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#!/usr/bin/env python3 | ||
## vi: tabstop=4 shiftwidth=4 softtabstop=4 expandtab | ||
## --------------------------------------------------------------------- | ||
## | ||
## Copyright (C) 2020 by the adcc authors | ||
## | ||
## This file is part of adcc. | ||
## | ||
## adcc is free software: you can redistribute it and/or modify | ||
## it under the terms of the GNU General Public License as published | ||
## by the Free Software Foundation, either version 3 of the License, or | ||
## (at your option) any later version. | ||
## | ||
## adcc is distributed in the hope that it will be useful, | ||
## but WITHOUT ANY WARRANTY; without even the implied warranty of | ||
## MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE. See the | ||
## GNU General Public License for more details. | ||
## | ||
## You should have received a copy of the GNU General Public License | ||
## along with adcc. If not, see <http://www.gnu.org/licenses/>. | ||
## | ||
## --------------------------------------------------------------------- | ||
import warnings | ||
import numpy as np | ||
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from .misc import cached_property | ||
from .timings import timed_member_call | ||
from .visualisation import ExcitationSpectrum | ||
from .OneParticleOperator import product_trace | ||
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from scipy import constants | ||
from matplotlib import pyplot as plt | ||
from .Excitation import mark_excitation_property | ||
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class ElectronicTransition: | ||
""" | ||
Documentation | ||
""" | ||
@cached_property | ||
@mark_excitation_property() | ||
@timed_member_call(timer="_property_timer") | ||
def transition_dipole_moment(self): | ||
"""List of transition dipole moments of all computed states""" | ||
if self.property_method.level == 0: | ||
warnings.warn("ADC(0) transition dipole moments are known to be " | ||
"faulty in some cases.") | ||
dipole_integrals = self.operators.electric_dipole | ||
return np.array([ | ||
[product_trace(comp, tdm) for comp in dipole_integrals] | ||
for tdm in self.transition_dm | ||
]) | ||
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@cached_property | ||
@mark_excitation_property() | ||
@timed_member_call(timer="_property_timer") | ||
def transition_dipole_moment_velocity(self): | ||
"""List of transition dipole moments in the | ||
velocity gauge of all computed states""" | ||
if self.property_method.level == 0: | ||
warnings.warn("ADC(0) transition velocity dipole moments " | ||
"are known to be faulty in some cases.") | ||
dipole_integrals = self.operators.nabla | ||
return np.array([ | ||
[product_trace(comp, tdm) for comp in dipole_integrals] | ||
for tdm in self.transition_dm | ||
]) | ||
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@cached_property | ||
@mark_excitation_property() | ||
@timed_member_call(timer="_property_timer") | ||
def transition_magnetic_dipole_moment(self): | ||
"""List of transition magnetic dipole moments of all computed states""" | ||
if self.property_method.level == 0: | ||
warnings.warn("ADC(0) transition magnetic dipole moments " | ||
"are known to be faulty in some cases.") | ||
mag_dipole_integrals = self.operators.magnetic_dipole | ||
return np.array([ | ||
[product_trace(comp, tdm) for comp in mag_dipole_integrals] | ||
for tdm in self.transition_dm | ||
]) | ||
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@cached_property | ||
@mark_excitation_property() | ||
def oscillator_strength(self): | ||
"""List of oscillator strengths of all computed states""" | ||
return 2. / 3. * np.array([ | ||
np.linalg.norm(tdm)**2 * np.abs(ev) | ||
for tdm, ev in zip(self.transition_dipole_moment, | ||
self.excitation_energy) | ||
]) | ||
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@cached_property | ||
@mark_excitation_property() | ||
def oscillator_strength_velocity(self): | ||
"""List of oscillator strengths in | ||
velocity gauge of all computed states""" | ||
return 2. / 3. * np.array([ | ||
np.linalg.norm(tdm)**2 / np.abs(ev) | ||
for tdm, ev in zip(self.transition_dipole_moment_velocity, | ||
self.excitation_energy) | ||
]) | ||
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@cached_property | ||
@mark_excitation_property() | ||
def rotatory_strength(self): | ||
