Mg14CuSiO16

High-Entropy Materials HEA

MP-ID: mp-1035222 · Space group: P4/mmm (#123)

Materials Project API

Basic Information

Formula

Mg14CuSiO16

MP-ID

mp-1035222

Elements

Sites

Density

3.6465

g/cm³

Volume

313.25

Å³

Cell a

8.5783

Cell b

8.5783

Cell c

4.2568

α Angle

90.00

β Angle

90.00

γ Angle

90.00

Space Group

P4/mmm

Point Group

4/mmm

Crystal System

Tetragonal

Bravais Lattice

Stability

Packing Fraction

X-ray Diffraction

Diffraction Pattern

Target / Radiation

X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å

Diffraction Peaks (Top 24)

2θ	d (Å)	I	hkl
10.31	8.5783	7.7	(1,0,0)
14.60	6.0658	6.5	(1,1,0)
20.71	4.2891	3.2	(2,0,0)
20.87	4.2568	1.4	(0,0,1)
23.19	3.8363	1.8	(2,1,0)
23.33	3.8132	2.2	(1,0,1)
25.56	3.4844	3.2	(1,1,1)
29.45	3.0329	1.4	(2,2,0)
29.57	3.0214	2.6	(2,0,1)
31.39	2.8498	1.2	(2,1,1)
33.02	2.7127	1.7	(3,1,0)
36.37	2.4701	23.9	(2,2,1)
37.81	2.3792	2.5	(3,2,0)
37.91	2.3736	1.7	(3,0,1)
39.39	2.2877	2.2	(3,1,1)
42.14	2.1446	100.0	(4,0,0)
42.47	2.1284	49.9	(0,0,2)
43.58	2.0768	5.0	(3,2,1)
58.15	1.5863	1.2	(3,2,2)
61.11	1.5164	27.8	(4,4,0)
61.37	1.5107	55.9	(4,0,2)
73.24	1.2923	10.0	(6,2,1)
73.71	1.2852	4.7	(2,2,3)
77.25	1.2350	25.0	(4,4,2)

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Energy Properties

Formation Energy/atom

-2.77028

eV/atom

Energy/atom

-6.25523

eV/atom

Energy above Hull

0.2113

eV/atom

Uncorrected Energy

-5.9117

eV/atom

Volume/atom

9.79

Å³

c/a Ratio

0.4962

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Total Mag. Moment

0.0018

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.000010

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.500

Element Family

Metalloid-Nonmetal

Solute Fraction

0.500

Interstitial Fraction

0.031

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.9249

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

7.6892

J/mol·K

Ω Parameter

2.3602

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

45.028%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

1.0373

smaller = more stable mixing

VEC

3.344

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-1.715

kJ/mol; negative = exothermic mixing

Entropy Norm

0.6671

SS Former

Phase Tendency

Related Tasks

Related computation task IDs (2)

aaacgxne aaadyxni

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1035222

Reference Citation

The crystal structure and related material properties of Mg14CuSiO16 were obtained from the Materials Project database (MP-ID: mp-1035222, 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

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Raw CIF Data

# generated using pymatgen
data_Mg14CuSiO16
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   8.57828800
_cell_length_b   8.57828800
_cell_length_c   4.25683300
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Mg14CuSiO16
_chemical_formula_sum   'Mg14 Cu1 Si1 O16'
_cell_volume   313.24767644
_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
  Mg  Mg0  1  0.50000000  0.00000000  0.00000000  1.0
  Mg  Mg1  1  0.00000000  0.50000000  0.00000000  1.0
  Mg  Mg2  1  0.24528300  0.00000000  0.50000000  1.0
  Mg  Mg3  1  0.75471700  0.00000000  0.50000000  1.0
  Mg  Mg4  1  0.24711900  0.50000000  0.50000000  1.0
  Mg  Mg5  1  0.75288100  0.50000000  0.50000000  1.0
  Mg  Mg6  1  0.00000000  0.24528300  0.50000000  1.0
  Mg  Mg7  1  0.50000000  0.24711900  0.50000000  1.0
  Mg  Mg8  1  0.00000000  0.75471700  0.50000000  1.0
  Mg  Mg9  1  0.50000000  0.75288100  0.50000000  1.0
  Mg  Mg10  1  0.24335000  0.24335000  0.00000000  1.0
  Mg  Mg11  1  0.75665000  0.24335000  0.00000000  1.0
  Mg  Mg12  1  0.24335000  0.75665000  0.00000000  1.0
  Mg  Mg13  1  0.75665000  0.75665000  0.00000000  1.0
  Cu  Cu14  1  0.00000000  0.00000000  0.00000000  1.0
  Si  Si15  1  0.50000000  0.50000000  0.00000000  1.0
  O  O16  1  0.00000000  0.26863700  0.00000000  1.0
  O  O17  1  0.50000000  0.26704600  0.00000000  1.0
  O  O18  1  0.00000000  0.73136300  0.00000000  1.0
  O  O19  1  0.50000000  0.73295400  0.00000000  1.0
  O  O20  1  0.25088000  0.25088000  0.50000000  1.0
  O  O21  1  0.74912000  0.25088000  0.50000000  1.0
  O  O22  1  0.25088000  0.74912000  0.50000000  1.0
  O  O23  1  0.74912000  0.74912000  0.50000000  1.0
  O  O24  1  0.00000000  0.00000000  0.50000000  1.0
  O  O25  1  0.50000000  0.00000000  0.50000000  1.0
  O  O26  1  0.00000000  0.50000000  0.50000000  1.0
  O  O27  1  0.50000000  0.50000000  0.50000000  1.0
  O  O28  1  0.26863700  0.00000000  0.00000000  1.0
  O  O29  1  0.73136300  0.00000000  0.00000000  1.0
  O  O30  1  0.26704600  0.50000000  0.00000000  1.0
  O  O31  1  0.73295400  0.50000000  0.00000000  1.0

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