diff --git a/notebooks/fitting.ipynb b/notebooks/fitting.ipynb index 8c8684a..89ab13c 100644 --- a/notebooks/fitting.ipynb +++ b/notebooks/fitting.ipynb @@ -83,7 +83,7 @@ " warnings.warn(\n", "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:59: LockedWarning: __setattr__ called on , but object is locked!\n", " warnings.warn(\n", - "2024-06-07 19:06:27,646 - pyiron_log - WARNING - The job ferro is being loaded instead of running. To re-run use the argument 'delete_existing_job=True in create_job'\n", + "2024-06-14 06:46:44,514 - pyiron_log - WARNING - The job ferro is being loaded instead of running. To re-run use the argument 'delete_existing_job=True in create_job'\n", "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:97: UserWarning: Unlock previously locked object!\n", " self.owner.read_only = False\n", "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:320: UserWarning: Unlock previously locked object!\n", @@ -122,7 +122,7 @@ " warnings.warn(\n", "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:59: LockedWarning: __setattr__ called on , but object is locked!\n", " warnings.warn(\n", - "2024-06-07 19:06:37,796 - pyiron_log - WARNING - The job antiferro is being loaded instead of running. To re-run use the argument 'delete_existing_job=True in create_job'\n", + "2024-06-14 06:46:50,358 - pyiron_log - WARNING - The job antiferro is being loaded instead of running. To re-run use the argument 'delete_existing_job=True in create_job'\n", "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:97: UserWarning: Unlock previously locked object!\n", " self.owner.read_only = False\n", "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:320: UserWarning: Unlock previously locked object!\n", @@ -166,103 +166,6 @@ "plt.plot(spx_af.output.generic.dft.atom_scf_spins[0]);" ] }, - { - "cell_type": "markdown", - "id": "61269c23", - "metadata": {}, - "source": [ - "### Third case: double layer anti-ferromagnetic structure\n", - "\n", - "First of all, we need to repeat the structure in one direction, in order to make it possible to create a double layer structure. Here, we repeat the structure along the $z$-direction" - ] - }, - { - "cell_type": "code", - "execution_count": 7, - "id": "6266935a", - "metadata": {}, - "outputs": [], - "source": [ - "structure_daf = bulk.repeat([1, 1, 2])" - ] - }, - { - "cell_type": "markdown", - "id": "356da208", - "metadata": {}, - "source": [ - "There are several ways to make a double layer structure. One is to count the layers in the structure along the direction of " - ] - }, - { - "cell_type": "code", - "execution_count": 8, - "id": "200729c0", - "metadata": {}, - "outputs": [], - "source": [ - "m = np.array(len(structure_daf) * [2])\n", - "layers = structure_daf.analyse.get_layers(planes=[0, 0, 1])\n", - "m[layers < 2] *= -1" - ] - }, - { - "cell_type": "code", - "execution_count": 9, - "id": "3683ecbb", - "metadata": {}, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:59: LockedWarning: __setitem__ called on , but object is locked!\n", - " warnings.warn(\n", - "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:59: LockedWarning: __setattr__ called on , but object is locked!\n", - " warnings.warn(\n", - "2024-06-07 19:06:43,049 - pyiron_log - WARNING - The job d_antiferro is being loaded instead of running. To re-run use the argument 'delete_existing_job=True in create_job'\n", - "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:97: UserWarning: Unlock previously locked object!\n", - " self.owner.read_only = False\n", - "/home/jovyan/dev/pyiron_base/pyiron_base/interfaces/lockable.py:320: UserWarning: Unlock previously locked object!\n", - " it.read_only = False\n" - ] - } - ], - "source": [ - "spx_adf = pr.create.job.Sphinx(\"d_antiferro\")\n", - "spx_adf.structure = structure_daf.copy()\n", - "spx_adf.structure.set_initial_magnetic_moments(m)\n", - "spx_adf.set_encut(500)\n", - "spx_adf.set_kpoints(k_mesh_spacing=0.15)\n", - "spx_adf.run()" - ] - }, - { - "cell_type": "code", - "execution_count": 10, - "id": "b1245af5", - "metadata": {}, - "outputs": [ - { - "data": { - "image/png": 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", - "text/plain": [ - "
