Mg4Cu11O15

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-758194 · Space group: Pmm2 (#25)

Materials Project API

Basic Information

Formula

Mg4Cu11O15

MP-ID

mp-758194

Elements

Sites

Density

5.5542

g/cm³

Volume

619.59

Å³

Cell a

4.0395

Cell b

9.4441

Cell c

16.2411

α Angle

90.00

β Angle

90.00

γ Angle

90.00

Space Group

Pmm2

Point Group

mm2

Crystal System

Orthorhombic

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
9.36	9.4441	3.2	(0,1,0)
10.90	8.1205	1.3	(0,0,2)
14.39	6.1573	1.8	(0,1,2)
18.79	4.7221	8.2	(0,2,0)
23.96	3.7140	14.7	(1,1,0)
26.39	3.3775	1.0	(1,1,2)
27.46	3.2482	10.0	(0,0,5)
29.07	3.0716	18.4	(0,1,5)
33.48	2.6762	32.7	(0,2,5)
35.46	2.5314	73.8	(1,0,5)
36.18	2.4831	67.1	(1,3,0)
36.76	2.4450	4.9	(1,1,5)
38.12	2.3610	4.2	(0,4,0)
39.88	2.2606	100.0	(0,3,5)
40.43	2.2310	5.1	(1,2,5)
44.88	2.0198	55.7	(2,0,0)
46.01	1.9727	4.3	(1,3,5)
47.61	1.9098	14.3	(0,4,5)
49.06	1.8570	1.4	(2,2,0)
53.04	1.7266	2.4	(1,4,5)
53.42	1.7152	2.7	(2,0,5)
53.56	1.7110	1.8	(1,5,0)
54.36	1.6876	5.4	(2,1,5)
56.35	1.6328	1.1	(0,5,5)

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Energy Properties

Formation Energy/atom

-1.43550

eV/atom

Energy/atom

-5.62992

eV/atom

Energy above Hull

0.0661

eV/atom

Uncorrected Energy

-5.2864

eV/atom

Volume/atom

10.33

Å³

c/a Ratio

4.0206

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

0.1261

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.000200

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

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

0.9831

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.1735

J/mol·K

Ω Parameter

2.7101

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

40.251%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.8685

smaller = more stable mixing

VEC

6.300

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-1.956

kJ/mol; negative = exothermic mixing

Entropy Norm

0.8949

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.483

Family

O-rich Multi-Component

Matrix Element

O · 0.500

Related Tasks

Related computation task IDs (1)

