Periodic DFTB, Lattice Optimization, DOS, band structure and phonons

This tutorial will walk through the use of periodic DFTB to optimize the lattice parameters. The density of states and band structure of the optimized structures will be displayed.

Step 1: Lattice optimization - input setup

To perform geometry optimization of a lattice, we will start from a diamond crystal with incorrect (too large) lattice values, and let DFTB optimize this value. Next, we will proceed to display additional information obtained during the evaluation.

Start ADFinput
1. Switch to DFTB
2. Choose Bulk to enable periodicity.
3. Click the structure tool (the snowflake), and chose Cubic → Diamond
../_images/t13_input.png
In the dialog window, set the lattice parameter a to 4.0
Click OK
../_images/t13_diamond_setup.png

You should now have a diamond crystal with a too-large lattice:

We will now set up the DFTB simulation parameters:

1. Set the K-Space sampling to 5
2. Select the ‘DFTB.org/3ob-3-1’ parameter set
3. Click on ... next to GeometryOptimization to go to the Geometry Optimization options panel
4. In the Geometry Optimization panel tick the Optimize lattice option
../_images/t13_settings.png

Step 2: Lattice optimization - execution

Choose File → Save as... and save the input as “DFTB-Diamond”
File → Run
While the optimization is running, you can watch the progress by clicking SCM → Movie

When asked to read the new coordinates (when the calculation finishes), click Yes

From the movie, you can observe how the unit cell shrinks as it is optimized.

Step 3: Band Structure and DOS

You can visualize the Band structure and density of states (DOS) of the converged geometry:

SCM → BandStructure (in the ADFmovie, ADFinput or ADFJobs window)
../_images/t13_band_structure.png

See also

DFTB documentation: Periodic

Step 4: Phonons

Activate the ADFinput window of the DFTB-Diamond input
Select “Phonons” as Task
File → Save as..., use “DFTB-Diamond_phonons” as filename
File → Run
When completed: use SCM → Band Structure to visualize the phonon dispersion curves

Clicking on the curves at the location of the vertical red bars will show the crystal vibrations.

../_images/t13_phonons.png

See also

For the study of phonons isotopic shift see the AtomMasses key.