neutronpy.crystal.lattice.Lattice¶

class neutronpy.crystal.lattice.Lattice(a, b, c, alpha, beta, gamma)[source]¶

Class to describe a generic lattice system defined by lattice six parameters, (three constants and three angles).

Parameters:	a : float Lattice constant a in Å b : float Lattice constant b in Å c : float Lattice constant c in Å alpha : float Lattice angle 𝛼 in degrees beta : float Lattice angle 𝛽 in degrees gamma : float Lattice angle 𝛾 in degrees
Returns:	lattice : object Object containing lattice information
Attributes:	`a` First lattice constant in Angstrom `b` Second lattice constant in Angstrom `c` Third lattice constant in Angstrom `astar` First inverse lattice constant in inverse Angstrom `bstar` Second inverse lattice constant in inverse Angstrom `cstar` Third inverse lattice constant in inverse Angstrom `alpha` First lattice angle in degrees `beta` Second lattice angle in degrees `gamma` Third lattice angle in degrees `alpha_rad` First lattice angle in radians `beta_rad` Second lattice angle in radians `gamma_rad` Third lattice angle in radians `alphastar` First inverse lattice angle in degrees `betastar` First inverse lattice angle in degrees `gammastar` First inverse lattice angle in degrees `alphastar_rad` First inverse lattice angle in radians `betastar_rad` Second inverse lattice angle in radians `gammastar_rad` Third inverse lattice angle in radians `abg_rad` Lattice angles in radians returned in list `reciprocal_abc` Reciprocal lattice constants in inverse Angstrom returned in list `reciprocal_abg` Reciprocal lattice angles in degrees returned in list `reciprocal_abg_rad` Reciprocal lattice angles in radians returned in list `lattice_type` Type of lattice determined by the provided lattice constants and angles `volume` Volume of the unit cell in Å³ `reciprocal_volume` Volume of the reciprocal unit cell in (Å^-1)³ `G` Metric tensor of the real space lattice `Gstar` Metric tensor of the reciprocal lattice `Bmatrix` Cartesian basis matrix in reciprocal units such that

Methods

`get_d_spacing`(hkl)	Returns the d-spacing of a given reciprocal lattice vector.
`get_q`(hkl)	Returns the magnitude of Q for a given reciprocal lattice vector in Å^-1.
`get_two_theta`(hkl, wavelength)	Returns the detector angle 2𝜃 for a given reciprocal lattice vector and incident wavelength.
`get_angle_between_planes`(v1, v2)	Returns the angle \(\phi\) between two reciprocal lattice vectors (or planes as defined by the vectors normal to the plane).