#!/usr/bin/env python # coding: utf-8 # # Creating structures in pyiron # This section gives a brief introduction about some of the tools available in pyiron to construct atomic structures. # For the sake of compatibility, our structure class is written to be compatible with the popular Atomistic Simulation Environment package ([ASE](https://wiki.fysik.dtu.dk/ase/)). This makes it possible to use routines from ASE to help set-up structures. # # Furthermore, pyiron uses the [NGLview](http://nglviewer.org/nglview/latest/api.html) package to visualize the structures and trajectories interactively in 3D using NGLview-widgets. # As preparation for the following discussion we import a few python libraries # In[1]: import numpy as np get_ipython().run_line_magic('matplotlib', 'inline') import matplotlib.pylab as plt # and create a pyiron project named 'structures': # In[2]: from pyiron.project import Project pr = Project(path='structures') # ## Bulk crystals # In this section we discuss various possibilities to create bulk crystal structures. # ### Using `create_structure()` # The simplest way to generate simple crystal structures is using the inbuilt `create_structure()` function specifying the element symbol, Bravais basis and the lattice constant(s) # # Note: The output gives a cubic cell rather than the smallest non-orthogonal unit cell. # In[3]: structure = pr.create_structure('Al', bravais_basis='fcc', lattice_constant=4.05) # To plot the structure interactively in 3D simply use: # In[4]: structure.plot3d() # ### Using `create_ase_bulk()` # # Another convenient way to set up structures is using the `create_ase_bulk()` function which is built on top of the ASE build package for [bulk crystals](https://wiki.fysik.dtu.dk/ase/ase/build/build.html#ase.build.bulk). This function returns an object which is of the pyiron structure object type. # **Example:** fcc bulk aluminum in a cubic cell # In[5]: structure = pr.create_ase_bulk('Al', cubic=True) structure.plot3d() # **Example:** wurtzite GaN in a 3x3x3 repeated orthorhombic cell. # # Note: # - In contrast to new_structure = structure.repeat() which creates a new object, set_repeat() modifies the existing structure object. # - Setting `spacefill=False` in the `plot3d()` method changes the atomic structure style to "ball and stick". # In[6]: structure = pr.create_ase_bulk('AlN', crystalstructure='wurtzite', a=3.5, orthorhombic=True) structure.set_repeat([3,3,3]) structure.plot3d(spacefill=False) # ### Using the ASE spacegroup class # In[7]: from ase.spacegroup import crystal from pyiron import ase_to_pyiron a = 9.04 skutterudite = crystal(('Co', 'Sb'), basis=[(0.25, 0.25, 0.25), (0.0, 0.335, 0.158)], spacegroup=204, cellpar=[a, a, a, 90, 90, 90]) skutterudite = ase_to_pyiron(skutterudite) # In[8]: skutterudite.plot3d() # ## Accessing the properties of the structure object # Using the bulk aluminum fcc example from before the structure object can be created by # In[9]: structure = pr.create_ase_bulk('Al', cubic=True) # A summary of the information about the structure is given by using # In[10]: print(structure) # The cell vectors of the structure object can be accessed and edited through # In[11]: structure.cell # The positions of the atoms in the structure object can be accessed and edited through # In[12]: structure.positions # ## Point defects # ### Creating a single vacancy # We start by setting up a 4x4x4 supercell # In[13]: structure = pr.create_ase_bulk('Al', cubic=True) structure.set_repeat([4,4,4]) # To create the vacancy at position index "0" simply use: # In[14]: del structure[0] # To plot the structure that now contains a vacancy run: # In[15]: structure.plot3d() # ### Creating multiple vacancies # In[16]: # First create a 4x4x4 supercell structure = pr.create_ase_bulk('Al', cubic=True) structure.set_repeat([4,4,4]) print('Number of atoms in the repeat unit: ',structure.get_number_of_atoms()) # The `del` command works for passing a list of indices to the structure object. For example, a random set of n$_{\text{vac}}$ vacancies can be created by using # In[17]: # Generate a list of indices for the vacancies n_vac = 24 vac_ind_lst = np.random.permutation(len(structure))[:n_vac] # Remove atoms according to the "vac_ind_lst" del structure[vac_ind_lst] # In[18]: # Visualize the structure print('Number of atoms in the repeat unit: ',structure.get_number_of_atoms()) structure.plot3d() # ### Random substitutial alloys # In[19]: # Create a 4x4x4 supercell structure = pr.create_ase_bulk('Al', cubic=True) structure.set_repeat([4,4,4]) # Substitutional atoms can be defined by changing the atomic species accessed through its position index. # # Here, we set $n_{\text{sub}}$ magnesium substitutional atoms at random positions # In[20]: n_sub = 24 structure[np.random.permutation(len(structure))[:n_sub]] = 'Mg' # In[21]: # Visualize the structure and print some additional information about the structure print('Number of atoms in the repeat unit: ',structure.get_number_of_atoms()) print('Chemical formula: ',structure.get_chemical_formula()) structure.plot3d() # ## Explicit definition of the structure # # You can also set-up structures through the explicit input of the cell parameters and positions # In[22]: cell = 10.0 * np.eye(3) # Specifying the cell dimensions positions = [[0.25, 0.25, 0.25], [0.75, 0.75, 0.75]] elements = ['O', 'O'] # Now use the Atoms class to create the instance. O_dimer = pr.create_atoms(elements=elements, scaled_positions=positions, cell=cell) O_dimer.plot3d() # ## Surfaces (with ASE) # # Some more commonly studied surfaces can also be defined with the `create_surface()` function based on the [ASE surface builder](https://wiki.fysik.dtu.dk/ase/ase/build/surface.html) # In[23]: fcc111 = pr.create_surface("Pt", surface_type="fcc111", size=(3, 4, 5), a=4.2, vacuum=20) # In[24]: fcc111.plot3d() # ## Importing from cif/other file formats # # Parsers from ASE can be used to import structures from other formats. In this example, we will download and import a Nepheline structure from the [Crystallography Open Database (COD)](http://www.crystallography.net/cod/index.php) # In[25]: # The COD structures can be accessed through their unique COD identifier filename = '1008753.cif' url = 'http://www.crystallography.net/cod/{}'.format(filename) # In[26]: # Download and save the structure file locally import urllib urllib.request.urlretrieve(url=url, filename='strucs.'+filename); # In[27]: # Using ase parsers to read the structure and then convert to a pyiron instance import ase from pyiron import ase_to_pyiron structure = ase_to_pyiron(ase.io.read(filename='strucs.'+filename, format='cif')) # In[28]: structure.plot3d() # In[ ]: