{
"cells": [
{
"cell_type": "markdown",
"id": "4852ec45",
"metadata": {},
"source": [
"# Charge transport in amorphous thiophene\n",
"\n",
"How mobile are electrons and holes in an amorphous film of thiophene? This tutorial goes through the multiscale workflow that answers this question: from the MD morphology to the parameters of the hopping rates, and from the rates to mobilities and times of flight.\n",
"\n",
"Charges hop between molecules $i$ and $j$ with the Marcus rate\n",
"\n",
"$$\\omega_{ij} = \\frac{2\\pi}{\\hbar}\\frac{|J_{ij}|^2}{\\sqrt{4\\pi\\lambda_{ij}k_\\mathrm{B}T}}\\exp\\left[-\\frac{(\\Delta E_{ij} - q\\mathbf{F}\\cdot\\mathbf{r}_{ij} - \\lambda_{ij})^2}{4\\lambda_{ij}k_\\mathrm{B}T}\\right],$$\n",
"\n",
"which needs three ingredients for every pair of neighbours:\n",
"\n",
"1. the **reorganization energy** $\\lambda$ (from gas-phase calculations of a single molecule),\n",
"2. the **site energy difference** $\\Delta E_{ij} = E_i - E_j$ (internal energies plus the electrostatic and polarization energy of the charge in its environment),\n",
"3. the **electronic coupling** $J_{ij}$ (from DFT calculations of the pair).\n",
"\n",
"Computing these for all 1000 molecules and 10151 pairs takes hours, so here we compute them for a few molecules and pairs, compare with the full set provided in `state_reference.hdf5`, and then use the full set for the transport calculations.\n",
"\n",
"The morphology and the mapping are explained in the tutorial *From an MD morphology to a state file*.\n",
"\n",
"## Requirements\n",
"* VOTCA installed and the environment activated with `VOTCARC.bash` (see the [installation instructions](https://github.com/votca/votca/blob/master/share/sphinx/INSTALL.rst)).\n",
"* Python with `numpy`, `h5py` and `matplotlib`."
]
},
{
"cell_type": "code",
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"id": "b0e99863",
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"source": [
"import subprocess\n",
"import numpy as np\n",
"import h5py\n",
"import matplotlib.pyplot as plt\n",
"\n",
"\n",
"def run(command, show=0, output=False):\n",
" \"\"\"Run a VOTCA command; print the last `show` lines of its output (0: none).\"\"\"\n",
" result = subprocess.run(command, shell=True, text=True,\n",
" stdout=subprocess.PIPE, stderr=subprocess.STDOUT)\n",
" if result.returncode != 0:\n",
" print(result.stdout)\n",
" raise RuntimeError(f\"'{command}' failed\")\n",
" if show:\n",
" print(\"\\n\".join(result.stdout.splitlines()[-show:]))\n",
" return result.stdout if output else None\n",
"import xml.etree.ElementTree as ET\n",
"\n",
"HARTREE = 27.211386 # eV\n",
"BOHR = 0.0529177 # nm\n",
"\n",
"\n",
"def only_jobs(jobfile, ids):\n",
" \"\"\"Mark all jobs except those with the given ids as COMPLETE, so only these run.\"\"\"\n",
" tree = ET.parse(jobfile)\n",
" for job in tree.getroot().iter(\"job\"):\n",
" if int(job.find(\"id\").text) not in ids:\n",
" job.find(\"status\").text = \"COMPLETE\"\n",
" tree.write(jobfile)\n",
"\n",
"\n",
"def results(filename):\n",
" \"\"\"Read a 'key value unit' result file of the transport calculators into a dictionary.\"\"\"\n",
" values = {}\n",
" for line in open(filename):\n",
" if line.startswith(\"#\") or not line.strip():\n",
" continue\n",
" key, value = line.split()[:2]\n",
" try:\n",
" values[key] = float(value)\n",
" except ValueError:\n",
" values[key] = value\n",
" return values\n",
"\n",
