{
“cells”: [
{

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

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“<center>n”, “<img src="warwick-logo.png">n”, “<h1>Quantum Mechanics and Interatomic Potentials –<br> the QUIP code</h1>n”, “<h3>James Kermode</h3>n”, “Warwick Centre for Predictive Modelling / School of Engineering<br>n”, “University of Warwickn”, “<br>n”, “n”, “<h4>CCP5++ Software Seminar - 17th June 2021</h4> n”, “ n”, “ n”, “<table bgcolor="#ffffff"> n”, “<tr>n”, “ <td><img src="WCPM_logo_text.png" width="100%"></td>n”, “ <td><img src="hybrid.png" width="100%"></td>n”, “</tr>n”, “</table>n”, “n”, “</center>n”, “n”, “n”, “These slides will subsequently be made available at <a href="https://libatoms.github.io/QUIP/Tutorials">https://libatoms.github.io/QUIP/Tutorials</a>

]

}, {

“cell_type”: “code”, “execution_count”: null, “metadata”: {

“slideshow”: {

“slide_type”: “skip”

}

}, “outputs”: [], “source”: [

“import numpy as npn”, “import scipy.linalgn”, “import matplotlib.pyplot as pltn”, “import quippyn”, “from mpl_toolkits.mplot3d import Axes3Dn”, “n”, “#Customize default plotting stylen”, “%matplotlib inlinen”, “import seaborn as snsn”, “sns.set_context(‘talk’)”

]

}, {

“cell_type”: “code”, “execution_count”: null, “metadata”: {

“slideshow”: {

“slide_type”: “skip”

}

}, “outputs”: [], “source”: [

“plt.rcParams["figure.figsize"] = (12, 10)n”, “n”, “from ase.neighborlist import neighbor_listn”, “n”, “def get_bonds(atoms, cutoff=3.05, filter_in_cell=True):n”, “ i, j, S = neighbor_list(‘ijS’, atoms, cutoff)n”, “ if filter_in_cell:n”, “ in_cell = np.all(S == 0., axis=1)n”, “ i = i[in_cell]n”, “ j = j[in_cell]n”, “ bonds = [ np.r_[[atoms.positions[I, :], n”, “ atoms.positions[J, :]]] for (I, J) in zip(i, j)]n”, “ return bonds”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Motivationn”, “n”, “- Many of the activities our community is interested in require robust, automated coupling of two or more codesn”, “- For example, current projects include:n”, “n”, “ - developing and applying multiscale methodsn”, “ - generating interatomic potentialsn”, “ - uncertainty quantificationn”, “n”, “<center>n”, “<img src="multiscale.png" width="80%">n”, “</center>n”, “n”, “Image credit: Gábor Csányi

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# The QUIP coden”, “n”, “[QUIP](https://libatoms.github.io/QUIP) is a collection of software tools to carry out molecular dynamics simulations in non-standard ways, in particular:n”, “n”, “- Using the Gaussian Approximation Potential (GAP) framework for data-driven potentialsn”, “n”, “- Hybrid combinations in the style of QM/MM with a particular focus on materials systems such as metals and semiconductorsn”, “n”, “Long-term support of the package is ensured by:n”, “ - James Kermode (Warwick)n”, “ - Gabor Csanyi (Cambridge)n”, “ - Noam Bernstein (Naval Research Lab)n”, “ n”, “Portions of the code were written by: Albert Bartok-Partay, Livian”, “Bartok-Partay, Federico Bianchini, Anke Butenuth, Marco Caccin,n”, “Silvia Cereda, Gabor Csanyi, Alessio Comisso, Tom Daff, ST John,n”, “Chiara Gattinoni, Gianpietro Moras, James Kermode, Letif Mones,n”, “Alan Nichol, David Packwood, Lars Pastewka, Giovanni Peralta, Ivann”, “Solt, Oliver Strickson, Wojciech Szlachta, Csilla Varnai, Stevenn”, “Winfield, Tamas K Stenczel, Adam Fekete. n”, “n”, “See [GitHub contributors](https://github.com/libAtoms/QUIP/graphs/contributors) for a more complete list of code authors”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Code philosophy and goalsn”, “n”, “- QUIP was born because of the need to efficiently tie together a wide variety of different models, both empirical and quantum mechanical.n”, “n”, “- It is not intended to be competitive in terms of performance with codes such as LAMMPS and Gromacs. n”, “n”, “- The Atomic Simulation Environment (ASE) also does does this, and is much more widely used, but QUIP has a number of unique features:n”, “n”, “ - Access to Fortran types and routines from Python via the quippy packagen”, “ - Support for Gaussian Approximation Potentials (GAP)n”, “ - Does not assume minimum image convention, so interatomic potentials can have cutoffs that are larger than the periodic unit cell size”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“## Historyn”, “n”, “- QUIP began as rewrite of earlier C++ and Fortran 77 codes in ca. 2005n”, “- Coded in modern Fortran (Fortran 95 plus allocatable array extensions, but none of the object-oriented features from 2003/2008, mostly because of limited compiler support historically)n”, “- [Expressive Programming](http://www.southampton.ac.uk/~fangohr/randomnotes/iop_cpg_newsletter/2007_1.pdf), where code is as close as possible to abstract algorithm, without sacrificing (too much) performancen”, “ - e.g. we have a type(Atoms) with components Atoms%positions, etcn”, “ - not a full OO approach with arrays of individual Atom objects, which would risk reducing cache efficiencyn”, “- OpenMP and MPI parallelisation for potential evaluation (although LAMMPS pair_style quip will be faster)n”, “- quippy deep Python bindings provided acccess to elements within derived types”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“## Current statusn”, “n”, “- QUIP now comprises ~200 kLOC of Fortran 95 coden”, “- Main use is as GAP driver and for fitting GAP modelsn”, “- Fortran to Python interface generation now separated out into [f90wrap](https://github.com/jameskermode/f90wrap) standalone packagen”, “- Code is now ~80% Fortran with minimal Python high-level interface to ASEn”, “- Unit tests, driven via quippy Python package, have reasonable coverage of public APIn”, “- Continuous integration runs unit tests on GitHub Actions (recently migrated from Travis-CI) on all commits and before PRs get merged, and also builds [documentation](https://libatoms.github.io/QUIP)n”, “- High-level generic functionality has (mostly) been moved out of QUIP and contributed to more widely used codes, e.g. the [preconditioned optimizers](https://wiki.fysik.dtu.dk/ase/ase/optimize.html#preconditioned-optimizers) in ASE were first prototyped in QUIP”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Code Availabilityn”, “n”, “### Licensen”, “n”, “Most of QUIP is licensed under the GPLv2, with some code in the public domain. Submodules have different licences, e.g. GAP has a non-commerical [academic software license](https://github.com/libAtoms/GAP/blob/main/LICENSE.md).n”, “n”, “### Building from sourcen”, “n”, “Quick start:n”, “`\n", "git clone --recursive https://github.com/libAtoms/QUIP\n", "cd QUIP\n", "export QUIP_ARCH=gfortran_linux_x86_64_openmp # for example\n", "make config # answer some y/n questions\n", "make\n", "`n”, “n”, “Required: n”, “ - recent gfortran or ifort compilern”, “ - LAPACK/BLAS linear algebra libraries (e.g. libblas-dev and liblapack-dev on Ubuntu or Intel MKL)n”, “ n”, “See the GitHub [README](https://github.com/libAtoms/QUIP) for detailed instructions, or try one of the pre-compiled binary releases.”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“## Binary Installationn”, “n”, “I have very recently added binary wheels for Python on x86_64 Linux and Mac OS X machines:n”, “n”, “`\n", "pip install quippy-ase\n", "`n”, “n”, “Python dependencies (numpy, f90wrap and ase) are installed automatically, and you get the quip and gap_fit command line programs as a bonus. [Open issues](https://github.com/libAtoms/quippy-wheels/issues) in quippy-wheels with problems.n”, “n”, “## Docker and Singularity containersn”, “n”, “For a quick start, a pre-compiled [Docker image](https://hub.docker.com/r/libatomsquip/quip/) is also available:n”, “n”, “n”, “`\n", "docker pull libatomsquip/quip\n", "`n”, “n”, “This includes QUIP, GAP and LAMMPS setup to work with QUIP, and also works with Singularity for use on machines where you are not root:n”, “n”, “`\n", "singularity pull docker://libatomsquip/quip\n", "`

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# QUIP Featuresn”, “n”, “The following interatomic potentials are presently coded or linked in QUIP:n”, “n”, “ - BKS (van Beest, Kremer and van Santen) (silica)n”, “ - EAM (fcc metals)n”, “ - Fanourgakis-Xantheas (water)n”, “ - Finnis-Sinclair (bcc metals)n”, “ - Flikkema-Bromleyn”, “ - GAP (Gaussian Approximation Potentials)n”, “ - Guggenheim-McGlashann”, “ - Brenner (carbon)n”, “ - OpenKIM (general interface)n”, “ - Lennard-Jonesn”, “ - …n”, “ “

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“ - …n”, “ - MBD (many-body dispersion correction)n”, “ - Morsen”, “ - Partridge-Schwenke (water monomer)n”, “ - Stillinger-Weber (carbon, silicon, germanium)n”, “ - Si MEAM (silicon)n”, “ - Sutton-Chenn”, “ - Tangney-Scandolo (silica, titania etc) - including short-ranged reparamaterisationn”, “ - Tersoff (silicon, carbon)n”, “ - Tkatchenko-Sheffler pairwise dispersion correctionn”, “n”, “The following tight-binding functional forms and parametrisations aren”, “implemented:n”, “n”, “ - Bowlern”, “ - DFTBn”, “ - GSPn”, “ - NRL-TB”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“# QUIP data modeln”, “n”, “Central to QUIP is the Atoms type.n”, “n”, “Basic structure mirrors XYZ format with chemical species and atomic positions plus a free-form comment line.n”, “n”, “Extended XYZ format adds lattice, PBC and additional columns:n”, “n”, “`\n", "2\n", "Lattice=\"0.0 2.715 2.715 2.715 0.0 2.715 2.715 2.715 0.0\" Properties=species:S:1:pos:R:3:forces:R:3 energy=-0.07221481569985196 pbc=\"T T T\"\n", "Si  0.00049671 -0.00013826  0.00064769 -0.00017116   0.00001541   0.00014705\n", "Si  1.35902303  1.35726585  1.35726586  0.00017116  -0.00001541  -0.00014705\n", "`n”, “n”, “This maps onto QUIP’s flexible (but not too flexible) data model for atomic per-configuration and per-atom properties, analogous to ase.atoms.Atoms.arrays and ase.atoms.Atoms.info dictionaries in ASE.n”, “n”, “- Extended XYZ now quite widely used and supported, e.g. in [ASE](http://www.southampton.ac.uk/~fangohr/randomnotes/iop_cpg_newsletter/2007_1.pdf) and the [OVITO](https://www.ovito.org) visualisation package.n”, “n”, “- Specification has recently been formalised to tidy up what’s allowed in the key=value pairs. A canonical parser with C, Fortran, Python and Julia bindings will shortly be [released]( https://github.com/libAtoms/extxyz), and integration with all dependencies.”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Standalone QUIP usagen”, “n”, “However you have installed QUIP, you will have a quip executable which can be used for basic tasks such as evaluating forces, energies and virials. For example, to use the Tangney-Scandolo potential to evaluate the energy of a quartz unit cell:n”, “n”, “`shell\n", "quip init_args=\"IP TS\" param_filename=TS_params.xml atoms_filename=quartz.xyz E\n", "`n”, “n”, “Potential parameters are stored in XML files, and can be initialised either by name as above or by XML label, e.g.:n”, “n”, “`shell\n", "quip init_args=\"xml_label=TS_potential\" param_filename=TS_params.xml atoms_filename=quartz.xyz E\n", "`n”, “n”, “The latter is more flexible as it supports potentials which are a combination of other potentials (e.g. a GAP with a 2-body and manybody contributions which must be summed to get the total potential).n”, “n”, “There is also a built in MD code which has some specialised features, such as a Nose-Hoover-Langevin chain thermostat, but for general usage we recommend driving MD from either ASE or LAMMPS.”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Usage with LAMMPSn”, “n”, “The LAMMPS MD code comes with a [USER-QUIP](https://docs.lammps.org/Build_extras.html#user-quip-package) package which can be turned out to provide a [pair_style quip](https://docs.lammps.org/pair_quip.html) command that allows QUIP potentials to be used within LAMMPS simulations.n”, “n”, “For example, to use the Si GAP potential from LAMMPS, use a script simliar to [this one](quip_lammps_example.sh):”

]