"""List of rotatory strengths of all computed states""" | ||
return np.array([ | ||
np.dot(tdm, magmom) / ee | ||
for tdm, magmom, ee in zip(self.transition_dipole_moment_velocity, | ||
self.transition_magnetic_dipole_moment, | ||
self.excitation_energy) | ||
]) | ||
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@property | ||
@mark_excitation_property() | ||
def cross_section(self): | ||
"""List of one-photon absorption cross sections of all computed states""" | ||
# TODO Source? | ||
fine_structure = constants.fine_structure | ||
fine_structure_au = 1 / fine_structure | ||
prefac = 2.0 * np.pi ** 2 / fine_structure_au | ||
return prefac * self.oscillator_strength | ||
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def plot_spectrum(self, broadening="lorentzian", xaxis="eV", | ||
yaxis="cross_section", width=0.01, **kwargs): | ||
"""One-shot plotting function for the spectrum generated by all states | ||
known to this class. | ||
Makes use of the :class:`adcc.visualisation.ExcitationSpectrum` class | ||
in order to generate and format the spectrum to be plotted, using | ||
many sensible defaults. | ||
Parameters | ||
---------- | ||
broadening : str or None or callable, optional | ||
The broadening type to used for the computed excitations. | ||
A value of None disables broadening any other value is passed | ||
straight to | ||
:func:`adcc.visualisation.ExcitationSpectrum.broaden_lines`. | ||
xaxis : str | ||
Energy unit to be used on the x-Axis. Options: | ||
["eV", "au", "nm", "cm-1"] | ||
yaxis : str | ||
Quantity to plot on the y-Axis. Options are "cross_section", | ||
"osc_strength", "dipole" (plots norm of transition dipole), | ||
"rotational_strength" (ECD spectrum with rotational strength) | ||
width : float, optional | ||
Gaussian broadening standard deviation or Lorentzian broadening | ||
gamma parameter. The value should be given in atomic units | ||
and will be converted to the unit of the energy axis. | ||
""" | ||
if xaxis == "eV": | ||
eV = constants.value("Hartree energy in eV") | ||
energies = self.excitation_energy * eV | ||
width = width * eV | ||
xlabel = "Energy (eV)" | ||
elif xaxis in ["au", "Hartree", "a.u."]: | ||
energies = self.excitation_energy | ||
xlabel = "Energy (au)" | ||
elif xaxis == "nm": | ||
hc = constants.h * constants.c | ||
Eh = constants.value("Hartree energy") | ||
energies = hc / (self.excitation_energy * Eh) * 1e9 | ||
xlabel = "Wavelength (nm)" | ||
if broadening is not None and not callable(broadening): | ||
raise ValueError("xaxis=nm and broadening enabled is " | ||
"not supported.") | ||
elif xaxis in ["cm-1", "cm^-1", "cm^{-1}"]: | ||
towvn = constants.value("hartree-inverse meter relationship") / 100 | ||
energies = self.excitation_energy * towvn | ||
width = width * towvn | ||
xlabel = "Wavenumbers (cm^{-1})" | ||
else: | ||
raise ValueError("Unknown xaxis specifier: {}".format(xaxis)) | ||
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if yaxis in ["osc", "osc_strength", "oscillator_strength", "f"]: | ||
absorption = self.oscillator_strength | ||
ylabel = "Oscillator strengths (au)" | ||
elif yaxis in ["dipole", "dipole_norm", "μ"]: | ||
absorption = np.linalg.norm(self.transition_dipole_moment, axis=1) | ||
ylabel = "Modulus of transition dipole (au)" | ||
elif yaxis in ["cross_section", "σ"]: | ||
absorption = self.cross_section | ||
ylabel = "Cross section (au)" | ||
elif yaxis in ["rot", "rotational_strength", "rotatory_strength"]: | ||
absorption = self.rotatory_strength | ||
ylabel = "Rotatory strength (au)" | ||
else: | ||
raise ValueError("Unknown yaxis specifier: {}".format(yaxis)) | ||
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sp = ExcitationSpectrum(energies, absorption) | ||
sp.xlabel = xlabel | ||
sp.ylabel = ylabel | ||
if not broadening: | ||
plots = sp.plot(style="discrete", **kwargs) | ||
else: | ||
kwdisc = kwargs.copy() | ||
kwdisc.pop("label", "") | ||
plots = sp.plot(style="discrete", **kwdisc) | ||
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kwargs.pop("color", "") | ||
sp_broad = sp.broaden_lines(width, shape=broadening) | ||
plots.extend(sp_broad.plot(color=plots[0].get_color(), | ||
style="continuous", **kwargs)) | ||
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if xaxis in ["nm"]: | ||
# Invert x axis | ||
plt.xlim(plt.xlim()[::-1]) | ||
return plots |
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