.. DO NOT EDIT. .. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY. .. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE: .. "auto_examples/plot_SiO2_Si_MM.py" .. LINE NUMBERS ARE GIVEN BELOW. .. only:: html .. note:: :class: sphx-glr-download-link-note :ref:`Go to the end ` to download the full example code. .. rst-class:: sphx-glr-example-title .. _sphx_glr_auto_examples_plot_SiO2_Si_MM.py: Mueller matrix ============== Mueller matrix fit to a SiO2 on Si measurement. .. GENERATED FROM PYTHON SOURCE LINES 9-14 .. code-block:: Python import elli from elli.fitting import ParamsHist, fit_mueller_matrix .. GENERATED FROM PYTHON SOURCE LINES 16-27 Read data --------- We load the data from an ascii file containing each of the mueller matrix elements. The wavelength range is cut to be in between 210 nm and 820 nm, to stay in the range of the provided literature values for Si. The data is expected to be in a pandas dataframe containing the columns Mxy, where x and y refer to the matrix element inside the mueller matrix. The data is scaled by the M11 element, such that :math:`M_{11} = 1` for all wavelengths. To show the structure we print the `MM` dataframe. If you load your data from another source make sure it adheres to this form. .. GENERATED FROM PYTHON SOURCE LINES 27-30 .. code-block:: Python MM = elli.read_spectraray_mmatrix("Wafer_MM_70.txt").loc[210:820] print(MM) .. rst-class:: sphx-glr-script-out .. code-block:: none M11 M12 M13 M14 ... M41 M42 M43 M44 Wavelength ... 210.30366 1.0 -0.09147 -0.01241 -0.00614 ... 0.00986 0.00048 -0.95574 0.25821 210.76102 1.0 -0.10879 -0.01151 -0.00901 ... 0.00917 0.01319 -0.96899 0.24432 211.21834 1.0 -0.10639 -0.00694 -0.00475 ... 0.00712 0.00891 -0.96191 0.24986 211.67561 1.0 -0.11544 -0.02094 -0.00348 ... 0.01877 0.01726 -0.95951 0.25408 212.13284 1.0 -0.12199 0.02182 0.00480 ... -0.01790 -0.01957 -0.95493 0.28308 ... ... ... ... ... ... ... ... ... ... 818.08934 1.0 -0.44285 -0.00048 -0.00288 ... 0.00292 -0.00276 -0.87949 0.15713 818.50589 1.0 -0.44301 0.00376 0.00118 ... -0.00159 -0.01090 -0.87876 0.16422 818.92240 1.0 -0.44245 0.00887 0.00626 ... -0.00585 -0.01388 -0.87960 0.16743 819.33886 1.0 -0.44406 -0.00646 -0.00610 ... 0.00882 0.00424 -0.87907 0.15105 819.75528 1.0 -0.44381 0.01170 0.00550 ... -0.00692 -0.01260 -0.87849 0.16637 [1396 rows x 16 columns] .. GENERATED FROM PYTHON SOURCE LINES 31-35 Setting start parameters ------------------------ Here we set the start parameters for the SiO2 cauchy dispersion and thickness of the layer. .. GENERATED FROM PYTHON SOURCE LINES 35-44 .. code-block:: Python params = ParamsHist() params.add("SiO2_n0", value=1.452, min=-100, max=100, vary=True) params.add("SiO2_n1", value=36.0, min=-40000, max=40000, vary=True) params.add("SiO2_n2", value=0, min=-40000, max=40000, vary=True) params.add("SiO2_k0", value=0, min=-100, max=100, vary=True) params.add("SiO2_k1", value=0, min=-40000, max=40000, vary=True) params.add("SiO2_k2", value=0, min=-40000, max=40000, vary=True) params.add("SiO2_d", value=120, min=0, max=40000, vary=True) .. GENERATED FROM PYTHON SOURCE LINES 45-55 Load silicon dispersion from the refractiveindexinfo database ------------------------------------------------------------- You can load any material from the index `refractiveindex.info `__, which is embedded into the software (so you may use it offline, too). Here, we are interested in the literature values for the silicon substrate. First we need to load the database with ``rii_db = elli.db.RII()`` and then we can query it with ``rii_db.get_mat("Si", "Aspnes")`` to load this `entry `__. .. GENERATED FROM PYTHON SOURCE LINES 55-59 .. code-block:: Python rii_db = elli.db.RII() Si = rii_db.get_mat("Si", "Aspnes") .. GENERATED FROM PYTHON SOURCE LINES 60-66 Building the model ------------------ Here the model is build and the experimental structure is returned. For details on this process please refer to the :ref:`Basic usage` example. When executed in an jupyter notebook this displays an interactive graph with which you can select the start parameters before fitting the data. .. GENERATED FROM PYTHON SOURCE LINES 66-84 .. code-block:: Python @fit_mueller_matrix(MM, params, display_single=False, sharex=True, full_scale=False) def model(lbda, params): SiO2 = elli.Cauchy( params["SiO2_n0"], params["SiO2_n1"], params["SiO2_n2"], params["SiO2_k0"], params["SiO2_k1"], params["SiO2_k2"], ).get_mat() Layer = [elli.Layer(SiO2, params["SiO2_d"])] return elli.Structure(elli.AIR, Layer, Si).evaluate( lbda, 70, solver=elli.Solver4x4, propagator=elli.PropagatorExpm() ) .. GENERATED FROM PYTHON SOURCE LINES 85-88 Plot & Fit the model -------------------- Here we plot the model at the initial parameter set vs. the experimental