{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "# Collinear spin and magnetic systems\n",
    "\n",
    "In this example we consider iron in the BCC phase.\n",
    "To show that this material is ferromagnetic we will model it once\n",
    "allowing collinear spin polarization and once without\n",
    "and compare the resulting SCF energies. In particular\n",
    "the ground state can only be found if collinear spins are allowed.\n",
    "\n",
    "First we setup BCC iron without spin polarization\n",
    "using a single iron atom inside the unit cell."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "using DFTK\n",
    "\n",
    "a = 5.42352  # Bohr\n",
    "lattice = a / 2 * [[-1  1  1];\n",
    "                   [ 1 -1  1];\n",
    "                   [ 1  1 -1]]\n",
    "Fe = ElementPsp(:Fe, psp=load_psp(\"hgh/lda/Fe-q8.hgh\"))\n",
    "atoms = [Fe => [zeros(3)]];"
   ],
   "metadata": {},
   "execution_count": 1
  },
  {
   "cell_type": "markdown",
   "source": [
    "To get the ground-state energy we use an LDA model and rather moderate\n",
    "discretisation parameters."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Free energy       Eₙ-Eₙ₋₁     ρout-ρin   Diag\n",
      "---   ---------------   ---------   --------   ----\n",
      "  1   -16.64723112292         NaN   3.28e-01    4.8 \n",
      "  2   -16.64777556928   -5.44e-04   7.79e-02    1.0 \n",
      "  3   -16.64782711335   -5.15e-05   3.28e-03    1.5 \n",
      "  4   -16.64783286415   -5.75e-06   1.84e-03    3.2 \n",
      "  5   -16.64783419459   -1.33e-06   3.71e-04    1.2 \n",
      "  6   -16.64783430556   -1.11e-07   9.36e-05    2.0 \n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "kgrid = [3, 3, 3]  # k-point grid (Regular Monkhorst-Pack grid)\n",
    "Ecut = 15          # kinetic energy cutoff in Hartree\n",
    "model_nospin = model_LDA(lattice, atoms, temperature=0.01)\n",
    "basis_nospin = PlaneWaveBasis(model_nospin, Ecut; kgrid=kgrid)\n",
    "\n",
    "scfres_nospin = self_consistent_field(basis_nospin, tol=1e-6, mixing=KerkerMixing());"
   ],
   "metadata": {},
   "execution_count": 2
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Energy breakdown:\n    Kinetic             15.9218083\n    AtomicLocal         -5.0697825\n    AtomicNonlocal      -5.2208194\n    Ewald               -21.4723040\n    PspCorrection       1.8758831 \n    Hartree             0.7794729 \n    Xc                  -3.4438047\n    Entropy             -0.0182880\n\n    total               -16.647834305556\n"
     },
     "metadata": {},
     "execution_count": 3
    }
   ],
   "cell_type": "code",
   "source": [
    "scfres_nospin.energies"
   ],
   "metadata": {},
   "execution_count": 3
  },
  {
   "cell_type": "markdown",
   "source": [
    "Since we did not specify any initial magnetic moment on the iron atom,\n",
    "DFTK will automatically assume that a calculation with only spin-paired\n",
    "electrons should be performed. As a result the obtained ground state\n",
    "features no spin-polarization."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "Now we repeat the calculation, but give the iron atom an initial magnetic moment.\n",
    "For specifying the magnetic moment pass the desired excess of spin-up over spin-down\n",
    "electrons at each centre to the `Model` and the guess density functions.\n",
    "In this case we seek the state with as many spin-parallel\n",
    "``d``-electrons as possible. In our pseudopotential model the 8 valence\n",
    "electrons are 2 pair of ``s``-electrons, 1 pair of ``d``-electrons\n",
    "and 4 unpaired ``d``-electrons giving a desired magnetic moment of `4` at the iron centre.\n",
    "The structure (i.e. pair mapping and order) of the `magnetic_moments` array needs to agree\n",
    "with the `atoms` array and `0` magnetic moments need to be specified as well."
   ],
   "metadata": {}
  },
  {
   "outputs": [],
   "cell_type": "code",
   "source": [
    "magnetic_moments = [Fe => [4, ]];"
   ],
   "metadata": {},
   "execution_count": 4
  },
  {
   "cell_type": "markdown",
   "source": [
    "!!! tip \"Units of the magnetisation and magnetic moments in DFTK\"\n",
    "    Unlike all other quantities magnetisation and magnetic moments in DFTK\n",
    "    are given in units of the Bohr magneton ``μ_B``, which in atomic units has the\n",
    "    value ``\\frac{1}{2}``. Since ``μ_B`` is (roughly) the magnetic moment of\n",
    "    a single electron the advantage is that one can directly think of these\n",
    "    quantities as the excess of spin-up electrons or spin-up electron density.\n",
    "\n",
    "We repeat the calculation using the same model as before. DFTK now detects\n",
    "the non-zero moment and switches to a collinear calculation."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "n     Free energy       Eₙ-Eₙ₋₁     ρout-ρin   Magnet   Diag\n",
      "---   ---------------   ---------   --------   ------   ----\n",
      "  1   -16.65997102734         NaN   3.41e-01    2.620    4.4 \n",
      "  2   -16.66625954622   -6.29e-03   6.92e-02    2.428    1.0 \n",
      "  3   -16.66693996753   -6.80e-04   8.42e-03    2.349    2.2 \n",
      "  4   -16.66698655430   -4.66e-05   3.60e-03    2.320    2.2 \n",
      "  5   -16.66699461274   -8.06e-06   6.68e-04    2.309    1.8 \n",