}, {

“cell_type”: “code”, “execution_count”: 41, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“#!/bin/bashrn”, “rn”, “if [[ ! -f gp_iter6_sparse9k.xml ]]; thenrn”, “ curl https://www.repository.cam.ac.uk/bitstream/handle/1810/317974/Si_PRX_GAP.zip -o Si_PRX_GAP.ziprn”, “ unzip Si_PRX_GAP.ziprn”, “firn”, “rn”, “cat << EOF > lammps.inrn”, “unitsttmetalrn”, “boundarytp p prn”, “rn”, “atom_styletatomicrn”, “atom_modify map array sort 0 0.0rn”, “rn”, “pair_style quiprn”, “read_data silicon_input_file.lmprn”, “pair_coeff * * gp_iter6_sparse9k.xml "Potential xml_label=GAP_2017_6_17_60_4_3_56_165" 14rn”, “rn”, “neighbort0.3 binrn”, “neigh_modifytdelay 10rn”, “rn”, “fixtt1 all nvern”, “thermott10rn”, “timestept0.001rn”, “rn”, “runtt10rn”, “EOFrn”, “rn”, “lmp_mpi < lammps.inrn”

]

}

], “source”: [

“!cat quip_lammps_example.sh”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Using QUIP with Python and the Atomic Simulation Environmentn”, “n”, “Python has emerged as the de facto standard “glue” language: codes that have a Python interface can be combined in complex waysn”, “n”, “- [numpy](http://www.numpy.org/)/[scipy](http://scipy.org/) ecosystemn”, “- [matplotlib](http://matplotlib.org/) plotting and interactive graphicsn”, “- [jupyter](https://jupyter.org/)/IPython notebooks encourage reproducible researchn”, “- [anaconda](https://jupyter.org/) distribution and package management systemn”, “ n”, “<center><img src="scipy-stack.png" width="70%"></center>n”, “n”, “http://www.scipy.org

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Atomic Simulation Environment (ASE)n”, “n”, “- Within atomistic modelling, emerging standard for scripting interfaces is ASEn”, “- Wide range of calculators, very similar data model for Atoms objects to QUIPn”, “- Can use many codes as drop-in replacements:n”, “n”, “<center><img src="ase-calculators.png" width="60%"></center>n”, “n”, “n”, “https://wiki.fysik.dtu.dk/ase/”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# quippy demo: analysing GAP models with predictive variancen”, “n”, “As well as energy, force and virial stress, GAP potentials can be used to predict the uncertainty in the local energy due to limited training data by passing the local_gap_variance calculation argument, either when constructing the potential or for specific calls.n”, “n”, “We can use this to understand when and where more training data is needed. Let’s try it out near a vacancy. First we build a bulk cell and relax it to get the correct lattice constant:”

]

}, {

“cell_type”: “code”, “execution_count”: 42, “metadata”: {}, “outputs”: [

{

“name”: “stdout”, “output_type”: “stream”, “text”: [

“PreconLBFGS: 0 14:26:21 -1305.407858 0.0000 0.0097n”, “PreconLBFGS: 1 14:26:23 -1305.421024 0.0000 0.0003n”

]

}

], “source”: [

“from ase.build import bulkn”, “from ase.constraints import ExpCellFiltern”, “from ase.optimize.precon import PreconLBFGSn”, “from quippy.potential import Potentialn”, “n”, “# construct a potential, usage is the same as quip command linen”, “pot = Potential(‘xml_label=GAP_2017_6_17_60_4_3_56_165’,n”, “ param_filename=’gp_iter6_sparse9k.xml’,n”, “ calc_args=’local_gap_variance’)n”, “n”, “si = bulk(‘Si’, cubic=True) # 8 atom cubic silicon celln”, “si.calc = pot # associated Atoms with GAP calculatorn”, “n”, “# relax the unit cell to get equilibrium lattice constantn”, “ecf = ExpCellFilter(si)n”, “opt = PreconLBFGS(ecf, precon=None) # too small for preconditioningn”, “opt.run(fmax=1e-3) # optimize cell and positions (although positions won’t change here)n”, “a0 = np.diag(si.cell).mean()n”, “e0 = si.get_potential_energy() / len(si) # ground state energy per atom®”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“Now we make a supercell, choose an atom near the centre and delete it:”

]

}, {

“cell_type”: “code”, “execution_count”: 43, “metadata”: {}, “outputs”: [

{
“data”: {
“text/plain”: [

“array([1.09028249, 1.06446493, 1.08042361, 1.09726393, 1.04964909,n”, “ 1.07696073, 1.04253642, 1.05756564, 1.07986555, 1.21075713,n”, “ 1.08904488, 1.06067924, 1.03184873, 1.0483741 , 1.50264259,n”, “ 8.82800571, 1.13526427, 1.07445902, 1.06308149, 1.05085032,n”, “ 1.36672006, 7.41051599, 1.07830702, 1.05714689, 1.07577689,n”, “ 1.11775393, 1.02777397, 1.03472811, 1.37581384, 1.07758179,n”, “ 1.40593821, 1.11762489, 1.02609731, 1.0472251 , 1.6245512 ,n”, “ 9.00662199, 1.07141401, 1.07419136, 1.04675406, 1.09336236,n”, “ 1.02187833, 1.09920161, 1.635866 , 1.07518514, 1.03719514,n”, “ 1.035885 , 1.60476878, 1.11706124, 1.03425407, 1.09399015,n”, “ 1.33701387, 1.06056646, 1.55086343, 1.16445632, 1.08280879,n”, “ 1.07055096, 8.81939969, 1.39563815, 1.07894506, 1.62557041,n”, “ 1.13917427, 1.38065722, 1.03189404])”

]

}, “execution_count”: 43, “metadata”: {}, “output_type”: “execute_result”

}

], “source”: [

“si_vac = bulk(‘Si’, a=a0, cubic=True) * 2n”, “si_vac.calc = potn”, “n”, “# find an atom near the middle of the cell and delete itn”, “vac_idx = ((si_vac.positions - np.diag(si_vac.cell) / 2.0) ** 2).sum(axis=1).argmin()n”, “vac_pos = si_vac.positions[vac_idx]n”, “del si_vac[vac_idx]n”, “n”, “# displace atoms from equilibriumn”, “si_vac.rattle(0.05)n”, “n”, “local_energy = si_vac.get_potential_energies() - e0 # get the per-atom energiesn”, “n”, “# additional quantities returned by the Potential are stored in extra_results dictionaryn”, “local_sigma = np.sqrt(pot.extra_results[‘atoms’][‘local_gap_variance’]) * 1e3 # convert to meVn”, “local_sigma “

]

}, {

“cell_type”: “code”, “execution_count”: 44, “metadata”: {

“code_folding”: [

0

], “scrolled”: false, “slideshow”: {

“slide_type”: “subslide”

}

}, “outputs”: [

{
“data”: {

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”, “text/plain”: [

“<Figure size 864x720 with 2 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“# plot predicted errorsn”, “fig = plt.figure()n”, “ax = fig.add_subplot(111, projection=’3d’)n”, “n”, “for bond in get_bonds(si_vac):n”, “ ax.plot(bond[:, 0], bond[:, 1], bond[:, 2], c=’k’, lw=5, alpha=0.2)n”, “n”, “p = ax.scatter(si_vac.positions[:, 0], si_vac.positions[:, 1], si_vac.positions[:, 2],n”, “ s=200, c=local_sigma, label=’Predicted error (meV/atom)’, vmin=0)n”, “ax.scatter([vac_pos[0]], [vac_pos[1]], [vac_pos[2]], s=200, marker=’x’,n”, “ label=’Vacancy position’)n”, “fig.colorbar(p, ax=ax)n”, “ax.legend()n”, “ax.set_axis_off() “

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“Unsurprisingly, the predicted errors rise near the vacancy; even though vacancies are accurately predicted by this GAP model, they are still less well covered by the training database than bulk-like configurations.”

]

}, {

“cell_type”: “code”, “execution_count”: 45, “metadata”: {

“code_folding”: [

0

]

}, “outputs”: [

{
“data”: {

“image/png”: 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n”, “text/plain”: [

“<Figure size 864x720 with 2 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“# plot local_energy vs local_sigman”, “fig, ax = plt.subplots()n”, “p = ax.scatter(local_energy, local_sigma, c=local_energy)n”, “fig.colorbar(p)n”, “ax.set_xlabel(‘Local energy $e - e_0$/ eV’)n”, “ax.set_ylabel(‘Local predicted error / meV’);”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Atomic Environment Descriptorsn”, “n”, “The descriptors used for training GAP models are also available through the quippy Python wrapper (and also through the quip command line tool, if you prefer). This is very useful for interactive analysis or for prototyping new approaches before implementing them in Fortran.n”, “n”, “For example, to compare the atoms in our vacancy structure with one another and also with a very different structure (fcc), we can use the Descriptor wrapper class:”

]

}, {

“cell_type”: “code”, “execution_count”: 46, “metadata”: {}, “outputs”: [

{
“data”: {
“text/plain”: [

“(90, 547)”

]

}, “execution_count”: 46, “metadata”: {}, “output_type”: “execute_result”

}

], “source”: [

“from quippy.descriptors import Descriptorn”, “n”, “desc = Descriptor("soap l_max=6 n_max=12 cutoff=5.0 atom_sigma=0.5")n”, “n”, “D1 = desc.calc(si_vac)[‘data’]n”, “n”, “si_fcc = bulk(‘Si’, ‘fcc’, a=a0) * 3n”, “si_fcc.rattle(0.05)n”, “D2 = desc.calc(si_fcc)[‘data’]n”, “n”, “D = np.r_[D1, D2] # stack arrays in shape N_atoms x N_descn”, “labels = np.array([1] * len(si_vac) + [2] * len(si_fcc))n”, “D.shape”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“The kernel matrix can be computed from the descriptor arrays vian”, “n”, “$$n”, “K_{ij} = [(D D^T)]_{ij}^\zetan”, “$$”

]

}, {

“cell_type”: “code”, “execution_count”: 47, “metadata”: {

“slideshow”: {

“slide_type”: “-”

}

}, “outputs”: [

{
“data”: {

“image/png”: 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n”, “text/plain”: [

“<Figure size 864x720 with 2 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“K = np.power(D @ D.T, 2.0) # exponent ζ=2n”, “plt.imshow(K)n”, “plt.colorbar();”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“# Kernel PCAn”, “n”, “We can use this kernel matrix to map environments:”

]

}, {

“cell_type”: “code”, “execution_count”: 49, “metadata”: {}, “outputs”: [], “source”: [

“N = K.shape[0]; one_n = np.ones((N,N)) / Nn”, “K = K - one_n @ K - K @ one_n + one_n @ K @ one_n # centre Kn”, “eigvals, eigvecs = scipy.linalg.eigh(K)n”, “eigvals, eigvecs = eigvals[::-1], eigvecs[:, ::-1] # reverse ordern”, “X_pca = np.c_[[eigvecs[:, i] for i in range(2)]] # select first 2 components”

]

}, {

“cell_type”: “code”, “execution_count”: 50, “metadata”: {

“code_folding”: [

0

]

