StructureFactors#

class de_ebsd.crystal.StructureFactors(crystal, energy_kev, dmin, hmax, ucg_lut, v0, upz0, wavelength, hkl, g, d, ucg)[source]#

Structure factors of a crystal at one beam energy (inspectable stage).

Attributes:

crystal, energy_kev, dmin: The inputs that produced this table.
hmax: Largest Miller index with d >= dmin along any axis; the lookup table spans -2 hmax .. 2 hmax per axis so any difference of two reflections in the sphere is available.
ucg_lut: Complex U_g in nm^-2, shape (4 hmax + 1,) * 3, indexed [h + 2 hmax, k + 2 hmax, l + 2 hmax].
v0: Mean inner potential in volts.
upz0: Normal absorption coefficient U’_0 in nm^-2.
wavelength: Relativistic electron wavelength in nm, refraction corrected with v0.
normal_absorption_length: Normal absorption length 1 / (U’_0 lambda) in nm.
hkl, g, d, ucg: Flat listing of the reflections with 0 < g and d >= dmin that are allowed by the lattice centering, sorted by g: Miller indices (N, 3), lengths (N,) in nm^-1, spacings (N,) in nm and complex U_g (N,).

Methods

`families`	Group the reflection list by `\|g\|`; representative hkl, g, and U_g.
`lookup`	U_g for Miller indices (..., 3); indices must lie within the table.
`show`	Bar chart of `\|U_g\|` for the first `n` reflection families.

Attributes

`normal_absorption_length`	Normal absorption length 1 / (U'_0 lambda) in nm.
`crystal`
`energy_kev`
`dmin`
`hmax`
`ucg_lut`
`v0`
`upz0`
`wavelength`
`hkl`
`g`
`d`
`ucg`

families(n=None)[source]#

Group the reflection list by |g|; representative hkl, g, and U_g.

Returns the first n (or all) families sorted by g length.

lookup(hkl)[source]#: U_g for Miller indices (…, 3); indices must lie within the table.

property normal_absorption_length#: Normal absorption length 1 / (U’_0 lambda) in nm.

show(n=25)[source]#

Bar chart of |U_g| for the first n reflection families.

Systematic absences appear as (near-)zero bars.