      "  6   -16.66699628698   -1.67e-06   3.58e-04    2.301    2.0 \n",
      "  7   -16.66699652132   -2.34e-07   2.50e-05    2.297    1.9 \n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "model  = model_LDA(lattice, atoms, magnetic_moments=magnetic_moments, temperature=0.01)\n",
    "basis  = PlaneWaveBasis(model, Ecut; kgrid=kgrid)\n",
    "ρspin  = guess_spin_density(basis, magnetic_moments)\n",
    "scfres = self_consistent_field(basis, tol=1e-6, ρspin=ρspin, mixing=KerkerMixing());"
   ],
   "metadata": {},
   "execution_count": 5
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Energy breakdown:\n    Kinetic             16.3014873\n    AtomicLocal         -5.2260189\n    AtomicNonlocal      -5.4135707\n    Ewald               -21.4723040\n    PspCorrection       1.8758831 \n    Hartree             0.8201286 \n    Xc                  -3.5395226\n    Entropy             -0.0130791\n\n    total               -16.666996521320\n"
     },
     "metadata": {},
     "execution_count": 6
    }
   ],
   "cell_type": "code",
   "source": [
    "scfres.energies"
   ],
   "metadata": {},
   "execution_count": 6
  },
  {
   "cell_type": "markdown",
   "source": [
    "!!! note \"Model and magnetic moments\"\n",
    "    DFTK does not store the `magnetic_moments` inside the `Model`, but only uses them\n",
    "    to determine the lattice symmetries. This step was taken to keep `Model`\n",
    "    (which contains the physical model) independent of the details of the numerical details\n",
    "    such as the initial guess for the spin density.\n",
    "\n",
    "In direct comparison we notice the first, spin-paired calculation to be\n",
    "a little higher in energy"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "No magnetization: -16.647834305556458\n",
      "Magnetic case:    -16.666996521319977\n",
      "Difference:       -0.01916221576351873\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "println(\"No magnetization: \", scfres_nospin.energies.total)\n",
    "println(\"Magnetic case:    \", scfres.energies.total)\n",
    "println(\"Difference:       \", scfres.energies.total - scfres_nospin.energies.total);"
   ],
   "metadata": {},
   "execution_count": 7
  },
  {
   "cell_type": "markdown",
   "source": [
    "Notice that with the small cutoffs we use to generate the online\n",
    "documentation the calculation is far from converged.\n",
    "With more realistic parameters a larger energy difference of about\n",
    "0.1 Hartree is obtained."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "The spin polarization in the magnetic case is visible if we\n",
    "consider the occupation of the spin-up and spin-down Kohn-Sham orbitals.\n",
    "Especially for the ``d``-orbitals these differ rather drastically.\n",
    "For example for the first ``k``-point:"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(scfres.occupation[iup])[1:7] = [1.0, 0.9999988139307227, 0.9999988139238797, 0.9999988138884894, 0.9585666239659136, 0.9585662084799097, 1.1539794872050964e-29]\n",
      "(scfres.occupation[idown])[1:7] = [1.0, 0.8327041610803093, 0.8327013890648075, 0.8327004608750675, 7.841484055954821e-6, 7.841274754554598e-6, 1.5498438558722718e-32]\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "iup   = 1\n",
    "idown = iup + length(scfres.basis.kpoints) ÷ 2\n",
    "@show scfres.occupation[iup][1:7]\n",
    "@show scfres.occupation[idown][1:7];"
   ],
   "metadata": {},
   "execution_count": 8
  },
  {
   "cell_type": "markdown",
   "source": [
    "Similarly the eigenvalues differ"
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "(scfres.eigenvalues[iup])[1:7] = [-0.06926582339510311, 0.3568833836300504, 0.35688344132465444, 0.3568837397019525, 0.46191850695212083, 0.46191861156416547, 1.1596495432770135]\n",
      "(scfres.eigenvalues[idown])[1:7] = [-0.030407732808293324, 0.4772828832880805, 0.4772830822715072, 0.4772831488991082, 0.6108927763056582, 0.61089304322686, 1.2257777181151608]\n"
     ]
    }
   ],
   "cell_type": "code",
   "source": [
    "@show scfres.eigenvalues[iup][1:7]\n",
    "@show scfres.eigenvalues[idown][1:7];"
   ],
   "metadata": {},
   "execution_count": 9
  },
  {
   "cell_type": "markdown",
   "source": [
    "!!! note \"k-points in collinear calculations\"\n",
    "    For collinear calculations the `kpoints` field of the `PlaneWaveBasis` object contains\n",
    "    each ``k``-point coordinate twice, once associated with spin-up and once with down-down.\n",
    "    The list first contains all spin-up ``k``-points and then all spin-down ``k``-points,\n",
    "    such that `iup` and `idown` index the same ``k``-point, but differing spins."
   ],
   "metadata": {}
  },
  {
   "cell_type": "markdown",
   "source": [
    "We can observe the spin-polarization by looking at the density of states (DOS)\n",
    "around the Fermi level, where the spin-up and spin-down DOS differ."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=3}",
      "image/png": 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       "  267.061,1445.72 269.149,1445.72 271.237,1445.72 273.325,1445.72 275.412,1445.72 277.5,1445.72 279.588,1445.72 281.676,1445.72 283.764,1445.72 285.852,1445.72 \n",
