{"cells":[{"metadata":{},"cell_type":"markdown","source":"**Recovering bonds from structure**\n\nThis kernel presents a method to extract the bonds between atoms in a molecule. The inputs are the XYZ coordinates of the atoms (as found in the given structure data) and the covalent radius for each element (from wikipedia). The output is, for each atom, a list of atom_indexes of the other atoms that it is bonded to. The method is similar to the atomic connectivity step described here: http://proteinsandwavefunctions.blogspot.com/2018/01/xyz2mol-converting-xyz-file-to-rdkit.html."},{"metadata":{"_uuid":"8f2839f25d086af736a60e9eeb907d3b93b6e0e5","_cell_guid":"b1076dfc-b9ad-4769-8c92-a6c4dae69d19","trusted":true},"cell_type":"code","source":"import numpy as np\nimport pandas as pd\nimport os\nfrom tqdm import tqdm_notebook as tqdm\nfrom matplotlib import pyplot as plt\n%matplotlib inline\nprint(os.listdir(\"../input\"))\n\nKAGGLE_DIR = '../input'\n\n# Atom level properties\nMULLIKEN_CHARGES_CSV = os.path.join(KAGGLE_DIR, 'mulliken_charges.csv')\nSCALAR_COUPLING_CONTRIBUTIONS_CSV = os.path.join(KAGGLE_DIR, 'scalar_coupling_contributions.csv')\nMAGNETIC_SHIELDING_TENSORS_CSV = os.path.join(KAGGLE_DIR, 'magnetic_shielding_tensors.csv')\nSTRUCTURES_CSV = os.path.join(KAGGLE_DIR, 'structures.csv')\n\n# Molecule level properties\nPOTENTIAL_ENERGY_CSV = os.path.join(KAGGLE_DIR, 'potential_energy.csv')\nDIPOLE_MOMENTS_CSV = os.path.join(KAGGLE_DIR, 'dipole_moments.csv')\n\n# Atom-Atom interactions\nTRAIN_CSV = os.path.join(KAGGLE_DIR, 'train.csv')\nTEST_CSV = os.path.join(KAGGLE_DIR, 'test.csv')","execution_count":32,"outputs":[{"output_type":"stream","text":"['potential_energy.csv', 'mulliken_charges.csv', 'train.csv', 'scalar_coupling_contributions.csv', 'sample_submission.csv', 'structures', 'test.csv', 'magnetic_shielding_tensors.csv', 'dipole_moments.csv', 'structures.csv']\n","name":"stdout"}]},{"metadata":{},"cell_type":"markdown","source":"**Read and preprocess structure data**\n\nThe most important step here for bond detection is the addition of the atomic radius values. There are several different definitions of atomic radius, but the most relevant in this situation is the radius of a single covalent bond. Wikipedia maintains a table with this value at https://en.wikipedia.org/wiki/Atomic_radii_of_the_elements_(data_page). I increased the values slightly in order to reduce false negatives. Atoms that are not bonded repel each other, so it should be rare that this increase will result in false positives."},{"metadata":{"_cell_guid":"79c7e3d0-c299-4dcb-8224-4455121ee9b0","_uuid":"d629ff2d2480ee46fbb7e2d37f6b5fab8052498a","trusted":true},"cell_type":"code","source":"atomic_radius = {'H':0.38, 'C':0.77, 'N':0.75, 'O':0.73, 'F':0.71} # Without fudge factor\n\nfudge_factor = 0.05\natomic_radius = {k:v + fudge_factor for k,v in atomic_radius.items()}\nprint(atomic_radius)\n\nelectronegativity = {'H':2.2, 'C':2.55, 'N':3.04, 'O':3.44, 'F':3.98}\n\nstructures = pd.read_csv(STRUCTURES_CSV, dtype={'atom_index':np.int8})\n\natoms = structures['atom'].values\natoms_en = [electronegativity[x] for x in tqdm(atoms)]\natoms_rad = [atomic_radius[x] for x in tqdm(atoms)]\n\nstructures['EN'] = atoms_en\nstructures['rad'] = atoms_rad\n\ndisplay(structures.head())","execution_count":33,"outputs":[{"output_type":"stream","text":"{'H': 0.43, 'C': 