}, “outputs”: [

{
“data”: {

“image/png”: 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/UcvAJUmSqm779VlPfSkpnx3ffgMsPmuqogLgc5/7HCeccML+54cckqWeAwMDABx55JETXqOStrNd3SX2KaXbIuIbwMcLNevvBt4EHAucN6LpV8h64KNw3t2FtgfIht5zd0rpmpoGLkmSVAubr3hs+E0pkcvaTXFif8opp4w5eXbu3LkAPPDAA7S3t497jZFtNb56HIoDWWWbfypsPw0cCrwwpfTjaY1KkiRpqu3tHT+ph+z43t6piacMS5YsAeCOO+6YsO0JJ5zAIYccUlbb2a4uE/uU0sMppb9IKS1MKc1JKa1MKV0/qs3zUkoTlktJKUVK6d01C1aSJKmWWuZnPfLjiVzWboZ48YtfDMBll102YduWlhZOP/101q9fz//8z//UOrS6VpeJvSRJkgqWn1tej/3yc6cmnjI8+9nP5g//8A/54he/yLe+9a3HHX/ooYf4y7/8y/3PL7roIvL5PG9605t48MEHH9f+Jz/5CV//+tdrGnM9qLsx9pIkSRph0ZlZScv7No+d4EcOjl4Oi86Y8tDG89WvfpWzzjqLl770pbzsZS/j+c9/PkcccQR33XUXl19+OY8++igf+9jHgKxO/ac//Wne+c53smTJEt7whjdwwgknMDAwwA033MC3v/1tLrnkkml+R9PPxF6SJKme5ZqyOvVj1bFP+Sypf92VM26RqqOOOopbb72Vf/7nf+aKK67gAx/4AI8++ijHHXccr3rVq3j3u999QPsLL7yQlStX8o//+I+sXbuW3t5ejjzySJ75zGdy+eWX86pXvWp63sgMEiml6Y6h7kVEX1tbW1tfX990hyJJkurAr3/9a4D9dd2rIj+clbR83MqzZ8y4pF5jm+jnor29nf7+/v6UUvtYx+2xlyRJagS5pqyc5RSXtNTM4eRZSZIkqQGY2EuSJEkNwMRekiRJagAm9pIkSVIDMLGXJEmSGoCJvSRJ0hTL5XLs27cPy45rpOHhYXK5yafnJvaSJElTrLW1lUceeYTe3l7y+TFWi9Ws89vf/pahoSHmzJkz6WtYx16SJGmKtbW18eCDD7Jnzx5+97vfceihh9LU5CJSs9Xw8DBDQ0MceeSRzJs3b9LXMbGXJEmaYrlcjq6uLtrb2xkYGGDfvn323M9ihx566P6kPiImfR0Te0mSpGnS0tJCS0vLdIehBuEYe0mSJKkBmNhLkiRJDcDEXpIkSWoAJvaSJElSAzCxlyRJkhqAib0kSZLUAEzsJUmSpAZgYi9JkiQ1ABN7SZIkqQGY2EuSJEkNwMRekiRJagAm9pIkSVIDMLGXJEmSGoCJvSRJktQATOwlSZKkBmBiL0mSJDUAE3tJkiSpAZjYS5IkSQ3AxF6SJElqACb2kiRJUgMwsZckSZIagIm9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcDEXpIkSWoAJvaSJElSAzCxlyRJkhqAib0kSZLUAEzsJUmSpAZgYi9JkiQ1ABN7SZIkqQGY2EuSJEkNwMRekiRJagAm9pIkSVIDMLGXJEmSGoCJvSRJktQATOwlSZKkBmBiL0mSJDUAE3tJkiSpAZjYS5IkSQ3AxF6SJElqACb2kiRJUgMwsZckSZIagIm9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDaAuE/uIaI6Iv4+Inoh4KCJujYgzyjjvdRFxY0TcFxFDEXFvRKyJiGOnIm5JkiSpVg6Z7gAmaS3wCuBiYDtwHvDdiFiVUvrpOOedBOwAvgP8FjgWeCvwoohYnlK6r4YxS5IkSTUTKaXpjqEiEbESuA14T0rp4sK+OcAdQE9K6bQKr/f7wH8Af5FS+sQkY+pra2tr6+vrm8zpkiRJ0oTa29vp7+/vTym1j3W8HofinAM8CnypuCOl9DDwZeDUiFhY4fV+Xdi2VyU6SZIkaRrU41CcFcBdKaXBUfs3AAGcDOwc7wIR8USy934McFFh9w3jtO+bIKa2CY5LkiRJNVWPif1CsnHyoxWT+c4yrrEN6Cj8eQ/wpymlm6oQmyRJkjQt6jGxPxwYGmP/wyOOT+TlQAuwBHg9cOR4jUuNYyoq9Ojbay9JkqRpU4+J/UNA8xj754w4Pq6U0s2FP343Iq4B7oiIwZTSP1cnREmSJGlq1ePk2Z1kw3FGK+7rqeRiKaV7yKrivO4g45IkSZKmTT0m9rcDSyKiddT+UwrbTZO45uE4lEaSJEl1rB4T+yuBQ4G3FHdERDPQDfw4pdRT2HdMRCwZeWJEzB99sYh4Blklnf+oYcySJElSTdXdGPuU0m0R8Q3g44Wa9XcDbyJbRfa8EU2/AqwiK4FZ9OuI+DqwBRgElgLnAw8AH6l99JIkSVJt1F1iX/BGskT8jcATgM3AC1NKP57gvEuAM4GzgSPIxut/HfhIYay9JEmSVJcipTTdMdS9iOhra2tr6+vrm+5QJEmS1KDa29vp7+/vL1WKvR7H2EuSJEkaxcRekiRJagAm9pIkSVIDMLGXJEmSGoCJvSRJktQATOwlSZKkBmBiL0mSJDUAE3tJkiSpAZjYS5IkSQ3AxF6SJElqACb2kiRJUgMwsZckSZIagIm9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcDEXpIkSWoAh0x3AFKlhvOJ9dt2sW5jD3sGh+hobWb1ik5WLV5AUy6mOzxJkqRpYWKvurJ7cIjuNRvYsmOAXEA+QS7g2k09LOuay5rulcxrbZ7uMCVJkqacQ3FUN4bzie41G9jaMwBkSf3I7daeAbrXbGC4uEOSJGkWMbFX3Vi/bRdbdgxQKm/PJ9iyY4Cbt/VObWCSJEkzgIm96sa6jT1MNIQ+F7Bu446pCUiSJGkGcYy96saewaGSvfVF+QR79g7tf+5EW0mSNFuY2KtudLQ2758wW0ouoKMlmzzrRFtJkjSbOBRHdWP1is6yeuxXr+hyoq0kSZp1TOxVN1YtXsCyrrklx9lHwLKuuZy2eL4TbSVJ0qxjYq+60ZQL1nSvZGnnXID9CX5xe2JnNrymKRdOtJUkSbOOY+xVV+a1NnPNhady87Ze1m3cwZ69Q3S0NLN6RRenLZ6/f0LsZCbaSpIk1TMTe9Wdplxw+pIFnL5kQck2lU60lSRJqncOxVFDqmSirSRJUiMwsVdDqmSirSRJUiMwsVdDqmSirSRJUiOIlKzjfbAioq+tra2tr69vukPRKMP5NOFEW0mSpHrQ3t5Of39/f0qpfazjJvZVYGIvSZKkWpsosXcojiRJktQATOwlSZKkBmBiL0mSJDUAE3tJkiSpAZjYS5IkSQ3AxF6SJElqACb2kiRJUgMwsZckSZIagIm9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcDEXpIkSWoAJvaSJElSAzCxlyRJkhqAib0kSZLUAEzsJUmSpAZgYi9JkiQ1ABN7SZIkqQGY2EuSJEkNwMRekiRJagBVS+wj4vCIOKZa15MkSZJUvgkT+4hYFREbIuLBiLgnIj4YEYeN0fTlwD3VD1GSJEnSRMZN7CNiCXAdsBz4T+Aw4IPATyNiYe3DkyRJklSOiXrsLwL2AitSSn8APAn4U+DpwM0R8aQaxydJkiSpDBMl9qcA/5JSuhMgZf4FOAPoANY7rl6SJEmafhMl9guBX43emVL6CfCHwBOAH0bEcdUPTZIkSVK5Jkrs7wc6xzqQUvoP4EygDbgJOL66oUmSJEkq10SJ/SbgrFIHU0q/IOu5P5JsUq0kSZKkaTBRYv9t4LkRsbxUgxHJfV8V4xpXRDRHxN9HRE9EPBQRt0bEGWWc9/KIuKJQtvPBiLgrIv4hItqmIm5JkiSpViZK7L8CPA34n/EapZQ2Ar8PPL9KcU1kLfAe4GvAu4A88N2IeNYE532B7P18FXgnWSnPdwI/jog5NYtWkiRJqrFIKU13DBWJiJXAbcB7UkoXF/bNAe4AelJKp41z7vNSSj8cte+NwKVAd0pp7SRj6mtra2vr6+ubzOmSJEnShNrb2+nv7+9PKbWPdXzClWdnoHOAR4EvFXeklB4GvgycOt7CWaOT+oJ1he3TqhijJEmSNKUOme4AJmEFcFdKaXDU/g1AACcDOyu43tGF7e5SDSKib4JrOEZfkiRJ06oee+wXMnbiXtw3ZnnOcbwfGAauPpigJEmSpOlUjz32hwNDY+x/eMTxskTEa4E3Ax9LKd1dql2pcUwjrtOHvfaSJEmaRvXYY/8Q0DzG/jkjjk8oIp5LNi7/28DfVCc0SZIkaXqUndhHxGkRMX+c4/MiomRFmiraSTYcZ7Tivp6JLhARJwH/DmwGzk0pDVcvPEmSJGnqVdJjfxPZQlSlnFFoU2u3A0sionXU/lMK203jnRwRJwDfA3YBL0op7a16hJIkSdIUqySxjwmON5EtFFVrVwKHAm8p7oiIZqAb+HFKqaew75iIWDLyxIg4Gvh+Ic4XpJRKVsKRJEnSDJYfhm3XwZXnw6Uvybbbrsv2z1KVTp4dbzWrZzNOychqSSndFhHfAD5eqFl/N/Am4FjgvBFNvwKs4sAPJN8Djgc+Tlbz/tQRx+5OKf20lrFLkiSpCgZ74bJzYOftEDlI+Wx7x1Ww8GR43ZXQWnIEecMad+XZiHgX8K7C0+OAXmCsoStPAOYC/y+ldEGVYxwrrjnAR4DXF157M/CBlNL1I9r8EFiVUooR+8b7YHJpSum8ScbjyrOSJElTIT8MX3w+3Lc5S+hHixwcvRwuuBFyTVMfXw1NtPLsRD32fcCvC38+DtgD3D+qTQLuAG4FPjXZQCtRWGn2LwqPUm2eN8a+iYYTSZIkaSbbfn3WU19KymfHt98Ai8+aqqhmhHET+5TSpcClABFxD/C/U0r/PhWBSZIkSY+z+YrHht+UErmsnYn92FJKT6llIJIkSdKE9vaOn9RDdnxv79TEM4NMauXZiDgC6GCMSjkppd8cbFCSJEnSmFrml9dj3zL7Js9WskBVLiL+d0TsAB4A7gXuGeMhSZIk1cbyc8vrsV9+7tTEM4NU0mP/d8CfA1uBq8gm0kqSJElTZ9GZWUnLiariLDpjykObbpUk9q8HvpdSemGtgpEkSZLGlWvK6tRf9grYuenxx49elh1vsFKX5ahk5dknAN+sVSCSJElS2UqtTjTeqkUNrpLEfguwsFaBSJIkSRPKD2erzt6/Zezj92/JjueHpzauGaCSxP5DwB9HxJNrFYwkSZI0ruICVaUm0I5coGqWqWSM/TPIVqH9z4hYR1YBZ/RHoZRS+ki1gpMkSZIO4AJVJVWS2P/tiD+/vkSbBJjYS5IkqTZcoKqkShJ7V56VJEnS9HKBqpLKTuxTSr+uZSCSJEnShJafC3dcNX6bWbpAVSWTZ/eLiEUR8ZyIaKt2QJIkSVJJxQWqokQaG7ns+CxcoKqixD4iXhwRdwP/BdxMNqGWiFgQEdsj4pwaxChJkiRligtUHb08e15M8Ivbo5fP2gWqyh6KExHPA9YBtwOXMmIybUppVyHhfzVwZTUDlCRJkg7QOh8uuDErabn5imyibMv8bPjNojNmZVIPlU2evQjYBJxCtgrt3446/lPgjdUJS5IkSRpHrikrZznLSlqOp5KhOM8ELkup5BTk/wGOPviQJEmSJFWqksQ+BwyNc3we8MjBhSNJkiRpMipJ7O8EnjvO8ReTDdWRJEmSNMUqSey/DJwTEW8ecV6KiCMi4tPAs4AvVDtASZIkSROrZIGqz0bEc4AvAp8EEnA50AE0AWtSSpfVJEpJkiRJ46qkKg4ppddHxFXA64ElQAC3AV9JKU2wBJgkSZKkWqkosQdIKa0jq2cvSZIkaYaoaOVZSZIkSTNTRT32EdECvBb4PbKx9TGqSUopvblKsUmSJEkqU9mJfUSsBL5FVq++lASY2EuSJElTrJKhOP8IHAa8CpiXUsqN8WiqTZiSJEmSxlPJUJxnAP83pXRlrYKRJEmSNDmV9NgPAHtqFYgkSZKkyasksb8aeEGtApEkSZI0eZUk9u8HFkTEZyLihIgYXRFHkiRJ0jSpZIx9H1nVm5XA2wHGyO1TSqniRa8kSZIkHZxKkvCvkCX2kiRJkmaYshP7lNJ5NYxDkiRJ0kGoZIy9JEmSpBmq4vHwEXE6sBo4vrDrV8C6lNJN1QxMkiRJUvnKTuwjIgdcCrwWCCBfOJQDLoyIy4A3pZQchy9JkiRNsUqG4vwZ8DrgSuBk4PDC42Tg64Vj761ueJIkSZLKEeV2sEfEVuC/U0r/q8Tx7wFPTiktrWJ8dSEi+tra2tr6+vqmOxRJkiQ1qPb2dvr7+/tTSu1jHa+kx/544Npxjl/LY+PuJUmSJE2hShL7vcBR4xw/utBGkiRJ0hSrJLH/EfCnEfG4oTYR8XTgQuDmagUmSZIkqXyVlLu8CLgV2BgR3wT+s7B/KfAS4BHgg9UNT5IkSVI5Kll5dktErAL+CXhF4VH0E+BdKaUtVY5PNTCcT6zftot1G3vYMzhER2szq1d0smrxAppyMd3hSZIkaRLKropzwEkR84GnFJ7ek1LqrWpUdaaequLsHhyie80GtuwYIBeQT+zfLuuay5rulcxrbZ7uMCVJkjRKNavi7JdS6k0pbSg8ZnVSX0+G84nuNRvY2jMAZMn8yO3WngG612xgOO8aY5IkSfWmkjH2AETESmA1j5W2/BVwTUrptmoGpupbv20XW3YMlDyeT7BlxwA3b+vl9CULpjAySZIkHayyE/uIaAK+AJwHjB6I/b6I+ArwlpTScPXCUzWt29izf9hNKbmAdRt3mNhLkiTVmUqG4vw10A18E3g20F54PAf4d+CNhTaaofYMDo2b1EOW9O/ZOzQ1AUmSJKlqKknszwd+kFJ6eUrp1pTSQOHx05TSauDGQhvNUB2tzUxU9CYX0NHi5FlJkqR6U0liv4CsZ76UawptNEOtXtFZVo/96hVdUxOQJEmSqqaSxH4bcPQ4xxcW2miGWrV4Acu65pbstY/ISl6etnj+1AYmSZKkg1ZJYv8x4MKIOGn0gYhYAbwd+L/VCkzV15QL1nSvZGnnXID9CX5xe2JnVsfeRaokSZLqTyXlLhcD9wA/j4jvA3cV9j8N+ENgE/DUiLhoxDkppfSRqkSqqpjX2sw1F57Kzdt6WbdxB3v2DtHR0szqFV2ctni+Sb0kSVKdKnvl2YjIT+L6KaXUNInz6ko9rTwrSZKk+jTRyrOV9Ng/pTohSZIkSaq2shP7lNKvaxmIJEmSpMmrZPKsJEmSpBmqkqE4RMSxwFuB3wM6gNEzLVNK6YwqxSZJkiSpTGUn9hHxUuAbwKHAAPC7WgUlSZIkqTKV9Nj/PfDfwOqU0pYaxSNJkiRpEioZY38c8GmTekmSJGnmqSSxvwdorlUgkiRJkiavksT+YuAtEdFSo1gkSZIkTVIldey/EBFzga0RcSlwLzA8RruvVC+8sUVEM/Bh4A3AE4BNwF+llG6Y4LyVwHnAKcAy4NCU0ujKPpIkSVLdqaQqzlHAy4FjgL8p0SwBNU/sgbXAK8i+RdhOlqx/NyJWpZR+Os55LwQuADYDdwNLahqlJEmSpk9+GLZfD5uvgL290DIflp8Li86EXNN0R1d1kVIqr2HEOuDFwKeBH1Gi3GVKaX3Vohs7jpXAbcB7UkoXF/bNAe4AelJKp41z7lHAQErpoYi4GHhXNXrsI6Kvra2tra+v72AvVXXD+cT6bbtYt7GHPYNDdLQ2s3pFJ6sWL6Ap55cVkiSpQQ32wmXnwM7bIXKQ8o9tF54Mr7sSWudPd5QVaW9vp7+/vz+l1D7W8UrKXZ4B/FNK6c+rEtnknQM8CnypuCOl9HBEfBn4aEQsTCntHOvElNL9UxTjjLB7cIjuNRvYsmOAXEA+QS7g2k09LOuay5rulcxrdT60JElqMPnhLKm/b3P2POUP3N63OTt+wY0N1XNfyeTZIbJhL9NtBXBXSmlw1P4NZCvhnjzlEc1Aw/lE95oNbO0ZALKkfuR2a88A3Ws2MJwv7xsbSZKkurH9+qynvpjIj5by2fHt407PrDuVJPbfBv6wVoFUYCEwVo98cV9ntV8wIvrGewBt1X7Ng7V+2y627BigVN6eT7BlxwA3b+ud2sAkSZJqbfMV2bCb8UQua9dAKkns3ws8OSI+HREnRMR0DdA+nOzbg9EeHnF81lu3sYeJhtDnAtZt3DE1AUmSJE2Vvb2le+uLUj5r10AqGWO/m6zqzTOACwHGyO1TSqmSa07GQ4y9UNacEcerqtQEhaKZ2Gu/Z3CoZG99UT7Bnr1jfUaSJEmqYy3zH5soW0rksnYNpJIk/Ctkif1020k2HGe04r6eKYxlxupobd4/YbaUXEBHi5NnJUlSg1l+Ltxx1fhtUj5r10AqWaDqvBrGUYnbgXdFROuoCbSnFLabpj6kmWf1ik6u3TT+Z5x8gtUruqYoIkmSpCmy6MyspOV9m8futY8cHL0cFp0x5aHVUiVj7GeKK4FDgbcUdxRWou0GfpxS6insOyYiGnoBquF84sa77ucdl2/ktV+8lXdcvpEb77qf4Xxi1eIFnNg5l1LD7CNgWddcTlvcWF9BSZIkkWvK6tQfvTx7XpxIW9wevTw73kClLqGyoTgARMTpwGrg+MKuXwHrUko3VTOwUlJKt0XEN4CPR8RCshVk3wQcS7YCbdFXgFXwWG4bEccCbyg8XVnY99eF55tSStfWNvrqmahG/SdfdTLD+XzJsVNLjjqSNd0rXaRKkiQ1ptb5WZ367TeMsfLsGQ2X1ENlK8/mgEuB15Ily8XvNXJkY+8vA96Uyr3gQSisNPsR4PXAE4DNwAdSStePaPNDYNXIlWUj4nlAqQ8gl052uNFUrzw7nE+cfckt3LFjoGTifvihOYb25UuOsZ87p4mlne3MO9KVaCVJkurBRCvPVpLY/wXw98A3gI8CdxYOPQ34S+BVwPtSSp882KDrzVQn9jfedT/nr/15Va5V7O13JVpJkqSZbaLEvpIx9ucB308pnZtS2pxSerTw2JxSeg3wA+D8gw9ZE7n6F9WrPe9KtJIkSY2hksT+eGC8MejX8ti4e9XQ9l2DEzeqkCvRSpIk1bdKEvu9wFHjHD+60EY1NvDwvppc15VoJUmS6lclVXF+BPxpRFyRUto68kBEPJ1sNdofVjE2ldB2+CH09FX/uq5EK0mSGk5+GLZfP0ZlnDMbrjJOJYn9RcCtwMaI+Cbwn4X9S4GXAI8AH6xueBrLCfNbuXPnA1W/rivRSpKkhjLYC5edAztvz2rYp3y2veOqbAGr112ZlcVsEGUPxUkpbSGrC/8z4BXA3xQeLy/se16hjWrs5b9f3mqxx3YcDmQJezlciVaSJDWM/HCW1N+3OXteXIG2uL1vc3Y8Pzw98dVARQtUpZR+DjwnIuYDTynsviel5IzLKbRq8QKWdc1la8/AmHXqI+DEzrlc9SfP4cfbd7Nu4w52Dz7M1p4HGHjo0TFr3xfPcSVaSZLUELZfn/XUl5Ly2fHtN8Dis6YqqpqqeOVZgEIibzI/TZpywZrulWOuPJtPWYK+pnslhx2S4/QlCzh9yQKg9Gq1I89xkSpJktQQNl/x2PCbUiKXtZttiX1EnAu8KKX0xhLHLwWuTSldWa3gVNq81mauufBUbt7Wy7qNO9izd4iOlmZWr+jitMXzx0zQJ3OOJElSXdrbO35SD9nxvY3TV11Jj/2fAnePc3wYeAdgYj9FmnJxQI98rc6RJEmqOy3zy+uxb2mcYciV1LF/GrBxnOMbgacfXDiSJElSFSw/t7we+8X/a2rimQKVJPYtZL3ypSTgyIMLR5IkSaqCRWfCwpMmbnfLpxqmMk4lif09wKnjHD8V+M3BhSNJkiRVQa4JTnn7xO12bYVf/qD28UyBShL7dcArI+LNow9ExPnAK4GrqxWYJEmSdFA2Xlpeu598urZxTJFKJs/+HfAy4AsR8R7g9sL+k8jG1v8X8H+rGp0kSZI0Wbt/Wd12M1wlK88+ADwH+DywEHht4dEJfBZ4dkppoBZBSpIkSRpfpSvP9gNvj4gLgXmF3btTSmMtZipJkiRNn3m/V16d+nm/V/tYpsBkV55NuPJsQxrOJ9Zv28W6jT3sGRyio7WZ1Ss6WbV4gQtYSZKk+vKsd8Kvf1JGu3fUPpYpMKnEXo1p9+AQ3Ws2sGXHALmAfIJcwLWbeljWNZc13SuZ19o83WFKkiSVZ/FZsGBpVvmmlAVLs3YNoJKqOGpgw/lE95oNbO3JpknkC4OritutPQN0r9nAcN5RV5IkqU7kmuCN34SjS9SzP/qk7HiuaWrjqhF77AXA+m272LKj9NznfIItOwa4eVsvpy9ZMIWRSZIkHYTW+fDWm2D7DbD5imzMfcv8bGXaRWc0TFIPJvYqWLexZ//wm1JyAes27jCxlyRJ9SXXlA23aZAhN6WY2DeIg530umdwaNykHrKkf8/eoSpFLEmSpGqqSmIfEYcCq4HulNIfVeOaKl81Jr12tDaX1WPf0eLkWUmSpJnooCbPRsTyiPgnoAf4N+APqxKVylatSa+rV3SW1WO/ekXXwYYsSZKkGqg4sY+Itoj4k4j4ObAReDuwBXgHcEyV49MEipNeSyXlIye9jmfV4gUs65pLqVE7EbCsay6nLZ5/kBFLkiSpFspO7CPi+RHxNbLe+UuAuYVDb0gpPT+ldElKqacWQaq04qTX8RQnvY6nKRes6V7J0s65+88ZuT2xMxvS4yJVkiSpbuWHYdt1cOX5cOlLsu2267L9DWDcMfYR8SSgGzgPOI5stdnPA2uBB4FtwCO1DFDjq+ak13mtzVxz4ancvK2XdRt3sGfvEB0tzaxe0cVpi+eb1EuSpPo12AuXnQM7b4fIQcpn2zuugoUnw+uuzEpj1rGJJs/eA+wDvgO8G/hOSmkYICJOqG1oKke1J7025YLTlyywpKUkSWoc+eEsqb9vc/Y85Q/c3rc5O37BjXVd136ixL4J2AH8AthUTOo1c6xe0cm1m8YfAVWc9HqwJTElSZLq0vbrs576UlI+O779hrqudT9RYv9C4M3ARcCHImI92TCcq2ocl8pUnPS6tWfsCbQR2fj4p3fO5exLbjmokpiSJEl1afMVjw2/KSVyWbs6TuzHnTybUvpeSumVQBfwPmABcClwH/ApIBUemiblTHr90pueyVsu/dlBl8SUJEmqS3t7x0/qITu+d/wqgjNdWQtUpZR2A/8I/GNEnELWi38uEMCnI+I04OqU0o9qFqlKmmjSa7EkZikjS2I6tl6SJDWclvnl9di3NPbk2cdJKd0G3BYR7wZeRVY1513AOyNiV0ppYXVDVDnGm/RaLIk50QTbdRt3mNhLkqTGs/zcrPrNeFI+a1fHJr3ybErpwZTS2pTSKuCpwD8AE3zHoelQbknM9dt28Y7LN3LjXfc7LEeSJDWORWfCgqXjt1mwFBadMTXx1MikE/uRUkq/TCn9b+DJ1bieqqtYEnMi/Q/t49ubezh/7c85+5Jb2D04ce17SZKkuhATJEMTHa8D4yb2EfGEiLg1Iv7PBO0+GhE/BlqrGp2qYvWKzgl77IucUCtJkhrO9uvh/jvGb3P/HVm5yzo2UY/924BlwGcmaPcZ4CTgrdUIStVVLIlZyQfRkRNqJUmS6lqx3OV4iuUu69hEif1LgHUppfvHa5RSug+4GnhZtQJT9TTlgi+96ZnMOaSykVfFCbWSJEl1bZaUu5wo03s6cGuZ19oATDArQdNla08/Dz1a2dzmfIKf3L3bybSSJKm+FctdjmcWlLs8Ahgs81qDQMvBhaPJGs4n1m/bxbqNPewZHKKjtZnVKzpZtXgBTbkoq+TlWHYPPsL5a3/u6rSSJKl+zZJylxMl9nuAY8u81rGF9ppiuweH6F6zgS07BvYn77mAazf17E/Iyyl5OZ7iZNprLjyVpnJK7EiSJM0Ui86EhSfBzs3AGAlR5ODo5Q1f7vLnwDllXusVhfaaQsP5RPeaDWztyVaWLSbvo6vbPLHlsLJKXpbiZFpJklS3HvwtDO9jzKQeYMHT4XVXQq5pSsOqtokS+7XA0oj4u/EaRcTHyMbXr6lSXCrT+m272LJjoGRvfDEhX7Sg5aB67MHJtJIkqQ7lh+Gyc6D3ztJtIgdHPHHqYqqRcRP7lNLVwLeBv4iIWyLiTRFxckQcHxEnRcR5EfEj4H3At1JK66YiaD2mOHZ+PLmAu3ftZVnX3IPutd+z10WrJElSHdl+Pey8ffyqOPdthjuunrKQaqWc+oevAi4Dng38P+A/gF8CvwC+DDwH+Brw6hrFqHGUM3Y+n+C3Dz7Cmu6VLO2cC8Bk8vsI6Ghx8qwkSaoj5dSwB/jOn2e9+3VsosmzpJQeAt4YEZ8gG0e/FJgLDAB3AFenlDbXNEqV1NHaPGG1mwCeeMRhzGtt5poLT+Xmbb1c/Yv/4Ya7dvHgI+X/AKcEq1d0HXzQkiRJU6WcGvYAD/fBtu/Dkj+qeUi1MmFiX1RI3k3gZ5jVKzq5dlPPuG0SsHlHP7sHh5jX2szpSxaQSFy7eWdFr9XS3MRpi+u7vqskSZplKqlNf80fw5/+HFrrM9+Z8HuJiHhiRPxZRHw2Ij4cEU+bisBUnlWLF7Csa+6EQ2v++7cP0r1mw/6FpsoZmz/aqSfMs9SlJEmqLye+svy2D/dlE23rdEjOuIl9RDyJrJf+48DbgL8Gbo+IF0xBbCpDUy5Y072SYzoOH7fd6HKVk6lr/+qVx0w2TEmSpPqw83bYfsN0RzEpE/XYfxBYCFwCvAT4M+BB4NM1jksVmNfazLKudqKM6jjFcpXFsfnliIBlXXMdhiNJkurPHd+gsrIhkU24rUMTJfZnAl9PKb0zpfTtlNKngPcCiyLi+NqHp3L9du8jpDKq4xTLVa5e0Vl2j/2JndnqtQ7DkSRJdWdvLyUXphpTKpxTfyaaPNsJ/HDUvpvIPvZ0Ar+qQUyahHKq4+RGlKtctXgBJ3YeydaeB0r+qLcdfij/+MqTeN6SBSb1kiSpPrXMz8pdllMZZ+Q5dWiiHvtDgQdG7Ss+P6z64WiyyumBz48oV/m7Bx9hOF/68+vTjm7lhj9bxRlPP8qkXpIk1a/l51aW1BfPqUPlLFBVKvercOqlaqlYHadUDj5ynPxwPtG9ZgP/df/oz2yFtkBTLscTjvCzmyRJqnOLzoQ57eW3n9MOi86oVTQ1VU4d+7+LiL8c8byJLKn/UkTsHdU2pZROqlp0GtNwPrF+2y7Wbexhz+AQHa3NrF7RyZfe9EzecunP2LJjYP+wnOJ25Dj5G++6ny07BkpePwF39GQVdE5fsmDq3pgkSVK15ZpgwRL4za3ltX/hJ7Jz6tBEif1vyPK8I8fYnxtjv2ps9+AQ3Ws2PC55v3ZTD8u65vKlNz2T/+wZYN3GHezZO0RHSzOrV3Rx2uL5+4fUFGvYTzQef93GHSb2kiSp/s3tIhuTMMGAkzntcOLLpyCg2hg3sU8pHTdFcagMxSE0W3uy3vZiYl7cbu0Z4C2X/oxrLjx13IS8nBr2+QTrt/Xyjss3snpFJ6sWO4FWkiTVqeXnwh1XTdyujnvrobwx9mWLCHvwa2j9tl1s2TFQMikfvQhVKU9sKW/sfP9Dj/LtzT2cv/bnnH3JLeweHKo0ZEmSpOm36ExYeHJWHWdMAQtPquveeqggsY+If5rg+JHAdQcdkUoqDqEZz8hFqEo5YX5L2a858tuA7jUbGK50uVpJkqTplmuC110JRy/Pnu9P8AuJ1WEt0PYk2H495IenJcRqqKTH/h0R8RdjHYiII4DvAidXIyiNrdwhNMVFqEq5u3f0nOeJlfttgCRJ0ozUOh8uuBFe+w146ovgsFayMfcBjwzCf30X/vVV8MXnw2B95juVJPZ/Q1Yh53Ujd0bE4cB3gD8AXlHF2DRKcRGq8YxchGq04Xzixrvu59Zf7ZnU65fzbYAkSdKMlWvKSln2/zc8+mBhZ6HXtFjr/r7NcNk5ddlzX3Zin1L6KPAF4MsRcSZARMwBrgWeBbwypfTdmkQpoPJFqEbaPTjE2Zfcwvlrf87uwUcm9frlfBsgSZI0o22/HnbeXnrRqpTPjm+/YSqjqopKJ89eSDbk5qqIeDZwDXAa8NqU0rVVjk2jVLII1Uijq+lM1njfBkiSJNWFzVeMM4m2IHJZuzpTzgJV+6WU8hHxGuB64GYgD7w+pVRG/SAdrKZcsKZ75Zh17EcvQgWPLWT1ufW/GndBqnLlExw//wjecfnGAxbGshSmJEmqG3t7S/fWF6V81q7OlEzsI+K0cc77JLAW+DfgvpFtU0o3Vy26EiKiGfgw8AbgCcAm4K9SShN+ZxIRXcCngLPIvrG4EXhPSume2kVcPfNam7nmwlO5eVvvuItQjVzIqhoiYM4hOS6+fvuYC2Ot6V7JvFZ78yVJ0gzXMj/rkR83uQ84Yt6UhVQtkdLYg7YjIs/4y3MVu2jTiOcppVTzqv4RcTnZRN2Lge3AeWSTd1ellH46znmtwC/IVsz9R2Af8B6y93BySul3k4ynr62tra2vr28yp1fdcD5x9iW3sLWndM37iYz+NuDwQ3M8/Gh+zB+IXMDSzrlcc+Gp9txLkqSZbdt1WfWbiTzxeDj/+1k1nRmivb2d/v7+/pRS+1jHxxuK012bkA5ORKwEXk3Wy35xYd9XgDuAvycb81/K24FFwDNSShsL5363cO57gItqF/nUKS5kNVlz5xzCkXMOZe7hh7BofisnLGjh4uu3l2w/shTmeCveSpIkTbtFZ8KCpbBr6/jtfndvVh3nghvrZjXakol9SunSqQykAucAjwJfKu5IKT0cEV8GPhoRC1NKO8c599ZiUl84966IuAF4FQ2S2BcXsppsb/3Aw/sYHNrHjj44JBcM7ctPeL1iKUwTe0mSNONFGSMMRlbHWXxWzUOqhkqr4swEK4C7UkqDo/ZvIBsOdPJYJ0VEDlgO/HyMwxuAxYWFtupeOQtZTWTkirM/3r67KgtjSZIkTbvt18P9d5TXts6q41RUFWeGWAiMtUpSsZe+s8R5TwSaR7QbfW4Urn336IMR0TdBTG0THJ9SxYWsDja5h+waex8ZziZQjNPOUpiSJKkuFMtdTlQZB+quOk499tgfDozVNfzwiOOlzmOS59aVchayqkTE+Ek9lF4YS5IkaUYpp9xlUeSyKjp1oh577B8i63kfbc6I46XOYzLnlpp5XFTo0Z8xvfbFhawmqoozUS98UUrQ0tzEQ48Mj3m9iKyG/uiFsSRJkmacsspdFqQ8LD+39jFVST322O8kGzIzWnFfT4nzfkvWW1/q3MTYw3TqTnEhq6WdcwH2r1Rb3J7YOZd/OvdkXnJSJ/NaDyvrms887onjXm/kwliSJEkz1vJzy+yxD1h4Miw6o9YRVU099tjfDrwrIlpHTaA9pbDdNNZJhVVzt5DVux/tFOCXKaUHqxrpNCpnIauXrejixrvu5/y1Y80nPtA9u/fyg/es4sfbd4+7MJYkSdKMtujMLGG/b/P4Cf7C5fC6K+um1CWMs0DVTBURpwC3cmAd+2ayWvT3p5ROLew7BjgipXTXiHPfD3yMA+vYPxXYCvxdSumvJxnTjFqgqhLD+cTzP3kTv95TagTTY9ac90zLWUqSpPo32JvVqN95O48bnDynHV74CTjx5TMuqT+YBapmpJTSbRHxDeDjEVGsYvMm4FiyFWiLvgKs4rEVcgH+BbgA+E5EfJJs5dn3kg3B+VTto595mnLBU4+aO2Fib516SZLUMFrnZwtPbb8hq5Kztzcbe7/83GzozQxL6MtVd4l9wRuBjxS2TwA2Ay9MKf14vJNSSg9ExPPIkvi/IZtjcBPw7pTSnloGPJMNDu2bsI116iVJUkPJNWULT9XJ4lPlqMvEPqX0MPAXhUepNs8rsf9/gFfWJrL6VG7d+33DieF8cjy9JEnSDFSXib0mbzifWL9tF+s29rBncIiO1maOn3dEWXXvb7vnt5x9yS2s6V7JvFYXo5IkSZpJTOxnkd2DQ3Sv2cCWHQP7e+iL28MPzfHwvjwTzaW+o2eA7jUbuObCU+25lyRJmkHqsY69JmE4n+hes4GtPQPAY8NuituHH83TfMjEPw4pwZYdA9y8rX6WV5YkSZoNTOxnifXbdrFlR+mVaBNZcl+OKFTIkSRJ0sxhYj9LrNvYQ7VGzqQEP7l7NzfedT/D5QzOlyRJUs2Z2M8SewaHypogW67dg49w/tqfc/Ylt7B70DKYkiRJ083EfpYolrSstq2FybT23EuSJE0vE/tZYvWKzqr22BflnUwrSZI0I5jYzxKrFi9gWdfckr32EXBi55EsXXhkxdfOOZlWkiRp2pnYzxJNuWBN90qWds4F2J/gF7cnds5l7fmncMFpJ1R87XyCPXsdZy9JkjSdXKBqFpnX2sw1F57Kzdt6WbdxB3v2DtHR0szqFV2ctng+Tbnghrt27V+0qly5gI4WV6KVJEl1JD8M26+HzVfA3l5omQ/Lz4VFZ0KuabqjmxQT+1mmKRecvmQBpy9ZMObxyVTPySdYvaKrCtFJkiRNgcFeuOwc2Hk7RA5SPtvecRUsPBledyW0zp/uKCvmUBwdoNLqORGwrGsupy2uvx9+SZI0C+WHs6T+vs3Z85Q/cHvf5ux4fnh64jsIJvY6QLnVc2LE2Pw13StpqkUtTUmSpGrbfn3WU19M5EdL+ez49humMqqqcCiODrBq8QJO7JzL1p4BSuX3Lc1NPP+pC3j57z9p/9h8SZKkurD5iseG35QSuazd4rOmLq4qMLHXAX734CMM5/Mlk/olRx/J195yCvNanSwrSZLq0N7e8ZN6yI7vrb81ekzsG9xwPrF+2y7Wbexhz+AQHa3NrF7RyarFCx7X0z6cT3Sv2cBd9w+WvN69uwddZVaSJNWvlvnl9di31N/8QRP7BrZ7cIjuNRvYsmNgfwnLXMC1m3pY1pWNjR/Z875+2y627BgY95oP70u86vM/4cY/O90hOJIkqf4sPzerfjOelM/a1RknzzaoYu/71p4sUS92she3W3sG6F6z4YDe93Ube/ZPih3Pr/c8xM3b6u/rKUmSJBadmZW0jBJpcOSy44vOmMqoqsLEvkEVe99LjZrJJ9iyY+CABH3P4BCpzFE2//az31QhSkmSpCmWa8rq1B+9PHteTPCL26OXZ8frcJEqh+I0qHUbeyZcQTYXsG7jjv2LVXVUMCH2R7/sZTifHI4jSZLqT+t8uODGrKTlyJVnl70SUoLvvb8uV6M1sW9Q5awgm0+wZ+/Q/uerV3Ry7aaesq7/4CN5fnjXLs54+lEHE6YkSdL0yDVl5SyLJS0bYDVah+I0oOF8Yl8ZlWtyAR0tj/XSr1q8gGM7jij7db7wo19NKj5JkqQZpUFWozWxbzC7B4c4+5Jb2HDPbydsm0+wekXX/udNueDrb3tW2a+1fdcDk4pRkiRpRmmQ1WhN7BvI6Eo444mAZV1zOW3xgV8pHTV3Dk884tCyXq/voX3sHhyauKEkSdJMVlyNdjzF1WhnMBP7BjJRJZyRTuzM6tiPNfl10VFHlvV6xQ8SLlglSZLqWoOsRmti30CKlXAmcspTnsg1F556wOJUI731uceX/ZqjS2ZKkiTVneJqtOOpg9VoTewbSDmVcAAOaYpxy1SevmQBTzu6vF77YslMSZKkurX83PJ67Gf4arQm9g2ko7V5wh770ZVwxtKUC9aev5I5h0z84zG6ZKYkSVLdaZDVaE3sG8jqFZ1l1a4fWQlnLLsHh3jLpT/j4X0TfHItuHf3g9x41/2OtZckSfWpQVajjZRMxg5WRPS1tbW19fX1TWscw/nE2ZfcwtaesSfQRmSTZq+58FSacsFwPrF+2y7Wbexhz+AQHa3NvOykTi6+/r/4z50PlDWsByCARFZlZ033ypJj9yVJkma0/PDjV6Ndfm7WUz8Dkvr29nb6+/v7U0rtYx03sa+CmZLYQ9bb3r1mA1t2DJCLrIe+uB2ZeI/XbrJyAUtHfHCQJElS9UyU2B8yxfGoxua1NnPNhady87Ze1m3cwZ69Q3S0NLN6RRenLZ6/v6d+ZL37YjJ/sCNp8umxKjmnL1lwkO9EkiRJlTCxb0BNueD0JQtKJtfFeve1UKySY2IvSZI0tZw8OwuVW+9+MqySI0mSND1M7GehcuvdT0Y55TQlSZJUfSb2s1A59e4nq5xympIkSao+E/tZqJx690XFDwDF7eGH5hjvM0Hb4YcwnE/WtJckSZpiTp6dhVYtXsCyrrnj1rtfunAu7zlzMd/c1HNAZZ2nd87lLZf+jC07BvbXrx+p/6F9vOUrP+fEziNZe/4p1rSXJEmaItaxr4KZVMe+XOXWux/LcD7xw7t28e6v384DD+8r+RpPO7qVb73