data. .. GENERATED FROM PYTHON SOURCE LINES 88-90 .. code-block:: Python model.plot() .. rst-class:: sphx-glr-script-out .. code-block:: none FigureWidget({ 'data': [{'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M11 ', 'type': 'scatter', 'uid': 'df2ee9b2-d267-41a0-8f8b-cc704b01c309', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x', 'y': array([1., 1., 1., ..., 1., 1., 1.]), 'yaxis': 'y'}, {'line': {'color': '#636EFA', 'dash': 'dash'}, 'name': 'M11 theory', 'type': 'scatter', 'uid': '91e184c2-1787-4a07-bfae-93317c38f412', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x', 'y': array([1., 1., 1., ..., 1., 1., 1.]), 'yaxis': 'y'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M12 ', 'type': 'scatter', 'uid': '7da76c5b-c027-489b-a805-54b8109cddce', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x2', 'y': array([-0.09147, -0.10879, -0.10639, ..., -0.44245, -0.44406, -0.44381]), 'yaxis': 'y2'}, {'line': {'color': '#EF553B', 'dash': 'dash'}, 'name': 'M12 theory', 'type': 'scatter', 'uid': '7de4753e-5fa4-426a-ad97-42216c4cdd11', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x2', 'y': array([ 0.48855385, 0.48240998, 0.47406745, ..., -0.27742534, -0.27818747, -0.27894785]), 'yaxis': 'y2'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M13 ', 'type': 'scatter', 'uid': 'd5411206-cf47-4a4c-a6c2-97eb8326325e', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x3', 'y': array([-0.01241, -0.01151, -0.00694, ..., 0.00887, -0.00646, 0.0117 ]), 'yaxis': 'y3'}, {'line': {'color': '#00CC96', 'dash': 'dash'}, 'name': 'M13 theory', 'type': 'scatter', 'uid': '248733d8-068f-4725-b901-d43cd3ae4476', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x3', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y3'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M14 ', 'type': 'scatter', 'uid': 'ebb6c607-1849-4ac3-837b-88115d5fd3bd', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x4', 'y': array([-0.00614, -0.00901, -0.00475, ..., 0.00626, -0.0061 , 0.0055 ]), 'yaxis': 'y4'}, {'line': {'color': '#AB63FA', 'dash': 'dash'}, 'name': 'M14 theory', 'type': 'scatter', 'uid': '2f6c9313-7011-49aa-92fb-40317a4d8d85', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x4', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y4'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M21 ', 'type': 'scatter', 'uid': '8fe7f489-1f6e-40fb-85ad-677ab78a016d', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x5', 'y': array([-0.09605, -0.09754, -0.10761, ..., -0.44024, -0.44126, -0.44135]), 'yaxis': 'y5'}, {'line': {'color': '#FFA15A', 'dash': 'dash'}, 'name': 'M21 theory', 'type': 'scatter', 'uid': '57b1e170-e691-4719-a73f-2ab0625d69d7', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x5', 'y': array([ 0.48855385, 0.48240998, 0.47406745, ..., -0.27742534, -0.27818747, -0.27894785]), 'yaxis': 'y5'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M22 ', 'type': 'scatter', 'uid': 'd80b3bae-71fd-4b27-b16a-59cb59f1a8cf', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x6', 'y': array([0.99426, 0.99475, 0.99637, ..., 0.99723, 0.99661, 0.99606]), 'yaxis': 'y6'}, {'line': {'color': '#19D3F3', 'dash': 'dash'}, 'name': 'M22 theory', 'type': 'scatter', 'uid': '30eb86df-35d0-4ff3-8c9f-18beac55d65e', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x6', 'y': array([1., 1., 1., ..., 1., 1., 1.]), 'yaxis': 'y6'}, {'line': {'color': '#FF6692', 'dash': 'solid'}, 'name': 'M23 ', 'type': 'scatter', 'uid': '2ae7c974-72fb-4664-ac6c-a944f2b95ce7', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x7', 'y': array([-0.00364, -0.00427, -0.00207, ..., -0.00457, 0.00234, -0.00653]), 'yaxis': 'y7'}, {'line': {'color': '#FF6692', 'dash': 'dash'}, 'name': 'M23 theory', 'type': 'scatter', 'uid': '0275338b-0b96-4b60-9e13-096d83cb61d2', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x7', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y7'}, {'line': {'color': '#B6E880', 'dash': 'solid'}, 'name': 'M24 ', 'type': 'scatter', 'uid': '53adfdeb-7953-4a07-be7e-54d6551b4491', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x8', 'y': array([ 0.01084, -0.00325, 0.01123, ..., -0.00263, 0.00227, -0.00311]), 'yaxis': 'y8'}, {'line': {'color': '#B6E880', 'dash': 'dash'}, 'name': 'M24 theory', 'type': 'scatter', 'uid': 'a1c63e77-fdfc-46ed-a8cc-e68629eae078', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x8', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y8'}, {'line': {'color': '#FF97FF', 'dash': 'solid'}, 'name': 'M31 ', 'type': 'scatter', 'uid': 'be7be2f3-9b64-4884-a14b-0411acb1de0a', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x9', 'y': array([-0.00278, -0.00634, -0.00219, ..., 0.00055, -0.00105, 0.00037]), 'yaxis': 'y9'}, {'line': {'color': '#FF97FF', 