0.8200000000000001, 'N': 0.8, 'O': 0.78, 'F': 0.76}\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"HBox(children=(IntProgress(value=0, max=2358657), HTML(value='')))","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"97d5965485ab4f13ba60c4415eb26353"}},"metadata":{}},{"output_type":"stream","text":"\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"HBox(children=(IntProgress(value=0, max=2358657), HTML(value='')))","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"987d1932649a4e5fae71e6eb939f5b45"}},"metadata":{}},{"output_type":"stream","text":"\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":" molecule_name atom_index atom ... z EN rad\n0 dsgdb9nsd_000001 0 C ... 0.008001 2.55 0.82\n1 dsgdb9nsd_000001 1 H ... 0.001976 2.20 0.43\n2 dsgdb9nsd_000001 2 H ... 0.000277 2.20 0.43\n3 dsgdb9nsd_000001 3 H ... -0.876644 2.20 0.43\n4 dsgdb9nsd_000001 4 H ... 0.906397 2.20 0.43\n\n[5 rows x 8 columns]","text/html":"
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molecule_nameatom_indexatomxyzENrad
0dsgdb9nsd_0000010C-0.0126981.0858040.0080012.550.82
1dsgdb9nsd_0000011H0.002150-0.0060310.0019762.200.43
2dsgdb9nsd_0000012H1.0117311.4637510.0002772.200.43
3dsgdb9nsd_0000013H-0.5408151.447527-0.8766442.200.43
4dsgdb9nsd_0000014H-0.5238141.4379330.9063972.200.43
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"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"**Chemical Bond Calculation**\n\n"},{"metadata":{"trusted":true},"cell_type":"code","source":"i_atom = structures['atom_index'].values\np = structures[['x', 'y', 'z']].values\np_compare = p\nm = structures['molecule_name'].values\nm_compare = m\nr = structures['rad'].values\nr_compare = r\n\nsource_row = np.arange(len(structures))\nmax_atoms = 28\n\nbonds = np.zeros((len(structures)+1, max_atoms+1), dtype=np.int8)\nbond_dists = np.zeros((len(structures)+1, max_atoms+1), dtype=np.float32)\n\nprint('Calculating bonds')\n\nfor i in tqdm(range(max_atoms-1)):\n p_compare = np.roll(p_compare, -1, axis=0)\n m_compare = np.roll(m_compare, -1, axis=0)\n r_compare = np.roll(r_compare, -1, axis=0)\n \n mask = np.where(m == m_compare, 1, 0) #Are we still comparing atoms in the same molecule?\n dists = np.linalg.norm(p - p_compare, axis=1) * mask\n r_bond = r + r_compare\n \n bond = np.where(np.logical_and(dists > 0.0001, dists < r_bond), 1, 0)\n \n source_row = source_row\n target_row = source_row + i + 1 #Note: Will be out of bounds of bonds array for some values of i\n target_row = np.where(np.logical_or(target_row > len(structures), mask==0), len(structures), target_row) #If invalid target, write to dummy row\n \n source_atom = i_atom\n target_atom = i_atom + i + 1 #Note: Will be out of bounds of bonds array for some values of i\n target_atom = np.where(np.logical_or(target_atom > max_atoms, mask==0), max_atoms, target_atom) #If invalid target, write to dummy col\n \n bonds[(source_row, target_atom)] = bond\n bonds[(target_row, source_atom)] = bond\n bond_dists[(source_row, target_atom)] = dists\n bond_dists[(target_row, source_atom)] = dists\n\nbonds = np.delete(bonds, axis=0, obj=-1) #Delete dummy row\nbonds = np.delete(bonds, axis=1, obj=-1) #Delete dummy col\nbond_dists = np.delete(bond_dists, axis=0, obj=-1) #Delete dummy row\nbond_dists = np.delete(bond_dists, axis=1, obj=-1) #Delete dummy col\n\nprint('Counting and condensing bonds')\n\nbonds_numeric = [[i