Materials id 4770 / Na2SO4 / Fddd (70)
==============================================================================

- Date page updated: 2018-4-17
- Space group type: Fddd (70) / F 2 2 -1d
- Number of formula units (Z): 8
- Phonon raw data: :download:`mp-4770-20180417.tar.lzma <./mp-4770-20180417.tar.lzma>`
- Link to Materials Project: `https://www.materialsproject.org/materials/mp-4770/ <https://www.materialsproject.org/materials/mp-4770/>`_

Phonon band structure
----------------------

.. image:: mp-4770-band.png

Phonon DOS
-----------

.. image:: mp-4770-dos.png

Thermal properties at constant volume
--------------------------------------

Imaginary modes are excluded if they exist.

.. image:: mp-4770-tprops.png

POSCAR.yaml
----------------

POSCAR.yaml shows the crystal structure after the relaxation used for this phonon calculation.

::

   lattice:
   - [     5.8706185399999997,     0.0000000000000000,     0.0000000000000000 ] # a
   - [     0.0000000000000000,     9.7883990099999991,     0.0000000000000000 ] # b
   - [     0.0000000000000000,     0.0000000000000000,    12.3113103699999993 ] # c
   points:
   - symbol: O  # 1
     coordinates: [  0.1036020700000000,  0.3398072400000000,  0.6816861400000001 ]
     mass: 15.999400
   - symbol: O  # 2
     coordinates: [  0.6036020700000000,  0.6601927600000000,  0.8183138599999999 ]
     mass: 15.999400
   - symbol: O  # 3
     coordinates: [  0.3963979300000000,  0.3398072400000000,  0.8183138599999999 ]
     mass: 15.999400
   - symbol: O  # 4
     coordinates: [  0.8963979300000000,  0.6601927600000000,  0.6816861400000001 ]
     mass: 15.999400
   - symbol: O  # 5
     coordinates: [  0.1463979300000000,  0.4101927600000000,  0.0683138600000000 ]
     mass: 15.999400
   - symbol: O  # 6
     coordinates: [  0.6463979300000000,  0.0898072400000000,  0.9316861400000001 ]
     mass: 15.999400
   - symbol: O  # 7
     coordinates: [  0.3536020700000000,  0.0898072400000000,  0.0683138600000000 ]
     mass: 15.999400
   - symbol: O  # 8
     coordinates: [  0.8536020700000000,  0.4101927600000000,  0.9316861400000001 ]
     mass: 15.999400
   - symbol: O  # 9
     coordinates: [  0.1036020700000000,  0.8398072400000000,  0.1816861400000000 ]
     mass: 15.999400
   - symbol: O  # 10
     coordinates: [  0.6036020700000000,  0.1601927600000000,  0.3183138600000000 ]
     mass: 15.999400
   - symbol: O  # 11
     coordinates: [  0.3963979300000000,  0.8398072400000000,  0.3183138600000000 ]
     mass: 15.999400
   - symbol: O  # 12
     coordinates: [  0.8963979300000000,  0.1601927600000000,  0.1816861400000000 ]
     mass: 15.999400
   - symbol: O  # 13
     coordinates: [  0.1463979300000000,  0.9101927600000000,  0.5683138599999999 ]
     mass: 15.999400
   - symbol: O  # 14
     coordinates: [  0.6463979300000000,  0.5898072400000000,  0.4316861400000000 ]
     mass: 15.999400
   - symbol: O  # 15
     coordinates: [  0.3536020700000000,  0.5898072400000000,  0.5683138599999999 ]
     mass: 15.999400
   - symbol: O  # 16
     coordinates: [  0.8536020700000000,  0.9101927600000000,  0.4316861400000000 ]
     mass: 15.999400
   - symbol: O  # 17
     coordinates: [  0.6036020700000000,  0.3398072400000000,  0.1816861400000000 ]
     mass: 15.999400
   - symbol: O  # 18
     coordinates: [  0.1036020700000000,  0.6601927600000000,  0.3183138600000000 ]
     mass: 15.999400
   - symbol: O  # 19
     coordinates: [  0.8963979300000000,  0.3398072400000000,  0.3183138600000000 ]
     mass: 15.999400
   - symbol: O  # 20
     coordinates: [  0.3963979300000000,  0.6601927600000000,  0.1816861400000000 ]
     mass: 15.999400
   - symbol: O  # 21
     coordinates: [  0.6463979300000000,  0.4101927600000000,  0.5683138599999999 ]
     mass: 15.999400
   - symbol: O  # 22
     coordinates: [  0.1463979300000000,  0.0898072400000000,  0.4316861400000000 ]
     mass: 15.999400
   - symbol: O  # 23
     coordinates: [  0.8536020700000000,  0.0898072400000000,  0.5683138599999999 ]
     mass: 15.999400
   - symbol: O  # 24
     coordinates: [  0.3536020700000000,  0.4101927600000000,  0.4316861400000000 ]
     mass: 15.999400
   - symbol: O  # 25
     coordinates: [  0.6036020700000000,  0.8398072400000000,  0.6816861400000001 ]
     mass: 15.999400
   - symbol: O  # 26
     coordinates: [  0.1036020700000000,  0.1601927600000000,  0.8183138599999999 ]
     mass: 15.999400
   - symbol: O  # 27
     coordinates: [  0.8963979300000000,  0.8398072400000000,  0.8183138599999999 ]
     mass: 15.999400
   - symbol: O  # 28
     coordinates: [  0.3963979300000000,  0.1601927600000000,  0.6816861400000001 ]
     mass: 15.999400
   - symbol: O  # 29
     coordinates: [  0.6463979300000000,  0.9101927600000000,  0.0683138600000000 ]
     mass: 15.999400
   - symbol: O  # 30
     coordinates: [  0.1463979300000000,  0.5898072400000000,  0.9316861400000001 ]
     mass: 15.999400
   - symbol: O  # 31
     coordinates: [  0.8536020700000000,  0.5898072400000000,  0.0683138600000000 ]
     mass: 15.999400
   - symbol: O  # 32
     coordinates: [  0.3536020700000000,  0.9101927600000000,  0.9316861400000001 ]
     mass: 15.999400
   - symbol: Na # 33
     coordinates: [  0.5000000000000000,  0.3150900400000000,  0.0000000000000000 ]
     mass: 22.989769
   - symbol: Na # 34
     coordinates: [  0.5000000000000000,  0.6849099600000000,  0.0000000000000000 ]
     mass: 22.989769
   - symbol: Na # 35
     coordinates: [  0.7500000000000000,  0.0650900400000000,  0.7500000000000000 ]
     mass: 22.989769
   - symbol: Na # 36
     coordinates: [  0.7500000000000000,  0.4349099600000000,  0.7500000000000000 ]
     mass: 22.989769
   - symbol: Na # 37
     coordinates: [  0.5000000000000000,  0.8150900400000000,  0.5000000000000000 ]
     mass: 22.989769
   - symbol: Na # 38
     coordinates: [  0.5000000000000000,  0.1849099600000000,  0.5000000000000000 ]
     mass: 22.989769
   - symbol: Na # 39
     coordinates: [  0.7500000000000000,  0.5650900400000000,  0.2500000000000000 ]
     mass: 22.989769
   - symbol: Na # 40
     coordinates: [  0.7500000000000000,  0.9349099600000000,  0.2500000000000000 ]
     mass: 22.989769
   - symbol: Na # 41
     coordinates: [  0.0000000000000000,  0.3150900400000000,  0.5000000000000000 ]
     mass: 22.989769
   - symbol: Na # 42
     coordinates: [  0.0000000000000000,  0.6849099600000000,  0.5000000000000000 ]
     mass: 22.989769
   - symbol: Na # 43
     coordinates: [  0.2500000000000000,  0.0650900400000000,  0.2500000000000000 ]
     mass: 22.989769
   - symbol: Na # 44
     coordinates: [  0.2500000000000000,  0.4349099600000000,  0.2500000000000000 ]
     mass: 22.989769
   - symbol: Na # 45
     coordinates: [  0.0000000000000000,  0.8150900400000000,  0.0000000000000000 ]
     mass: 22.989769
   - symbol: Na # 46
     coordinates: [  0.0000000000000000,  0.1849099600000000,  0.0000000000000000 ]
     mass: 22.989769
   - symbol: Na # 47
     coordinates: [  0.2500000000000000,  0.5650900400000000,  0.7500000000000000 ]
     mass: 22.989769
   - symbol: Na # 48
     coordinates: [  0.2500000000000000,  0.9349099600000000,  0.7500000000000000 ]
     mass: 22.989769
   - symbol: S  # 49
     coordinates: [  0.5000000000000000,  0.0000000000000000,  0.0000000000000000 ]
     mass: 32.065000
   - symbol: S  # 50
     coordinates: [  0.7500000000000000,  0.7500000000000000,  0.7500000000000000 ]
     mass: 32.065000
   - symbol: S  # 51
     coordinates: [  0.5000000000000000,  0.5000000000000000,  0.5000000000000000 ]
     mass: 32.065000
   - symbol: S  # 52
     coordinates: [  0.7500000000000000,  0.2500000000000000,  0.2500000000000000 ]
     mass: 32.065000
   - symbol: S  # 53
     coordinates: [  0.0000000000000000,  0.0000000000000000,  0.5000000000000000 ]
     mass: 32.065000
   - symbol: S  # 54
     coordinates: [  0.2500000000000000,  0.7500000000000000,  0.2500000000000000 ]
     mass: 32.065000
   - symbol: S  # 55
     coordinates: [  0.0000000000000000,  0.5000000000000000,  0.0000000000000000 ]
     mass: 32.065000
   - symbol: S  # 56
     coordinates: [  0.2500000000000000,  0.2500000000000000,  0.7500000000000000 ]
     mass: 32.065000
   poscar_order:
   - 1
   - 2
   - 3
   - 4
   - 5
   - 6
   - 7
   - 8
   - 9
   - 10
   - 11
   - 12
   - 13
   - 14
   - 15
   - 16
   - 17
   - 18
   - 19
   - 20
   - 21
   - 22
   - 23
   - 24
   - 25
   - 26
   - 27
   - 28
   - 29
   - 30
   - 31
   - 32
   - 33
   - 34
   - 35
   - 36
   - 37
   - 38
   - 39
   - 40
   - 41
   - 42
   - 43
   - 44
   - 45
   - 46
   - 47
   - 48
   - 49
   - 50
   - 51
   - 52
   - 53
   - 54
   - 55
   - 56

Citation
-----------

.. _the Materials Project: https://www.materialsproject.org/
.. _the Materials Project citation: https://materialsproject.org/citing
.. _SeeK-path: http://materialscloud.org/tools/seekpath

..

The initial crystal structure used to perform phonon calculation is
obtained from `the Materials Project`_. The phonon band structure
paths are determined using `SeeK-path`_. More details about how to
obtain the crystal structure, how to determine the band structure
paths, and those citations are found at
:ref:`crystal_structure_and_citation`.

License
--------------

The contents of this web page are licensed under a `Creative Commons
4.0 Attribution International License
<http://creativecommons.org/licenses/by/4.0/>`_.

.. image :: https://i.creativecommons.org/l/by/4.0/88x31.png
   :target: http://creativecommons.org/licenses/by/4.0/
   :alt: license