Eu3(B3Rh4)2

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-672322 · Space group: Fmmm (#69)

Materials Project API

Basic Information

Formula

Eu3(B3Rh4)2

MP-ID

mp-672322

Elements

Sites

Density

9.4734

g/cm³

Volume

235.58

Å³

Cell a

9.9063

Cell b

9.0336

Cell c

5.6576

α Angle

81.29

β Angle

64.34

γ Angle

34.37

Space Group

Fmmm

Point Group

mmm

Crystal System

Orthorhombic

Bravais Lattice

Stability

Yes

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
19.03	4.6633	3.2	(1,0,0)
24.05	3.6996	4.6	(2,1,0)
31.22	2.8649	7.5	(3,3,0)
31.92	2.8037	64.1	(3,2,0)
32.07	2.7907	3.0	(2,0,1)
35.39	2.5361	2.6	(3,1,1)
36.27	2.4765	41.9	(4,3,1)
36.48	2.4631	51.9	(2,0,2)
37.11	2.4225	100.0	(1,-1,0)
41.22	2.1903	5.2	(4,3,0)
41.34	2.1841	37.3	(4,2,1)
45.44	1.9959	25.7	(3,2,-1)
46.09	1.9695	1.8	(5,4,1)
48.76	1.8677	5.9	(5,3,2)
49.13	1.8542	4.1	(5,3,1)
49.26	1.8498	11.2	(4,2,0)
53.29	1.7189	2.5	(5,5,0)
53.92	1.7005	1.2	(4,3,-1)
56.30	1.6342	12.9	(5,2,2)
56.72	1.6230	3.0	(6,5,1)
57.20	1.6104	12.2	(3,1,-1)
57.32	1.6075	1.2	(5,3,0)
59.62	1.5507	19.4	(5,2,1)
62.45	1.4872	1.5	(6,5,0)

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Energy Properties

Formation Energy/atom

-0.61415

eV/atom

Energy/atom

-8.25269

eV/atom

Energy above Hull

0.0000

eV/atom

Uncorrected Energy

-8.2527

eV/atom

Volume/atom

13.86

Å³

c/a Ratio

0.5711

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

20.2535

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.085970

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

Rh · 0.471

Element Family

4d-TM

Solute Fraction

0.529

Interstitial Fraction

0.353

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0284

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.5501

J/mol·K

Ω Parameter

1.9077

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

26.015%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.3878

smaller = more stable mixing

VEC

6.529

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-9.303

kJ/mol; negative = exothermic mixing

Entropy Norm

0.9361

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.475

Family

Rh-rich Multi-Component

Matrix Element

Rh · 0.471

Related Tasks

Related computation task IDs (4)

aaadczhf aaadnhcs aaadqzxu aaaetpdk

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-672322

Reference Citation

The crystal structure and related material properties of Eu3(B3Rh4)2 were obtained from the Materials Project database (MP-ID: mp-672322, 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…

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Raw CIF Data

# generated using pymatgen
data_Eu3(B3Rh4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.90627377
_cell_length_b   9.03364300
_cell_length_c   5.65754989
_cell_angle_alpha   81.28925177
_cell_angle_beta   64.34176006
_cell_angle_gamma   34.36898817
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Eu3(B3Rh4)2
_chemical_formula_sum   'Eu3 B6 Rh8'
_cell_volume   235.58261490
_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
  Eu  Eu0  1  0.31686500  0.31686500  0.68313500  1.0
  Eu  Eu1  1  0.50000000  0.50000000  0.50000000  1.0
  Eu  Eu2  1  0.68313500  0.68313500  0.31686500  1.0
  B  B3  1  0.83497400  0.16502600  0.83497400  1.0
  B  B4  1  0.66810000  0.99028500  0.00971500  1.0
  B  B5  1  0.99028500  0.66810000  0.33190000  1.0
  B  B6  1  0.00971500  0.33190000  0.66810000  1.0
  B  B7  1  0.33190000  0.00971500  0.99028500  1.0
  B  B8  1  0.16502600  0.83497400  0.16502600  1.0
  Rh  Rh9  1  0.91526600  0.91526600  0.58473400  1.0
  Rh  Rh10  1  0.08473400  0.08473400  0.41526600  1.0
  Rh  Rh11  1  0.75000000  0.75000000  0.75000000  1.0
  Rh  Rh12  1  0.08729300  0.08729300  0.91270700  1.0
  Rh  Rh13  1  0.91270700  0.91270700  0.08729300  1.0
  Rh  Rh14  1  0.41526600  0.41526600  0.08473400  1.0
  Rh  Rh15  1  0.58473400  0.58473400  0.91526600  1.0
  Rh  Rh16  1  0.25000000  0.25000000  0.25000000  1.0

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