zNGvaS5IkVYF17DWmcurdl9KUCxJp3KQe4M77BvnhXbs44+lHVTt8SZIkjWJiP4uNV+9+OJ9Yv20X6zb2sGdwiI7WZlav6GTV4gU05YIv/Oiesl7jCz/6lYm9JEnSFDCx1+OUGqZz7aae/cN0ftU7WNa17i6znSRJkg6OVXF0gOF8onvNBrb2ZCvTFifXFrdbewboXrPhcZNmJUmSNL1M7HWA9dt2sWXH2NVyIEvwt+wYoKPlsLKu9+Ajw+wedCVaSZKkWjOx1wHWbeyZcPGqXED74YeWdb0HHxmme80G69pLkiTVmIm9DrBncGjCxavyCQ5pCp529JFlXXPLjgFu3tZbhegkSZJUiom9DtDR2lxWj/281jl89S2n0Hb4xPOvcwHrNu6oUoSSJEkai4m9DrB6RWdZPfarV3Qxr7WZpy+cO+E18wn27HWcvSRJUi2Z2OsAqxYvYFnX3JK99hHZyrSnLZ4PwLwj55TVw9/RMvYqtpIkSaoOE/tZYDifuPGu+3nH5Rt57Rdv5R2Xb+TGu+4fc0JrUy5Y072SpZ1ZT3wxaS9uT+zM6tgXV6atpIdfkiRJteMCVQ2unMWm5rUe2Js+r7WZay48lZu39bJu4w727B2io6WZ1Su6OG3x/P1JPTzWw7+1Z+wSmRHZh4FiD78kSdKMlx+G7dfD5itgby+0zIfl58KiMyHXNN3RlRQpWYbwYEVEX1tbW1tfX990h3KA4Xzi7EtuKZl05wKWds7lmgtPPSBZr1SpDw/5RMkPD5IkSTPSYC9cdg7svB0iByn/2HbhyfC6K6F1ejos29vb6e/v708ptY913MS+CmZqYn/jXfdz/tqfT9huzXnP5PQlCw7qtYbzqawefkmSpBkrPwxffD7s3ASMlSMHLDwJLrhxWnruJ0rsHYrTwIqLTY03Br5YivJgE/umXHD6kgUHfR1JkqRps/36rKe+pJQd334DLD5rioIqn5NnG1i5i01ZilKSJAnY9G/VbTfFTOwbWLmLTVmKUpIkCdj9X9VtN8VM7BuYpSglSZIq8HB/ee0e/G1t45gkE/sGVuliU5IkSbPanPby2j30u2yi7QxjYt/AKl1sSpIkaVabt7i8dvseyibQzjBWxWlwlSw2JUmSNKud9GrYenUZDSNbvGqGVcYxsZ8FLEUpSZJUhkVnwmGt8MjgBA1TtiLtDONQHEmSJAmyRaeOf97E7SIHLTNvjqKJvSRJklT0+2+cuE3Kw/Jzax9LhRyKo7IM5xPrt+1i3cYe9gwO0dHazOoVnaxavMBx+pIkqXEsOhMWngz3bc4S+NEiB0cvh0VnTHloE4mUJih0PgNFRDvwcWA1cARwG/DelNLtZZx7FnAusBJ4OvDfKaXjDjKevra2tra+vr6DucyMtXtwiO41G9iyY4BcZLXvi9tlXVllnXmtLnIlSZIaxGAvXHYO7Lw9S+RT/rHtwpPhdVdC69QPxWlvb6e/v78/pdQ+1vG6S+wjIgf8CFgGfALYA7wd6AKekVK6e4Lz15Il9huBJwF5E/vShvOJsy+5ha09AyUXu2o7/BA++cqTOX2JvfeSJKlB5Iezkpabr8gmyrbMz4bfLDojG4s/DRoxsX8VcAWwOqV0TWHffGAbcG1KadyBURHRCfSmlB6NiGuAk03sS7vxrvs5f+3Py2pr770kSVLtTJTY1+Pk2XOAHuCbxR0ppV7g68DZEXHoeCenlHpSSo/WNsTGsW5jT8mVa0fb2jNA95oNDJfq2pckSVLN1GNivwL4j/T4rxo2AEcCi6Y+pMa1+4GhkkNwRssn2LJjgJu3zby6rpIkSY2uHhP7hcDOMfYX93VW+wUjom+8B9BW7decKYYrHKqVC1i3cUeNopEkSVIp01rusjAR9rBy2qaUHi788XBgaIwmI49rmuQT7Nk71u2RJEmqI/lh2H79GJNnz5y2ybMTme469qcBN5XTMCLmp5R2Aw8BY83OnFPYPlSl2PYrNUGhqJF77ZsqLHKTC+hocfKsJEmqY4O9cNkrYOemA/ffcRUsPAled9W0lLucyHQn9ncB3WW2faCw3Uk2HGe04r6egw1Kj5l35BwCKHdATj7B6hVdtQxJkiSpdvLD8NWz4f47xj6+c1N2/G03z7ie+2lN7FNK9wFrKzztduDZERGjJtCeAgwC26sTnQBWr+jk2k3lf1Y6tuMITls88z7BSpIklWXb90sn9UX33wG//AE89X9NTUxlqsfJs1eSTZB9WXFHRMwDXgl8c2Qpy4g4ISJOmPoQG8eqxQtY1jW37PZLjjrSRaokSVL9+umny2v3kzLbTaHpHoozGVcCtwJfiYhPALvJVp7NAX87qu0Nhe1xxR0RsRx4aeHpYqAtIv668PzmlNLNtQm7PjXlgjXdK1n18ZvY+8jwhO1/87sHGc4nk3tJklSfdv+yuu2mUN0l9iml4Yh4IfAPwDvJquBsAN6YUipnGM7vAx8Zta/4/EOAif0o81qbOX3JAr69eeeEY+3v3PkAZ19yC2u6V/KEIw5j/bZdrNvYw57BITpam1m9opNVixeY+EuSJFVZPH6dJ1UqIvra2tra+vr6pjuUmrnxrvs5f+3Py2obwJKjW2nK5bijZ4BcZJNqi9tlXXNZ072Sea1Wz5EkSTPMmj+CX/9k4nbHPge6v1P7eEZob2+nv7+/v1TFxnocY69pUBxrX05HewLuvG+QrT0DAPtXri1ut/YM0L1mA8PlLmkrSZI0VZ71zjLbvaO2cUyCib3KUhxrv7Sz/Im0pdL2fIItOwa4eVtvdYKTJEmqlkVnwCFzxm9zyJys3QxjYq+yzWtt5poLT+VJTzj4xX1zAes27qhCVJIkSVX0q5tg38Pjt9n3MPzqh1MSTiVM7FWRplxQjRE0+QR79g4d/IUkSZKqafMVEBOkyJHL2s0wdVcVR9NnOJ9Yv20Xgw8/OnHjCeQCOlqcPCtJkmaYvb2Q8uO3Sfms3QxjYq+y7B4convNBrbsGKjK9fIJVq/oqsq1JEmSqqZlftYjP15yH7ms3QzjUBxNaDif6F6zYX+Vm3KVKqATkZW8PG3xzPsHIUmSZrnl55bXY7/83KmJpwIm9prQ+m272LJjoOyx9RHwtKOPZGnnkQD7S2QWtyd2ZnXsXaRKkiTNOIvOhIUnlx5nH7ns+AysiuNQHE1o3cae/YtLlaOYuD/hiMO4eVsv6zbuYM/eITpamlm9oovTFs83qZckSTNTrgledyVcdg7svP2xYTnF7dHLs+O5pumO9HFM7DWhPYNDZSX181oP4x/OOemAxP30JQs4fcmCGkcoSZJURa3z4YIbYfsNWfWbvb3ZmPrl52Y99TMwqQcTe5Who7V5wh77XMCzT5hnEi9JkhpDrgkWn5U96oRj7DWh1Ss6J+yxt8qNJEnS9DKx14RWLV7Asq65lBoWb5UbSZKk6Wdirwk15YI13StZ2jkXsMqNJEmaRfLDsO06uPJ8uPQl2Xbbddn+GSZSKrPUiUqKiL62tra2vr6+6Q6lpobzySo3kiRp9hjsLV0dZ+HJWXWc1qkbsdDe3k5/f39/Sql9rOMm9lUwWxJ7SZKkWSM/DF98Pty3eewFqyKXlb684MYpq5IzUWLvUBxJkiRptO3XZz31pVahTfns+PYbpjKqcZnYS5IkSaNtvqL06rNFkcvazRDWsde4hvOJ9dt2sW5jD3sGh+hobWb1ik5WLV7wuHH1lbSVJEma0fb2lu6tL0r5rN0MYWKvknYPDtG9ZgNbdgzsX6AqF3Dtph6WdWWVcOa1NlfcVpIkacZrmf/YRNlSIpe1myEciqMxDecT3Ws2sLVnAHhs1dnidmvPAN1rNjCcTxW1lSRJqgvLzy2vx375uVMTTxlM7DWm9dt2sWXHQMkVZ/MJtuwY4OZtvRW1lSRJqguLzsxKWpYaZx+57PiiM6YyqnGZ2GtM6zb2lFxptigXsG7jjoraSpIk1YVcU1an/ujl2fNigl/cHr08Oz5FpS7L4Rh7jWnP4FDJHviifII9e4dIibLbSpIk1Y3W+Vmd+u03ZNVv9vZmY+qXn5v11M+gpB5M7FVCR2vz/kmwpeQCOlqaSYU/l9NWkiSpruSaYPFZ2WOGcyiOxrR6RWdZvfCrV3RV1FaSJEm1YWKvMa1avIBlXXNLjp2PgGVdczlt8fyK2kqSJKk2TOw1pqZcsKZ7JUs75wLsT9qL2xM7s9r0TbmoqK0kSZJqI1KytvjBioi+tra2tr6+vukOpeqG84mbt/WybuMO9uwdoqOlmdUrujht8fwxV54tt60kSZIq097eTn9/f39KqX2s4yb2VdDIib0kSZJmhokSe4fiSJIkSQ3AxF6SJElqACb2kiRJUgMwsZckSZIagCvP6qAN5xPrt+1i3cYe9gwO0dHazOoVnaxavMBqOJIkSVPExF4HZffgEN1rNrBlxwC5yFaYzQVcu6mHZV1Z/fp5rc3THaYkSVLDcyiOJm04n+hes4GtPQNAltSP3G7tGaB7zQaG85ZUlSRJqjUTe03a+m272LJjgFJ5ez7Blh0D3Lytd2oDkyRJmoVM7DVp6zb2MNEQ+lzAuo07piYgSZKkWczEXpO2Z3CoZG99UT7Bnr1DUxOQJEnSLGZir0nraG0uq8e+o8XJs5IkSbVmVRxN2uoVnVy7qWfcNvkEq1d0TVFEkiRJNZQfhu3Xw+YrYG8vtMyH5efCojMh1zTd0ZnYa/JWLV7Asq65bO0ZewJtBJzYOZfTFs+f+uAkSZKqabAXLjsHdt4OkYOUz7Z3XAULT4bXXQmt05vzOBRHk9aUC9Z0r2Rp51yA/cNyitsTO7M69i5SJUmS6lp+OEvq79ucPU/5A7f3bc6O54enJ74Ce+x1UOa1NnPNhady87Ze1m3cwZ69Q3S0NLN6RRenLZ5vUi9Jkurf9uuznvpSUj47vv0GWHzWVEX1OCb2OmhNueD0JQs4fcmC6Q5FkiSp+jZf8djwm1Iil7WbxsTeoTiSJEnSePb2jp/UQ3Z87/QuymliL0mSJI2nZX7WIz+eyGXtppGJvSRJkjSe5eeW12O//NypiacEE3tJkiRpPIvOzEpaluq1j1x2fNEZUxnV45jYS5IkSePJNWV16o9enj0vJvjF7dHLs+PTvEiVVXEkSZKkibTOhwtuzEpaPm7l2TOmPakHE3tJkiSpPLmmrJzlNJa0HI9DcSRJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcDEXpIkSWoAJvaSJElSAzCxlyRJkhqAib0kSZLUAEzsJUmSpAZgYi9JkiQ1ABN7SZIkqQGY2EuSJEkNwMRekiRJagB1mdhHRHtEfCEieiNib0TcGBEnl3FeLiK6I+LaiPjvwrl3RMQHIqJ5CkKXJEmSauKQ6Q6gUhGRA74NLAM+AewB3g78MCKekVK6e5zTjwD+H3Ar8DlgF/As4CPA84Ezaxh6wxrOJ9Zv28W6jT3sGRyio7WZ1Ss6WbV4AU25mO7wJEmSZoW6S+yBc4BnA6tTStcARMTXgW3AB4E3jnPuI8BzUko/GbHvixFxL/ChiHheSumHtQi6Ue0eHKJ7zQa27BggF5BPkAu4dlMPy7rmsqZ7JfNa/TJEkiSp1upxKM45QA/wzeKOlFIv8HXg7Ig4tNSJKaVHRiX1ResK26dVM9BGN5xPdK/ZwNaeASBL6kdut/YM0L1mA8PFHZIkSaqZekzsVwD/kVIanS1uAI4EFk3imkcXtrvHOhgRfeM9gLZJvGbdW79tF1t2DFAqb88n2LJjgJu39U5tYJIkSbNQPSb2C4GdY+wv7uucxDXfB/QD359sULPRuo09TDSEPhewbuOOqQlIkiRpFpvWMfaFibCHldM2pfRw4Y+HA0NjNBl5vJIYPkA2afZtKaX+Eq/dPsE1+piFvfZ7BodK9tYX5RPs2TvW7ZIkSVI1TXeP/WnAQ+U8ImJe4ZyHgLFmY84ZcbwsEXEu8H+Az6eUvjCZNzCbdbQ2l9Vj39Hi5FlJkqRam+6qOHcB3WW2faCw3Uk2HGe04r6eci4WEX8IfAW4FriwzBg0wuoVnVy7afy/7nyC1Su6pigiSZKk2WtaE/uU0n3A2gpPux14dkTEqAm0pwCDwPaJLhARp5BVwvkZ8OqU0nCFMQhYtXgBy7rmsrVn7Am0EXBi51xOWzx/6oOTJEmaZaZ7KM5kXEk2QfZlxR2FYTqvBL6ZUnp0xP4TIuKEkSdHxNPIFri6F3hJSqnsoTs6UFMuWNO9kqWdcwH2D8spbk/szOrYu0iVJElS7cXjq0bObBHRBNwCLCVbeXY32cqzTwaekVLaPqLtvQAppeMKz48EtgJdwAeA0eVaNqeUNk8ipr62tra2vr6+Sk9tCMP5xM3belm3cQd79g7R0dLM6hVdnLZ4vkm9JElSlbS3t9Pf399fqrBL3SX2ABHxBOAfgLPJquBsAP4spfSLUe3uhQMS++OAe8a59IdSSn87iXhmdWIvSZKk2mvIxH6mMbGXJElSrU2U2NfjGHtJkiRJo5jYS5IkSQ3AxF6SJElqACb2kiRJUgMwsZckSZIagIm9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcDEXpIkSWoAJvaSJElSAzCxlyRJkhqAib0kSZLUAEzsJUmSpAYQKaXpjqHuRUQeiLa2tukORZIkSQ2qv78fIKWUxuycN7GvgojYR/btx8B0x6L9ip+y+qc1Ck0l7/ns4v2efbzns4v3e2xzgXxK6ZCxDprYqyFFRB9ASql9eiPRVPGezy7e79nHez67eL8nxzH2kiRJUgMwsZckSZIagIm9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcA69pIkSVIDsMdekiRJagAm9pIkSVIDMLGXJEmSGoCJvSRJktQATOxVlyKiPSK+EBG9EbE3Im6MiJMrOP9pEfG9iBiMiN9GxKURMW9Um+MiIpV4/K+qvykREc0R8fcR0RMRD0XErRFxRpnndkXE1yOiLyIGIuKaiHhKibZvjog7I+LhiNgWERdW952oHFNxv8f5N/zH1X9HGs9k73dErIyIf4mI/4iIRyKiZNWPiMhFxPsi4p7Cv+/NEXFudd+JylXre+7v6cc7ZLoDkCoVETng28Ay4BPAHuDtwA8j4hkppbsnOP9JwM1AH/ABoBX4c2BZRJySUnp01ClfA64btW/Twb4PjWkt8ArgYmA7cB7w3YhYlVL6aamTIqIVuAk4EvgosA94D9nPxMkppd+NaPs24HPAN4B/BJ4L/HNEzEkpfbIG70mlraXG97vgOrJ/xyPdVoX4VZm1TOJ+Ay8ELgA2A3cDS8Zp+1HgfwNfAH4OvAz4t4gYTildeZDxq3Jrqf09B39PPyal5MNHXT2AVwEJOHvEvvnA74CvlHH+vwCDQNeIfWcWrnn+iH3HFfa9e7rf82x4ACtH/30Dc8h+Gdw8wbnvA/LAihH7lpAlfB8ese9wYDdwzajzvwYMAG3T/fcwWx5Tcb8L+xNw8XS/39n+OMj7fRRweOHPF2epy5jtuoBHRt5vIMg6cu4FctP99zCbHlN0z/09PerhUBzVo3OAHuCbxR0ppV7g68DZEXHoBOe/Avj3lNKOEedfD2wj+9DwOBHREhGHHWzgGtc5wKPAl4o7UkoPA18GTo2IhROce2tKaeOIc+8CbuDAe3o60EH24W6kS8h6f//oYN6AKjIV93u/iDg8IuZUI3BNyqTvd0rp/pTSQ2W8xsuAQxnx7ztl2d9ngWPJEk1Nnam45/v5ezpjYq96tAL4j8J/2CNtIEvOFpU6MSK6gAVkX9GOtqFw7dE+QtbD/3BE/DQiTptU1JrICuCulNLgqP0byHrdTh7rpMLQrOWUvqeLI+KIEa/BGG3/g0IPcOVha5Km4n4XvQXYCzxUGHO9+mAC16RM6n5P4jUGUkrbxniN4nFNnam450X+ni4wsVc9WgjsHGN/cV/nBOeObDv6/AUR0VR4nicbs/fnwEsL22OB6yPiuZUGrQlN9r4+EWge59zgsfu+EBhKKf12ZKOU0iNkczXG+9lRdU3F/Qb4CdlcmpcBFxbOvToiXjOJmDV5B/P/diWvcV+NX0Plm4p77u/pUZw8q2lV6H0r66uzwld4kI2THhqjycjjpRSPTXT+YErpN8ABs+oj4t+A/wT+DnhOGWGrfJO9r+Xe0+L2kRLXeXic11D1TcX9JqV0wL/TiLgUuAP4eET82xjf/Kk2Dub/7Zn0Gipfze+Hv6cfzx57TbfTgIfKeYwoR/kQWa/baHNGHC+leGxS56eUeoDLgf9vjK/7dXAme18ruaelXqPYtqIxnTooU3G/HyeltJesKtKTgKdOHKaq5GD+355Jr6HyTcv9mO2/p+2x13S7C+gus+0Dhe1ODvyqvai4r2ecaxS/Aix1/q6U0vAEcfw32YfiduDBCdqqfJO9r78l6xUqdW7isfu+EzgsIp44cjhOYcJVxzivoeqbivtdyn8Xtk+coJ2q52D+367kNcYaflHN11D5puKelzJrf0+b2GtapZTuI6tzW4nbgWdHRIz6Gv0Usskz28d5vR0R0Qv8wRiHVxauPZHjgWGy8pqqntuBd0VE66jJVqcUtmPWJE4p5SNiC2Pf01OAX6aUiv+x317Y/gHw/RHt/oDsl8DtaKrcTu3vdynHF7a9FcSrg3M7k7jfk3iNt0TE4lETaE8ZcVxT53Zqf89LmbW/px2Ko3p0Jdmkm5cVdxSG6bwS+GYascBURJwQESeMOv8q4KWFCjnFdmcAi8kWLSrumz/6hSNiEfAashq8fq1bXVeSlap7S3FHRDSTfaPz48LXq0TEMRExerGSK8m+dl0x4tynAs9nxD0FbiTr8X37qPP/hOxD4Xer81ZUhprf7xi1mnRhXwfZ/b8npfTL6r0dTeBg7ne5vklWXnH/v++ICOCPgd/gomRTreb33N/TjxfOG1K9KVStuQVYSrby7G6y/8ifDDwjpbR9RNt7AVJKx43Y92RgI1mC9xmylWf/guw//pWFCilExBqyT/03kH2leALZL4hDgeemlH5Rw7c5K0XE14GzgU+RrTb4JuCZwOkppR8X2vwQWJVSihHnHUl2T1uAT5ItVPReCiXVUkp7RrR9O1nd+m+Q9do/F3gj8P6U0sdr+w41Uq3vd0T8LVkHwLfI/n13AW8lK3l7dkrpW7V+j3rMQdzvY4E3FJ6+EHgW8DeF55tSSteOaPtxssooxZVnzwZeBJybUvp6jd6aSqj1Pff39Bime4UsHz4m8wCeQLboxW6y+tQ3Ab8/Rrt7gXvH2L+UrETWXrKv6r4KzB/V5jXAerKv6x8FdpEtgrV0ut9/oz7IJlX9A9l/0A+T1Ts+c1SbHzLGKoRkkyG/AfSTzcf4d+D4Eq9zAdn8jiGyoVvvnO73Phsftb7fwFnAD8hKID5C9mH+28Bzpvu9z8bHZO838DyyuRNjPdaOapsD/rLwf/8QsAV4zXS/99n6qPU99/f04x/22EuSJEkNwDH2kiRJUgMwsZckSZIagIm9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcDEXpLKFBHnRUSKiOdNdyySJI1mYi9JNRAR9xY+BBQfjxT2fSkinjxG+4iIl0fEtRGxs9C+LyJ+EhF/GRFPLPE6f1S4/nBEHFP7d6ZqKHxIfHeF5/xhRHwuIn4WEQ/7IVPSaCb2klQ7/wO8ofB4F3AbcD5wW0TMKzaKiCOAfweuAo4HvgD8MXARcG9h+70Sr/Fm4L+BfUB3Ld6EauI84N0VnvM6sp+fJuDOKscjqQEcMt0BSFID608pfW3E889GxC7gT8mS8H8o7P8c8GLgE8D7U0r5Eed8OiIWAu8YffGImA+8FPgIsAI4LyI+nFJK1X8rmgH+CnhbSmkoIv4cOHma45E0w9hjL0kHKSL+qjAs4jMRMdH/q9cVtosK5y4n69G/FXjfqKQegJTSzpTSB8a41hvIOmi+CqwFjgPOqDD2uRHx0Yi4szC8Y09E3BIRrx7VbnlErCscfzgi/jMi3hcRTaParS38XXQU/rw7Ih6IiGsi4uhCm7eOeL27IuJlo65xXOEafxsRr4mIzYW2vynse1yn1CTia4uIz0bErkL7H0fEKWNcNyLiTyLiPyLiwYgYjIibIuL0cWJ+8YjhMjsj4h9GxhwR9wKrgGNHDdd63nj3KqW0I6U0NF4bSbObPfaSNEmFpPGfyYbN/GVK6e/KOO33Ctvdhe0rCtsvTqKn/XxgfUrp3oj4H2BXYd/15ZwcEe3ALcBS4Ergs2TDPFaQfYPwb4V2fwCsBx4FLgHuA14C/D1wEtkQkdG+RzYU6SKyDzHvBNZFxNXAW4EvAw8X9l8ZEYtTSveMusZLyYYmFV/zpcAHgWMZMexokvFdB/QCHwY6gPcC346Ip6SUHhjR7qvAawp/P2uA5sL1fhARL08p/fuo674QeDvZtzD/D3gZ8OfA74D/W2jzbuBjwDzgPSPOdXiNpIOTUvLhw4cPH2U8yMZFJ+B5wOHAOuAR4I1jtL2XLFGbV3g8hSwZ7SNLQE8stLuqcM3frzCWUwrnnTdi36eAh4AnlHmNfylc461jHMuN+POPycbwLx+xL4CvF84/Y8T+tYV9l4y63j8W9v8GmDti//LC/o+N2HdcYd/wyL+XwmuuKxz7/w4yvn8ZFd8rC/vfNmLf6rH+fsg6xX4O3APEqJj3AseNiuMOYOeoa/wQuPcgfhb/vPizON3/Lnz48DFzHg7FkaTKPRH4AXAm8JKU0ldKtFtC1ivcC/yKrAd3N/CylNIdhTZzC9uBCmN4M1kSeeWIfWuBOcBrJzq5MGTo1cCdKaUvjD6eCkOCImIB8Gzg31NKm0ccT8BHC09Xj/ESF496/qPC9isppf3vtXDNAR77JmOkH6SUfjHqNT8+8jUPIr5PjXp+Y2E7Mo7XAw8A10TEvOIDaAeuJUvmR8d9TUrp3lFx3AQcHRGtY8QhSVXjUBxJqtxaoBU4LaV0yzjt7gUuKPz5EaAnpbR9VJtikntkuS8eES1kSfkPyRLG4qG9wHaypP+SCS4zD3gCpavtFD2lsN06xrE7gTzZcJnRfjXq+e8K29HDbYrHOkpcf7T/LGyLr1mV+FJKewp/jyPjeBrZfbl/jPOLjgK2lbpuwZ7CtgMYHOdaknRQTOwlqXJXkA2r+ZuIODul9FCJdntTShONd78DeDnZuPaNZb7+K8kSzhcVHo8TESenlG4v83pVl1IaLnGo1P4osb8mxokvRv25l/G/Ablj1PNS1x19bUmqOhN7SarcZcANZBMrvxURL0kpPTjJa11NNsH0zRGxpjB0YyLnAz1ktfFHOwz4Clmv/eNKZI6wm6yn/KQJXqvYw750jGNLyKqrjdVLXQ1PG2Pf0wvb4mvWMr5fAouBW1NK1e5ptySppKpzjL0kTUJK6d/IqqU8F/juZMdPp5Q2kX1AeDbwsRgxrqYoIo6OiP9b+PPiwmtelVK6cozHv5KNZ39tRDSP87p54HLg6RHx5jFeMwrtdgE/AV4SESeOOv6XhafrJvPey/CHEfH7o17zfYWn10xBfF8h+z35sbEORsRRk7wuZENynjDW/ZakybLHXpImKaV0ZUQ8SlZ95bqI+KORE0Mr8Mdk493fD7woIq4Cfk02jn8l2VCdLYW25xe2V41zvavIKvesplCysoS/Bp4PfCkiziIrfRlkw4IOIauTD9k3A+uBH0VEsZzki4EXAP+aUrqh3DdaoU3AjYXX3ElWOvJM4KsppZ+OaFeT+Ar3dw3wp4UPGN8i+6bjScCzyMp4jjV+vxy3FmL854j4CdkQnhsLH1TGFNmaBy8tPH1OYfuGiDi18OfPpJT6JxmPpAZgYi9JByGl9M2IeDlZMv39iHhBpclVSunBiHgpWQLfTZbod5BNht1KVmv984W6+W8kG/f9oxKXg6yH+tNkHwJKJvYppd9FxLOADxReezVZFZj/BD4zot3PI+LZwIfIarS3kA1veT/wyUrea4X+Hfgvsp73p5LV6f9I4THyfdQsvpTS+RFxE1nt/b8kG+p0H/ALHvtGYDI+Rfah4Byy+50DTid7j6X8PqPeO4990AP4GmBiL81iUd5wTkmSpkZEHEc2dv5DKaW/nd5oJKl+OMZekiRJagAm9pIkSVIDMLGXJEmSGoBj7CVJkqQGYI+9JEmS1ABM7CVJkqQGYGIvSZIkNQATe0mSJKkBmNhLkiRJDcDEXpIkSWoA/z9tmOxDK5FYEQAAAABJRU5ErkJggg==n”, “text/plain”: [

