Source code for easistrain.func_tthdspacing

# -*- coding: utf-8 -*-
"""
Created on Thu May 20 09:24:46 2021

@author: slim
"""

import numpy

# This function calculte the d-spacing of a plane of a cubic structure
# a is the lattice parameter of the structure in micron
# h, k and l are the miller indices of the crystallographic plane
# e is the eneregy in keV




def cubicdspacing(e, a, h, k, l):
    d = a / (numpy.sqrt((h**2) + (k**2) + (l**2)))
    theta = numpy.arcsin(0.0012398 / (2 * e * d))
    return d, theta



# This function calculate the d-spacing of a plane of a hexagonal structure
# a and c are the lattice parameters of the structure in micron
# h, k and l are the miller indices of the crystallographic plane
# e is the eneregy in keV




def hexdspacing(e, a, c, h, k, l):
    d = numpy.sqrt(
        1 / ((4 / 3) * (((h**2) + h * k + (k**2)) / (a**2)) + ((l**2) / (c**2)))
    )
    theta = numpy.arcsin(0.0012398 / (2 * e * d))
    return d, theta