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Hf

Traditional Materials TRA Elasticity Data ELA

MP-ID: mp-103 · Space group: P6_3/mmc (#194)

Basic Information

Formula
Hf
MP-ID
mp-103
Elements
1
Sites
2
Density
13.3127
g/cm³
Volume
44.53
ų
Cell a
3.1924
Å
Cell b
3.1924
Å
Cell c
5.0450
Å
α Angle
90.00
°
β Angle
90.00
°
γ Angle
120.00
°
Space Group
P6_3/mmc
Point Group
6/mmm
Crystal System
Hexagonal
Bravais Lattice
Hexagonal P
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
32.38 2.7647 23.9 (1,0,-1,0)
32.38 2.7647 12.0 (0,1,-1,0)
35.59 2.5225 37.2 (0,0,0,2)
37.08 2.4245 50.0 (1,0,-1,1)
37.08 2.4245 100.0 (1,-1,0,1)
48.88 1.8634 23.0 (1,0,-1,2)
57.76 1.5962 9.3 (2,-1,-1,0)
57.76 1.5962 9.3 (1,1,-2,0)
57.76 1.5962 9.3 (1,-2,1,0)
64.90 1.4368 29.7 (1,0,-1,3)
67.79 1.3823 1.4 (2,0,-2,0)
67.79 1.3823 1.4 (2,-2,0,0)
67.79 1.3823 1.4 (0,2,-2,0)
69.72 1.3488 10.7 (2,-1,-1,2)
69.72 1.3488 21.4 (1,1,-2,2)
70.65 1.3332 7.7 (2,0,-2,1)
70.65 1.3332 7.7 (2,-2,0,1)
70.65 1.3332 7.7 (0,2,-2,1)
75.36 1.2613 4.3 (0,0,0,4)
78.98 1.2123 1.9 (2,0,-2,2)
78.98 1.2123 1.9 (2,-2,0,2)
78.98 1.2123 1.9 (0,2,-2,2)
84.42 1.1475 3.3 (1,0,-1,4)
84.42 1.1475 1.6 (0,1,-1,4)
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Energy Properties

Formation Energy/atom
0.00000
eV/atom
Energy/atom
-45.15142
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-45.1514
eV/atom
Volume/atom
22.26
ų
c/a Ratio
1.5803

Electronic Properties

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

Magnetic Properties

Magnetic
Yes
Total Mag. Moment
0.0000
μB
Mag. Ordering
Unknown
Mag. Sites
0
Magnetization/Volume
0.000000
μB/ų

Elastic Properties

KVRH
108.287
GPa
GVRH
56.604
GPa
Young's Modulus E
144.614
GPa
Poisson Ratio ν
0.277
Pugh Ratio K/G
1.913
Vickers Hardness Est.
6.927
GPa
Ductility
Brittle
Anisotropy
0.021
Lame λ
70.551
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
Hf · 1.000
Element Family
N/A
Solute Fraction
0.000
Interstitial Fraction
0.000

Traditional Material Features

ROM Blended-Feature Radar
Rating & Classification
Tier
A
Score
0.573
Family
Pure Metal
Matrix Element
Hf · 1.000

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
0.0210
Homogeneous Poisson ν
0.2770
Debye Temperature
243.0
K
Sound Velocity
2,296.7
m/s
Homogeneity
0.2770

Related Tasks

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-103
Reference Citation

The crystal structure and related material properties of Hf were obtained from the Materials Project database (MP-ID: mp-103, 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_Hf
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   3.19238514
_cell_length_b   3.19238412
_cell_length_c   5.04504164
_cell_angle_alpha   90.00000000
_cell_angle_beta   90.00000000
_cell_angle_gamma   119.99999979
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Hf
_chemical_formula_sum   Hf2
_cell_volume   44.52724349
_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
  Hf  Hf0  1  0.33333300  0.66666700  0.25000000  1.0
  Hf  Hf1  1  0.66666700  0.33333300  0.75000000  1.0
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