Materials id 13133 / K2TiO3 / Cmcm (63)
==============================================================================

- Date page updated: 2018-4-17
- Space group type: Cmcm (63) / -C 2c 2
- Number of formula units (Z): 4
- Phonon raw data: :download:`mp-13133-20180417.tar.lzma <./mp-13133-20180417.tar.lzma>`
- Link to Materials Project: `https://www.materialsproject.org/materials/mp-13133/ <https://www.materialsproject.org/materials/mp-13133/>`_

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

.. image:: mp-13133-band.png

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

.. image:: mp-13133-dos.png

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

Imaginary modes are excluded if they exist.

.. image:: mp-13133-tprops.png

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

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

::

   lattice:
   - [    10.0844895900000004,     0.0000000000000000,     0.0000000000000000 ] # a
   - [     0.0000000000000000,     6.9842633400000000,     0.0000000000000000 ] # b
   - [     0.0000000000000000,     0.0000000000000000,     5.4419990199999999 ] # c
   points:
   - symbol: O  # 1
     coordinates: [  0.5000000000000000,  0.6622627400000000,  0.2500000000000000 ]
     mass: 15.999400
   - symbol: O  # 2
     coordinates: [  0.5000000000000000,  0.3377372600000000,  0.7500000000000000 ]
     mass: 15.999400
   - symbol: O  # 3
     coordinates: [  0.1257513400000000,  0.5000000000000000,  0.0000000000000000 ]
     mass: 15.999400
   - symbol: O  # 4
     coordinates: [  0.8742486600000000,  0.5000000000000000,  0.5000000000000000 ]
     mass: 15.999400
   - symbol: O  # 5
     coordinates: [  0.1257513400000000,  0.5000000000000000,  0.5000000000000000 ]
     mass: 15.999400
   - symbol: O  # 6
     coordinates: [  0.8742486600000000,  0.5000000000000000,  0.0000000000000000 ]
     mass: 15.999400
   - symbol: O  # 7
     coordinates: [  0.0000000000000000,  0.1622627400000000,  0.2500000000000000 ]
     mass: 15.999400
   - symbol: O  # 8
     coordinates: [  0.0000000000000000,  0.8377372600000000,  0.7500000000000000 ]
     mass: 15.999400
   - symbol: O  # 9
     coordinates: [  0.6257513400000000,  0.0000000000000000,  0.0000000000000000 ]
     mass: 15.999400
   - symbol: O  # 10
     coordinates: [  0.3742486600000000,  0.0000000000000000,  0.5000000000000000 ]
     mass: 15.999400
   - symbol: O  # 11
     coordinates: [  0.6257513400000000,  0.0000000000000000,  0.5000000000000000 ]
     mass: 15.999400
   - symbol: O  # 12
     coordinates: [  0.3742486600000000,  0.0000000000000000,  0.0000000000000000 ]
     mass: 15.999400
   - symbol: K  # 13
     coordinates: [  0.3377111600000000,  0.6491810600000000,  0.7500000000000000 ]
     mass: 39.098300
   - symbol: K  # 14
     coordinates: [  0.6622888400000000,  0.6491810600000000,  0.7500000000000000 ]
     mass: 39.098300
   - symbol: K  # 15
     coordinates: [  0.6622888400000000,  0.3508189400000000,  0.2500000000000000 ]
     mass: 39.098300
   - symbol: K  # 16
     coordinates: [  0.3377111600000000,  0.3508189400000000,  0.2500000000000000 ]
     mass: 39.098300
   - symbol: K  # 17
     coordinates: [  0.8377111600000000,  0.1491810600000000,  0.7500000000000000 ]
     mass: 39.098300
   - symbol: K  # 18
     coordinates: [  0.1622888400000000,  0.1491810600000000,  0.7500000000000000 ]
     mass: 39.098300
   - symbol: K  # 19
     coordinates: [  0.1622888400000000,  0.8508189400000000,  0.2500000000000000 ]
     mass: 39.098300
   - symbol: K  # 20
     coordinates: [  0.8377111600000000,  0.8508189400000000,  0.2500000000000000 ]
     mass: 39.098300
   - symbol: Ti # 21
     coordinates: [  0.5000000000000000,  0.9150526600000000,  0.2500000000000000 ]
     mass: 47.867000
   - symbol: Ti # 22
     coordinates: [  0.5000000000000000,  0.0849473400000000,  0.7500000000000000 ]
     mass: 47.867000
   - symbol: Ti # 23
     coordinates: [  0.0000000000000000,  0.4150526600000000,  0.2500000000000000 ]
     mass: 47.867000
   - symbol: Ti # 24
     coordinates: [  0.0000000000000000,  0.5849473400000000,  0.7500000000000000 ]
     mass: 47.867000
   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

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