"run(\"rm -rf state.hdf5 *.jobs *_jobs.xml ewaldbackground.hdf5 OR_FILES QMMM qmmm_mm.xml eqm.xml iqm.xml\")"
]
},
{
"cell_type": "markdown",
"id": "e7b700ad",
"metadata": {},
"source": [
"## Morphology and neighbours\n",
"\n",
"We map the MD snapshot and list the pairs whose closest atoms are less than 0.6 nm apart:"
]
},
{
"cell_type": "code",
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"outputs": [],
"source": [
"run(\"xtp_map -t MD_FILES/thiophene.data -c MD_FILES/traj.dump -s system.xml -f state.hdf5\")\n",
"run(\"xtp_run -e neighborlist -c constant=0.6 -f state.hdf5\", show=0)"
]
},
{
"cell_type": "markdown",
"id": "3bbc9211",
"metadata": {},
"source": [
"## Reorganization and internal energies\n",
"\n",
"The internal energies of the charged molecule come from four gas-phase calculations (neutral and charged molecule, each at its own optimized geometry and at that of the other state) and are listed in the mapping file `system.xml` (in eV):\n",
"\n",
"* `U_xX_nN`: energy of the charged molecule in its geometry minus that of the neutral molecule in its geometry (electron affinity or ionization energy, up to the sign),\n",
"* `U_nX_nN`: energy of the neutral molecule in the geometry of the charged one, relative to its minimum,\n",
"* `U_xN_xX`: energy of the charged molecule in the neutral geometry, relative to its minimum.\n",
"\n",
"The reorganization energy of a hop is $\\lambda = $ `U_nX_nN` $+$ `U_xN_xX`. `einternal` copies these values into the state file:"
]
},
{
"cell_type": "code",
"execution_count": 3,
"id": "7b4321ed",
"metadata": {
"execution": {
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}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"electron: reorganization energy 0.382 eV\n",
"hole: reorganization energy 0.762 eV\n"
]
}
],
"source": [
"run(\"xtp_run -e einternal -c energies_file=system.xml -f state.hdf5\")\n",
"segment = ET.parse(\"system.xml\").getroot().find(\".//segment\")\n",
"for carrier, name in [(\"e\", \"electron\"), (\"h\", \"hole\")]:\n",
" lam = float(segment.find(f\"U_nX_nN_{carrier}\").text) + float(segment.find(f\"U_xN_xX_{carrier}\").text)\n",
" print(f\"{name}: reorganization energy {lam:.3f} eV\")"
]
},
{
"cell_type": "markdown",
"id": "65f26447",
"metadata": {},
"source": [
"## Site energies in the environment\n",
"\n",
"A charge on a molecule interacts with the permanent multipoles of the surrounding molecules and polarizes them. This changes the site energy by several tenths of an eV and, since every molecule has a different environment, causes the energetic disorder that dominates transport in amorphous materials.\n",
"\n",
"We describe the environment classically: every molecule carries the atomic multipoles and polarizabilities of `MP_FILES` (for its state `n`, `e` or `h`), and induced dipoles are computed self-consistently. Electrostatics are long-ranged, so the periodic environment is included with Ewald summation in two steps:\n",
"\n",
"1. `ewaldbackground` converges the induced dipoles of the whole periodic neutral system once.\n",
"2. For each molecule and state, a `qmmm` job places the molecule in the given state into an explicitly polarizable shell (here 1.5 nm) inside the frozen periodic background. The site energy is the energy difference between the charged and the neutral job.\n",
"\n",
"The settings below trade accuracy for speed (`screening_factor=4` instead of 6 and a looser tolerance); with the defaults `ewaldbackground` takes several minutes here."
