{ "cells": [ { "cell_type": "markdown", "id": "69df5e77-4fff-45e1-ab28-0b39116a3454", "metadata": {}, "source": [ "To start, we import the `matplotlib` library, which is essential for visualizing different aspects of our calculations, such as molecular geometry, as well as the resulting phonon properties. By setting `plt.rcParams['figure.dpi'] = 120`, we adjust the resolution of the figures to ensure they are displayed with sufficient clarity and detail." ] }, { "cell_type": "code", "execution_count": 1, "id": "63c23cca-ad08-4546-8a83-c4b0465077c7", "metadata": {}, "outputs": [], "source": [ "import matplotlib.pyplot as plt\n", "plt.rcParams['figure.dpi'] = 120" ] }, { "cell_type": "markdown", "id": "2612fbb1-fcec-4472-9091-6661673f832c", "metadata": {}, "source": [ "As previously mentioned, we use the PLAMS Python library to interact with AMS. The code below constructs the beryllium oxide (BeO) crystal structure by defining a `Molecule` object. Individual atoms, beryllium (Be) and oxygen (O), are then added to the molecule using their respective symbols and Cartesian coordinates, which are specified in Angstroms. Next, the crystal lattice is defined as a 3x3 matrix, with dimensions also in Angstroms." ] }, { "cell_type": "code", "execution_count": 2, "id": "4da77384-f36b-445a-9785-a863e2ff292c", "metadata": {}, "outputs": [], "source": [ "from scm.plams import Molecule, Atom, plot_molecule\n", "\n", "mol = Molecule()\n", "mol.add_atom(Atom(symbol=\"Be\", coords=(0.00000000, 1.55554138, 0.00070090)))\n", "mol.add_atom(Atom(symbol=\"Be\", coords=(1.34713836, 0.77777069, 2.18871035)))\n", "mol.add_atom(Atom(symbol= \"O\", coords=(0.00000000, 1.55554138, 1.65124622)))\n", "mol.add_atom(Atom(symbol= \"O\", coords=(1.34713836, 0.77777069, 3.83925567)))\n", "mol.lattice = [[ 2.69427671, 0.00000000, 0.00000000], \\\n", " [-1.34713836, 2.33331208, 0.00000000], \\\n", " [ 0.00000000, 0.00000000, 4.37601889]]" ] }, { "cell_type": "markdown", "id": "5385e97a-a4e1-480c-a6b3-d6dd1593c53d", "metadata": {}, "source": [ "To visualize the BeO crystal structure we've defined, we employ the `plot_molecule` function. This function serves as an interface to the `plot_atoms` function from the Atomic Simulation Environment (ASE), enabling us to generate graphical representations of the atomic arrangement. For a more detailed control over the generated figures, you can consult the original ASE documentation. In this particular instance, we generate three distinct views of the BeO structure by applying different rotation angles. Specifically, we create a figure with three subplots, each displaying the molecule rotated along different axes: `('15x,15y,0z')`, `('0x,90y,0z')`, and `('0x,0y,0z')`." ] }, { "cell_type": "code", "execution_count": 3, "id": "c7244566-2f7d-4b23-b30e-1fd22e318e1d", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "fig, ax_arr = plt.subplots(1, 3)\n", "ax_arr[0] = plot_molecule(mol, ax=ax_arr[0], rotation=('15x,15y,0z'))\n", "ax_arr[1] = plot_molecule(mol, ax=ax_arr[1], rotation=('0x,90y,0z'))\n", "ax_arr[2] = plot_molecule(mol, ax=ax_arr[2], rotation=('0x,0y,0z'))" ] }, { "cell_type": "markdown", "id": "1a4ecb8d-9fb8-4fbc-9efb-08bb5f000fc3", "metadata": {}, "source": [ "To set up the Quantum Espresso phonon calculation, we first create a Settings object in PLAMS to store all the calculation parameters. We begin by specifying a `GeometryOptimization` task to ensure our BeO structure is at a local energy minimum, preventing any spurious imaginary frequencies in the phonon spectrum. Next, we activate the calculation of phonons (`Properties%Phonons = Yes`), which will provide us with the phonon band structure and density of states (DOS).\n", "\n", "For the electronic structure part, we set the plane-wave energy cutoff (`ecutwfc`) to `25 Ry`. While this value is lower than typically recommended for production calculations (`40 Ry`), we use it here for demonstration purposes to reduce computational cost. The Brillouin zone sampling is done using a Monkhorst-Pack k-point grid of size `4 × 4 × 3`, ensuring a balanced sampling in all directions. Additionally, we also use a `4 × 4 × 3` q-point grid for our phonons calculation. A coarser q-point grid is normally preferred to the k-point grid (electronic part), as phonon calculations are more computationally intensive. However, the right choice should be obtained by a convergence test.