Bravais lattices

Examples

lattice_example([lattice_name, convention])

Return an example of the lattice.

Constructors

CUB(a[, return_cell])	Construct cubic primitive lattice.
FCC(a[, return_cell])	Construct face-centred cubic primitive lattice.
BCC(a[, return_cell])	Construct body-centred cubic primitive lattice.
TET(a, c[, return_cell])	Construct tetragonal primitive lattice.
BCT(a, c[, return_cell])	Construct body-centred tetragonal primitive lattice.
ORC(a, b, c[, return_cell])	Construct orthorhombic primitive lattice.
ORCF(a, b, c[, return_cell])	Construct face-centred orthorhombic primitive lattice.
ORCI(a, b, c[, return_cell])	Construct body-centred orthorhombic primitive lattice.
ORCC(a, b, c[, return_cell])	Construct base-centred orthorhombic primitive lattice.
HEX(a, c[, return_cell])	Construct hexagonal primitive lattice.
RHL(a, alpha[, return_cell])	Construct rhombohedral primitive lattice.
MCL(a, b, c, alpha[, return_cell])	Construct monoclinic primitive lattice.
MCLC(a, b, c, alpha[, return_cell])	Construct base-centred monoclinic primitive lattice.
TRI(a, b, c, alpha, beta, gamma[, ...])	Construct triclinic primitive lattice.

High-symmetry k points

CUB_hs_points()	Get high-symmetry points for the CUB lattice.
FCC_hs_points()	Get high-symmetry points for the FCC lattice.
BCC_hs_points()	Get high-symmetry points for the CUB lattice.
TET_hs_points()	Get high-symmetry points for the TET lattice.
BCT_hs_points(variation, conv_a, conv_c)	Get high-symmetry points for the BCT lattice.
ORC_hs_points()	Get high-symmetry points for the ORC lattice.
ORCF_hs_points(variation, conv_a, conv_b, conv_c)	Get high-symmetry points for the ORCF lattice.
ORCI_hs_points(conv_a, conv_b, conv_c)	Get high-symmetry points for the ORCI lattice.
ORCC_hs_points(conv_a, conv_b)	Get high-symmetry points for the ORCC lattice.
HEX_hs_points()	Get high-symmetry points for the HEX lattice.
RHL_hs_points(variation, conv_alpha)	Get high-symmetry points for the RHL lattice.
MCL_hs_points(conv_b, conv_c, conv_alpha)	Get high-symmetry points for the MCL lattice.
MCLC_hs_points(variation, conv_a, conv_b, ...)	Get high-symmetry points for the MCLC lattice.
TRI_hs_points(variation)	Get high-symmetry points for the TRI lattice.

Cell`s standardization

get_S_matrix(cell, correct_lattice_type[, ...])	Analyse arbitrary cell and redefine it if required to ensure the unique choice of lattice vectors.
CUB_get_S_matrix(cell[, rtol, atol])	For arbitrary cubic cell returns matrix S that transforms it to the standardized form.
FCC_get_S_matrix(cell[, rtol, atol])	For arbitrary face-centered cubic cell returns matrix S that transforms it to the standardized form.
BCC_get_S_matrix(cell[, rtol, atol])	For arbitrary body-centered cubic cell returns matrix S that transforms it to the standardized form.
TET_get_S_matrix(cell[, rtol, atol])	For arbitrary tetragonal cell returns matrix S that transforms it to the standardized form.
BCT_get_S_matrix(cell[, rtol, atol])	For arbitrary body-centered tetragonal cell returns matrix S that transforms it to the standardized form.
ORC_get_S_matrix(cell[, rtol, atol])	For arbitrary orthorhombic cell returns matrix S that transforms it to the standardized form.
ORCF_get_S_matrix(cell[, rtol, atol])	For arbitrary face-centered orthorhombic cell returns matrix S that transforms it to the standardized form.
ORCI_get_S_matrix(cell[, rtol, atol])	For arbitrary body-centered orthorhombic cell returns matrix S that transforms it to the standardized form.
ORCC_get_S_matrix(cell[, rtol, atol])	For arbitrary base-centered orthorhombic cell returns matrix S that transforms it to the standardized form.
HEX_get_S_matrix(cell[, rtol, atol])	For arbitrary hexagonal cell returns matrix S that transforms it to the standardized form.
RHL_get_S_matrix(cell[, rtol, atol])	For arbitrary rhombohedral cell returns matrix S that transforms it to the standardized form.
MCL_get_S_matrix(cell[, rtol, atol])	For arbitrary monoclinic cell returns matrix S that transforms it to the standardized form.
MCLC_get_S_matrix(cell[, rtol, atol])	For arbitrary base-centered monoclinic cell returns matrix S that transforms it to the standardized form.
TRI_get_S_matrix(cell[, rtol, atol])	For arbitrary triclinic cell returns matrix S that transforms it to the standardized form.

Lattice variations

BCT_variation(conv_a, conv_c)	Two variations of the BCT lattice.
ORCF_variation(conv_a, conv_b, conv_c, eps)	Three variations of the ORCF lattice.
RHL_variation(conv_alpha, eps)	Two variations of the RHL lattice.
MCLC_variation(conv_a, conv_b, conv_c, ...)	Five variation of the MCLC lattice.
TRI_variation(k_alpha, k_beta, k_gamma, eps)	Four variations of the TRI lattice.