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Pr2TlAg

High-Entropy Materials HEA Traditional Materials TRA Elasticity Data ELA

MP-ID: mp-978085 · Space group: Fm-3m (#225)

Basic Information

Formula
Pr2TlAg
MP-ID
mp-978085
Elements
3
Sites
4
Density
8.6218
g/cm³
Volume
114.42
ų
Cell a
5.4492
Å
Cell b
5.4492
Å
Cell c
5.4492
Å
α Angle
60.00
°
β Angle
60.00
°
γ Angle
60.00
°
Space Group
Fm-3m
Point Group
m-3m
Crystal System
Cubic
Bravais Lattice
Cubic F
Stability
Yes
Packing Fraction
0.7400

X-ray Diffraction

Diffraction Pattern
X-axis: 2θ (°); Y-axis: relative intensity; CuKa ; λ=1.5406 Å
Diffraction Peaks (Top 24)
2θd (Å)Ihkl
19.96 4.4493 3.4 (1,1,1)
19.96 4.4493 1.7 (0,1,0)
19.96 4.4493 1.7 (0,0,1)
32.87 2.7246 100.0 (2,1,1)
32.87 2.7246 25.0 (1,0,-1)
32.87 2.7246 25.0 (0,1,-1)
38.75 2.3236 1.0 (2,1,2)
38.75 2.3236 1.0 (1,-1,1)
47.17 1.9266 9.1 (0,2,2)
47.17 1.9266 9.1 (2,0,2)
47.17 1.9266 9.1 (2,2,0)
58.69 1.5731 4.7 (2,3,3)
58.69 1.5731 4.7 (3,2,3)
58.69 1.5731 18.9 (3,0,1)
58.69 1.5731 4.7 (3,1,0)
58.69 1.5731 14.2 (1,-2,1)
58.69 1.5731 4.7 (1,0,3)
58.69 1.5731 4.7 (1,1,-2)
68.93 1.3623 8.7 (4,2,2)
68.93 1.3623 2.9 (2,2,4)
68.93 1.3623 2.9 (2,0,-2)
68.93 1.3623 2.9 (0,2,-2)
78.50 1.2185 2.0 (1,4,3)
78.50 1.2185 2.0 (1,-3,-2)
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Energy Properties

Formation Energy/atom
-0.30797
eV/atom
Energy/atom
-4.00931
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-33.7169
eV/atom
Volume/atom
28.60
ų
c/a Ratio
-

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.4796
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.004190
μB/ų

Elastic Properties

KVRH
52.072
GPa
GVRH
15.917
GPa
Young's Modulus E
43.336
GPa
Poisson Ratio ν
0.361
Pugh Ratio K/G
3.271
Vickers Hardness Est.
0.000
GPa
Ductility
Brittle
Anisotropy
1.160
Lame λ
41.461
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Pr · 0.500
Element Family
Lanthanide
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
3.2284
Ω > 1.1 favors solid solution
Atomic Size Mismatch δr
9.794%
δr < 6.6% favors single-phase solid solution
Electronegativity Diff Δχ
0.3406
smaller = more stable mixing
VEC
5.000
valence electron concentration, affects phase stability
Mix Enthalpy ΔH_mix
-2.830
kJ/mol; negative = exothermic mixing
Entropy Norm
0.9464
SS Former
0
Phase Tendency
IM

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
B
Score
0.469
Family
Pr-rich Multi-Component
Matrix Element
Pr · 0.500

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
1.1600
Homogeneous Poisson ν
0.3610
Debye Temperature
184.5
K
Sound Velocity
1,530.0
m/s
Homogeneity
0.3610

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-978085
Reference Citation

The crystal structure and related material properties of Pr2TlAg were obtained from the Materials Project database (MP-ID: mp-978085, 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

BibTeX
@article{Horton2025,
  author  = {Horton, Matthew K. and Huck, Patrick and Yang, Ruo Xi and Munro, Jason M. and Dwaraknath, Shyam and Ganose, Alex M. and Kingsbury, Ryan S. and Wen, Mingjian and Shen, Jimmy X. and Mathis, Tyler S. and Kaplan, Aaron D. and Berket, Karlo and Riebesell, Janosh and George, Janine and Rosen, Andrew S. and Spotte-Smith, Evan W. C. and McDermott, Matthew J. and Cohen, Orion A. and Dunn, Alex and Kuner, Matthew C. and Rignanese, Gian-Marco and Petretto, Guido and Waroquiers, David and Griffin, Sinead M. and Neaton, Jeffrey B. and Chrzan, Daryl C. and Asta, Mark and Hautier, Geoffroy and Cholia, Shreyas and Ceder, Gerbrand and Ong, Shyue Ping and Jain, Anubhav and Persson, Kristin A.},
  title   = {Accelerated data-driven materials science with the Materials Project},
  journal = {Nature Materials},
  year    = {2025},
  volume  = {24},
  number  = {10},
  pages   = {1522--1532},
  month   = {oct},
  doi     = {10.1038/s41563-025-02272-0},
  issn    = {1476-4660},
  url     = {https://doi.org/10.1038/s41563-025-02272-0},
  abstract = {The Materials Project was launched formally in 2011 to drive materials discovery forwards through high-throughput computation and open data. More than a decade later, the Materials Project has become an indispensable tool used by more than 600,000 materials researchers around the world. This Perspective describes how the Materials Project, as a data platform and a software ecosystem, has helped to shape research in data-driven materials science. We cover how sustainable software and computational methods have accelerated materials design while becoming more open source and collaborative in nature. Next, we present cases where the Materials Project was used to understand and discover functional materials. We then describe our efforts to meet the needs of an expanding user base, through technical infrastructure updates ranging from data architecture and cloud resources to interactive web applications. Finally, we discuss opportunities to better aid the research community, with the vision that more accessible and easy-to-understand materials data will result in democratized materials knowledge and an increasingly collaborative community.}
}

3D Crystal Structure Rendering

Loading 3D structure…

Style: Ball & Stick
Raw CIF Data
# generated using pymatgen
data_Pr2TlAg
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   5.44920626
_cell_length_b   5.44920627
_cell_length_c   5.44920552
_cell_angle_alpha   59.99994179
_cell_angle_beta   59.99996862
_cell_angle_gamma   59.99999996
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Pr2TlAg
_chemical_formula_sum   'Pr2 Tl1 Ag1'
_cell_volume   114.41537556
_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
  Pr  Pr0  1  -0.00000000  0.00000000  -0.00000000  1.0
  Pr  Pr1  1  0.50000100  0.50000100  0.50000100  1.0
  Tl  Tl2  1  0.75000000  0.75000000  0.75000000  1.0
  Ag  Ag3  1  0.25000000  0.25000000  0.25000000  1.0
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