]
},
{
"cell_type": "code",
"execution_count": 4,
"id": "8c6bf9df",
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"execution": {
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"shell.execute_reply": "2026-11-10T20:56:40.542250Z"
}
},
"outputs": [],
"source": [
"run(\"xtp_run -e ewaldbackground -c multipoles=system.xml realspace.screening_factor=4.0 \"\n",
" \"polarmethod.tolerance=1e-5 polarmethod.use_block_jacobi_preconditioner=true -f state.hdf5\", show=0)"
]
},
{
"cell_type": "markdown",
"id": "4f2187d9",
"metadata": {},
"source": [
"The options of the `qmmm` jobs are given in an XML file. Region 0 is the explicitly polarizable shell around the molecule of the job, region 1 the periodic background:"
]
},
{
"cell_type": "code",
"execution_count": 5,
"id": "e46a9134",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:56:40.544976Z",
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"shell.execute_reply": "2026-11-10T20:56:40.547774Z"
}
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"outputs": [],
"source": [
"qmmm_options = \"\"\"\n",
"\n",
" \n",
" system.xml\n",
" qmmm_mm_jobs.xml\n",
" \n",
" n e h\n",
" 0 1 2\n",
" \n",
" \n",
" \n",
" 0\n",
" jobfile\n",
" \n",
" n\n",
" 1.5\n",
" 0\n",
" \n",
" \n",
" \n",
" 1\n",
" ewaldbackground.hdf5\n",
" \n",
" \n",
" \n",
"\n",
"\"\"\"\n",
"with open(\"qmmm_mm.xml\", \"w\") as f:\n",
" f.write(qmmm_options)"
]
},
{
"cell_type": "markdown",
"id": "c213c902",
"metadata": {},
"source": [
"Jobs are handled by `xtp_parallel` in three steps: `-j write` writes a job file with one job per molecule and state (here molecules 0, 1 and 2 in the states `n`, `e`, `h`), `-j run` runs the jobs (several processes can work on the same job file, `-x` sets the threads per job), and `-j read` stores the results in the state file:"
]
},
{
"cell_type": "code",
"execution_count": 6,
"id": "b65e98d6",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:56:40.550297Z",
"iopub.status.busy": "2026-11-10T20:56:40.549932Z",
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"shell.execute_reply": "2026-11-10T20:57:55.236842Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"molecule carrier this run (eV) reference (eV)\n",
" 0 e -0.669 -0.702\n",
" 0 h -0.860 -0.828\n",
" 1 e -0.538 -0.565\n",
" 1 h -0.953 -0.925\n",
" 2 e -0.660 -0.681\n",
" 2 h -0.906 -0.885\n"
]
}
],
"source": [
"run(\"xtp_parallel -e qmmm -o qmmm_mm.xml -f state.hdf5 -j write\")\n",
"run(\"xtp_parallel -e qmmm -o qmmm_mm.xml -f state.hdf5 -j run -x 2\")\n",
"run(\"xtp_parallel -e qmmm -o qmmm_mm.xml -f state.hdf5 -j read\")\n",
"\n",
"with h5py.File(\"state.hdf5\", \"r\") as mine, h5py.File(\"state_reference.hdf5\", \"r\") as ref:\n",
" ours = mine[\"frame_10000\"][\"segments\"]\n",
" theirs = ref[\"frame_10000\"][\"segments\"]\n",
" print(\"molecule carrier this run (eV) reference (eV)\")\n",
" for i in range(3):\n",
" for carrier in \"eh\":\n",
" a = ours[f\"segment{i}\"].attrs[f\"site_eng_{carrier}\"].item() * HARTREE\n",
" b = theirs[f\"segment{i}\"].attrs[f\"site_eng_{carrier}\"].item() * HARTREE\n",
" print(f\"{i:8d} {carrier:>7} {a:13.3f} {b:14.3f}\")"
]
},
{
"cell_type": "markdown",
"id": "0cfdc48c",
"metadata": {},
"source": [