       "  287.939,1445.72 290.027,1445.72 292.115,1445.72 294.203,1445.72 296.291,1445.72 298.379,1445.72 300.467,1445.72 302.554,1445.72 304.642,1445.72 306.73,1445.72 \n",
       "  308.818,1445.72 310.906,1445.72 312.994,1445.72 315.081,1445.72 317.169,1445.72 319.257,1445.72 321.345,1445.72 323.433,1445.72 325.521,1445.72 327.609,1445.72 \n",
       "  329.696,1445.72 331.784,1445.72 333.872,1445.72 335.96,1445.72 338.048,1445.72 340.136,1445.72 342.223,1445.72 344.311,1445.72 346.399,1445.72 348.487,1445.72 \n",
       "  350.575,1445.72 352.663,1445.72 354.751,1445.72 356.838,1445.72 358.926,1445.72 361.014,1445.72 363.102,1445.72 365.19,1445.72 367.278,1445.72 369.365,1445.72 \n",
       "  371.453,1445.72 373.541,1445.72 375.629,1445.72 377.717,1445.72 379.805,1445.72 381.893,1445.72 383.98,1445.72 386.068,1445.72 388.156,1445.72 390.244,1445.72 \n",
       "  392.332,1445.72 394.42,1445.72 396.507,1445.72 398.595,1445.72 400.683,1445.72 402.771,1445.72 404.859,1445.72 406.947,1445.72 409.035,1445.72 411.122,1445.72 \n",
       "  413.21,1445.72 415.298,1445.72 417.386,1445.72 419.474,1445.72 421.562,1445.72 423.649,1445.72 425.737,1445.72 427.825,1445.72 429.913,1445.72 432.001,1445.72 \n",
       "  434.089,1445.72 436.177,1445.72 438.264,1445.72 440.352,1445.72 442.44,1445.72 444.528,1445.72 446.616,1445.72 448.704,1445.72 450.791,1445.72 452.879,1445.72 \n",
       "  454.967,1445.72 457.055,1445.72 459.143,1445.72 461.231,1445.72 463.318,1445.72 465.406,1445.72 467.494,1445.72 469.582,1445.72 471.67,1445.72 473.758,1445.72 \n",
       "  475.846,1445.71 477.933,1445.71 480.021,1445.71 482.109,1445.71 484.197,1445.71 486.285,1445.71 488.373,1445.71 490.46,1445.71 492.548,1445.71 494.636,1445.7 \n",
       "  496.724,1445.7 498.812,1445.7 500.9,1445.69 502.988,1445.68 505.075,1445.67 507.163,1445.65 509.251,1445.63 511.339,1445.6 513.427,1445.56 515.515,1445.5 \n",
       "  517.602,1445.43 519.69,1445.33 521.778,1445.2 523.866,1445.03 525.954,1444.8 528.042,1444.5 530.13,1444.09 532.217,1443.56 534.305,1442.86 536.393,1441.95 \n",
       "  538.481,1440.77 540.569,1439.27 542.657,1437.39 544.744,1435.08 546.832,1432.33 548.92,1429.17 551.008,1425.73 553.096,1422.23 555.184,1418.98 557.272,1416.38 \n",
       "  559.359,1414.79 561.447,1414.46 563.535,1415.45 565.623,1417.59 567.711,1420.57 569.799,1423.99 571.886,1427.5 573.974,1430.81 576.062,1433.77 578.15,1436.29 \n",
       "  580.238,1438.38 582.326,1440.06 584.414,1441.38 586.501,1442.41 588.589,1443.19 590.677,1443.79 592.765,1444.23 594.853,1444.56 596.941,1444.79 599.028,1444.94 \n",
       "  601.116,1445.02 603.204,1445.05 605.292,1445.02 607.38,1444.93 609.468,1444.77 611.556,1444.53 613.643,1444.19 615.731,1443.72 617.819,1443.08 619.907,1442.21 \n",
       "  621.995,1441.04 624.083,1439.47 626.17,1437.39 628.258,1434.6 630.346,1430.9 632.434,1426 634.522,1419.53 636.61,1411.04 638.698,1399.99 640.785,1385.72 \n",
       "  642.873,1367.55 644.961,1344.77 647.049,1316.86 649.137,1283.64 651.225,1245.6 653.312,1204.23 655.4,1162.22 657.488,1123.5 659.576,1092.69 661.664,1074.17 \n",
       "  663.752,1070.86 665.839,1083.32 667.927,1109.51 670.015,1145.52 672.103,1186.68 674.191,1228.7 676.279,1268.35 678.367,1303.64 680.454,1333.72 682.542,1358.53 \n",
       "  684.63,1378.46 686.718,1394.18 688.806,1406.36 690.894,1415.68 692.981,1422.72 695.069,1427.94 697.157,1431.73 699.245,1434.37 701.333,1436.06 703.421,1436.94 \n",
       "  705.509,1437.09 707.596,1436.5 709.684,1435.15 711.772,1432.95 713.86,1429.72 715.948,1425.27 718.036,1419.32 720.123,1411.55 722.211,1401.62 724.299,1389.21 \n",
       "  726.387,1374.11 728.475,1356.35 730.563,1336.34 732.651,1315.06 734.738,1294.1 736.826,1275.56 738.914,1261.73 741.002,1254.53 743.09,1254.89 745.178,1262.42 \n",
       "  747.265,1275.53 749.353,1291.85 751.441,1308.8 753.529,1324.11 755.617,1335.97 757.705,1343.1 759.793,1344.54 761.88,1339.48 763.968,1327.1 766.056,1306.47 \n",
       "  768.144,1276.53 770.232,1236.15 772.32,1184.41 774.407,1120.93 776.495,1046.46 778.583,963.473 780.671,876.699 782.759,793.113 784.847,721.177 786.935,669.118 \n",
       "  789.022,642.684 791.11,643.232 793.198,667.089 795.286,706.544 797.374,752.012 799.462,794.445 801.549,827.17 803.637,846.822 805.725,853.449 807.813,850.02 \n",
       "  809.901,841.566 811.989,834.118 814.077,833.562 816.164,844.547 818.252,869.563 820.34,908.429 822.428,958.394 824.516,1014.89 826.604,1072.71 828.691,1127.04 \n",
       "  830.779,1174.19 832.867,1211.76 834.955,1238.44 837.043,1253.69 839.131,1257.43 841.219,1249.85 843.306,1231.39 845.394,1202.94 847.482,1166.11 849.57,1123.56 \n",
       "  851.658,1079.24 853.746,1038.13 855.833,1005.7 857.921,986.72 860.009,984.17 862.097,998.455 864.185,1027.44 866.273,1067.15 868.36,1112.82 870.448,1159.81 \n",
       "  872.536,1204.32 874.624,1243.65 876.712,1276.13 878.8,1300.93 880.888,1317.77 882.975,1326.63 885.063,1327.54 887.151,1320.46 889.239,1305.29 891.327,1281.95 \n",
       "  893.415,1250.55 895.502,1211.71 897.59,1166.88 899.678,1118.53 901.766,1070.13 903.854,1025.64 905.942,988.528 908.03,960.54 910.117,940.887 912.205,926.161 \n",
       "  914.293,911.234 916.381,890.74 918.469,860.628 920.557,819.316 922.644,768.215 924.732,711.465 926.82,654.87 928.908,604.187 930.996,563.277 933.084,532.853 \n",
