Ho2Ge2Rh

High-Entropy Materials HEA Traditional Materials TRA

MP-ID: mp-10308 · Space group: C2/m (#12)

Materials Project API

Basic Information

Formula

Ho2Ge2Rh

MP-ID

mp-10308

Elements

Sites

Density

9.4911

g/cm³

Volume

202.27

Å³

Cell a

4.2690

Cell b

5.6235

Cell c

9.3704

α Angle

81.87

β Angle

76.83

γ Angle

67.69

Space Group

C2/m

Point Group

2/m

Crystal System

Monoclinic

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
9.71	9.1070	8.4	(0,0,1)
17.07	5.1930	4.2	(0,1,0)
19.49	4.5535	3.7	(0,0,2)
20.20	4.3970	2.6	(0,1,-1)
22.94	3.8775	17.2	(1,0,0)
25.21	3.5323	12.6	(0,1,2)
26.64	3.3457	12.4	(1,0,-1)
26.82	3.3245	9.1	(0,1,-2)
27.23	3.2754	12.7	(1,0,2)
29.42	3.0357	5.4	(0,0,3)
33.07	2.7089	94.1	(1,0,-2)
33.26	2.6934	11.0	(0,1,3)
33.45	2.6785	47.7	(1,-1,0)
33.87	2.6469	100.0	(1,0,3)
33.93	2.6420	50.7	(1,-1,1)
34.54	2.5965	55.1	(0,2,0)
35.14	2.5537	10.6	(0,1,-3)
35.36	2.5382	7.8	(0,2,1)
36.56	2.4577	3.2	(0,2,-1)
37.21	2.4165	32.2	(1,-1,2)
37.21	2.4165	32.2	(1,2,-1)
38.86	2.3173	18.3	(0,2,2)
39.58	2.2768	38.5	(0,0,4)
40.75	2.2141	92.6	(1,-1,-2)

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Energy Properties

Formation Energy/atom

-0.93391

eV/atom

Energy/atom

-6.09505

eV/atom

Energy above Hull

0.0000

eV/atom

Uncorrected Energy

-24.5642

eV/atom

Volume/atom

20.23

Å³

c/a Ratio

2.1950

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

0.0000

μB

Mag. Ordering

Unknown

Mag. Sites

Magnetization/Volume

0.000000

μB/Å³

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

Ho · 0.400

Element Family

Lanthanide

Solute Fraction

0.600

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0549

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.7706

J/mol·K

Ω Parameter

20.7149

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

15.844%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.4375

smaller = more stable mixing

VEC

7.800

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

0.688

kJ/mol; negative = exothermic mixing

Entropy Norm

0.9602

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.468

Family

Ho-rich Multi-Component

Matrix Element

Ho · 0.400

Related Tasks

Related computation task IDs (5)

aaadmzib aaadstmh aaaemilu aaaetydh aaafskkc

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-10308

Reference Citation

The crystal structure and related material properties of Ho2Ge2Rh were obtained from the Materials Project database (MP-ID: mp-10308, 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_Ho2Ge2Rh
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.26894871
_cell_length_b   5.62352027
_cell_length_c   9.37035835
_cell_angle_alpha   81.86648150
_cell_angle_beta   76.83300278
_cell_angle_gamma   67.69345486
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ho2Ge2Rh
_chemical_formula_sum   'Ho4 Ge4 Rh2'
_cell_volume   202.26626460
_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
  Ho  Ho0  1  0.18841061  0.74021917  0.88295862  1.0
  Ho  Ho1  1  0.81158939  0.25978083  0.11704138  1.0
  Ho  Ho2  1  0.01050642  0.31077264  0.66821452  1.0
  Ho  Ho3  1  0.98949358  0.68922736  0.33178548  1.0
  Ge  Ge4  1  0.47919671  0.15743917  0.88416840  1.0
  Ge  Ge5  1  0.52080329  0.84256083  0.11583160  1.0
  Ge  Ge6  1  0.35575633  0.73000339  0.55848395  1.0
  Ge  Ge7  1  0.64424367  0.26999661  0.44151605  1.0
  Rh  Rh8  1  0.72809788  0.88513038  0.65867487  1.0
  Rh  Rh9  1  0.27190212  0.11486962  0.34132513  1.0

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