\n", "\n", "AMS uses the specified q-grid for the initial analytical calculation of phonon frequencies within Quantum Espresso. However, the band structure plot is generated by interpolating those frequencies onto a denser set of q-points along the high-symmetry path proposed by Setyawan and Curtarolo (convention `Phonons%BandStructure%KPathFinderConvention = 'Setyawan-Curtarolo'`). This interpolation scheme, using a Fourier interpolation, allows for the construction of continuous phonon dispersion curves, providing a clearer visualization of the phonon band structure and facilitating the analysis of vibrational modes across different regions of the reciprocal space.\n", "\n", "The pseudopotentials used in this calculation are based on the SSSP-Efficiency family with the PBE functional and no relativistic corrections, as this is the default choice in AMS. Finally, we create an `AMSJob` object named `\"BeO\"` that combines the settings and the previously defined BeO molecule, encapsulating all the information needed to run the Quantum Espresso calculation." ] }, { "cell_type": "code", "execution_count": 4, "id": "baadeccd-d3ff-49d8-b609-620bf904bf39", "metadata": {}, "outputs": [], "source": [ "from scm.plams import Settings, AMSJob\n", "\n", "s = Settings()\n", "s.input.ams.Task = \"GeometryOptimization\"\n", "s.input.ams.Properties.Phonons = \"Yes\"\n", "s.input.QuantumEspresso.System.ecutwfc = 25.0\n", "s.input.QuantumEspresso.K_Points._h = \"automatic\"\n", "s.input.QuantumEspresso.K_Points._1 = \"4 4 3 0 0 0\"\n", "s.input.QuantumEspresso.Phonons.Q_Points._h = \"automatic\"\n", "s.input.QuantumEspresso.Phonons.Q_Points._1 = \"4 4 3 0 0 0\"\n", "\n", "job = AMSJob(settings=s, molecule=mol, name=\"BeO\")" ] }, { "cell_type": "markdown", "id": "4e399e78-01da-4b9e-b5a3-638735ca6b78", "metadata": {}, "source": [ "The `job.get_input()` function retrieves the content of the AMS input file generated during the previous setup. This enables users to inspect the input parameters before running the Quantum Espresso calculation. Reviewing the input file can be beneficial for advanced users who seek greater control over the calculation settings." ] }, { "cell_type": "code", "execution_count": 5, "id": "18c1aee9-a430-493c-961e-19ec2df63c47", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "Properties\n", " Phonons Yes\n", "End\n", "\n", "Task GeometryOptimization\n", "\n", "System\n", " Atoms\n", " Be 0.0000000000 1.5555413800 0.0007009000\n", " Be 1.3471383600 0.7777706900 2.1887103500\n", " O 0.0000000000 1.5555413800 1.6512462200\n", " O 1.3471383600 0.7777706900 3.8392556700\n", " End\n", " Lattice\n", " 2.6942767100 0.0000000000 0.0000000000\n", " -1.3471383600 2.3333120800 0.0000000000\n", " 0.0000000000 0.0000000000 4.3760188900\n", " End\n", "End\n", "\n", "Engine QuantumEspresso\n", " K_Points automatic\n", " 4 4 3 0 0 0\n", " End\n", " Phonons\n", " Q_Points automatic\n", " 4 4 3 0 0 0\n", " End\n", " End\n", " System\n", " ecutwfc 25.0\n", " End\n", "EndEngine\n", "\n", "\n" ] } ], "source": [ "print(job.get_input())" ] }, { "cell_type": "markdown", "id": "fa271990-59f5-4ed3-94b3-ab8c1a512024", "metadata": {}, "source": [ "We call the `run()` method on the previously defined `AMSJob` object to start the Quantum Espresso calculation. This starts the execution of the job, and once it is completed, the results are stored in the results object. The output displays various stages of the job's progress, including `STARTED`, `RUNNING`, `FINISHED`, and finally, `SUCCESSFUL`, which indicates that the calculation has been completed without any errors." ] }, { "cell_type": "code", "execution_count": 6, "id": "737dfde8-47a6-419a-bf19-cd5ed6e81fe8", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[27.03|10:20:29] JOB BeO STARTED\n", "[27.03|10:20:29] JOB BeO RUNNING\n", "[27.03|10:26:38] JOB BeO FINISHED\n", "[27.03|10:26:38] JOB BeO SUCCESSFUL\n" ] } ], "source": [ "results = job.run()" ] }, { "cell_type": "markdown", "id": "f1e1fb29-d1b9-41db-9d93-124c4d06ddfe", "metadata": {}, "source": [ "The phonon band structure is widely used because it provides a clear understanding of how vibrational modes (phonons) propagate and interact within a crystalline material. \n", "\n", "To visualize the phonon band structure, we can use the `plot_phonons_band_structure` function provided by PLAMS. This function takes the phonon band structure data, which we can obtain from the results object using the `get_phonons_band_structure` method, and generates a plot of the phonon frequencies along the specified high-symmetry path in the Brillouin zone. The `unit=\"cm^-1\"` argument ensures that the frequencies are displayed in units of wavenumbers.