"The environment lowers the energy of both carriers by 0.5 to 1 eV, by different amounts for different molecules. The reference set was computed for all molecules with comparable settings; the values agree to within a few hundredths of an eV, the size of the differences caused by the settings.\n",
"\n",
"## Electronic couplings\n",
"\n",
"The coupling $J_{ij}$ of a pair is computed by projecting the frontier orbitals of the two molecules onto the orbitals of the pair (dimer projection, `dftcoupling`). This needs a DFT calculation of each molecule (`eqm`) and of each pair (`iqm`). We compute the first three pairs of the neighbour list, which share molecule 0:"
]
},
{
"cell_type": "code",
"execution_count": 7,
"id": "660eb307",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:57:55.239761Z",
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"shell.execute_reply": "2026-11-10T20:58:19.567351Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pairs: [(0, 9), (0, 19), (0, 88)]\n"
]
}
],
"source": [
"with h5py.File(\"state.hdf5\", \"r\") as f:\n",
" pairs = f[\"frame_10000\"][\"neighborlist\"][\"pairs\"][()].ravel()\n",
"chosen = [0, 1, 2]\n",
"molecules = sorted({int(m) for p in chosen for m in (pairs[p][\"Seg1Id\"], pairs[p][\"Seg2Id\"])})\n",
"print(\"pairs:\", [(int(pairs[p][\"Seg1Id\"]), int(pairs[p][\"Seg2Id\"])) for p in chosen])\n",
"\n",
"dft = \"\"\"\n",
" \n",
" 3-21G\n",
" aux-def2-svp\n",
" \"\"\"\n",
"open(\"eqm.xml\", \"w\").write(f\"\"\"\n",
"system.xmlinput,dft,parse{dft}\n",
"\"\"\")\n",
"open(\"iqm.xml\", \"w\").write(f\"\"\"\n",
"system.xmlinput,dft,parse,dftcoupling{dft}\n",
" thiophene:e1thiophene:h1\n",
"\"\"\")\n",
"\n",
"run(\"xtp_parallel -e eqm -o eqm.xml -f state.hdf5 -j write\")\n",
"only_jobs(\"eqm.jobs\", molecules)\n",
"run(\"xtp_parallel -e eqm -o eqm.xml -f state.hdf5 -j run -x 2\")\n",
"\n",
"run(\"xtp_parallel -e iqm -o iqm.xml -f state.hdf5 -j write\")\n",
"only_jobs(\"iqm.jobs\", chosen)\n",
"run(\"xtp_parallel -e iqm -o iqm.xml -f state.hdf5 -j run -x 2\")\n",
"run(\"xtp_parallel -e iqm -o iqm.xml -f state.hdf5 -j read\")"
]
},
{
"cell_type": "markdown",
"id": "5f35f27d",
"metadata": {},
"source": [
"`readjobfile` selects which orbitals are stored as the coupling of each carrier: the LUMO (`e1`) for electrons and the HOMO (`h1`) for holes. The state file stores $|J|^2$ (in Hartree$^2$):"
]
},
{
"cell_type": "code",
"execution_count": 8,
"id": "38c2ac8e",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:58:19.570301Z",
"iopub.status.busy": "2026-11-10T20:58:19.569904Z",
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"shell.execute_reply": "2026-11-10T20:58:19.594009Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"pair carrier |J| this run (meV) |J| reference (meV)\n",
" 0-9 e 70.2 67.2\n",
" 0-9 h 44.3 46.4\n",
" 0-19 e 2.57 6.79\n",
" 0-19 h 2.3 5.91\n",
" 0-88 e 0.00121 0\n",
" 0-88 h 0.00349 0\n"
]
}
],
"source": [
"with h5py.File(\"state.hdf5\", \"r\") as mine, h5py.File(\"state_reference.hdf5\", \"r\") as ref:\n",
" a = mine[\"frame_10000\"][\"neighborlist\"][\"pairs\"][()].ravel()\n",
" b = ref[\"frame_10000\"][\"neighborlist\"][\"pairs\"][()].ravel()\n",
"print(\"pair carrier |J| this run (meV) |J| reference (meV)\")\n",
"for p in chosen:\n",
" for carrier in \"eh\":\n",
" j_a = np.sqrt(a[p][f\"jeff2{carrier}\"]) * HARTREE * 1000\n",
