0.29718728  0.93868880  1.0
  Nb  Nb10  1  0.34861840  0.50492427  0.37637280  1.0
  Nb  Nb11  1  0.85201144  0.99041820  0.37505074  1.0
  Nb  Nb12  1  0.00592660  0.15190159  0.12587994  1.0
  Nb  Nb13  1  0.99407340  0.84809841  0.62587994  1.0
  Nb  Nb14  1  0.65138160  0.49507573  0.87637280  1.0
  Nb  Nb15  1  0.50179493  0.35069539  0.62326985  1.0
  Nb  Nb16  1  0.49820507  0.64930461  0.12326985  1.0
  Nb  Nb17  1  0.14798856  0.00958180  0.87505074  1.0
  Nb  Nb18  1  0.67244819  0.67135234  0.50027462  1.0
  Nb  Nb19  1  0.82907503  0.17116760  0.75115410  1.0
  Nb  Nb20  1  0.17092497  0.82883240  0.25115410  1.0
  Nb  Nb21  1  0.32755181  0.32864766  0.00027462  1.0
  Si  Si22  1  0.70253241  0.04745809  0.56310621  1.0
  Si  Si23  1  0.20161555  0.45427253  0.18733448  1.0
  Si  Si24  1  0.79838445  0.54572747  0.68733448  1.0
  Si  Si25  1  0.45306752  0.20230118  0.81321044  1.0
  Si  Si26  1  0.54693248  0.79769882  0.31321044  1.0
  Si  Si27  1  0.29746759  0.95254191  0.06310621  1.0
  Si  Si28  1  0.86471065  0.79107652  0.82335696  1.0
  Si  Si29  1  0.13528935  0.20892348  0.32335696  1.0
  Si  Si30  1  0.79402565  0.86317440  0.17747938  1.0
  Si  Si31  1  0.28418583  0.63750175  0.56775756  1.0
  Si  Si32  1  0.71581417  0.36249825  0.06775756  1.0
  Si  Si33  1  0.63741088  0.29154307  0.42663212  1.0
  Si  Si34  1  0.36258912  0.70845693  0.92663212  1.0
  Si  Si35  1  0.20597435  0.13682560  0.67747938  1.0
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