for i,x in enumerate(row) if x] for row in tqdm(bonds)]\nbond_lengths = [[dist for i,dist in enumerate(row) if i in bonds_numeric[j]] for j,row in enumerate(tqdm(bond_dists))]\nn_bonds = [len(x) for x in bonds_numeric]\n\n#bond_data = {'bond_' + str(i):col for i, col in enumerate(np.transpose(bonds))}\n#bond_data.update({'bonds_numeric':bonds_numeric, 'n_bonds':n_bonds})\n\nbond_data = {'bonds':bonds_numeric, 'n_bonds':n_bonds, 'bond_lengths':bond_lengths}\nbond_df = pd.DataFrame(bond_data)\nstructures = structures.join(bond_df)\ndisplay(structures.head(20))","execution_count":34,"outputs":[{"output_type":"stream","text":"Calculating bonds\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"HBox(children=(IntProgress(value=0, max=27), HTML(value='')))","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"863f727f2a4640698d46c83d068a2da6"}},"metadata":{}},{"output_type":"stream","text":"\nCounting and condensing bonds\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"HBox(children=(IntProgress(value=0, max=2358657), HTML(value='')))","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"2579cd1d81254f4785bf7f653ffd10f1"}},"metadata":{}},{"output_type":"stream","text":"\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":"HBox(children=(IntProgress(value=0, max=2358657), HTML(value='')))","application/vnd.jupyter.widget-view+json":{"version_major":2,"version_minor":0,"model_id":"94d2d257047c42f8a0488ed28fa83c97"}},"metadata":{}},{"output_type":"stream","text":"\n","name":"stdout"},{"output_type":"display_data","data":{"text/plain":" molecule_name ... bond_lengths\n0 dsgdb9nsd_000001 ... [1.091953, 1.0919516, 1.0919464, 1.0919476]\n1 dsgdb9nsd_000001 ... [1.091953]\n2 dsgdb9nsd_000001 ... [1.0919516]\n3 dsgdb9nsd_000001 ... [1.0919464]\n4 dsgdb9nsd_000001 ... [1.0919476]\n5 dsgdb9nsd_000002 ... [1.01719, 1.0171872, 1.0172079]\n6 dsgdb9nsd_000002 ... [1.01719]\n7 dsgdb9nsd_000002 ... [1.0171872]\n8 dsgdb9nsd_000002 ... [1.0172079]\n9 dsgdb9nsd_000003 ... [0.9621068, 0.9621068]\n10 dsgdb9nsd_000003 ... [0.9621068]\n11 dsgdb9nsd_000003 ... [0.9621068]\n12 dsgdb9nsd_000004 ... [1.199079, 1.0620991]\n13 dsgdb9nsd_000004 ... [1.199079, 1.0620991]\n14 dsgdb9nsd_000004 ... [1.0620991]\n15 dsgdb9nsd_000004 ... [1.0620991]\n16 dsgdb9nsd_000005 ... [1.151748, 1.066598]\n17 dsgdb9nsd_000005 ... [1.151748]\n18 dsgdb9nsd_000005 ... [1.066598]\n19 dsgdb9nsd_000007 ... [1.5296288, 1.0949537, 1.0949581, 1.0949682]\n\n[20 rows x 11 columns]","text/html":"
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molecule_nameatom_indexatomxyzENradbondsn_bondsbond_lengths
0dsgdb9nsd_0000010C-0.0126981.0858040.0080012.550.82[1, 2, 3, 4]4[1.091953, 1.0919516, 1.0919464, 1.0919476]
1dsgdb9nsd_0000011H0.002150-0.0060310.0019762.200.43[0]1[1.091953]
2dsgdb9nsd_0000012H1.0117311.4637510.0002772.200.43[0]1[1.0919516]
3dsgdb9nsd_0000013H-0.5408151.447527-0.8766442.200.43[0]1[1.0919464]
4dsgdb9nsd_0000014H-0.5238141.4379330.9063972.200.43[0]1[1.0919476]
5dsgdb9nsd_0000020N-0.0404261.0241080.0625643.040.80[1, 2, 3]3[1.01719, 1.0171872, 1.0172079]
6dsgdb9nsd_0000021H0.0172570.012545-0.0273772.200.43[0]1[1.01719]
7dsgdb9nsd_0000022H0.9157891.358745-0.0287582.200.43[0]1[1.0171872]
8dsgdb9nsd_0000023H-0.5202781.343532-0.7755432.200.43[0]1[1.0172079]
9dsgdb9nsd_0000030O-0.0343600.9775400.0076023.440.78[1, 2]2[0.9621068, 0.9621068]