" j_b = np.sqrt(b[p][f\"jeff2{carrier}\"]) * HARTREE * 1000\n",
" print(f\"{int(a[p]['Seg1Id']):3d}-{int(a[p]['Seg2Id']):<4d} {carrier:>7} {j_a:18.3g} {j_b:19.3g}\")"
]
},
{
"cell_type": "markdown",
"id": "3f7b872e",
"metadata": {},
"source": [
"The couplings decrease exponentially with the distance and depend strongly on the relative orientation of the molecules: the three pairs of molecule 0 span several orders of magnitude. The strong coupling agrees closely with the reference; the weak ones differ by up to a factor of a few, since small couplings are sensitive to the tails of the orbitals and hence to the basis set (here the small 3-21G). The pair 0-88 is 0.9 nm apart and its coupling is negligible; in the reference set, such distant pairs (about a third of the neighbour list) have no coupling at all ($J=0$), which makes no difference for transport.\n",
"\n",
"## Transport\n",
"\n",
"The reference state file contains all ingredients for all molecules and pairs. Its distributions of site energies and couplings give a first impression of the transport properties: `eanalyze` and `ianalyze` write histograms."
]
},
{
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{
"data": {
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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"run(\"xtp_run -e eanalyze -c resolution_sites=0.03 -f state_reference.hdf5\")\n",
"run(\"xtp_run -e ianalyze -c resolution_logJ2=0.1 states=e,h -f state_reference.hdf5\")\n",
"fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(11, 4))\n",
"for carrier, label in [(\"e\", \"electrons\"), (\"h\", \"holes\")]:\n",
" hist = np.loadtxt(f\"eanalyze.sitehist_{carrier}.out\")\n",
" ax1.plot(hist[:, 0] - np.average(hist[:, 0], weights=hist[:, 1]), hist[:, 1], label=label)\n",
" coupling = np.loadtxt(f\"ianalyze.ihist_{carrier}.out\")\n",
" ax2.plot(coupling[:, 0], coupling[:, 1], label=label)\n",
"ax1.set_xlabel(\"site energy - mean (eV)\")\n",
"ax1.set_ylabel(\"molecules\")\n",
"ax1.legend()\n",
"ax2.set_xlabel(r\"$\\log_{10}(|J|^2/\\mathrm{eV}^2)$\")\n",
"ax2.set_ylabel(\"pairs\")\n",
"ax2.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "e0092994",
"metadata": {},
"source": [
"The width of the site energy distribution, the energetic disorder $\\sigma$, controls how strongly carriers are trapped; the couplings span many orders of magnitude, so a few well-coupled pairs carry most of the current.\n",
"\n",
"### Bulk mobility\n",
"\n",
"`kmcmultiple` follows carriers through the periodic box with kinetic Monte Carlo (KMC) and also solves the master equation for a single carrier exactly (`exact_mobility`), which needs no sampling:"
]
},
{
"cell_type": "code",
"execution_count": 10,
"id": "2d9f75e4",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:58:20.312226Z",
"iopub.status.busy": "2026-11-10T20:58:20.311773Z",
"iopub.status.idle": "2026-11-10T20:58:23.384538Z",
"shell.execute_reply": "2026-11-10T20:58:23.384002Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"KMC 7.99e-06 +- 6.5e-07 cm^2/Vs, exact 8.40e-06 cm^2/Vs\n"
]
}
],
"source": [
"run('xtp_run -e kmcmultiple -c carriertype=electron field=\"1e7 0 0\" numberofcarriers=1 runs=8 '\n",
" 'runtime=10000000 outputtime=0 -f state_reference.hdf5')\n",
"r = results(\"kmcmultiple_results.dat\")\n",
