Ti2MnGe

High-Entropy Materials HEA Traditional Materials TRA Elasticity Data ELA

MP-ID: mp-1018015 · Space group: F-43m (#216)

Materials Project API

Basic Information

Formula

Ti2MnGe

MP-ID

mp-1018015

Elements

Sites

Density

6.5876

g/cm³

Volume

56.29

Å³

Cell a

4.3018

Cell b

4.3018

Cell c

4.3018

α Angle

60.00

β Angle

60.00

γ Angle

60.00

Space Group

F-43m

Point Group

-43m

Crystal System

Cubic

Bravais Lattice

Stability

Packing Fraction

0.7405

X-ray Diffraction

Diffraction Pattern

Target / Radiation

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

Diffraction Peaks (Top 6)

2θ	d (Å)	I	hkl
25.36	3.5124	4.1	(1,1,1)
42.01	2.1509	100.0	(2,1,1)
49.70	1.8343	2.4	(2,2,1)
60.91	1.5209	15.3	(2,2,0)
67.06	1.3957	1.0	(3,1,1)
76.75	1.2418	29.8	(3,3,2)

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Energy Properties

Formation Energy/atom

-0.24415

eV/atom

Energy/atom

-7.63816

eV/atom

Energy above Hull

0.2944

eV/atom

Uncorrected Energy

-7.6382

eV/atom

Volume/atom

14.07

Å³

c/a Ratio

1.0000

Electronic Properties

Metallic

Metal

Band Gap

Direct Gap

CBM

N/A

Magnetic Properties

Magnetic

Yes

Total Mag. Moment

0.1136

μB

Mag. Ordering

Mag. Sites

Magnetization/Volume

0.002020

μB/Å³

Elastic Properties

K_VRH

140.634

GPa

G_VRH

33.046

GPa

Young's Modulus E

91.937

GPa

Poisson Ratio ν

0.391

Pugh Ratio K/G

4.256

Vickers Hardness Est.

0.000

GPa

Ductility

Brittle

Anisotropy

15.855

Lame λ

118.603

GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)

Composition Info

Major / Matrix Element

Ti · 0.500

Element Family

3d-TM

Solute Fraction

0.500

Interstitial Fraction

0.000

High-Entropy Alloy Features

Composite Radar (normalized)

Element-Class Share

Mix Entropy ΔS/R

1.0397

HEA criterion (>1.0 = high entropy)

Mix Entropy ΔS

8.6442

J/mol·K

Ω Parameter

0.9225

Ω > 1.1 favors solid solution

Atomic Size Mismatch δr

7.710%

δr < 6.6% favors single-phase solid solution

Electronegativity Diff Δχ

0.2021

smaller = more stable mixing

VEC

4.750

valence electron concentration, affects phase stability

Mix Enthalpy ΔH_mix

-15.490

kJ/mol; negative = exothermic mixing

Entropy Norm

0.9464

SS Former

Phase Tendency

Traditional Material Features

ROM Blended-Feature Radar

Rating & Classification

Tier

Score

0.477

Family

Ti-based Alloy

Matrix Element

Ti · 0.500

Elasticity Features

Elastic Modulus Comparison (GPa)

Elastic Features

Elastic Anisotropy A^U

15.8550

Homogeneous Poisson ν

0.3910

Debye Temperature

312.2

Sound Velocity

2,532.3

m/s

Homogeneity

0.3910

Related Tasks

Related computation task IDs (5)

aaaciprf aaadwntw aaadxxjr aaaetsgg aaafckkd

Citation & References

Materials Project Page

https://materialsproject.org/materials/mp-1018015

Reference Citation

The crystal structure and related material properties of Ti2MnGe were obtained from the Materials Project database (MP-ID: mp-1018015, 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_Ti2MnGe
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   4.30178593
_cell_length_b   4.30178593
_cell_length_c   4.30178593
_cell_angle_alpha   60.00000000
_cell_angle_beta   60.00000000
_cell_angle_gamma   60.00000000
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Ti2MnGe
_chemical_formula_sum   'Ti2 Mn1 Ge1'
_cell_volume   56.29001773
_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
  Ti  Ti0  1  0.00000000  0.00000000  0.00000000  1.0
  Ti  Ti1  1  0.25000000  0.25000000  0.25000000  1.0
  Mn  Mn2  1  0.50000000  0.50000000  0.50000000  1.0
  Ge  Ge3  1  0.75000000  0.75000000  0.75000000  1.0

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