10dsgdb9nsd_0000031H0.0647660.0205720.0015352.200.43[0]1[0.9621068]
11dsgdb9nsd_0000032H0.8717901.3007920.0006932.200.43[0]1[0.9621068]
12dsgdb9nsd_0000040C0.5995390.0000001.0000002.550.82[1, 3]2[1.199079, 1.0620991]
13dsgdb9nsd_0000041C-0.5995390.0000001.0000002.550.82[0, 2]2[1.199079, 1.0620991]
14dsgdb9nsd_0000042H-1.6616390.0000001.0000002.200.43[1]1[1.0620991]
15dsgdb9nsd_0000043H1.6616390.0000001.0000002.200.43[0]1[1.0620991]
16dsgdb9nsd_0000050C-0.0133241.1324660.0082762.550.82[1, 2]2[1.151748, 1.066598]
17dsgdb9nsd_0000051N0.002311-0.0191590.0019293.040.80[0]1[1.151748]
18dsgdb9nsd_0000052H-0.0278032.1989490.0141542.200.43[0]1[1.066598]
19dsgdb9nsd_0000070C-0.0187041.5255820.0104332.550.82[1, 2, 3, 4]4[1.5296288, 1.0949537, 1.0949581, 1.0949682]
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"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"**Validation**"},{"metadata":{},"cell_type":"markdown","source":"**The last molecule - 133885**\n\nHere is a visualization of the xyz file generated by a program called IQmol \n\n(Info and download here: http://iqmol.org/)\n\n![image.png](attachment:image.png)\n\nThis molecule has 16 atoms. Below are the generated bonds. It is fairly easy to verify that the visualization program and the generated bonds agree. (Note: IQmol uses 1-index and I use 0-index)","attachments":{"image.png":{"image/png":"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"}}},{"metadata":{"_kg_hide-input":true,"trusted":true},"cell_type":"code","source":"structures.tail(16)","execution_count":35,"outputs":[{"output_type":"execute_result","execution_count":35,"data":{"text/plain":" molecule_name ... bond_lengths\n2358641 dsgdb9nsd_133885 ... [1.554426, 1.5406667, 1.0918261, 1.0918262]\n2358642 dsgdb9nsd_133885 ... [1.554426, 1.5630976, 1.5630974]\n2358643 dsgdb9nsd_133885 ... [1.5630976, 1.5032718, 1.5311829, 1.0882041]\n2358644 dsgdb9nsd_133885 ... [1.5032718, 1.537739, 1.5195159, 1.0804824]\n2358645 dsgdb9nsd_133885 ... [1.537739, 1.432254, 1.5377394, 1.0805514]\n2358646 dsgdb9nsd_133885 ... [1.432254, 1.4103838]\n2358647 dsgdb9nsd_133885 ... [1.5406667, 1.5311829, 1.4103838, 1.5311819]\n2358648 dsgdb9nsd_133885 ... [1.5630974, 1.5311819, 1.5032722, 1.0882041]\n2358649 dsgdb9nsd_133885 ... [1.5195159, 1.5377394, 1.5032722, 1.0804824]\n2358650 dsgdb9nsd_133885 ... [1.0918261]\n2358651 dsgdb9nsd_133885 ... [1.0918262]\n2358652 dsgdb9nsd_133885 ... [1.0882041]\n2358653 dsgdb9nsd_133885 ... [1.0804824]\n2358654 dsgdb9nsd_133885 ... [1.0805514]\n2358655 dsgdb9nsd_133885 ... [1.0882041]\n2358656 dsgdb9nsd_133885 ... [1.0804824]\n\n[16 rows x 11 columns]","text/html":"
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molecule_nameatom_indexatomxyzENradbondsn_bondsbond_lengths
2358641dsgdb9nsd_1338850C-1.4098771.3373370.4099532.550.82[1, 6, 9, 10]4[1.554426, 1.5406667, 1.0918261, 1.0918262]
2358642dsgdb9nsd_1338851N-1.5645940.099125-0.5169413.040.80[0, 2, 7]3[1.554426, 1.5630976, 1.5630974]
2358643dsgdb9nsd_1338852C-0.832899-0.7075500.6042952.550.82[1, 3, 6, 11]4[1.5630976, 1.5032718, 1.5311829, 1.0882041]
2358644dsgdb9nsd_1338853C0.271030-1.6186140.1448052.550.82[2, 4, 8, 12]4[1.5032718, 1.537739, 1.5195159, 1.0804824]
2358645dsgdb9nsd_1338854C1.528454-0.7551230.3395082.550.82[3, 5, 8, 13]4[1.537739, 1.432254, 1.5377394, 1.0805514]
2358646dsgdb9nsd_1338855O1.2502130.4586401.0471193.440.78[4, 6]2[1.432254, 1.4103838]