aaaedjwk

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-758194

Reference Citation

The crystal structure and related material properties of Mg4Cu11O15 were obtained from the Materials Project database (MP-ID: mp-758194, 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_Mg4Cu11O15
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.03951400
_cell_length_b   9.44412900
_cell_length_c   16.24109000
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Mg4Cu11O15
_chemical_formula_sum   'Mg8 Cu22 O30'
_cell_volume   619.59257009
_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
  Mg  Mg0  1  0.00000000  0.00000000  0.07408200  1.0
  Mg  Mg1  1  0.00000000  0.00000000  0.27341100  1.0
  Mg  Mg2  1  0.00000000  0.00000000  0.47356400  1.0
  Mg  Mg3  1  0.00000000  0.00000000  0.67354700  1.0
  Mg  Mg4  1  0.00000000  0.00000000  0.87366300  1.0
  Mg  Mg5  1  0.50000000  0.50000000  0.12571800  1.0
  Mg  Mg6  1  0.50000000  0.50000000  0.32685800  1.0
  Mg  Mg7  1  0.50000000  0.50000000  0.72706300  1.0
  Cu  Cu8  1  0.00000000  0.33412200  0.03605900  1.0
  Cu  Cu9  1  0.00000000  0.33553200  0.23457300  1.0
  Cu  Cu10  1  0.00000000  0.33528400  0.43510700  1.0
  Cu  Cu11  1  0.00000000  0.33425000  0.63608900  1.0
  Cu  Cu12  1  0.00000000  0.33515000  0.83540700  1.0
  Cu  Cu13  1  0.00000000  0.66587800  0.03605900  1.0
  Cu  Cu14  1  0.00000000  0.66446800  0.23457300  1.0
  Cu  Cu15  1  0.00000000  0.66471600  0.43510700  1.0
  Cu  Cu16  1  0.00000000  0.66575000  0.63608900  1.0
  Cu  Cu17  1  0.00000000  0.66485000  0.83540700  1.0
  Cu  Cu18  1  0.50000000  0.83495400  0.16467000  1.0
  Cu  Cu19  1  0.50000000  0.83549900  0.36283000  1.0
  Cu  Cu20  1  0.50000000  0.83583100  0.56491100  1.0
  Cu  Cu21  1  0.50000000  0.16504600  0.16467000  1.0
  Cu  Cu22  1  0.50000000  0.83506100  0.76256100  1.0
  Cu  Cu23  1  0.50000000  0.83605100  0.96515200  1.0
  Cu  Cu24  1  0.50000000  0.16450100  0.36283000  1.0
  Cu  Cu25  1  0.50000000  0.16416900  0.56491100  1.0
  Cu  Cu26  1  0.50000000  0.50000000  0.52888000  1.0
  Cu  Cu27  1  0.50000000  0.16394900  0.96515200  1.0
  Cu  Cu28  1  0.50000000  0.16493900  0.76256100  1.0
  Cu  Cu29  1  0.50000000  0.50000000  0.92873800  1.0
  O  O30  1  0.00000000  0.84516900  0.37692600  1.0
  O  O31  1  0.00000000  0.84538800  0.57689800  1.0
  O  O32  1  0.00000000  0.84567400  0.17672800  1.0
  O  O33  1  0.00000000  0.15483100  0.37692600  1.0
  O  O34  1  0.00000000  0.15432600  0.17672800  1.0
  O  O35  1  0.00000000  0.15461200  0.57689800  1.0
  O  O36  1  0.00000000  0.50000000  0.10414800  1.0
  O  O37  1  0.00000000  0.84518700  0.77721200  1.0
  O  O38  1  0.00000000  0.50000000  0.30374400  1.0
  O  O39  1  0.00000000  0.50000000  0.50306500  1.0
  O  O40  1  0.00000000  0.84577000  0.97723900  1.0
  O  O41  1  0.00000000  0.15481300  0.77721200  1.0
  O  O42  1  0.00000000  0.50000000  0.70423900  1.0
  O  O43  1  0.00000000  0.15423000  0.97723900  1.0
  O  O44  1  0.00000000  0.50000000  0.90323600  1.0
  O  O45  1  0.50000000  0.00000000  0.09562500  1.0
  O  O46  1  0.50000000  0.00000000  0.29373600  1.0
  O  O47  1  0.50000000  0.00000000  0.49533100  1.0
  O  O48  1  0.50000000  0.34168500  0.02572800  1.0
  O  O49  1  0.50000000  0.34590800  0.22307300  1.0
  O  O50  1  0.50000000  0.65831500  0.02572800  1.0
  O  O51  1  0.50000000  0.65409200  0.22307300  1.0
  O  O52  1  0.50000000  0.00000000  0.69409900  1.0
  O  O53  1  0.50000000  0.00000000  0.89556000  1.0
  O  O54  1  0.50000000  0.34211600  0.42163700  1.0
  O  O55  1  0.50000000  0.34148400  0.62586300  1.0
  O  O56  1  0.50000000  0.65788400  0.42163700  1.0
  O  O57  1  0.50000000  0.65851600  0.62586300  1.0
  O  O58  1  0.50000000  0.34214000  0.82218400  1.0
  O  O59  1  0.50000000  0.65786000  0.82218400  1.0

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