" - ] - }, - "metadata": {}, - "output_type": "display_data" - } - ], - "source": [ - "# Again, make sure that the magnetic moments were stable\n", - "\n", - "plt.xlabel(\"Steps\")\n", - "plt.ylabel(\"Magnetic moment\")\n", - "plt.grid()\n", - "plt.plot(spx_adf.output.generic.dft.atom_scf_spins[0]);" - ] - }, { "cell_type": "markdown", "id": "f418b225-1c08-4a41-9507-26fcb172fac7", @@ -275,7 +178,7 @@ }, { "cell_type": "code", - "execution_count": 11, + "execution_count": 7, "id": "76b937b3-4688-4f08-a7b2-c0f03ee11630", "metadata": {}, "outputs": [ @@ -283,7 +186,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "2024-06-07 19:06:47,713 - pyiron_log - WARNING - The job nonmag is being loaded instead of running. To re-run use the argument 'delete_existing_job=True in create_job'\n" + "2024-06-14 06:46:55,008 - pyiron_log - WARNING - The job nonmag is being loaded instead of running. To re-run use the argument 'delete_existing_job=True in create_job'\n" ] } ], @@ -325,13 +228,13 @@ }, { "cell_type": "code", - "execution_count": 12, + "execution_count": 8, "id": "05151e81", "metadata": {}, "outputs": [], "source": [ "class EvaluateJob:\n", - " def __init__(self, job, n_shells=2):\n", + " def __init__(self, job, n_shells=1):\n", " self.ref_job = job\n", " self.n_shells = n_shells\n", "\n", @@ -370,19 +273,19 @@ }, { "cell_type": "code", - "execution_count": 13, + "execution_count": 9, "id": "86177998", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "413c8a0da60241ebba9e895af248442b", + "model_id": "69dc892a5c594225a2cd583002a7cb0a", "version_major": 2, "version_minor": 0 }, "text/plain": [ - " 0%| | 0/3 [00:00" ] @@ -469,13 +361,13 @@ }, { "cell_type": "code", - "execution_count": 19, + "execution_count": 13, "id": "4ada1b24-37c4-48aa-b696-22f8c0e753b7", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -502,7 +394,7 @@ }, { "cell_type": "code", - "execution_count": 20, + "execution_count": 14, "id": "4f1d238d", "metadata": {}, "outputs": [], @@ -512,7 +404,7 @@ }, { "cell_type": "code", - "execution_count": 26, + "execution_count": 15, "id": "e028a56b", "metadata": {}, "outputs": [], @@ -522,7 +414,7 @@ }, { "cell_type": "code", - "execution_count": 27, + "execution_count": 16, "id": "eb9de0cc-3d7e-4acb-bbd6-f5fee6e09f7d", "metadata": {}, "outputs": [], @@ -541,14 +433,14 @@ }, { "cell_type": "code", - "execution_count": 28, + "execution_count": 17, "id": "5ba0110c-33d7-47ee-ab53-ad11a9fe93ee", "metadata": {}, "outputs": [ { "data": { "application/vnd.jupyter.widget-view+json": { - "model_id": "27f1d5a9b28143c6bd56655132548740", + "model_id": "8a1ef3b18f624fad8dd0f98877829d87", "version_major": 2, "version_minor": 0 }, @@ -571,13 +463,13 @@ }, { "cell_type": "code", - "execution_count": 29, + "execution_count": 18, "id": "053eea35", "metadata": {}, "outputs": [ { "data": { - "image/png": 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", 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", 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" ] @@ -600,10 +492,8 @@ "source": [ "As you can see in the figure above, the transition temperature is fairly different from the experimental Curie temperature (~1,000 K). But I list a few items that probably have played a role, with varying effects.\n", "\n", - "- DFT parameters (k-points, k-space cutoff) were not adequately chosen\n", - "- Only up to the second shell was considered\n", + "- Only the first shell was considered\n", "- Data set consisted of only 3 points\n", - "- No longitudinal contribution was included\n", "- Temperature effects (vibration, thermal expansion) not included\n", "\n", "Probably by properly taking care of the first three points, we can achive much better results."