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Tm8Ti7Ge16Mo5

High-Entropy Materials HEA

MP-ID: mp-3294574 · Space group: P1 (#1)

Basic Information

Formula
Tm8Ti7Ge16Mo5
MP-ID
mp-3294574
Elements
4
Sites
36
Density
8.6792
g/cm³
Volume
636.82
ų
Cell a
6.8454
Å
Cell b
7.0220
Å
Cell c
13.2482
Å
α Angle
90.05
°
β Angle
89.94
°
γ Angle
89.99
°
Space Group
P1
Point Group
1
Crystal System
Triclinic
Bravais Lattice
aP
Stability
Yes
Packing Fraction
-

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; Cu Kα ; λ=1.5418 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
6.67 13.2482 4.3 (0,0,1)
12.61 7.0220 1.2 (0,1,0)
12.93 6.8454 1.1 (1,0,0)
13.37 6.6241 1.1 (0,0,2)
14.27 6.2065 28.2 (0,1,-1)
14.28 6.2023 36.2 (0,1,1)
18.10 4.9022 2.6 (1,1,0)
18.10 4.9011 6.9 (1,-1,0)
19.30 4.5987 1.9 (1,-1,1)
19.30 4.5978 1.0 (1,1,1)
19.31 4.5973 3.4 (1,1,-1)
23.79 3.7397 58.6 (0,1,-3)
23.81 3.7369 52.4 (0,1,3)
25.37 3.5110 1.6 (0,2,0)
26.03 3.4227 29.2 (2,0,0)
26.90 3.3147 2.5 (2,0,1)
26.91 3.3130 1.6 (2,0,-1)
26.92 3.3121 1.2 (0,0,4)
27.18 3.2814 2.3 (1,1,3)
27.20 3.2786 1.3 (1,-1,-3)
28.57 3.1243 4.1 (1,2,0)
28.58 3.1238 2.6 (1,-2,0)
28.77 3.1033 1.0 (0,2,-2)
28.79 3.1011 2.4 (0,2,2)
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Energy Properties

Formation Energy/atom
-0.80169
eV/atom
Energy/atom
-20.90848
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-20.9085
eV/atom
Volume/atom
17.69
ų
c/a Ratio
1.9354

Electronic Properties

Metallic
Metal
Band Gap
0
eV
Direct Gap
No
CBM
N/A
eV

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0052
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

Elastic data not available

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Ge · 0.444
Element Family
PostTransition-Noble
Solute Fraction
0.556
Interstitial Fraction
0.000

High-Entropy Alloy Features

Composite Radar (normalized)
Element-Class Share
Mix Entropy ΔS/R
1.2873
HEA criterion (>1.0 = high entropy)
Mix Entropy ΔS
10.7022
J/mol·K
Ω Parameter
3.7106
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
13.632%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3422
smaller = more stable mixing
VEC
6.278
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-4.967
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9286
SS Former
0
Phase Tendency
IM

Related Tasks

Related computation task IDs (1)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-3294574
Reference Citation

The crystal structure and related material properties of Tm8Ti7Ge16Mo5 were obtained from the Materials Project database (MP-ID: mp-3294574, 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
Raw CIF Data
# generated using pymatgen
data_Tm8Ti7Ge16Mo5
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   6.84536565
_cell_length_b   7.02203880
_cell_length_c   13.24823711
_cell_angle_alpha   90.04784758
_cell_angle_beta   89.94044047
_cell_angle_gamma   89.98742050
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Tm8Ti7Ge16Mo5
_chemical_formula_sum   'Tm8 Ti7 Ge16 Mo5'
_cell_volume   636.82128587
_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
  Tm  Tm0  1  0.49685536  0.32510885  0.09619685  1.0
  Tm  Tm1  1  0.99648666  0.17501437  0.40380171  1.0
  Tm  Tm2  1  0.50325253  0.67684936  0.59593298  1.0
  Tm  Tm3  1  0.00318602  0.82597735  0.90471285  1.0
  Tm  Tm4  1  0.50254117  0.67407297  0.90305918  1.0
  Tm  Tm5  1  0.00523944  0.82844231  0.59550459  1.0
  Tm  Tm6  1  0.49522431  0.32408423  0.40633328  1.0
  Tm  Tm7  1  0.99693139  0.17477408  0.09658326  1.0
  Ti  Ti8  1  0.84271959  0.33006465  0.62743520  1.0
  Ti  Ti9  1  0.33733006  0.16872020  0.87136890  1.0
  Ti  Ti10  1  0.16124814  0.66856176  0.12703402  1.0
  Ti  Ti11  1  0.66028281  0.83169409  0.37298031  1.0
  Ti  Ti12  1  0.16060082  0.66893676  0.37366977  1.0
  Ti  Ti13  1  0.66181406  0.83084573  0.12770730  1.0
  Ti  Ti14  1  0.83890576  0.32956509  0.87075740  1.0
  Ge  Ge15  1  0.67097703  0.04250986  0.54319468  1.0
  Ge  Ge16  1  0.17431037  0.45701770  0.95744098  1.0
  Ge  Ge17  1  0.32632443  0.95765915  0.04242502  1.0
  Ge  Ge18  1  0.82571229  0.54173026  0.45782978  1.0
  Ge  Ge19  1  0.32402882  0.95658069  0.45802294  1.0
  Ge  Ge20  1  0.82722070  0.54163828  0.04278254  1.0
  Ge  Ge21  1  0.67271842  0.04214083  0.95741094  1.0
  Ge  Ge22  1  0.17577212  0.45817407  0.54255643  1.0
  Ge  Ge23  1  0.53604141  0.37418257  0.74844143  1.0
  Ge  Ge24  1  0.03771683  0.12263494  0.75050558  1.0
  Ge  Ge25  1  0.46231254  0.62493866  0.25045795  1.0
  Ge  Ge26  1  0.96368893  0.87584798  0.25039758  1.0
  Ge  Ge27  1  0.80588248  0.63687619  0.74927016  1.0
  Ge  Ge28  1  0.30645122  0.86349777  0.75055610  1.0
  Ge  Ge29  1  0.19589169  0.36366340  0.25029104  1.0
  Ge  Ge30  1  0.69553246  0.13752154  0.25024194  1.0
  Mo  Mo31  1  0.33538423  0.16767750  0.62664830  1.0
  Mo  Mo32  1  0.66562838  0.01206549  0.74908770  1.0
  Mo  Mo33  1  0.16384975  0.48797890  0.74859518  1.0
  Mo  Mo34  1  0.33585737  0.99111591  0.25039085  1.0
  Mo  Mo35  1  0.83607840  0.51183752  0.25037326  1.0
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