       "  935.172,510.384 937.259,491.07 939.347,469.296 941.435,439.937 943.523,399.342 945.611,346.192 947.699,282.43 949.786,213.982 951.874,150.662 953.962,104.703 \n",
       "  956.05,87.9763 958.138,108.786 960.226,169.519 962.314,266.108 964.401,389.389 966.489,527.603 968.577,669.053 970.665,804.106 972.753,926.172 974.841,1031.75 \n",
       "  976.928,1119.87 979.016,1191.26 981.104,1247.63 983.192,1291.05 985.28,1323.59 987.368,1347.04 989.456,1362.9 991.543,1372.27 993.631,1375.91 995.719,1374.3 \n",
       "  997.807,1367.65 999.895,1356.09 1001.98,1339.75 1004.07,1319 1006.16,1294.63 1008.25,1268.16 1010.33,1241.87 1012.42,1218.73 1014.51,1201.92 1016.6,1194.1 \n",
       "  1018.69,1196.64 1020.77,1209.19 1022.86,1229.81 1024.95,1255.58 1027.04,1283.41 1029.12,1310.68 1031.21,1335.56 1033.3,1357.04 1035.39,1374.73 1037.48,1388.67 \n",
       "  1039.56,1399.12 1041.65,1406.4 1043.74,1410.8 1045.83,1412.51 1047.92,1411.57 1050,1407.89 1052.09,1401.21 1054.18,1391.08 1056.27,1376.88 1058.35,1357.85 \n",
       "  1060.44,1333.15 1062.53,1301.93 1064.62,1263.61 1066.71,1218.15 1068.79,1166.49 1070.88,1110.94 1072.97,1055.5 1075.06,1005.69 1077.15,967.74 1079.23,947.199 \n",
       "  1081.32,947.361 1083.41,968.192 1085.5,1006.34 1087.58,1056.22 1089.67,1111.58 1091.76,1166.94 1093.85,1218.31 1095.94,1263.37 1098.02,1301.21 1100.11,1331.84 \n",
       "  1102.2,1355.82 1104.29,1373.92 1106.37,1386.95 1108.46,1395.56 1110.55,1400.26 1112.64,1401.35 1114.73,1398.91 1116.81,1392.82 1118.9,1382.77 1120.99,1368.3 \n",
       "  1123.08,1348.84 1125.17,1323.86 1127.25,1293.04 1129.34,1256.5 1131.43,1215.19 1133.52,1171.13 1135.6,1127.56 1137.69,1088.64 1139.78,1058.73 1141.87,1041.18 \n",
       "  1143.96,1037.24 1146.04,1045.45 1148.13,1062 1150.22,1081.7 1152.31,1099.33 1154.4,1110.66 1156.48,1113.16 1158.57,1106.3 1160.66,1091.57 1162.75,1072.35 \n",
       "  1164.83,1053.45 1166.92,1040.24 1169.01,1037.41 1171.1,1047.75 1173.19,1071.43 1175.27,1106.09 1177.36,1147.74 1179.45,1191.99 1181.54,1235.05 1183.63,1274.24 \n",
       "  1185.71,1308.09 1187.8,1336.06 1189.89,1358.29 1191.98,1375.22 1194.06,1387.43 1196.15,1395.44 1198.24,1399.7 1200.33,1400.49 1202.42,1397.94 1204.5,1392.09 \n",
       "  1206.59,1382.89 1208.68,1370.35 1210.77,1354.64 1212.85,1336.25 1214.94,1316.19 1217.03,1296.08 1219.12,1278.04 1221.21,1264.47 1223.29,1257.43 1225.38,1258.09 \n",
       "  1227.47,1266.37 1229.56,1280.94 1231.65,1299.66 1233.73,1320.18 1235.82,1340.45 1237.91,1358.97 1240,1374.86 1242.08,1387.73 1244.17,1397.51 1246.26,1404.3 \n",
       "  1248.35,1408.2 1250.44,1409.29 1252.52,1407.51 1254.61,1402.66 1256.7,1394.33 1258.79,1381.89 1260.88,1364.47 1262.96,1340.95 1265.05,1309.93 1267.14,1269.86 \n",
       "  1269.23,1219.11 1271.31,1156.25 1273.4,1080.51 1275.49,992.31 1277.58,893.934 1279.67,790.109 1281.75,688.16 1283.84,597.471 1285.93,528.093 1288.02,488.744 \n",
       "  1290.11,484.75 1292.19,516.684 1294.28,580.212 1296.37,667.21 1298.46,767.721 1300.54,872.051 1302.63,972.33 1304.72,1063.26 1306.81,1142.06 1308.9,1208 \n",
       "  1310.98,1261.7 1313.07,1304.5 1315.16,1338.09 1317.25,1364.11 1319.34,1384.08 1321.42,1399.31 1323.51,1410.85 1325.6,1419.57 1327.69,1426.13 1329.77,1431.06 \n",
       "  1331.86,1434.76 1333.95,1437.53 1336.04,1439.6 1338.13,1441.15 1340.21,1442.3 1342.3,1443.17 1344.39,1443.81 1346.48,1444.3 1348.56,1444.65 1350.65,1444.92 \n",
       "  1352.74,1445.12 1354.83,1445.27 1356.92,1445.38 1359,1445.46 1361.09,1445.52 1363.18,1445.56 1365.27,1445.59 1367.36,1445.61 1369.44,1445.61 1371.53,1445.61 \n",
       "  1373.62,1445.6 1375.71,1445.58 1377.79,1445.55 1379.88,1445.51 1381.97,1445.45 1384.06,1445.36 1386.15,1445.24 1388.23,1445.09 1390.32,1444.87 1392.41,1444.59 \n",
       "  1394.5,1444.21 1396.59,1443.7 1398.67,1443.02 1400.76,1442.11 1402.85,1440.9 1404.94,1439.29 1407.02,1437.15 1409.11,1434.32 1411.2,1430.59 1413.29,1425.7 \n",
       "  1415.38,1419.34 1417.46,1411.14 1419.55,1400.71 1421.64,1387.64 1423.73,1371.6 1425.82,1352.4 1427.9,1330.16 1429.99,1305.34 1432.08,1278.87 1434.17,1252.15 \n",
       "  1436.25,1226.88 1438.34,1204.94 1440.43,1188.15 1442.52,1178.03 1444.61,1175.56 1446.69,1180.83 1448.78,1192.89 1450.87,1209.83 1452.96,1229.14 1455.05,1248.31 \n",
       "  1457.13,1265.42 1459.22,1279.41 1461.31,1290.25 1463.4,1298.71 1465.48,1306.11 1467.57,1313.83 1469.66,1322.94 1471.75,1333.86 1473.84,1346.37 1475.92,1359.78 \n",
       "  1478.01,1373.18 1480.1,1385.78 1482.19,1396.99 1484.27,1406.52 1486.36,1414.26 1488.45,1420.28 1490.54,1424.71 1492.63,1427.67 1494.71,1429.3 1496.8,1429.63 \n",
       "  1498.89,1428.67 1500.98,1426.31 1503.07,1422.36 1505.15,1416.53 1507.24,1408.39 1509.33,1397.41 1511.42,1382.9 1513.5,1364.09 1515.59,1340.12 1517.68,1310.22 \n",
       "  1519.77,1273.85 1521.86,1230.97 1523.94,1182.43 1526.03,1130.19 1528.12,1077.54 1530.21,1028.75 1532.3,988.423 1534.38,960.423 1536.47,947.007 1538.56,948.448 \n",
       "  1540.65,963.373 1542.73,989.478 1544.82,1024.14 1546.91,1064.67 1549,1108.32 1551.09,1152.27 1553.17,1193.81 1555.26,1230.59 1557.35,1260.81 1559.44,1283.23 \n",
       "  1561.53,1297.04 1563.61,1301.67 1565.7,1296.54 1567.79,1280.9 1569.88,1253.78 1571.96,1214.02 1574.05,1160.43 1576.14,1092.15 1578.23,1009.23 1580.32,913.367 \n",
       "  1582.4,808.587 1584.49,701.718 1586.58,602.025 1588.67,519.76 1590.75,463.742 1592.84,438.79 1594.93,444.266 1597.02,474.594 1599.11,521.595 1601.19,577.46 \n",
       "  1603.28,636.973 1605.37,698.161 1607.46,761.396 1609.55,827.695 1611.63,897.181 1613.72,968.403 1615.81,1038.63 1617.9,1104.71 1619.98,1163.9 1622.07,1214.35 \n",
       "  1624.16,1255.19 1626.25,1286.31 1628.34,1308.06 1630.42,1321.03 1632.51,1325.81 1634.6,1323 1636.69,1313.27 1638.78,1297.47 1640.86,1276.89 1642.95,1253.47 \n",
       "  1645.04,1229.86 1647.13,1209.3 1649.21,1195.07 1651.3,1189.76 1653.39,1194.54 1655.48,1208.79 1657.57,1230.38 1659.65,1256.28 1661.74,1283.41 1663.83,1309.21 \n",
       "  1665.92,1331.91 1668.01,1350.47 1670.09,1364.42 1672.18,1373.62 1674.27,1378.07 1676.36,1377.72 1678.44,1372.42 1680.53,1361.88 1682.62,1345.69 1684.71,1323.35 \n",
       "  1686.8,1294.52 1688.88,1259.16 1690.97,1217.93 1693.06,1172.51 1695.15,1125.86 1697.24,1082.15 1699.32,1046.26 1701.41,1022.76 1703.5,1014.65 1705.59,1022.45 \n",
       "  1707.67,1044.13 1709.76,1075.8 1711.85,1113.02 1713.94,1151.9 1716.03,1189.69 1718.11,1224.81 1720.2,1256.5 1722.29,1284.37 1724.38,1308.12 1726.46,1327.46 \n",
       "  1728.55,1342.05 1730.64,1351.58 1732.73,1355.77 1734.82,1354.32 1736.9,1346.88 1738.99,1333.08 1741.08,1312.56 1743.17,1285.13 1745.26,1250.98 1747.34,1211.02 \n",
       "  1749.43,1167.18 1751.52,1122.55 1753.61,1081.23 1755.69,1047.63 1757.78,1025.36 1759.87,1016.18 1761.96,1019.36 1764.05,1031.99 1766.13,1050.05 1768.22,1069.77 \n",
       "  1770.31,1088.68 1772.4,1106.02 1774.49,1122.47 1776.57,1139.29 1778.66,1157.49 1780.75,1177.12 1782.84,1197.14 1784.92,1215.75 1787.01,1231.01 1789.1,1241.4 \n",
       "  1791.19,1246.25 1793.28,1245.89 1795.36,1241.72 1797.45,1236.02 1799.54,1231.5 1801.63,1230.76 1803.72,1235.6 1805.8,1246.54 1807.89,1262.73 1809.98,1282.36 \n",
       "  1812.07,1303.17 1814.15,1323.04 1816.24,1340.3 1818.33,1353.82 1820.42,1362.9 1822.51,1367.08 1824.59,1365.99 1826.68,1359.2 1828.77,1346.13 1830.86,1325.98 \n",
       "  1832.95,1297.84 1835.03,1260.7 1837.12,1213.72 1839.21,1156.58 1841.3,1089.83 1843.38,1015.42 1845.47,936.909 1847.56,859.361 1849.65,788.579 1851.74,729.917 \n",
       "  1853.82,687.056 1855.91,661.388 1858,652.288 1860.09,657.956 1862.17,676.154 1864.26,704.397 1866.35,739.746 1868.44,778.75 1870.53,817.883 1872.61,854.352 \n",
       "  1874.7,886.764 1876.79,915.188 1878.88,940.545 1880.97,963.636 1883.05,984.356 1885.14,1001.52 1887.23,1013.41 1889.32,1018.67 1891.4,1017.3 1893.49,1011.13 \n",
       "  1895.58,1003.86 1897.67,1000.26 1899.76,1004.94 1901.84,1021.02 1903.93,1049.14 1906.02,1087.43 1908.11,1132.29 1910.2,1179.52 1912.28,1225.44 1914.37,1267.4 \n",
       "  1916.46,1303.96 1918.55,1334.65 1920.63,1359.69 1922.72,1379.68 1924.81,1395.37 1926.9,1407.54 1928.99,1416.88 1931.07,1424 1933.16,1429.4 1935.25,1433.48 \n",
       "  1937.34,1436.55 1939.43,1438.86 1941.51,1440.59 1943.6,1441.88 1945.69,1442.85 1947.78,1443.58 1949.86,1444.12 1951.95,1444.52 1954.04,1444.83 1956.13,1445.05 \n",
       "  1958.22,1445.22 1960.3,1445.35 1962.39,1445.44 1964.48,1445.51 1966.57,1445.56 1968.65,1445.6 1970.74,1445.63 1972.83,1445.65 1974.92,1445.67 1977.01,1445.68 \n",
       "  1979.09,1445.69 1981.18,1445.7 1983.27,1445.7 1985.36,1445.7 1987.45,1445.71 1989.53,1445.71 1991.62,1445.71 1993.71,1445.71 1995.8,1445.71 1997.88,1445.71 \n",
       "  1999.97,1445.71 2002.06,1445.71 2004.15,1445.71 2006.24,1445.72 2008.32,1445.72 2010.41,1445.72 2012.5,1445.72 2014.59,1445.72 2016.68,1445.72 2018.76,1445.72 \n",
       "  2020.85,1445.72 2022.94,1445.72 2025.03,1445.72 2027.11,1445.72 2029.2,1445.72 2031.29,1445.72 2033.38,1445.72 2035.47,1445.72 2037.55,1445.72 2039.64,1445.72 \n",
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       "  1874.7,1346.42 1876.79,1326.49 1878.88,1298.11 1880.97,1260.01 1883.05,1210.95 1885.14,1149.93 1887.23,1076.77 1889.32,992.603 1891.4,900.61 1893.49,806.401 \n",
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       "  1979.09,1213.52 1981.18,1254.68 1983.27,1291.88 1985.36,1323.97 1987.45,1350.69 1989.53,1372.33 1991.62,1389.52 1993.71,1402.95 1995.8,1413.33 1997.88,1421.28 \n",
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       "  1227.47,1266.37 1229.56,1280.94 1231.65,1299.66 1233.73,1320.18 1235.82,1340.45 1237.91,1358.97 1240,1374.86 1242.08,1387.73 1244.17,1397.51 1246.26,1404.3 \n",
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       "  1498.89,1428.67 1500.98,1426.31 1503.07,1422.36 1505.15,1416.53 1507.24,1408.39 1509.33,1397.41 1511.42,1382.9 1513.5,1364.09 1515.59,1340.12 1517.68,1310.22 \n",
       "  1519.77,1273.85 1521.86,1230.97 1523.94,1182.43 1526.03,1130.19 1528.12,1077.54 1530.21,1028.75 1532.3,988.423 1534.38,960.423 1536.47,947.007 1538.56,948.448 \n",
       "  1540.65,963.373 1542.73,989.478 1544.82,1024.14 1546.91,1064.67 1549,1108.32 1551.09,1152.27 1553.17,1193.81 1555.26,1230.59 1557.35,1260.81 1559.44,1283.23 \n",
       "  1561.53,1297.04 1563.61,1301.67 1565.7,1296.54 1567.79,1280.9 1569.88,1253.78 1571.96,1214.02 1574.05,1160.43 1576.14,1092.15 1578.23,1009.23 1580.32,913.367 \n",