\n", "\n", "The `plot_phonons_band_structure` function uses matplotlib for plotting, so we can further customize the plot using matplotlib's functionalities. In this case, we set the y-axis and x-axis labels, and the title of the plot. This plot provides a visual representation of the phonon band structure, allowing us to analyze the dispersion of phonon frequencies across the Brillouin zone and identify key features such as acoustic and optical modes, band gaps, and degeneracies." ] }, { "cell_type": "code", "execution_count": 7, "id": "08e3dc48-c9c2-4e50-a803-0745d0644fee", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scm.plams import plot_phonons_band_structure\n", "\n", "phonons_data = results.get_phonons_band_structure(unit=\"cm^-1\")\n", "ax = plot_phonons_band_structure(*phonons_data)\n", "\n", "ax.set_ylabel(\"Frequency (cm$^{-1}$)\")\n", "ax.set_xlabel(\"Wave Vector\")\n", "ax.set_title(\"BeO Phonons\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "697d9e6a-7a00-4eb8-bd4c-7ca6a17e7284", "metadata": {}, "source": [ "The image displays a comprehensive view of the vibrational properties of BeO. The color lines indicate the dispersion of phonon frequencies across different high-symmetry directions in the Brillouin zone. Distinct branches correspond to acoustic and optical phonon modes: acoustic modes approach zero frequency at the center ($\\Gamma$ point), while optical modes exhibit non-zero frequencies.\n", "\n", "Theoretical results for comparison can be found in [The Computational Raman Database](https://ramandb.oulu.fi/) (mpid: mp-2542)." ] }, { "cell_type": "markdown", "id": "540219bc-7899-4508-b444-d79febc8afd2", "metadata": {}, "source": [ "We can also visualize the phonon density of states (DOS). The following code displays the DOS with a breakdown by atomic species. The function `get_phonons_dos` retrieves the DOS data from the `results` object, with frequencies measured in cm$^{-1}$. Then, the `plot_phonons_dos` function generates the plot, using the parameter `dos_type=\"species\"` to specify that the contributions from different atomic species (in this case, Be and O) should be shown separately. This breakdown allows for an analysis of how each species contributes to the overall property." ] }, { "cell_type": "code", "execution_count": 8, "id": "e41e91be-c2d2-4dff-83c4-0df51d13ac57", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scm.plams import plot_phonons_dos\n", "\n", "phonons_dos_data = results.get_phonons_dos( unit=\"cm-1\" )\n", "ax = plot_phonons_dos(*phonons_dos_data, dos_type=\"species\")\n", "ax.set_ylabel(\"DOS (1/cm$^{-1}$)\")\n", "ax.set_xlabel(\"Energy (cm$^{-1}$)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "bcc4fd7d-dc9f-45cc-a597-8dc08d27589f", "metadata": {}, "source": [ "This figure shows three distinct regions separated by two gaps (no vibrational modes). At lower frequencies, the first region typically has contributions from acoustic and optical modes (confirmed with the phonon band structure above). Optical modes primarily dominate the second and third regions. In particular, we can see the intense characteristic peak associated with wurtzite structures around 650 cm$^{-1}$. This peak is mainly attributed to the E$^2_h$ optical phonon mode, which is quite flat in the band structure. This mode involves vibrations perpendicular to the c-axis and is exclusively Raman-active. Additionally, looking at the partial DOS components, we can see that the Be atoms dominate the highest frequency region." ] }, { "cell_type": "markdown", "id": "e62a7b90-e27a-4449-89e0-a000566b0f26", "metadata": {}, "source": [ "After examining the phonon band structure and the DOS, we will now focus on the thermodynamic properties derived from the latter, as described at the beginning of this tutorial. The following code retrieves the calculated thermodynamic properties from the results object and visualizes them. The `get_phonons_thermodynamic_properties` function extracts the relevant data, specifying energy in units of kJ/mol and entropy and heat capacity in J/K/mol. Next, the `plot_phonons_thermodynamic_properties` function generates a comprehensive plot of these properties as a function of temperature." ] }, { "cell_type": "code", "execution_count": 9, "id": "9d7b745a-908e-475a-b5d6-7f0c5b068f8a", "metadata": {}, "outputs": [ { "data": { "image/png": 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\n", "text/plain": [ "
" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scm.plams import plot_phonons_thermodynamic_properties\n", "\n", "properties_data = results.get_phonons_thermodynamic_properties( properties_unit=[\"kJ/mol\", \"J/K/mol\"] )\n", "ax = plot_phonons_thermodynamic_properties(*properties_data)\n", "ax.set_ylabel(\"Thermodynamic Properties\")\n", "ax.set_xlabel(\"Temperature (K)\")\n", "\n", "plt.show()" ] }, { "cell_type": "markdown", "id": "ab3214c9-5844-4530-b96e-5325bcc29b19", "metadata": {}, "source": [ "These properties offer valuable insights into the thermal behavior of the material. From the previous figure, we can see a couple of interesting features:\n", "\n", "Firstly, the internal energy ($U$) increases steadily with temperature, starting from the Zero Point Energy (ZPE) at 0 K (44.70 kJ/mol). This trend aligns with the increase in vibrational energy of the atoms as the temperature rises.\n", "\n", "Secondly, the specific heat ($C_v$) exhibits a characteristic behavior commonly observed in many solids. It increases rapidly at low temperatures due to the gradual excitation of vibrational modes. As the temperature continues to rise, the specific heat approaches a plateau known as the Dulong-Petit limit. This limit represents the classical regime in which all vibrational modes are fully excited. For BeO, our calculations indicate that the Dulong-Petit limit is approximately 99.77 J/K/mol of unit cells, which corresponds to 3n*R, where n is the number of atoms per unit cell and R is the ideal gas constant. To express this limit per mole of atoms, as is traditionally done, we divide by n to arrive at the well-known value of 3R." ] }, { "cell_type": "markdown", "id": "53dc31b0-c1bd-4933-924a-05cc1a6e0a49", "metadata": {}, "source": [ "The analytical approach to phonon calculations using DFPT is efficient, but AMS also offers the option to perform numerical phonon calculations. While this numerical method is more computationally intensive (taking roughly twice longer than the analytical version) it can be valuable for specific scenarios or for validating the results obtained from analytical calculations. For those interested in exploring this alternative method, the following code demonstrates how to set up and execute a numerical phonon calculation, along with the corresponding results." ] }, { "cell_type": "code", "execution_count": 10, "id": "a33d28b9-6829-4e76-bd79-04fc0ab6bc40", "metadata": {}, "outputs": [ { "name": "stdout", "output_type": "stream", "text": [ "[27.03|10:26:39] JOB BeO_num STARTED\n", "[27.03|10:26:39] JOB BeO_num RUNNING\n", "[27.03|10:39:37] JOB BeO_num FINISHED\n", "[27.03|10:39:37] JOB BeO_num SUCCESSFUL\n" ] }, { "data": { "image/png": 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\n", 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" ] }, "metadata": { "needs_background": "light" }, "output_type": "display_data" } ], "source": [ "from scm.plams import Settings, AMSJob\n", "from scm.plams import plot_phonons_band_structure\n", "\n", "s = Settings()\n", "s.input.ams.Task = \"GeometryOptimization\"\n", "s.input.ams.Properties.Phonons = \"Yes\"\n", "s.input.ams.Phonons.Method = \"Numerical\"\n", "s.input.ams.NumericalPhonons.SuperCell._1 = \"2 0 0\"\n", "s.input.ams.NumericalPhonons.SuperCell._2 = \"0 2 0\"\n", "s.input.ams.NumericalPhonons.SuperCell._3 = \"0 0 2\"\n", "s.input.QuantumEspresso.System.ecutwfc = 25.0\n", "s.input.QuantumEspresso.K_Points._h = \"automatic\"\n", "s.input.QuantumEspresso.K_Points._1 = \"4 4 3 0 0 0\"\n", "\n", "job_num = AMSJob(settings=s, molecule=mol, name=\"BeO_num\")\n", "results_num = job_num.run()\n", "\n", "phonons_data = results_num.get_phonons_band_structure(unit=\"cm^-1\")\n", "ax = plot_phonons_band_structure(*phonons_data)\n", "\n", "ax.set_ylabel(\"Frequency (cm$^{-1}$)\")\n", "ax.set_xlabel(\"Wave Vector\")\n", "ax.set_title(\"BeO Numerical Phonons\")\n", "\n", "plt.show()" ] } ], "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": "3.8.12" } }, "nbformat": 4, "nbformat_minor": 5 }