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Na4Zr2(SiO4)3

Elasticity Data ELA

MP-ID: mp-6150 · Space group: R-3c (#167)

Basic Information

Formula
Na4Zr2(SiO4)3
MP-ID
mp-6150
Elements
4
Sites
42
Density
3.2546
g/cm³
Volume
561.90
ų
Cell a
9.1999
Å
Cell b
9.1999
Å
Cell c
9.1999
Å
α Angle
60.91
°
β Angle
60.91
°
γ Angle
60.91
°
Space Group
R-3c
Point Group
-3m
Crystal System
Trigonal
Bravais Lattice
Trigonal R
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
13.52 6.5489 12.3 (1,1,0)
19.03 4.6631 65.3 (1,0,-1)
19.30 4.5991 52.7 (2,1,1)
19.30 4.5991 26.3 (1,1,2)
22.49 3.9541 19.6 (2,1,0)
23.86 3.7298 1.3 (2,2,2)
27.23 3.2745 32.3 (2,2,0)
29.53 3.0247 17.2 (2,0,-1)
30.70 2.9127 100.0 (3,2,1)
33.28 2.6923 66.1 (2,-1,-1)
33.44 2.6798 12.8 (3,1,0)
33.44 2.6798 6.4 (1,0,3)
38.62 2.3316 1.7 (2,0,-2)
39.18 2.2995 7.8 (4,2,2)
40.47 2.2290 1.5 (2,1,-2)
40.54 2.2254 10.2 (3,1,-1)
41.36 2.1830 1.4 (4,1,1)
41.89 2.1566 3.1 (4,3,3)
43.52 2.0796 15.0 (3,2,-1)
43.90 2.0624 20.2 (4,3,1)
45.27 2.0032 2.9 (4,1,0)
45.27 2.0032 1.4 (1,0,4)
45.66 1.9871 2.3 (2,2,-2)
45.90 1.9771 37.0 (4,2,0)
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Energy Properties

Formation Energy/atom
-3.11701
eV/atom
Energy/atom
-7.78910
eV/atom
Energy above Hull
0.0000
eV/atom
Uncorrected Energy
-7.3965
eV/atom
Volume/atom
13.38
ų
c/a Ratio
1.0000

Electronic Properties

Metallic
Non-metal
Band Gap
4.321
eV
Direct Gap
Yes
CBM
N/A
eV

Magnetic Properties

Magnetic
No
Total Mag. Moment
0.0034
μB
Mag. Ordering
NM
Mag. Sites
0
Magnetization/Volume
0.000010
μB/ų

Elastic Properties

KVRH
91.312
GPa
GVRH
47.588
GPa
Young's Modulus E
121.634
GPa
Poisson Ratio ν
0.278
Pugh Ratio K/G
1.919
Vickers Hardness Est.
5.938
GPa
Ductility
Brittle
Anisotropy
1.154
Lame λ
59.587
GPa

Feature Analysis

Composition Overview

Element Composition (atomic fraction)
Composition Info
Major / Matrix Element
O · 0.571
Element Family
Metalloid-Nonmetal
Solute Fraction
0.429
Interstitial Fraction
0.143

Elasticity Features

Elastic Modulus Comparison (GPa)
Elastic Features
Elastic Anisotropy AU
1.1540
Homogeneous Poisson ν
0.2780
Debye Temperature
616.1
K
Sound Velocity
4,259.4
m/s
Homogeneity
0.2780

Related Tasks

Related computation task IDs (3)

Citation & References

Materials Project Page
https://materialsproject.org/materials/mp-6150
Reference Citation

The crystal structure and related material properties of Na4Zr2(SiO4)3 were obtained from the Materials Project database (MP-ID: mp-6150, 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_Na4Zr2(SiO4)3
_symmetry_space_group_name_H-M   'P 1'
_cell_length_a   9.19988064
_cell_length_b   9.19988064
_cell_length_c   9.19987979
_cell_angle_alpha   60.91103785
_cell_angle_beta   60.91103785
_cell_angle_gamma   60.91103805
_symmetry_Int_Tables_number   1
_chemical_formula_structural   Na4Zr2(SiO4)3
_chemical_formula_sum   'Na8 Zr4 Si6 O24'
_cell_volume   561.89961711
_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
  Na  Na0  1  0.00000000  0.00000000  0.00000000  1.0
  Na  Na1  1  0.38224300  0.11775700  0.75000000  1.0
  Na  Na2  1  0.11775700  0.75000000  0.38224300  1.0
  Na  Na3  1  0.75000000  0.38224300  0.11775700  1.0
  Na  Na4  1  0.25000000  0.61775700  0.88224300  1.0
  Na  Na5  1  0.88224300  0.25000000  0.61775700  1.0
  Na  Na6  1  0.50000000  0.50000000  0.50000000  1.0
  Na  Na7  1  0.61775700  0.88224300  0.25000000  1.0
  Zr  Zr8  1  0.35351200  0.35351200  0.35351200  1.0
  Zr  Zr9  1  0.85351200  0.85351200  0.85351200  1.0
  Zr  Zr10  1  0.64648800  0.64648800  0.64648800  1.0
  Zr  Zr11  1  0.14648800  0.14648800  0.14648800  1.0
  Si  Si12  1  0.95301300  0.54698700  0.25000000  1.0
  Si  Si13  1  0.75000000  0.04698700  0.45301300  1.0
  Si  Si14  1  0.25000000  0.95301300  0.54698700  1.0
  Si  Si15  1  0.04698700  0.45301300  0.75000000  1.0
  Si  Si16  1  0.45301300  0.75000000  0.04698700  1.0
  Si  Si17  1  0.54698700  0.25000000  0.95301300  1.0
  O  O18  1  0.70470300  0.87729900  0.49012300  1.0
  O  O19  1  0.49012300  0.70470300  0.87729900  1.0
  O  O20  1  0.87729900  0.49012300  0.70470300  1.0
  O  O21  1  0.79529700  0.00987700  0.62270100  1.0
  O  O22  1  0.62270100  0.79529700  0.00987700  1.0
  O  O23  1  0.00987700  0.62270100  0.79529700  1.0
  O  O24  1  0.29529700  0.12270100  0.50987700  1.0
  O  O25  1  0.50987700  0.29529700  0.12270100  1.0
  O  O26  1  0.12270100  0.50987700  0.29529700  1.0
  O  O27  1  0.20470300  0.99012300  0.37729900  1.0
  O  O28  1  0.37729900  0.20470300  0.99012300  1.0
  O  O29  1  0.99012300  0.37729900  0.20470300  1.0
  O  O30  1  0.41698400  0.76907800  0.56503700  1.0
  O  O31  1  0.56503700  0.41698400  0.76907800  1.0
  O  O32  1  0.76907800  0.56503700  0.41698400  1.0
  O  O33  1  0.08301600  0.93496300  0.73092200  1.0
  O  O34  1  0.73092200  0.08301600  0.93496300  1.0
  O  O35  1  0.93496300  0.73092200  0.08301600  1.0
  O  O36  1  0.06503700  0.26907800  0.91698400  1.0
  O  O37  1  0.26907800  0.91698400  0.06503700  1.0
  O  O38  1  0.91698400  0.06503700  0.26907800  1.0
  O  O39  1  0.23092200  0.43496300  0.58301600  1.0
  O  O40  1  0.43496300  0.58301600  0.23092200  1.0
  O  O41  1  0.58301600  0.23092200  0.43496300  1.0
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