'dash': 'dash'}, 'name': 'M31 theory', 'type': 'scatter', 'uid': 'e73a9629-74a4-455c-8f2b-8ab8040a4d60', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x9', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y9'}, {'line': {'color': '#FECB52', 'dash': 'solid'}, 'name': 'M32 ', 'type': 'scatter', 'uid': '60c52dad-8b08-45e8-9d83-f9385dc80010', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x10', 'y': array([-0.00212, -0.00045, 0.0003 , ..., -0.0018 , -0.00042, 0.00037]), 'yaxis': 'y10'}, {'line': {'color': '#FECB52', 'dash': 'dash'}, 'name': 'M32 theory', 'type': 'scatter', 'uid': '6db8820d-ecbf-4c5c-860a-643b19a300c3', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x10', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y10'}, {'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M33 ', 'type': 'scatter', 'uid': '982691a6-bc94-4141-84c9-11adfc6b5f57', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x11', 'y': array([0.27283, 0.26726, 0.2728 , ..., 0.16236, 0.16271, 0.16255]), 'yaxis': 'y11'}, {'line': {'color': '#636EFA', 'dash': 'dash'}, 'name': 'M33 theory', 'type': 'scatter', 'uid': '12e75cdc-02b3-4b39-ba84-b91699848f9f', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x11', 'y': array([-0.78177026, -0.75168899, -0.71871123, ..., 0.20163327, 0.20156999, 0.20150625]), 'yaxis': 'y11'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M34 ', 'type': 'scatter', 'uid': '82c7e3b6-3a09-450f-a73a-f7e4dd63f4a4', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x12', 'y': array([0.95555, 0.9645 , 0.95821, ..., 0.87712, 0.87629, 0.87661]), 'yaxis': 'y12'}, {'line': {'color': '#EF553B', 'dash': 'dash'}, 'name': 'M34 theory', 'type': 'scatter', 'uid': '099ce110-9cbb-47b6-abdb-ebae90a009fd', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x12', 'y': array([0.38749245, 0.44971578, 0.50863958, ..., 0.93935042, 0.93913858, 0.93892669]), 'yaxis': 'y12'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M41 ', 'type': 'scatter', 'uid': 'ba33be5b-8b9f-4f35-8ee8-f238bc1cbf66', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x13', 'y': array([ 0.00986, 0.00917, 0.00712, ..., -0.00585, 0.00882, -0.00692]), 'yaxis': 'y13'}, {'line': {'color': '#00CC96', 'dash': 'dash'}, 'name': 'M41 theory', 'type': 'scatter', 'uid': 'a6a633b2-37d5-45f6-a4b1-b245f667d6e8', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x13', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y13'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M42 ', 'type': 'scatter', 'uid': 'f764d341-62e2-4981-8a0f-e2e58c8621ec', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x14', 'y': array([ 0.00048, 0.01319, 0.00891, ..., -0.01388, 0.00424, -0.0126 ]), 'yaxis': 'y14'}, {'line': {'color': '#AB63FA', 'dash': 'dash'}, 'name': 'M42 theory', 'type': 'scatter', 'uid': '222bea3d-7b05-472c-a2ab-843153fc0ac6', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x14', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y14'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M43 ', 'type': 'scatter', 'uid': '9591c564-82cd-45f1-944c-dada881f9f04', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x15', 'y': array([-0.95574, -0.96899, -0.96191, ..., -0.8796 , -0.87907, -0.87849]), 'yaxis': 'y15'}, {'line': {'color': '#FFA15A', 'dash': 'dash'}, 'name': 'M43 theory', 'type': 'scatter', 'uid': '9b8a4dd3-d3b4-41b2-b0e2-a6d0f7dfb26b', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x15', 'y': array([-0.38749245, -0.44971578, -0.50863958, ..., -0.93935042, -0.93913858, -0.93892669]), 'yaxis': 'y15'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M44 ', 'type': 'scatter', 'uid': '0b1498c4-b5a5-4793-b536-3743b1dc37b5', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x16', 'y': array([0.25821, 0.24432, 0.24986, ..., 0.16743, 0.15105, 0.16637]), 'yaxis': 'y16'}, {'line': {'color': '#19D3F3', 'dash': 'dash'}, 'name': 'M44 theory', 'type': 'scatter', 'uid': '52842119-28c9-43a0-b7ec-b6e8d162d457', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x16', 'y': array([-0.78177026, -0.75168899, -0.71871123, ..., 0.20163327, 0.20156999, 0.20150625]), 'yaxis': 'y16'}], 'layout': {'template': '...', 'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]}, 'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]}, 'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]}, 'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]}, 'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]}, 'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]}, 'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]}, 'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]}, 'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]}, 'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]}, 'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]}, 'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]}, 'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]}, 'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]}, 'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]}, 'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}} }) .. GENERATED