sknano.core.crystallography.Crystal2DLattice

class sknano.core.crystallography.Crystal2DLattice(a=None, b=None, gamma=None, a1=None, a2=None, cell_matrix=None, orientation_matrix=None, offset=None)

2D crystal lattice class.

Parameters:

a, b : float

gamma : float

a1, a2 : array_like

cell_matrix : array_like

orientation_matrix : array_like, optional

Attributes

a	Length of lattice vector $\mathbf{a}$.
a1	Lattice vector $\mathbf{a}_1=\mathbf{a}$.
a2	Lattice vector $\mathbf{a}_2=\mathbf{b}$.
angles	Lattice parameter angle gamma`.
area	Crystal cell area.
b	Length of lattice_vector $\mathbf{b}$.
b1	2D reciprocal lattice vector $\mathbf{b}_1=\mathbf{a}^{*}$.
b2	2D reciprocal lattice vector $\mathbf{b}_2=\mathbf{b}^{*}$.
cell_area	Alias for area.
cell_matrix	Matrix of lattice row vectors.
cos_gamma	$\cos\gamma$
cos_gamma_star	$\cos\gamma^*$
fmtstr	Format string.
fractional_matrix	Transformation matrix to convert from cartesian coordinates to fractional coordinates.
gamma	Angle between lattice vectors $\mathbf{a}$ and $\mathbf{b}$ in degrees.
lattice_parameters	Tuple of lattice parameters a, b, gamma.
lattice_vectors	Tuple of lattice vectors $\mathbf{a}_1, \mathbf{a}_2$.
lengths	Tuple of lattice parameter lengths $a, b$.
lengths_and_angles	Alias for attr:Crystal2DLattice.lattice_parameters.
matrix	Alias for cell_matrix.
metric_tensor	Metric tensor.
ortho_matrix	Transformation matrix to convert from fractional coordinates to cartesian coordinates.
reciprocal_lattice	Return Crystal2DLattice reciprocal lattice.
sin_gamma	$\sin\gamma$
sin_gamma_star	$\sin\gamma^*$

Methods

cartesian_to_fractional(ccoords)	Convert cartesian coordinate to fractional coordinate.
fractional_to_cartesian(fcoords)	Convert fractional coordinate to cartesian coordinate.
hexagonal(a)	Generate a hexagonal 2D lattice with lattice parameter $a$.
oblique(a, b, gamma)	Generate an oblique 2D lattice with lattice parameters $a, b, \gamma$.
rectangular(a, b)	Generate a rectangular 2D lattice with lattice parameters $a, b$.
rotate([angle, axis, anchor_point, ...])	Rotate unit cell.
square(a)	Generate a square 2D lattice with lattice parameter $a$.
todict()	Return dict of Crystal2DLattice parameters.
translate(t)	Translate lattice.
wrap_cartesian_coordinate(p[, pbc])	Wrap cartesian coordinate to lie within unit cell.
wrap_fractional_coordinate(p[, epsilon, pbc])	Wrap fractional coordinate to lie within unit cell.