       "  1582.4,808.587 1584.49,701.718 1586.58,602.025 1588.67,519.76 1590.75,463.742 1592.84,438.79 1594.93,444.266 1597.02,474.594 1599.11,521.595 1601.19,577.46 \n",
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       "  1624.16,1255.19 1626.25,1286.31 1628.34,1308.06 1630.42,1321.03 1632.51,1325.81 1634.6,1323 1636.69,1313.27 1638.78,1297.47 1640.86,1276.89 1642.95,1253.47 \n",
       "  1645.04,1229.86 1647.13,1209.3 1649.21,1195.07 1651.3,1189.76 1653.39,1194.54 1655.48,1208.79 1657.57,1230.38 1659.65,1256.28 1661.74,1283.41 1663.83,1309.21 \n",
       "  1665.92,1331.91 1668.01,1350.47 1670.09,1364.42 1672.18,1373.62 1674.27,1378.07 1676.36,1377.72 1678.44,1372.42 1680.53,1361.88 1682.62,1345.69 1684.71,1323.35 \n",
       "  1686.8,1294.52 1688.88,1259.16 1690.97,1217.93 1693.06,1172.51 1695.15,1125.86 1697.24,1082.15 1699.32,1046.26 1701.41,1022.76 1703.5,1014.65 1705.59,1022.45 \n",
       "  1707.67,1044.13 1709.76,1075.8 1711.85,1113.02 1713.94,1151.9 1716.03,1189.69 1718.11,1224.81 1720.2,1256.5 1722.29,1284.37 1724.38,1308.12 1726.46,1327.46 \n",
       "  1728.55,1342.05 1730.64,1351.58 1732.73,1355.77 1734.82,1354.32 1736.9,1346.88 1738.99,1333.08 1741.08,1312.56 1743.17,1285.13 1745.26,1250.98 1747.34,1211.02 \n",
       "  1749.43,1167.18 1751.52,1122.55 1753.61,1081.23 1755.69,1047.63 1757.78,1025.36 1759.87,1016.18 1761.96,1019.36 1764.05,1031.99 1766.13,1050.05 1768.22,1069.77 \n",
       "  1770.31,1088.68 1772.4,1106.02 1774.49,1122.47 1776.57,1139.29 1778.66,1157.49 1780.75,1177.12 1782.84,1197.14 1784.92,1215.75 1787.01,1231.01 1789.1,1241.4 \n",
       "  1791.19,1246.25 1793.28,1245.89 1795.36,1241.72 1797.45,1236.02 1799.54,1231.5 1801.63,1230.76 1803.72,1235.6 1805.8,1246.54 1807.89,1262.73 1809.98,1282.36 \n",
       "  1812.07,1303.17 1814.15,1323.04 1816.24,1340.3 1818.33,1353.82 1820.42,1362.9 1822.51,1367.08 1824.59,1365.99 1826.68,1359.2 1828.77,1346.13 1830.86,1325.98 \n",
       "  1832.95,1297.84 1835.03,1260.7 1837.12,1213.72 1839.21,1156.58 1841.3,1089.83 1843.38,1015.42 1845.47,936.909 1847.56,859.361 1849.65,788.579 1851.74,729.917 \n",
       "  1853.82,687.056 1855.91,661.388 1858,652.288 1860.09,657.956 1862.17,676.154 1864.26,704.397 1866.35,739.746 1868.44,778.75 1870.53,817.883 1872.61,854.352 \n",
       "  1874.7,886.764 1876.79,915.188 1878.88,940.545 1880.97,963.636 1883.05,984.356 1885.14,1001.52 1887.23,1013.41 1889.32,1018.67 1891.4,1017.3 1893.49,1011.13 \n",
       "  1895.58,1003.86 1897.67,1000.26 1899.76,1004.94 1901.84,1021.02 1903.93,1049.14 1906.02,1087.43 1908.11,1132.29 1910.2,1179.52 1912.28,1225.44 1914.37,1267.4 \n",
       "  1916.46,1303.96 1918.55,1334.65 1920.63,1359.69 1922.72,1379.68 1924.81,1395.37 1926.9,1407.54 1928.99,1416.88 1931.07,1424 1933.16,1429.4 1935.25,1433.48 \n",
       "  1937.34,1436.55 1939.43,1438.86 1941.51,1440.59 1943.6,1441.88 1945.69,1442.85 1947.78,1443.58 1949.86,1444.12 1951.95,1444.52 1954.04,1444.83 1956.13,1445.05 \n",
       "  1958.22,1445.22 1960.3,1445.35 1962.39,1445.44 1964.48,1445.51 1966.57,1445.56 1968.65,1445.6 1970.74,1445.63 1972.83,1445.65 1974.92,1445.67 1977.01,1445.68 \n",
       "  1979.09,1445.69 1981.18,1445.7 1983.27,1445.7 1985.36,1445.7 1987.45,1445.71 1989.53,1445.71 1991.62,1445.71 1993.71,1445.71 1995.8,1445.71 1997.88,1445.71 \n",
       "  1999.97,1445.71 2002.06,1445.71 2004.15,1445.71 2006.24,1445.72 2008.32,1445.72 2010.41,1445.72 2012.5,1445.72 2014.59,1445.72 2016.68,1445.72 2018.76,1445.72 \n",
       "  2020.85,1445.72 2022.94,1445.72 2025.03,1445.72 2027.11,1445.72 2029.2,1445.72 2031.29,1445.72 2033.38,1445.72 2035.47,1445.72 2037.55,1445.72 2039.64,1445.72 \n",
       "  2041.73,1445.72 2043.82,1445.72 2045.91,1445.72 2047.99,1445.72 2050.08,1445.72 2052.17,1445.72 2054.26,1445.72 2056.34,1445.72 2058.43,1445.72 2060.52,1445.72 \n",
       "  2062.61,1445.72 2064.7,1445.72 2066.78,1445.72 2068.87,1445.72 2070.96,1445.72 2073.05,1445.72 2075.14,1445.72 2077.22,1445.72 2079.31,1445.72 2081.4,1445.72 \n",
       "  2083.49,1445.72 2085.57,1445.72 2087.66,1445.72 2089.75,1445.72 2091.84,1445.72 2093.93,1445.72 2096.01,1445.72 2098.1,1445.72 2100.19,1445.72 2102.28,1445.72 \n",
       "  2104.36,1445.72 2106.45,1445.72 2108.54,1445.72 2110.63,1445.72 2112.72,1445.72 2114.8,1445.72 2116.89,1445.72 2118.98,1445.72 2121.07,1445.72 2123.16,1445.72 \n",
       "  2125.24,1445.72 2127.33,1445.72 2129.42,1445.72 2131.51,1445.72 2133.59,1445.72 2135.68,1445.72 2137.77,1445.72 2139.86,1445.72 2141.95,1445.72 2144.03,1445.72 \n",
       "  2146.12,1445.72 2148.21,1445.72 2150.3,1445.72 2152.39,1445.72 2154.47,1445.72 2156.56,1445.72 2158.65,1445.72 2160.74,1445.72 2162.82,1445.72 2164.91,1445.72 \n",
       "  2167,1445.72 2169.09,1445.72 2171.18,1445.72 2173.26,1445.72 2175.35,1445.72 2177.44,1445.72 2179.53,1445.72 2181.62,1445.72 2183.7,1445.72 2185.79,1445.72 \n",
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       "  1102.2,1367.61 1104.29,1385.83 1106.37,1400.03 1108.46,1410.96 1110.55,1419.26 1112.64,1425.51 1114.73,1430.13 1116.81,1433.48 1118.9,1435.82 1120.99,1437.32 \n",
       "  1123.08,1438.11 1125.17,1438.25 1127.25,1437.76 1129.34,1436.59 1131.43,1434.64 1133.52,1431.77 1135.6,1427.74 1137.69,1422.23 1139.78,1414.83 1141.87,1405.01 \n",