FROM PYTHON SOURCE LINES 91-92 We can also plot the residual between measurement and model. .. GENERATED FROM PYTHON SOURCE LINES 92-94 .. code-block:: Python model.plot_residual() .. rst-class:: sphx-glr-script-out .. code-block:: none FigureWidget({ 'data': [{'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M11 ', 'type': 'scatter', 'uid': 'e1ac1f89-0a37-42df-9efa-92ac85a5ea7d', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M12 ', 'type': 'scatter', 'uid': '08311f47-f04e-4de6-9fa0-04fd066cefdc', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x2', 'y': array([0.58002385, 0.59119998, 0.58045745, ..., 0.16502466, 0.16587253, 0.16486215]), 'yaxis': 'y2'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M13 ', 'type': 'scatter', 'uid': '79720d2f-0214-457c-a2c8-131d3900951e', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x3', 'y': array([ 0.01241, 0.01151, 0.00694, ..., -0.00887, 0.00646, -0.0117 ]), 'yaxis': 'y3'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M14 ', 'type': 'scatter', 'uid': '9687c2ca-9817-4420-bf35-ea9051a71f66', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x4', 'y': array([ 0.00614, 0.00901, 0.00475, ..., -0.00626, 0.0061 , -0.0055 ]), 'yaxis': 'y4'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M21 ', 'type': 'scatter', 'uid': '8f6b2fe2-5b29-4997-a810-951f022c0553', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x5', 'y': array([0.58460385, 0.57994998, 0.58167745, ..., 0.16281466, 0.16307253, 0.16240215]), 'yaxis': 'y5'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M22 ', 'type': 'scatter', 'uid': '9cb4b75d-8fa2-4c17-ab25-ce3d59f7c039', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x6', 'y': array([0.00574, 0.00525, 0.00363, ..., 0.00277, 0.00339, 0.00394]), 'yaxis': 'y6'}, {'line': {'color': '#FF6692', 'dash': 'solid'}, 'name': 'M23 ', 'type': 'scatter', 'uid': 'c9b811cf-9587-4697-95f3-e8094da059de', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x7', 'y': array([ 0.00364, 0.00427, 0.00207, ..., 0.00457, -0.00234, 0.00653]), 'yaxis': 'y7'}, {'line': {'color': '#B6E880', 'dash': 'solid'}, 'name': 'M24 ', 'type': 'scatter', 'uid': '08751949-de01-4c8e-8366-eb7b1bcd8bd2', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x8', 'y': array([-0.01084, 0.00325, -0.01123, ..., 0.00263, -0.00227, 0.00311]), 'yaxis': 'y8'}, {'line': {'color': '#FF97FF', 'dash': 'solid'}, 'name': 'M31 ', 'type': 'scatter', 'uid': 'bfb6a1e3-ee1c-44dd-b4bc-66ba64aedc70', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x9', 'y': array([ 0.00278, 0.00634, 0.00219, ..., -0.00055, 0.00105, -0.00037]), 'yaxis': 'y9'}, {'line': {'color': '#FECB52', 'dash': 'solid'}, 'name': 'M32 ', 'type': 'scatter', 'uid': '7e0c4c4f-3f63-4c70-99f6-9333410b1c1a', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x10', 'y': array([ 0.00212, 0.00045, -0.0003 , ..., 0.0018 , 0.00042, -0.00037]), 'yaxis': 'y10'}, {'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M33 ', 'type': 'scatter', 'uid': 'ffeaf644-9c2b-41a7-9e18-208dab3d30fd', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x11', 'y': array([-1.05460026, -1.01894899, -0.99151123, ..., 0.03927327, 0.03885999, 0.03895625]), 'yaxis': 'y11'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M34 ', 'type': 'scatter', 'uid': 'c36b04c0-b9d4-4f78-b70c-16fecc4bc0c4', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x12', 'y': array([-0.56805755, -0.51478422, -0.44957042, ..., 0.06223042, 0.06284858, 0.06231669]), 'yaxis': 'y12'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M41 ', 'type': 'scatter', 'uid': '12ae6dee-15a2-4cfc-8c76-9c16991b6889', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x13', 'y': array([-0.00986, -0.00917, -0.00712, ..., 0.00585, -0.00882, 0.00692]), 'yaxis': 'y13'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M42 ', 'type': 'scatter', 'uid': '8ec1e564-5501-439f-97e8-8719f3aed425', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x14', 'y': array([-0.00048, -0.01319, -0.00891, ..., 0.01388, -0.00424, 0.0126 ]), 'yaxis': 'y14'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M43 ', 'type': 'scatter', 'uid': '276be03c-36c3-4a7d-a4e3-e295ae597503', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x15', 'y': array([ 0.56824755, 0.51927422, 0.45327042, ..., -0.05975042, -0.06006858, -0.06043669]), 'yaxis': 'y15'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M44 ', 'type': 'scatter', 'uid': '62583f26-6458-46c0-8106-5a7fe5c540d3', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x16', 'y': array([-1.03998026, -0.99600899, -0.96857123, ..., 0.03420327, 0.05051999, 0.03513625]), 'yaxis': 'y16'}], 'layout': {'template': '...', 'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]}, 'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]}, 'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]}, 'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]}, 'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]}, 'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]}, 'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]}, 'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]}, 'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]}, 'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]}, 'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]}, 'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]}, 'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]}, 'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]}, 'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]}, 'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}} }) .. GENERATED FROM PYTHON SOURCE LINES 95-96 Now we execute a fit and plot the model afterwards. .. GENERATED FROM PYTHON SOURCE LINES 96-99 .. code-block:: Python fit_stats = model.fit() model.plot(full_scale=False) .. rst-class:: sphx-glr-script-out .. code-block:: none FigureWidget({ 'data': [{'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M11 ', 'type': 'scatter', 'uid': 'a704587b-5356-4fe3-b2e2-50d3d1e9e3d3', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x', 'y': array([1., 1., 1., ..., 1., 1., 1.]), 'yaxis': 'y'}, {'line': {'color': '#636EFA', 'dash': 'dash'}, 'name': 'M11 theory', 'type': 'scatter', 'uid': '89fe7456-7ea5-45a5-b372-12383cca1011', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x', 'y': array([1., 1., 1., ..., 1., 1., 1.]), 'yaxis': 'y'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M12 ', 'type': 'scatter', 'uid': '1577e7bc-9cfa-4006-8747-1fec58183a0b', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x2', 'y': array([-0.09147, -0.10879, -0.10639, ..., -0.44245, -0.44406, -0.44381]), 'yaxis': 'y2'}, {'line': {'color': '#EF553B', 'dash': 'dash'}, 'name': 'M12 theory', 'type': 'scatter', 'uid': 'a991757b-79c7-47ab-86ed-bbfcebbb0f8e', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x2', 'y': array([-0.09081776, -0.09659845, -0.10218436, ..., -0.44726608, -0.44776779, -0.44826863]), 'yaxis': 'y2'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M13 ', 'type': 'scatter', 'uid': 'f1d0fa65-7e44-4661-b8de-e819044111e5', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x3', 'y': array([-0.01241, -0.01151, -0.00694, ..., 0.00887, -0.00646, 0.0117 ]), 'yaxis': 'y3'}, {'line': {'color': '#00CC96', 'dash': 'dash'}, 'name': 'M13 theory', 'type': 'scatter', 'uid': '06ff4d48-8365-4339-bc58-5a8bf9acd197', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x3', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y3'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M14 ', 'type': 'scatter', 'uid': 'bc5a406a-2ec1-4c00-9e34-4e64f49a2583', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x4', 'y': array([-0.00614, -0.00901, -0.00475, ..., 0.00626, -0.0061 , 0.0055 ]), 'yaxis': 'y4'}, {'line': {'color': '#AB63FA', 'dash': 'dash'}, 'name': 'M14 theory', 'type': 'scatter', 'uid': 'ab052781-d65b-4b68-baa6-89262b6b6575', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x4', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y4'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M21 ', 'type': 'scatter', 'uid': 'ae07d8b9-5e7c-41f9-ae04-d98b30af722c', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x5', 'y': array([-0.09605, -0.09754, -0.10761, ..., -0.44024, -0.44126, -0.44135]), 'yaxis': 'y5'}, {'line': {'color': '#FFA15A', 'dash': 'dash'}, 'name': 'M21 theory', 'type': 'scatter', 'uid': '751d3a01-c42e-40f1-bf43-d86ada584fd6', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x5', 'y': array([-0.09081776, -0.09659845, -0.10218436, ..., -0.44726608, -0.44776779, -0.44826863]), 'yaxis': 'y5'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M22 ', 'type': 'scatter', 'uid': 'ec953e6e-c004-488a-a9e4-ae26b4423aa3', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x6', 'y': array([0.99426, 0.99475, 0.99637, ..., 0.99723, 0.99661, 0.99606]), 'yaxis': 'y6'}, {'line': {'color': '#19D3F3', 'dash': 'dash'}, 'name': 'M22 theory', 'type': 'scatter', 'uid': 'e4cd385e-270f-4951-a4b9-ea1a395f0dd0', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x6', 'y': array([1., 1., 1., ..., 1., 1., 1.]), 'yaxis': 'y6'}, {'line': {'color': '#FF6692', 'dash': 'solid'}, 'name': 'M23 ', 'type': 'scatter', 