Source:
#
# Copyright (c) 2013-2014, Scott J Maddox
#
# This file is part of openbandparams.
#
# openbandparams is free software: you can redistribute it and/or modify
# it under the terms of the GNU Affero General Public License as published
# by the Free Software Foundation, either version 3 of the License, or
# (at your option) any later version.
#
# openbandparams 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 Affero General Public License for more details.
#
# You should have received a copy of the GNU Affero General Public License
# along with openbandparams. If not, see <http://www.gnu.org/licenses/>.
#
#############################################################################
# Make sure we import the local openbandparams version
import os
import sys
sys.path.insert(0,
os.path.abspath(os.path.join(os.path.dirname(__file__), '../..')))
from openbandparams import *
import matplotlib.pyplot as plt
import numpy
T = 300
# initialize the plot
fig = plt.figure()
ax = fig.add_subplot(111)
plt.xlabel('Lattice Parameter at %g K ($\AA$)' % T)
plt.ylabel('Band Offset at %g K (eV)' % T)
# plot the binaries
x = []
y = []
label = []
for b in [AlAs, GaAs, InAs,
AlSb, GaSb, InSb]:
x.append(b.a(T=T))
y.append(b.Eg(T=T) + b.VBO(T=T))
label.append(b.name)
ax.plot(x, y, 'b.')
# label the binaries
for x, y, label in zip(x, y, label):
ax.annotate(label, xy=(x, y), xytext=(-5, 5), ha='right', va='bottom',
bbox=dict(linewidth=0, fc='white', alpha=0.9),
textcoords='offset points')
# plot the ternaries
indices = numpy.arange(100)
fractions = numpy.linspace(0, 1, 100)
x = numpy.empty(100, dtype=numpy.float)
y = numpy.empty(100, dtype=numpy.float)
for tern in [AlGaAs, AlInAs, GaInAs,
AlGaSb, AlInSb, GaInSb,
AlAsSb, GaAsSb, InAsSb]:
for i, f in zip(indices, fractions):
instance = tern(x=f)
x[i] = instance.a(T=T)
y[i] = instance.Eg(T=T) + instance.VBO(T=T)
ax.plot(x, y, 'b-')
# plot the binaries
x = []
y = []
label = []
for b in [AlAs, GaAs, InAs,
AlSb, GaSb, InSb]:
x.append(b.a(T=T))
y.append(b.VBO(T=T))
label.append(b.name)
ax.plot(x, y, 'r.')
# label the binaries
for x, y, label in zip(x, y, label):
ax.annotate(label, xy=(x, y), xytext=(-5, 5), ha='right', va='bottom',
bbox=dict(linewidth=0, fc='white', alpha=0.9),
textcoords='offset points')
# plot the ternaries
indices = numpy.arange(100)
fractions = numpy.linspace(0, 1, 100)
x = numpy.empty(100, dtype=numpy.float)
y = numpy.empty(100, dtype=numpy.float)
for tern in [AlGaAs, AlInAs, GaInAs,
AlGaSb, AlInSb, GaInSb,
AlAsSb, GaAsSb, InAsSb]:
for i, f in zip(indices, fractions):
instance = tern(x=f)
x[i] = instance.a(T=T)
y[i] = instance.VBO(T=T)
ax.plot(x, y, 'r-')
xmin, xmax = plt.xlim()
plt.xlim(xmin - 0.05, xmax)
if __name__ == '__main__':
import sys
if len(sys.argv) > 1:
output_filename = sys.argv[1]
plt.savefig(output_filename)
else:
plt.show()
Result: