Eu2Ge(BO4)2

High-Entropy Materials HEA

MP-ID: mp-1019739 · Space group: Pbcn (#60)

Materials Project API

Basic Information

Formula

Eu2Ge(BO4)2

MP-ID

mp-1019739

Elements

Sites

Density

5.8837

g/cm³

Volume

594.02

Å³

Cell a

4.5033

Cell b

9.6230

Cell c

13.7075

α Angle

90.00

β Angle

90.00

γ Angle

90.00

Space Group

Pbcn

Point Group

mmm

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
18.44	4.8115	25.2	(0,2,0)
19.55	4.5399	6.0	(0,2,1)
20.76	4.2784	15.2	(1,0,1)
22.58	3.9380	12.7	(0,2,2)
22.75	3.9094	2.5	(1,1,1)
25.41	3.5051	7.3	(1,1,2)
26.00	3.4269	12.7	(0,0,4)
26.91	3.3132	4.0	(0,2,3)
27.82	3.2074	54.5	(1,0,3)
27.91	3.1972	100.0	(1,2,1)
29.35	3.0428	5.5	(1,1,3)
30.15	2.9644	17.6	(1,2,2)
32.07	2.7913	55.7	(0,2,4)
33.58	2.6688	26.5	(1,2,3)
36.82	2.4413	1.7	(1,3,2)
37.38	2.4057	21.9	(0,4,0)
37.77	2.3820	3.6	(0,2,5)
37.92	2.3725	3.2	(1,2,4)
37.97	2.3695	5.2	(0,4,1)
38.44	2.3417	9.9	(1,0,5)
39.44	2.2846	10.0	(0,0,6)
39.61	2.2753	6.5	(1,1,5)
40.04	2.2517	12.2	(2,0,0)
41.72	2.1649	6.4	(2,1,1)

Get direct link

Energy Properties

Formation Energy/atom

-2.87637

eV/atom

Energy/atom

-8.88727

eV/atom

Energy above Hull

0.0226

eV/atom

Uncorrected Energy

-8.4645

eV/atom

Volume/atom

11.42

Å³

c/a Ratio

3.0439

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

48.0014

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.080810

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

O · 0.615

Element Family

Metalloid-Nonmetal

Solute Fraction

0.385

Interstitial Fraction

0.154

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0720

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.9127

J/mol·K

Ω Parameter

22.5933

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

50.777%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.8842

smaller = more stable mixing

VEC

4.308

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-0.259

kJ/mol; negative = exothermic mixing

Entropy Norm

0.7733

SS Former

Phase Tendency

Related Tasks

Related computation task IDs (2)

aaacgccx aaaeeclu

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1019739

Reference Citation

The crystal structure and related material properties of Eu2Ge(BO4)2 were obtained from the Materials Project database (MP-ID: mp-1019739, 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 | Drag to rotate · Scroll to zoom · Right-click to pan

Raw CIF Data

# generated using pymatgen
data_Eu2Ge(BO4)2
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.50331700
_cell_length_b   9.62295300
_cell_length_c   13.70751900
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   90.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Eu2Ge(BO4)2
_chemical_formula_sum   'Eu8 Ge4 B8 O32'
_cell_volume   594.01818477
_cell_formula_units_Z   4
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  0.46503700  0.52894100  0.63975100  1.0
  Eu  Eu1  1  0.03496300  0.02894100  0.86024900  1.0
  Eu  Eu2  1  0.03496300  0.47105900  0.13975100  1.0
  Eu  Eu3  1  0.46503700  0.97105900  0.36024900  1.0
  Eu  Eu4  1  0.53496300  0.47105900  0.36024900  1.0
  Eu  Eu5  1  0.96503700  0.97105900  0.13975100  1.0
  Eu  Eu6  1  0.96503700  0.52894100  0.86024900  1.0
  Eu  Eu7  1  0.53496300  0.02894100  0.63975100  1.0
  Ge  Ge8  1  0.91981000  0.75000000  0.50000000  1.0
  Ge  Ge9  1  0.58019000  0.25000000  0.00000000  1.0
  Ge  Ge10  1  0.08019000  0.25000000  0.50000000  1.0
  Ge  Ge11  1  0.41981000  0.75000000  0.00000000  1.0
  B  B12  1  0.53295300  0.70502000  0.20100600  1.0
  B  B13  1  0.96704700  0.20502000  0.29899400  1.0
  B  B14  1  0.96704700  0.29498000  0.70100600  1.0
  B  B15  1  0.53295300  0.79498000  0.79899400  1.0
  B  B16  1  0.46704700  0.29498000  0.79899400  1.0
  B  B17  1  0.03295300  0.79498000  0.70100600  1.0
  B  B18  1  0.03295300  0.70502000  0.29899400  1.0
  B  B19  1  0.46704700  0.20502000  0.20100600  1.0
  O  O20  1  0.53937700  0.55398100  0.19385100  1.0
  O  O21  1  0.96062300  0.05398100  0.30614900  1.0
  O  O22  1  0.96062300  0.44601900  0.69385100  1.0
  O  O23  1  0.53937700  0.94601900  0.80614900  1.0
  O  O24  1  0.46062300  0.44601900  0.80614900  1.0
  O  O25  1  0.03937700  0.94601900  0.69385100  1.0
  O  O26  1  0.03937700  0.55398100  0.30614900  1.0
  O  O27  1  0.46062300  0.05398100  0.19385100  1.0
  O  O28  1  0.65161600  0.76539800  0.10673700  1.0
  O  O29  1  0.84838400  0.26539800  0.39326300  1.0
  O  O30  1  0.84838400  0.23460200  0.60673700  1.0
  O  O31  1  0.65161600  0.73460200  0.89326300  1.0
  O  O32  1  0.34838400  0.23460200  0.89326300  1.0
  O  O33  1  0.15161600  0.73460200  0.60673700  1.0
  O  O34  1  0.15161600  0.76539800  0.39326300  1.0
  O  O35  1  0.34838400  0.26539800  0.10673700  1.0
  O  O36  1  0.22480400  0.75865400  0.21792000  1.0
  O  O37  1  0.27519600  0.25865400  0.28208000  1.0
  O  O38  1  0.27519600  0.24134600  0.71792000  1.0
  O  O39  1  0.22480400  0.74134600  0.78208000  1.0
  O  O40  1  0.77519600  0.24134600  0.78208000  1.0
  O  O41  1  0.72480400  0.74134600  0.71792000  1.0
  O  O42  1  0.72480400  0.75865400  0.28208000  1.0
  O  O43  1  0.77519600  0.25865400  0.21792000  1.0
  O  O44  1  0.70538100  0.59904300  0.49537200  1.0
  O  O45  1  0.79461900  0.09904300  0.00462800  1.0
  O  O46  1  0.79461900  0.40095700  0.99537200  1.0
  O  O47  1  0.70538100  0.90095700  0.50462800  1.0
  O  O48  1  0.29461900  0.40095700  0.50462800  1.0
  O  O49  1  0.20538100  0.90095700  0.99537200  1.0
  O  O50  1  0.20538100  0.59904300  0.00462800  1.0
  O  O51  1  0.29461900  0.09904300  0.49537200  1.0

Get direct link