       "  1143.96,1392.1 1146.04,1375.32 1148.13,1353.76 1150.22,1326.49 1152.31,1292.65 1154.4,1251.75 1156.48,1203.93 1158.57,1150.49 1160.66,1094.19 1162.75,1039.49 \n",
       "  1164.83,992.226 1166.92,958.55 1169.01,943.473 1171.1,949.327 1173.19,974.985 1175.27,1016.22 1177.36,1066.98 1179.45,1121.02 1181.54,1173.09 1183.63,1219.54 \n",
       "  1185.71,1258.23 1187.8,1288.27 1189.89,1309.48 1191.98,1322.05 1194.06,1326.23 1196.15,1322.21 1198.24,1310.08 1200.33,1289.9 1202.42,1261.93 1204.5,1226.87 \n",
       "  1206.59,1186.24 1208.68,1142.62 1210.77,1099.69 1212.85,1061.79 1214.94,1033.03 1217.03,1016.09 1219.12,1011.24 1221.21,1016.13 1223.29,1026.42 1225.38,1037.09 \n",
       "  1227.47,1043.87 1229.56,1044.27 1231.65,1038.2 1233.73,1027.96 1235.82,1017.72 1237.91,1012.52 1240,1016.84 1242.08,1033.28 1244.17,1061.86 1246.26,1100.16 \n",
       "  1248.35,1144.21 1250.44,1189.79 1252.52,1233.27 1254.61,1272.16 1256.7,1305.13 1258.79,1331.71 1260.88,1352.03 1262.96,1366.5 1265.05,1375.58 1267.14,1379.71 \n",
       "  1269.23,1379.19 1271.31,1374.26 1273.4,1365.1 1275.49,1352 1277.58,1335.48 1279.67,1316.51 1281.75,1296.59 1283.84,1277.78 1285.93,1262.44 1288.02,1252.73 \n",
       "  1290.11,1250.05 1292.19,1254.53 1294.28,1264.98 1296.37,1279.2 1298.46,1294.54 1300.54,1308.47 1302.63,1318.85 1304.72,1324.06 1306.81,1322.86 1308.9,1314.29 \n",
       "  1310.98,1297.5 1313.07,1271.76 1315.16,1236.48 1317.25,1191.49 1319.34,1137.29 1321.42,1075.36 1323.51,1008.37 1325.6,939.984 1327.69,874.336 1329.77,815.16 \n",
       "  1331.86,765.036 1333.95,725.183 1336.04,695.93 1338.13,677.554 1340.21,670.931 1342.3,677.59 1344.39,699.166 1346.48,736.518 1348.56,788.931 1350.65,853.746 \n",
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       "  1373.62,1395.56 1375.71,1407.89 1377.79,1417.27 1379.88,1424.36 1381.97,1429.71 1384.06,1433.73 1386.15,1436.75 1388.23,1439.01 1390.32,1440.71 1392.41,1441.98 \n",
       "  1394.5,1442.92 1396.59,1443.63 1398.67,1444.16 1400.76,1444.55 1402.85,1444.84 1404.94,1445.06 1407.02,1445.22 1409.11,1445.34 1411.2,1445.43 1413.29,1445.5 \n",
       "  1415.38,1445.54 1417.46,1445.57 1419.55,1445.59 1421.64,1445.59 1423.73,1445.59 1425.82,1445.57 1427.9,1445.54 1429.99,1445.5 1432.08,1445.43 1434.17,1445.35 \n",
       "  1436.25,1445.23 1438.34,1445.07 1440.43,1444.85 1442.52,1444.56 1444.61,1444.18 1446.69,1443.66 1448.78,1442.97 1450.87,1442.05 1452.96,1440.84 1455.05,1439.23 \n",
       "  1457.13,1437.11 1459.22,1434.34 1461.31,1430.74 1463.4,1426.13 1465.48,1420.29 1467.57,1413.03 1469.66,1404.23 1471.75,1393.87 1473.84,1382.16 1475.92,1369.58 \n",
       "  1478.01,1356.86 1480.1,1344.97 1482.19,1334.83 1484.27,1327.07 1486.36,1321.77 1488.45,1318.4 1490.54,1315.94 1492.63,1313.27 1494.71,1309.52 1496.8,1304.3 \n",
       "  1498.89,1297.76 1500.98,1290.46 1503.07,1282.99 1505.15,1275.7 1507.24,1268.52 1509.33,1261.05 1511.42,1252.92 1513.5,1244.25 1515.59,1235.88 1517.68,1229.43 \n",
       "  1519.77,1226.88 1521.86,1229.96 1523.94,1239.5 1526.03,1255.14 1528.12,1275.43 1530.21,1298.3 1532.3,1321.64 1534.38,1343.76 1536.47,1363.55 1538.56,1380.46 \n",
       "  1540.65,1394.4 1542.73,1405.53 1544.82,1414.17 1546.91,1420.65 1549,1425.31 1551.09,1428.39 1553.17,1430.09 1555.26,1430.51 1557.35,1429.67 1559.44,1427.49 \n",
       "  1561.53,1423.8 1563.61,1418.31 1565.7,1410.6 1567.79,1400.14 1569.88,1386.21 1571.96,1367.97 1574.05,1344.44 1576.14,1314.59 1578.23,1277.48 1580.32,1232.52 \n",
       "  1582.4,1179.78 1584.49,1120.49 1586.58,1057.39 1588.67,994.892 1590.75,938.795 1592.84,895.265 1594.93,869.381 1597.02,863.634 1599.11,877.031 1601.19,905.208 \n",
       "  1603.28,941.476 1605.37,978.299 1607.46,1008.64 1609.55,1026.82 1611.63,1028.86 1613.72,1012.52 1615.81,977.33 1617.9,924.609 1619.98,857.682 1622.07,781.921 \n",
       "  1624.16,704.424 1626.25,633.122 1628.34,575.411 1630.42,536.73 1632.51,519.596 1634.6,523.381 1636.69,544.783 1638.78,578.816 1640.86,620.13 1642.95,664.413 \n",
       "  1645.04,709.45 1647.13,755.383 1649.21,803.992 1651.3,857.299 1653.39,916.19 1655.48,979.713 1657.57,1045.31 1659.65,1109.68 1661.74,1169.75 1663.83,1223.32 \n",
       "  1665.92,1269.28 1668.01,1307.46 1670.09,1338.33 1672.18,1362.73 1674.27,1381.64 1676.36,1395.99 1678.44,1406.62 1680.53,1414.19 1682.62,1419.24 1684.71,1422.13 \n",
       "  1686.8,1423.08 1688.88,1422.16 1690.97,1419.34 1693.06,1414.45 1695.15,1407.22 1697.24,1397.25 1699.32,1384.12 1701.41,1367.39 1703.5,1346.73 1705.59,1322.09 \n",
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       "  1728.55,1149.95 1730.64,1142.65 1732.73,1127.63 1734.82,1105.08 1736.9,1077.07 1738.99,1047.47 1741.08,1021.27 1743.17,1003.66 1745.26,998.73 1747.34,1008.42 \n",
       "  1749.43,1032.16 1751.52,1067.2 1753.61,1109.61 1755.69,1155.21 1757.78,1200.36 1759.87,1242.33 1761.96,1279.34 1764.05,1310.5 1766.13,1335.56 1768.22,1354.67 \n",
       "  1770.31,1368.2 1772.4,1376.58 1774.49,1380.15 1776.57,1379.17 1778.66,1373.79 1780.75,1364.02 1782.84,1349.83 1784.92,1331.14 1787.01,1307.85 1789.1,1279.94 \n",
       "  1791.19,1247.57 1793.28,1211.33 1795.36,1172.55 1797.45,1133.64 1799.54,1098.13 1801.63,1070.28 1803.72,1054.15 1805.8,1052.41 1807.89,1065.36 1809.98,1090.78 \n",
       "  1812.07,1124.53 1814.15,1161.71 1816.24,1197.7 1818.33,1228.87 1820.42,1252.73 1822.51,1267.81 1824.59,1273.41 1826.68,1269.29 1828.77,1255.7 1830.86,1233.34 \n",
