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xrayutilities_peak_angles_beamtime.py @upstream/1.7.1+git20210715.1.9ac4344raw · history · blame

# This file is part of xrayutilities.
#
# xrayutilities 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 2 of the License, or
# (at your option) any later version.
#
# This program 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 this program; if not, see <http://www.gnu.org/licenses/>.
#
# Copyright (C) 2012 Dominik Kriegner <dominik.kriegner@gmail.com>

from math import sqrt

import numpy
import xrayutilities as xu

# define elements
In = xu.materials.elements.In
P = xu.materials.elements.P

# define materials
InP = xu.materials.InP
InPWZ = xu.materials.InPWZ

# approximate version of other hexagonal polytypes
ainp = InP.a
InP4H = xu.materials.Crystal(
    "InP(4H)",
    xu.materials.SGLattice(186, ainp / sqrt(2), 2 * sqrt(4/3.) * ainp,
                           atoms=[In, In, P, P],
                           pos=[('2a', 0), ('2b', 1/4.),
                                ('2a', 3/16.), ('2b', 7/16.)]))

for energy in [8041]:  # eV

    lam = xu.en2lam(energy)  # e in eV -> lam in angstrom
    print('         %d eV = %8.4f A' % (energy, lam))
    print('------------------------------------------------------------------'
          '-----------------')
    print('material |         peak    |   omega  |  2theta  |    phi   |   '
          'tt-om  |     |F|   ')
    print('------------------------------------------------------------------'
          '-----------------')

    exp111 = xu.HXRD(InP.Q(1, 1, -2), InP.Q(1, 1, 1), en=energy)
    exphex = xu.HXRD(InPWZ.Q(1, -1, 0), InPWZ.Q(0, 0, 1), en=energy)

    # InP ZB reflections
    reflections = [[1, 1, 1], [2, 2, 2], [3, 3, 3],
                   [3, 3, 1], [2, 2, 4], [1, 1, 5]]
    mat = InP
    for hkl in reflections:
        qvec = mat.Q(hkl)
        [om, chi, phi, tt] = exp111.Q2Ang(qvec, trans=True)
        F = mat.StructureFactor(qvec, exp111._en)
        F /= mat.lattice.UnitCellVolume()
        print('%8s | %15s | %8.4f | %8.4f | %8.4f | %8.4f | %8.2f '
              % (mat.name, ' '.join(map(str, numpy.round(hkl, 2))), om, tt,
                 phi, tt - om, numpy.abs(F)))

    print('------------------------------------------------------------------'
          '-----------------')
    # InP WZ reflections
    reflections = [[0, 0, 2], [0, 0, 4], [1, -1, 4], [1, -1, 5], [1, -1, 6]]
    mat = InPWZ
    for hkl in reflections:
        qvec = mat.Q(hkl)
        [om, chi, phi, tt] = exphex.Q2Ang(qvec, trans=True)
        F = mat.StructureFactor(qvec, exphex._en)
        F /= mat.lattice.UnitCellVolume()
        print('%8s | %15s | %8.4f | %8.4f | %8.4f | %8.4f | %8.2f '
              % (mat.name, ' '.join(map(str, numpy.round(hkl, 2))), om, tt,
                 phi, tt - om, numpy.abs(F)))

    print('------------------------------------------------------------------'
          '-----------------')
    # InP 4H
    reflections = [[0, 0, 4], [0, 0, 8], [1, -1, 9], [1, -1, 10], [1, -1, 11]]
    mat = InP4H
    for hkl in reflections:
        qvec = mat.Q(hkl)
        [om, chi, phi, tt] = exphex.Q2Ang(qvec, trans=True)
        F = mat.StructureFactor(qvec, exphex._en)
        F /= mat.lattice.UnitCellVolume()
        print('%8s | %15s | %8.4f | %8.4f | %8.4f | %8.4f | %8.2f '
              % (mat.name, ' '.join(map(str, numpy.round(hkl, 2))), om, tt,
                 phi, tt - om, numpy.abs(F)))

    print('------------------------------------------------------------------'
          '-----------------')