"print(f\"KMC {r['mobility']:.2e} +- {r['mobility_error']:.1e} cm^2/Vs, exact {r['exact_mobility']:.2e} cm^2/Vs\")"
]
},
{
"cell_type": "markdown",
"id": "fbe49a76",
"metadata": {},
"source": [
"The statistical error of the KMC is large: the electron spends most of its time on a few low-energy molecules and leaves them rarely. The exact value is cheap, so we use it (with a minimal KMC part, `runtime=1000`) to compare electrons and holes over a range of fields:"
]
},
{
"cell_type": "code",
"execution_count": 11,
"id": "444f9ea6",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:58:23.386395Z",
"iopub.status.busy": "2026-11-10T20:58:23.386220Z",
"iopub.status.idle": "2026-11-10T20:58:26.981455Z",
"shell.execute_reply": "2026-11-10T20:58:26.980985Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"fields = np.array([0.5, 1, 2, 5, 10, 20]) * 1e7 # V/m\n",
"for carrier in [\"electron\", \"hole\"]:\n",
" mu = []\n",
" for F in fields:\n",
" run(f'xtp_run -e kmcmultiple -c carriertype={carrier} field=\"{F} 0 0\" runtime=1000 outputtime=0 '\n",
" 'resultfile=scan.dat ratefile=x occfile=x -f state_reference.hdf5')\n",
" mu.append(results(\"scan.dat\")[\"exact_mobility\"])\n",
" plt.semilogy(np.sqrt(fields / 1e2), mu, \"o-\", label=carrier + \"s\")\n",
"plt.xlabel(r\"$\\sqrt{F}$ ($\\sqrt{\\mathrm{V/cm}}$)\")\n",
"plt.ylabel(\"bulk mobility (cm$^2$/Vs)\")\n",
"plt.legend()\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "55493cf0",
"metadata": {},
"source": [
"Electrons are about two orders of magnitude more mobile than holes in this morphology, largely because the reorganization energy of the hole is twice as large. The irregular field dependence reflects the few low-energy molecules that dominate transport in such a small box.\n",
"\n",
"### Time of flight and traps\n",
"\n",
"In a time-of-flight experiment, carriers are injected at one electrode and the time until they reach the other is measured. `grw` computes the mean time of flight exactly for a slab cut from the box along $x$ (electrons are injected in a 1 nm layer at one face and collected at the other; they move against the field, so the field points in $-x$). It also writes, in `grw_occupation.dat`, the fraction of the time of flight that the electron spends on each molecule:"
]
},
{
"cell_type": "code",
"execution_count": 12,
"id": "2fa6d091",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:58:26.983865Z",
"iopub.status.busy": "2026-11-10T20:58:26.983426Z",
"iopub.status.idle": "2026-11-10T20:58:27.330320Z",
"shell.execute_reply": "2026-11-10T20:58:27.329707Z"
}
},
"outputs": [
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
},
{
"name": "stdout",
"output_type": "stream",
"text": [
"time of flight 3.93e-07 s\n",
"molecule 19: x = 0.84 nm, energy 0.395 eV, 50% of the time of flight\n",
"molecule 909: x = 0.27 nm, energy 0.403 eV, 30% of the time of flight\n",
"molecule 995: x = 0.31 nm, energy 0.446 eV, 6% of the time of flight\n",
"molecule 353: x = 2.32 nm, energy 0.402 eV, 3% of the time of flight\n",
"molecule 70: x = 1.14 nm, energy 0.462 eV, 3% of the time of flight\n"
]
}
],
"source": [
"run('xtp_run -e grw -c carriertype=electron field=\"-1e7 0 0\" -f state_reference.hdf5')\n",
"grw = results(\"grw_results.dat\")\n",