2358647dsgdb9nsd_1338856C-0.0574000.6112100.5411022.550.82[0, 2, 5, 7]4[1.5406667, 1.5311829, 1.4103838, 1.5311819]
2358648dsgdb9nsd_1338857C-0.0959290.380424-0.9720982.550.82[1, 6, 8, 14]4[1.5630974, 1.5311819, 1.5032722, 1.0882041]
2358649dsgdb9nsd_1338858C0.816694-0.813067-1.0223602.550.82[3, 4, 7, 15]4[1.5195159, 1.5377394, 1.5032722, 1.0804824]
2358650dsgdb9nsd_1338859H-2.0904361.3270661.2636612.200.43[0]1[1.0918261]
2358651dsgdb9nsd_13388510H-1.4400422.287218-0.1275432.200.43[0]1[1.0918262]
2358652dsgdb9nsd_13388511H-1.454004-0.9673091.4592462.200.43[2]1[1.0882041]
2358653dsgdb9nsd_13388512H0.277779-2.6978720.1957702.200.43[3]1[1.0804824]
2358654dsgdb9nsd_13388513H2.515854-1.1517840.5273692.200.43[4]1[1.0805514]
2358655dsgdb9nsd_13388514H0.0136991.199431-1.6801922.200.43[7]1[1.0882041]
2358656dsgdb9nsd_13388515H1.260745-1.246754-1.9067672.200.43[8]1[1.0804824]
\n
"},"metadata":{}}]},{"metadata":{},"cell_type":"markdown","source":"**Bond counts by element**\n\nBased on the number of electrons in an atom's valence shell, we know how many bonds the atom needs to form to be stable. Hydrogen needs 1, Flourine needs 1, Oxygen needs 2, Nitrogen needs 3, and Carbon needs 4. Bonds can be single, double, or triple, but we have not yet calculated the strength of the bonds. Therefore there is a range of valid bond counts we could get for each atom.\n\n- Hydrogen \n - 1\n- Flourine\n - 1\n- Oxygen\n - 1 - 2\n- Nitrogen \n - 1 - 3\n- Carbon \n - 2 - 4\n \nWhen we graph the number of bonds for each element we see that these conditions are met, with the sole exception of several Nitrogen atoms forming 4 bonds."},{"metadata":{"_kg_hide-input":true,"trusted":true},"cell_type":"code","source":"elements = structures['atom'].unique()\ngraphs_per_row = 3\nrow_count = int(np.ceil(len(elements) / graphs_per_row))\nfig, axes = plt.subplots(row_count, graphs_per_row, figsize=(20, row_count * 5))\n\nfor i, element in enumerate(elements):\n x = structures[structures['atom'] == element].n_bonds.value_counts().index\n y = structures[structures['atom'] == element].n_bonds.value_counts().values\n ax = axes[i//graphs_per_row, i%graphs_per_row]\n ax.bar(x=x, height=y, tick_label=[str(n) for n in x], label='Bond count')\n ax.set(title=f'Bond count - {element}', xlabel='Bond count', ylabel='frequency')\n\nplt.tight_layout()\nplt.show()","execution_count":49,"outputs":[{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"trusted":true,"_kg_hide-input":true},"cell_type":"code","source":"elements = structures['atom'].unique()\ngraphs_per_row = 3\nrow_count = int(np.ceil(len(elements) / graphs_per_row))\nfig, axes = plt.subplots(row_count, graphs_per_row, figsize=(20, row_count * 5))\n\nfor i, element in enumerate(elements):\n y = []\n for l in structures[structures['atom'] == element]['bond_lengths'].values:\n y.extend(l)\n ax = axes[i//graphs_per_row, i%graphs_per_row]\n ax.hist(y, bins=1000)\n ax.set(title=f'Bond lengths - {element}', xlabel='Bond length', ylabel='frequency')\n\nplt.tight_layout()\nplt.show()","execution_count":50,"outputs":[{"output_type":"display_data","data":{"text/plain":"
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\n"},"metadata":{}}]},{"metadata":{"trusted":true},"cell_type":"code","source":"","execution_count":null,"outputs":[]}],"metadata":{"kernelspec":{"display_name":"Python 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