'uid': '61e1e0d1-5a38-457f-ac4f-682e2baba442', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x7', 'y': array([-0.00364, -0.00427, -0.00207, ..., -0.00457, 0.00234, -0.00653]), 'yaxis': 'y7'}, {'line': {'color': '#FF6692', 'dash': 'dash'}, 'name': 'M23 theory', 'type': 'scatter', 'uid': 'd8550f6f-2fbd-4dff-b4fc-40860c7393d9', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x7', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y7'}, {'line': {'color': '#B6E880', 'dash': 'solid'}, 'name': 'M24 ', 'type': 'scatter', 'uid': '3175c272-02a4-4f25-b0e1-7b02f1d75cc7', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x8', 'y': array([ 0.01084, -0.00325, 0.01123, ..., -0.00263, 0.00227, -0.00311]), 'yaxis': 'y8'}, {'line': {'color': '#B6E880', 'dash': 'dash'}, 'name': 'M24 theory', 'type': 'scatter', 'uid': '22516f5b-5368-4633-8297-f5b32e4a0295', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x8', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y8'}, {'line': {'color': '#FF97FF', 'dash': 'solid'}, 'name': 'M31 ', 'type': 'scatter', 'uid': '101a6fb0-399e-465a-a9a9-2134c6307d42', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x9', 'y': array([-0.00278, -0.00634, -0.00219, ..., 0.00055, -0.00105, 0.00037]), 'yaxis': 'y9'}, {'line': {'color': '#FF97FF', 'dash': 'dash'}, 'name': 'M31 theory', 'type': 'scatter', 'uid': '8781e36b-6ec6-414a-9a0c-09b163c899ba', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x9', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y9'}, {'line': {'color': '#FECB52', 'dash': 'solid'}, 'name': 'M32 ', 'type': 'scatter', 'uid': '65b4cb7c-08a6-4f06-942f-be6eeeb391c4', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x10', 'y': array([-0.00212, -0.00045, 0.0003 , ..., -0.0018 , -0.00042, 0.00037]), 'yaxis': 'y10'}, {'line': {'color': '#FECB52', 'dash': 'dash'}, 'name': 'M32 theory', 'type': 'scatter', 'uid': '628ca2de-6a29-4e4a-841d-68f7b4d0c512', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x10', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y10'}, {'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M33 ', 'type': 'scatter', 'uid': '2738655a-8fb4-44cc-933e-8e50ae7c4ef0', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x11', 'y': array([0.27283, 0.26726, 0.2728 , ..., 0.16236, 0.16271, 0.16255]), 'yaxis': 'y11'}, {'line': {'color': '#636EFA', 'dash': 'dash'}, 'name': 'M33 theory', 'type': 'scatter', 'uid': '0d936fca-8cb4-4b2f-a98c-4ec1c4335d0c', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x11', 'y': array([0.28633493, 0.28495866, 0.28318747, ..., 0.15873433, 0.1585769 , 0.15841941]), 'yaxis': 'y11'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M34 ', 'type': 'scatter', 'uid': '31161f95-44d7-4dac-9db4-4021933891a3', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x12', 'y': array([0.95555, 0.9645 , 0.95821, ..., 0.87712, 0.87629, 0.87661]), 'yaxis': 'y12'}, {'line': {'color': '#EF553B', 'dash': 'dash'}, 'name': 'M34 theory', 'type': 'scatter', 'uid': 'fbcdf3d8-15e3-4709-83f5-460824a9a8d2', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x12', 'y': array([0.95381573, 0.95365995, 0.95360538, ..., 0.88020251, 0.87997578, 0.87974912]), 'yaxis': 'y12'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M41 ', 'type': 'scatter', 'uid': '1cc480cd-9f3b-4e3c-9f29-4d1b0d3194b9', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x13', 'y': array([ 0.00986, 0.00917, 0.00712, ..., -0.00585, 0.00882, -0.00692]), 'yaxis': 'y13'}, {'line': {'color': '#00CC96', 'dash': 'dash'}, 'name': 'M41 theory', 'type': 'scatter', 'uid': '139d3494-2ddf-4434-beba-303fca9e5f1d', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x13', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y13'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M42 ', 'type': 'scatter', 'uid': '6b1ba356-5e97-480e-9697-67503fbabdfe', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x14', 'y': array([ 0.00048, 0.01319, 0.00891, ..., -0.01388, 0.00424, -0.0126 ]), 'yaxis': 'y14'}, {'line': {'color': '#AB63FA', 'dash': 'dash'}, 'name': 'M42 theory', 'type': 'scatter', 'uid': 'a9f4de44-fd7f-4dd6-87ab-a2780147b723', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x14', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y14'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M43 ', 'type': 'scatter', 'uid': '9c55c6c8-71c8-47e0-a581-7e99833a8016', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x15', 'y': array([-0.95574, -0.96899, -0.96191, ..., -0.8796 , -0.87907, -0.87849]), 'yaxis': 'y15'}, {'line': {'color': '#FFA15A', 'dash': 'dash'}, 'name': 'M43 theory', 'type': 'scatter', 'uid': 'fdcfe819-f7bb-4774-8fae-dd1c2a7a5948', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x15', 