       "  1832.95,1203.67 1835.03,1169.1 1837.12,1133.22 1839.21,1100.58 1841.3,1076.12 1843.38,1064.1 1845.47,1066.94 1847.56,1084.53 1849.65,1114.29 1851.74,1152.05 \n",
       "  1853.82,1193.16 1855.91,1233.58 1858,1270.36 1860.09,1301.72 1862.17,1326.86 1864.26,1345.61 1866.35,1358.08 1868.44,1364.45 1870.53,1364.79 1872.61,1358.93 \n",
       "  1874.7,1346.42 1876.79,1326.49 1878.88,1298.11 1880.97,1260.01 1883.05,1210.95 1885.14,1149.93 1887.23,1076.77 1889.32,992.603 1891.4,900.61 1893.49,806.401 \n",
       "  1895.58,717.936 1897.67,644.6 1899.76,595.451 1901.84,577.031 1903.93,591.526 1906.02,636.045 1908.11,703.345 1910.2,783.717 1912.28,867.21 1914.37,945.428 \n",
       "  1916.46,1012.47 1918.55,1065.1 1920.63,1102.41 1922.72,1125.39 1924.81,1136.56 1926.9,1139.53 1928.99,1138.65 1931.07,1138.3 1933.16,1142.11 1935.25,1152.17 \n",
       "  1937.34,1168.57 1939.43,1189.61 1941.51,1212.41 1943.6,1233.74 1945.69,1250.71 1947.78,1261.06 1949.86,1263.3 1951.95,1256.64 1954.04,1240.99 1956.13,1217.01 \n",
       "  1958.22,1186.35 1960.3,1151.81 1962.39,1117.39 1964.48,1087.96 1966.57,1068.43 1968.65,1062.57 1970.74,1071.95 1972.83,1095.5 1974.92,1129.92 1977.01,1170.74 \n",
       "  1979.09,1213.52 1981.18,1254.68 1983.27,1291.88 1985.36,1323.97 1987.45,1350.69 1989.53,1372.33 1991.62,1389.52 1993.71,1402.95 1995.8,1413.33 1997.88,1421.28 \n",
       "  1999.97,1427.33 2002.06,1431.91 2004.15,1435.37 2006.24,1437.97 2008.32,1439.92 2010.41,1441.38 2012.5,1442.48 2014.59,1443.3 2016.68,1443.91 2018.76,1444.37 \n",
       "  2020.85,1444.71 2022.94,1444.96 2025.03,1445.16 2027.11,1445.3 2029.2,1445.4 2031.29,1445.48 2033.38,1445.54 2035.47,1445.59 2037.55,1445.62 2039.64,1445.64 \n",
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      ]
     },
     "metadata": {},
     "execution_count": 10
    }
   ],
   "cell_type": "code",
   "source": [
    "using Plots\n",
    "plot_dos(scfres)"
   ],
   "metadata": {},
   "execution_count": 10
  },
  {
   "cell_type": "markdown",
   "source": [
    "Similarly the band structure shows clear differences between both spin components."
   ],
   "metadata": {}
  },
  {
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Computing bands along kpath:\n",
      "       Γ -> H -> N -> Γ -> P -> H  and  P -> N\n",
      "\rDiagonalising Hamiltonian kblocks:   1%|▎               |  ETA: 0:00:09\u001b[K\rDiagonalising Hamiltonian kblocks:  13%|██              |  ETA: 0:00:07\u001b[K\rDiagonalising Hamiltonian kblocks:  17%|██▋             |  ETA: 0:00:08\u001b[K\rDiagonalising Hamiltonian kblocks:  21%|███▎            |  ETA: 0:00:06\u001b[K\rDiagonalising Hamiltonian kblocks:  24%|███▉            |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  28%|████▌           |  ETA: 0:00:05\u001b[K\rDiagonalising Hamiltonian kblocks:  31%|████▉           |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  35%|█████▌          |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  38%|██████▏         |  ETA: 0:00:04\u001b[K\rDiagonalising Hamiltonian kblocks:  42%|██████▊         |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  45%|███████▏        |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  49%|███████▊        |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  51%|████████▎       |  ETA: 0:00:03\u001b[K\rDiagonalising Hamiltonian kblocks:  55%|████████▉       |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  59%|█████████▍      |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  64%|██████████▎     |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  68%|██████████▉     |  ETA: 0:00:02\u001b[K\rDiagonalising Hamiltonian kblocks:  72%|███████████▌    |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  76%|████████████▏   |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  79%|████████████▊   |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  83%|█████████████▍  |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  87%|██████████████  |  ETA: 0:00:01\u001b[K\rDiagonalising Hamiltonian kblocks:  91%|██████████████▋ |  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks:  95%|███████████████▏|  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks:  99%|███████████████▊|  ETA: 0:00:00\u001b[K\rDiagonalising Hamiltonian kblocks: 100%|████████████████| Time: 0:00:04\u001b[K\n"
     ]
    },
    {
     "output_type": "execute_result",
     "data": {
      "text/plain": "Plot{Plots.GRBackend() n=420}",
      "image/png": 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       "  2127.18,-5540.09 2183.57,-5333.71 2239.97,-5199.23 2296.36,-5362.56 2352.76,-5428.16 \n",
       "  \"/>\n",
       "<polyline clip-path=\"url(#clip082)\" style=\"stroke:#ff0000; stroke-width:4; stroke-opacity:1; fill:none\" points=\"\n",
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       "  \"/>\n",
       "</svg>\n"
      ]
     },
     "metadata": {},
     "execution_count": 11
    }
   ],
   "cell_type": "code",
   "source": [
    "using Unitful\n",
    "using UnitfulAtomic\n",
    "plot_bandstructure(scfres, kline_density=3, unit=u\"hartree\")"
   ],
   "metadata": {},
   "execution_count": 11
  }
 ],
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