diff --git a/_notebooks/skeletal-editing.ipynb b/_notebooks/skeletal-editing.ipynb index 79281d7..c463ca5 100644 --- a/_notebooks/skeletal-editing.ipynb +++ b/_notebooks/skeletal-editing.ipynb @@ -1128,29 +1128,51 @@ }, { "cell_type": "code", - "execution_count": 85, + "execution_count": 109, "metadata": {}, "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ - "" + "" ] }, - "execution_count": 85, + "execution_count": 109, "metadata": {}, "output_type": "execute_result" } ], "source": [ - "tricyclic_SO2_3ringsX = \"[O]=[S:1]=[O]>>[C:1]1C2=C([X][C]3=[C]1[C]=[C][C]=[C]3)[C]=[C][C]=[c]2\"\n", - "AllChem.ReactionFromSmarts(tricyclic_SO2_N_P_Ph_O)" + "tricyclic_SO2_3ringsX = \"[O]=[S:2]=[O]>>[c:2]3c4c([X]c5c3cccc5)cccc4\"\n", + "AllChem.ReactionFromSmarts(tricyclic_SO2_3ringsX)" ] }, { "cell_type": "code", - "execution_count": 86, + "execution_count": 191, + "metadata": {}, + "outputs": [ + { + "data": { + "image/png": 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", + "text/plain": [ + "" + ] + }, + "execution_count": 191, + "metadata": {}, + "output_type": "execute_result" + } + ], + "source": [ + "tricyclic_SO2_3ringsX = \"[O:1]=[S:2]1(=O)c2c(cccc2)c2c1cccc2>>[c:19]5[c:20][c:21][c:22][c:14]4[c:15]5[c:16][c:17]6[c:18][c:30][c:31][c:32][c:33]6[c:2]14[c:1]2[c:3]([c:4][c:5][c:6][c:7]2)[c:8]3[c:9]1[c:10][c:11][c:12][c:13]3\"\n", + "AllChem.ReactionFromSmarts(tricyclic_SO2_3ringsX)" + ] + }, + { + "cell_type": "code", + "execution_count": 192, "metadata": {}, "outputs": [ { @@ -1175,14 +1197,44 @@ "output_type": "stream", "text": [ "Distinct products:\n", - "*1C2=C(C=CC=C2)C2(C3=C1C=CC=c3)c1ccccc1-c1ccccc12\n" + "c1ccc2c(c1)cc1ccccc1c21c2ccccc2c2ccccc21\n" + ] + }, + { + "name": "stderr", + "output_type": "stream", + "text": [ + "[23:44:20] product atom-mapping number 19 not found in reactants.\n", + "[23:44:20] product atom-mapping number 20 not found in reactants.\n", + "[23:44:20] product atom-mapping number 21 not found in reactants.\n", + "[23:44:20] product atom-mapping number 22 not found in reactants.\n", + "[23:44:20] product atom-mapping number 14 not found in reactants.\n", + "[23:44:20] product atom-mapping number 15 not found in reactants.\n", + "[23:44:20] product atom-mapping number 16 not found in reactants.\n", + "[23:44:20] product atom-mapping number 17 not found in reactants.\n", + "[23:44:20] product atom-mapping number 18 not found in reactants.\n", + "[23:44:20] product atom-mapping number 30 not found in reactants.\n", + "[23:44:20] product atom-mapping number 31 not found in reactants.\n", + "[23:44:20] product atom-mapping number 32 not found in reactants.\n", + "[23:44:20] product atom-mapping number 33 not found in reactants.\n", + "[23:44:20] product atom-mapping number 3 not found in reactants.\n", + "[23:44:20] product atom-mapping number 4 not found in reactants.\n", + "[23:44:20] product atom-mapping number 5 not found in reactants.\n", + "[23:44:20] product atom-mapping number 6 not found in reactants.\n", + "[23:44:20] product atom-mapping number 7 not found in reactants.\n", + "[23:44:20] product atom-mapping number 8 not found in reactants.\n", + "[23:44:20] product atom-mapping number 9 not found in reactants.\n", + "[23:44:20] product atom-mapping number 10 not found in reactants.\n", + "[23:44:20] product atom-mapping number 11 not found in reactants.\n", + "[23:44:20] product atom-mapping number 12 not found in reactants.\n", + "[23:44:20] product atom-mapping number 13 not found in reactants.\n" ] }, { "data": { - "image/png": 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", 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", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1202,17 +1254,17 @@ }, { "cell_type": "code", - "execution_count": 87, + "execution_count": 193, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ - "" + "" ] }, - "execution_count": 87, + "execution_count": 193, "metadata": {}, "output_type": "execute_result" } @@ -1225,7 +1277,7 @@ }, { "cell_type": "code", - "execution_count": 88, + "execution_count": 194, "metadata": {}, "outputs": [], "source": [ @@ -1234,7 +1286,7 @@ }, { "cell_type": "code", - "execution_count": 89, + "execution_count": 195, "metadata": {}, "outputs": [ { @@ -1248,7 +1300,7 @@ "data": { "image/png": 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", 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", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1286,7 +1338,7 @@ }, { "cell_type": "code", - "execution_count": 90, + "execution_count": 196, "metadata": {}, "outputs": [ { @@ -1300,10 +1352,10 @@ "data": { "image/png": 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", "text/plain": [ - "" + "" ] }, - "execution_count": 90, + "execution_count": 196, "metadata": {}, "output_type": "execute_result" } @@ -1317,7 +1369,7 @@ }, { "cell_type": "code", - "execution_count": 91, + "execution_count": 197, "metadata": {}, "outputs": [ { @@ -1331,7 +1383,7 @@ "data": { "image/png": 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", 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", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1377,17 +1429,17 @@ }, { "cell_type": "code", - "execution_count": 92, + "execution_count": 198, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ - "" + "" ] }, - "execution_count": 92, + "execution_count": 198, "metadata": {}, "output_type": "execute_result" } @@ -1400,7 +1452,7 @@ }, { "cell_type": "code", - "execution_count": 93, + "execution_count": 199, "metadata": {}, "outputs": [ { @@ -1414,7 +1466,7 @@ "data": { "image/png": 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", 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", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1460,17 +1512,17 @@ }, { "cell_type": "code", - "execution_count": 94, + "execution_count": 200, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ - "" + "" ] }, - "execution_count": 94, + "execution_count": 200, "metadata": {}, "output_type": "execute_result" } @@ -1483,7 +1535,7 @@ }, { "cell_type": "code", - "execution_count": 95, + "execution_count": 201, "metadata": {}, "outputs": [ { @@ -1497,7 +1549,7 @@ "data": { "image/png": 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", "text/plain": [ - "" + "" ] }, "metadata": {}, @@ -1543,17 +1595,17 @@ }, { "cell_type": "code", - "execution_count": 96, + "execution_count": 202, "metadata": {}, "outputs": [ { "data": { "image/png": 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", "text/plain": [ - "" + "" ] }, - "execution_count": 96, + "execution_count": 202, "metadata": {}, "output_type": "execute_result" } @@ -1566,7 +1618,7 @@ }, { "cell_type": "code", - "execution_count": 97, + "execution_count": 203, "metadata": {}, "outputs": [ { @@ -1580,7 +1632,7 @@ "data": { "image/png": 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", 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", 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