"occ = np.loadtxt(\"grw_occupation.dat\", usecols=(0, 1, 2, 5))\n",
"segment, x, energy, fraction = occ.T\n",
"plt.scatter(x, energy, c=np.log10(np.maximum(fraction, 1e-8)), s=8, cmap=\"viridis\")\n",
"plt.colorbar(label=r\"$\\log_{10}$ (fraction of the time of flight)\")\n",
"plt.xlabel(\"position along the transport direction (nm)\")\n",
"plt.ylabel(\"site energy (eV)\")\n",
"plt.show()\n",
"print(f\"time of flight {grw['tau_mean']:.2e} s\")\n",
"for s in np.argsort(fraction)[::-1][:5]:\n",
" print(f\"molecule {int(segment[s])}: x = {x[s]:.2f} nm, energy {energy[s]:.3f} eV, \"\n",
" f\"{fraction[s]:.0%} of the time of flight\")"
]
},
{
"cell_type": "markdown",
"id": "e9a94601",
"metadata": {},
"source": [
"A handful of molecules hold the electron for most of the time of flight. `kmctof` simulates the same experiment with KMC; its mean transit time agrees with `grw` within the statistical error, and the distribution over runs shows how broad the transit times are:"
]
},
{
"cell_type": "code",
"execution_count": 13,
"id": "02857f93",
"metadata": {
"execution": {
"iopub.execute_input": "2026-11-10T20:58:27.332750Z",
"iopub.status.busy": "2026-11-10T20:58:27.332348Z",
"iopub.status.idle": "2026-11-10T20:58:32.861465Z",
"shell.execute_reply": "2026-11-10T20:58:32.860914Z"
}
},
"outputs": [
{
"name": "stdout",
"output_type": "stream",
"text": [
"KMC 3.59e-07 +- 2.1e-08 s, grw 3.93e-07 s\n"
]
},
{
"data": {
"image/png": 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",
"text/plain": [
""
]
},
"metadata": {},
"output_type": "display_data"
}
],
"source": [
"run('xtp_run -e kmctof -c carriertype=electron field=\"-1e7 0 0\" runs=500 -f state_reference.hdf5')\n",
"tof = results(\"kmctof_results.dat\")\n",
"print(f\"KMC {tof['transit_mean']:.2e} +- {tof['transit_error']:.1e} s, grw {grw['tau_mean']:.2e} s\")\n",
"transit = np.loadtxt(\"kmctof_runs.dat\", usecols=5)\n",
"plt.hist(transit, bins=np.logspace(np.log10(transit.min()), np.log10(transit.max()), 40))\n",
"plt.xscale(\"log\")\n",
"plt.xlabel(\"transit time (s)\")\n",
"plt.ylabel(\"runs\")\n",
"plt.show()"
]
},
{
"cell_type": "markdown",
"id": "346821da",
"metadata": {},
"source": [
"## Summary\n",
"\n",
"* Hopping rates need reorganization energies (`einternal`), site energies in the environment (`ewaldbackground` and `qmmm`) and couplings (`eqm` and `iqm`); `xtp_parallel` distributes the per-molecule and per-pair jobs.\n",
"* `kmcmultiple` gives bulk mobilities, its exact single-carrier value without statistical error; `grw` and `kmctof` give times of flight, and the occupation map of `grw` identifies the molecules that act as traps.\n",
"* This morphology is small (1000 molecules, about 5 nm): its mobilities are dominated by a few sites and should be taken as an illustration. Production calculations need larger systems (see the stochastic network model in the manual chapter *Transport Simulations*) and several snapshots."
]
}
],
"metadata": {
"kernelspec": {
"display_name": "Python 3",
"language": "python",
"name": "python3"
},
"language_info": {
"codemirror_mode": {
"name": "ipython",
"version": 3
},
"file_extension": ".py",
"mimetype": "text/x-python",
"name": "python",
"nbconvert_exporter": "python",
"pygments_lexer": "ipython3",
"version": "3.14.8"
}
},
"nbformat": 4,
"nbformat_minor": 5
}