“<Figure size 864x720 with 1 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“# plot kPCA mapn”, “fig, ax = plt.subplots()n”, “ax.scatter(X_pca[0, labels == 1], X_pca[1, labels == 1], label=’Diamond’)n”, “ax.scatter(X_pca[0, labels == 2], X_pca[1, labels == 2], label=’FCC’)n”, “ax.set_xlabel(‘kPCA component 1’)n”, “ax.set_ylabel(‘kPCA component 2’)n”, “ax.legend();”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“If we zoom in just on the diamond configurations, and see that the kPCA also identifies the atoms near the vacancy as outliers”

]

}, {

“cell_type”: “code”, “execution_count”: 51, “metadata”: {

“code_folding”: [

0

], “scrolled”: false

}, “outputs”: [

{
“data”: {

“image/png”: 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n”, “text/plain”: [

“<Figure size 864x720 with 2 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“# plot zoomed in kPCA mapn”, “fig, ax = plt.subplots()n”, “p = ax.scatter(X_pca[0, labels == 1], X_pca[1, labels == 1], c=local_energy, label=’Local energy $e-e_0$ / eV’)n”, “ax.set_xlabel(‘kPCA component 1’)n”, “ax.set_ylabel(‘kPCA component 2’)n”, “ax.legend()n”, “fig.colorbar(p);”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Deep wrapping demo: Tight Binding matrix elementsn”, “n”, “Sometimes it’s useful to get interactive access to Fortran arrays, for example the tight binding Hamiltonian and Overlap matrices, either for post-processing, training other models or simply during debugging. The f90wrap-generated interface makes this possible, but it helps to have knowledge of the underlying Fortran code to know where to look.n”, “n”, “Here we do this just at the $\Gamma$-point, but the complex-valued $H$ and $S$ at all $k-$points are also available (as are their derivatives, needed for computing forces).”

]

}, {

“cell_type”: “code”, “execution_count”: 53, “metadata”: {}, “outputs”: [], “source”: [

“tb_pot = Potential("TB DFTB k_density=0.03 use_k_density", param_filename="TB_params.xml")n”, “n”, “# size of matrices is N_orb x N_atomsn”, “N_orb = 4n”, “N_atoms = len(si_vac)n”, “n”, “# allocate memory from Python - note it is Fortran contigous n”, “H = np.zeros((N_orb * N_atoms, N_orb * N_atoms), order=’F’)n”, “S = np.zeros((N_orb * N_atoms, N_orb * N_atoms), order=’F’)n”, “n”, “tb_pot.get_potential_energy(si_vac) # trigger a calculationn”, “n”, “# now we can poke around inside n”, “tb_pot._quip_potential.calc_tb_matrices(tb_pot._quip_atoms, hd=H, sd=S)”

]

}, {

“cell_type”: “code”, “execution_count”: 54, “metadata”: {

“code_folding”: [

0

], “slideshow”: {

“slide_type”: “subslide”

}

}, “outputs”: [

{
“data”: {

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n”, “text/plain”: [

“<Figure size 864x720 with 2 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“# visualise Hamiltonian and Overlap matricesn”, “fig, axs = plt.subplots(1, 2)n”, “for ax, mat, title in zip(axs, [H, S], [‘Hamiltonian’, ‘Overlap’]):n”, “ p = ax.imshow(mat)n”, “ ax.set_title(title);”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “subslide”

}

}, “source”: [

“## Post-processing example: density of statesn”, “n”, “Given $H$ and $S$, we can solve the eigenvalue problem $H \phi_i = \epsilon_i S \phi_i$ and plot the bandstructure or DoS”

]

}, {

“cell_type”: “code”, “execution_count”: 56, “metadata”: {}, “outputs”: [], “source”: [

“E_vac, phi = scipy.linalg.eigh(H, S)n”, “E_F = tb_pot._quip_potential.simple.tb.fermi_e # extract Fermi energy from inside QUIP”

]

}, {

“cell_type”: “code”, “execution_count”: 58, “metadata”: {

“code_folding”: [], “slideshow”: {

“slide_type”: “-”

}

}, “outputs”: [

{
“data”: {

“image/png”: 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n”, “text/plain”: [

“<Figure size 864x720 with 1 Axes>”

]

}, “metadata”: {

“needs_background”: “light”

}, “output_type”: “display_data”

}

], “source”: [

“# Density of states plotn”, “ax = sns.kdeplot(E_vac - E_F, bw_method=0.1, label=’Vacancy’)n”, “ax.set_xlabel(‘Energy $\epsilon - \epsilon_F$ / eV’);n”, “ax.set_ylabel(‘DOS’)n”, “ax.axvline(0.0, linestyle=’–‘);”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“# Integration with other Python packagesn”, “n”, “- [ASE](https://wiki.fysik.dtu.dk/ase/index.html) integration has already been discussedn”, “- [ASR](https://asr.readthedocs.io/en/latest/) (Atomic Simulation Recipes) recently released workflow management tooln”, “- [matscipy](https://github.com/libAtoms/matscipy), developed by James Kermode and Lars Pastewka, provides generic materials science tools, e.g. elastic constants, dislocation and fracture structure generation, as well as acting as a gateway for functionality which will later be contributed to ASEn”, “- [testing-framework](https://github.com/libAtoms/testing-framework) is a generic testing framework for atomistic models, particularly relevant for data-driven/machine learning potentials. There’s a Binderised [demo notebook](https://mybinder.org/v2/gh/libAtoms/testing-framework/public?filepath=examples%2Fdemo.ipynb) in its repo.n”, “- [pymatnest](https://github.com/libAtoms/pymatnest) is a package for carrying out nested sampling to explore the energy landscape of materials. It has efficient interfaces to both QUIP and LAMMPS.”

]

}, {

“cell_type”: “markdown”, “metadata”: {

“slideshow”: {

“slide_type”: “slide”

}

}, “source”: [

“ n”, “# Generalisation: f90wrap wraps other Fortran codesn”, “n”, “<!– <img src="f90wrap.png" align="left"> –>n”, “n”, “- Writing deep Python interfaces ‘by hand’ is possible but tediousn”, “- There are good automatic interface generators for C++ codes (e.g. SWIG or Boost.Python), but nothing support modern Fortran. n”, “- NumPy’s f2py tool provides basic Fortran wrappingn”, “- My [f90wrap](https://github.com/jameskermode/f90wrap) package adds an additional layer of wrappers, giving support for derived types, module data, efficient array accessn”, “- As well as quippy, f90wrap provides a deep [Python interface](http://wrap.warwick.ac.uk/67696/2/18112256) to CASTEP (named CasPyTep) which allows in-place modification of data, efficient continuation of electronic calculations , etc.n”, “n”, “J.R. Kermode, [f90wrap: an automated tool for constructing deep Python interfaces to modern fortran codes](https://iopscience.iop.org/article/10.1088/1361-648X/ab82d2), J. Phys.: Condens. Matter 32 305901 (2020)”

]

}

], “metadata”: {

“celltoolbar”: “Slideshow”, “kernelspec”: {

“display_name”: “Python 3”, “language”: “python”, “name”: “python3”

}, “language_info”: {

“codemirror_mode”: {

“name”: “ipython”, “version”: 3

}, “file_extension”: “.py”, “mimetype”: “text/x-python”, “name”: “python”, “nbconvert_exporter”: “python”, “pygments_lexer”: “ipython3”, “version”: “3.9.5”

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}, “nbformat”: 4, “nbformat_minor”: 1

}