'y': array([-0.95381573, -0.95365995, -0.95360538, ..., -0.88020251, -0.87997578, -0.87974912]), 'yaxis': 'y15'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M44 ', 'type': 'scatter', 'uid': 'f3bf8ec2-8b96-4b9b-9e59-260d83e257d9', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x16', 'y': array([0.25821, 0.24432, 0.24986, ..., 0.16743, 0.15105, 0.16637]), 'yaxis': 'y16'}, {'line': {'color': '#19D3F3', 'dash': 'dash'}, 'name': 'M44 theory', 'type': 'scatter', 'uid': 'f05cdc23-895d-4108-8ba2-0ef18753e3ea', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x16', 'y': array([0.28633493, 0.28495866, 0.28318747, ..., 0.15873433, 0.1585769 , 0.15841941]), 'yaxis': 'y16'}], 'layout': {'template': '...', 'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]}, 'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]}, 'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]}, 'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]}, 'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]}, 'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]}, 'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]}, 'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]}, 'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]}, 'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]}, 'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]}, 'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]}, 'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]}, 'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]}, 'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]}, 'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}} }) .. GENERATED FROM PYTHON SOURCE LINES 100-102 For comparison we plot the residual again to have a figure of merit for the fit quality .. GENERATED FROM PYTHON SOURCE LINES 102-104 .. code-block:: Python model.plot_residual() .. rst-class:: sphx-glr-script-out .. code-block:: none FigureWidget({ 'data': [{'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M11 ', 'type': 'scatter', 'uid': 'fc9ee090-aca8-4638-b692-d41a041201f7', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x', 'y': array([0., 0., 0., ..., 0., 0., 0.]), 'yaxis': 'y'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M12 ', 'type': 'scatter', 'uid': '9c12ce9f-07df-4e5f-9add-831ebdb3511e', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x2', 'y': array([ 0.00065224, 0.01219155, 0.00420564, ..., -0.00481608, -0.00370779, -0.00445863]), 'yaxis': 'y2'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M13 ', 'type': 'scatter', 'uid': '8835769d-8476-49d1-82d3-c333ed467858', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x3', 'y': array([ 0.01241, 0.01151, 0.00694, ..., -0.00887, 0.00646, -0.0117 ]), 'yaxis': 'y3'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M14 ', 'type': 'scatter', 'uid': '32cb4199-ad2b-4f39-853c-a9b12caf0c99', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x4', 'y': array([ 0.00614, 0.00901, 0.00475, ..., -0.00626, 0.0061 , -0.0055 ]), 'yaxis': 'y4'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M21 ', 'type': 'scatter', 'uid': '8f452259-30f5-4e94-adc4-f8b2b4f97181', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x5', 'y': array([ 0.00523224, 0.00094155, 0.00542564, ..., -0.00702608, -0.00650779, -0.00691863]), 'yaxis': 'y5'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M22 ', 'type': 'scatter', 'uid': '7b5fc835-9016-4987-bbee-bf926290b7c9', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x6', 'y': array([0.00574, 0.00525, 0.00363, ..., 0.00277, 0.00339, 0.00394]), 'yaxis': 'y6'}, {'line': {'color': '#FF6692', 'dash': 'solid'}, 'name': 'M23 ', 'type': 'scatter', 'uid': 'c802edfc-40c6-4335-b60e-12c01a1dea26', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x7', 'y': array([ 0.00364, 0.00427, 0.00207, ..., 0.00457, -0.00234, 0.00653]), 'yaxis': 'y7'}, {'line': {'color': '#B6E880', 'dash': 'solid'}, 'name': 'M24 ', 'type': 'scatter', 'uid': '1effc665-008a-4042-a1b5-fd077b472e84', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x8', 'y': array([-0.01084, 0.00325, -0.01123, ..., 0.00263, -0.00227, 0.00311]), 'yaxis': 'y8'}, {'line': {'color': '#FF97FF', 'dash': 'solid'}, 'name': 'M31 ', 'type': 'scatter', 'uid': '69ed6e2e-43b1-4e69-8159-ea8ae4d87199', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x9', 'y': array([ 0.00278, 0.00634, 0.00219, ..., -0.00055, 0.00105, -0.00037]), 'yaxis': 'y9'}, {'line': {'color': '#FECB52', 'dash': 'solid'}, 'name': 'M32 ', 'type': 'scatter', 'uid': 'b11c5724-ab15-40bf-b1e8-0d5e425b6c12', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x10', 'y': array([ 0.00212, 0.00045, -0.0003 , ..., 0.0018 , 0.00042, -0.00037]), 'yaxis': 'y10'}, {'line': {'color': '#636EFA', 'dash': 'solid'}, 'name': 'M33 ', 'type': 'scatter', 'uid': '51f10c4a-7008-4a67-ad69-d1fe8eb4704e', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x11', 'y': array([ 0.01350493, 0.01769866, 0.01038747, ..., -0.00362567, -0.0041331 , -0.00413059]), 'yaxis': 'y11'}, {'line': {'color': '#EF553B', 'dash': 'solid'}, 'name': 'M34 ', 'type': 'scatter', 'uid': 'ca481221-cdb2-4115-ae17-30208decca22', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x12', 'y': array([-0.00173427, -0.01084005, -0.00460462, ..., 0.00308251, 0.00368578, 0.00313912]), 'yaxis': 'y12'}, {'line': {'color': '#00CC96', 'dash': 'solid'}, 'name': 'M41 ', 'type': 'scatter', 'uid': '635adf23-6afd-422d-ad74-6f8335d7da0d', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x13', 'y': array([-0.00986, -0.00917, -0.00712, ..., 0.00585, -0.00882, 0.00692]), 'yaxis': 'y13'}, {'line': {'color': '#AB63FA', 'dash': 'solid'}, 'name': 'M42 ', 'type': 'scatter', 'uid': 'e374146f-a030-49f8-a4ec-ce8251677b5b', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x14', 'y': array([-0.00048, -0.01319, -0.00891, ..., 0.01388, -0.00424, 0.0126 ]), 'yaxis': 'y14'}, {'line': {'color': '#FFA15A', 'dash': 'solid'}, 'name': 'M43 ', 'type': 'scatter', 'uid': 'f40ee08a-a6de-4da4-92f3-1fe81dae8409', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x15', 'y': array([ 0.00192427, 0.01533005, 0.00830462, ..., -0.00060251, -0.00090578, -0.00125912]), 'yaxis': 'y15'}, {'line': {'color': '#19D3F3', 'dash': 'solid'}, 'name': 'M44 ', 'type': 'scatter', 'uid': '7bdff97d-3a53-4e30-9c34-0d6fafd4d211', 'x': array([210.30366, 210.76102, 211.21834, ..., 818.9224 , 819.33886, 819.75528]), 'xaxis': 'x16', 'y': array([ 0.02812493, 0.04063866, 0.03332747, ..., -0.00869567, 0.0075269 , -0.00795059]), 'yaxis': 'y16'}], 'layout': {'template': '...', 'xaxis': {'anchor': 'y', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis10': {'anchor': 'y10', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis11': {'anchor': 'y11', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis12': {'anchor': 'y12', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis13': {'anchor': 'y13', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis14': {'anchor': 'y14', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis15': {'anchor': 'y15', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis16': {'anchor': 'y16', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis2': {'anchor': 'y2', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis3': {'anchor': 'y3', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis4': {'anchor': 'y4', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis5': {'anchor': 'y5', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'xaxis6': {'anchor': 'y6', 'domain': [0.2625, 0.475], 'matches': 'x'}, 'xaxis7': {'anchor': 'y7', 'domain': [0.525, 0.7375], 'matches': 'x'}, 'xaxis8': {'anchor': 'y8', 'domain': [0.7875, 1.0], 'matches': 'x'}, 'xaxis9': {'anchor': 'y9', 'domain': [0.0, 0.2125], 'matches': 'x'}, 'yaxis': {'anchor': 'x', 'domain': [0.80625, 1.0]}, 'yaxis10': {'anchor': 'x10', 'domain': [0.26875, 0.4625]}, 'yaxis11': {'anchor': 'x11', 'domain': [0.26875, 0.4625]}, 'yaxis12': {'anchor': 'x12', 'domain': [0.26875, 0.4625]}, 'yaxis13': {'anchor': 'x13', 'domain': [0.0, 0.19375]}, 'yaxis14': {'anchor': 'x14', 'domain': [0.0, 0.19375]}, 'yaxis15': {'anchor': 'x15', 'domain': [0.0, 0.19375]}, 'yaxis16': {'anchor': 'x16', 'domain': [0.0, 0.19375]}, 'yaxis2': {'anchor': 'x2', 'domain': [0.80625, 1.0]}, 'yaxis3': {'anchor': 'x3', 'domain': [0.80625, 1.0]}, 'yaxis4': {'anchor': 'x4', 'domain': [0.80625, 1.0]}, 'yaxis5': {'anchor': 'x5', 'domain': [0.5375, 0.73125]}, 'yaxis6': {'anchor': 'x6', 'domain': [0.5375, 0.73125]}, 'yaxis7': {'anchor': 'x7', 'domain': [0.5375, 0.73125]}, 'yaxis8': {'anchor': 'x8', 'domain': [0.5375, 0.73125]}, 'yaxis9': {'anchor': 'x9', 'domain': [0.26875, 0.4625]}} }) .. GENERATED FROM PYTHON SOURCE LINES 105-106 We may also print the fit statistics. .. GENERATED FROM PYTHON SOURCE LINES 106-108 .. code-block:: Python fit_stats .. raw:: html

Fit Result



.. GENERATED FROM PYTHON SOURCE LINES 109-113 References ---------- `Here `_ you can find the latest jupyter notebook and data files of this example. .. rst-class:: sphx-glr-timing **Total running time of the script:** (0 minutes 24.448 seconds) .. _sphx_glr_download_auto_examples_plot_SiO2_Si_MM.py: .. only:: html .. container:: sphx-glr-footer sphx-glr-footer-example .. container:: sphx-glr-download sphx-glr-download-jupyter :download:`Download Jupyter notebook: plot_SiO2_Si_MM.ipynb ` .. container:: sphx-glr-download sphx-glr-download-python :download:`Download Python source code: plot_SiO2_Si_MM.py ` .. container:: sphx-glr-download sphx-glr-download-zip :download:`Download zipped: plot_SiO2_Si_MM.zip `