wulfric.volume#

wulfric.volume(*args)[source]#

Computes volume.

Three type of arguments are expected:

One argument.
Matrix cell. Volume is computed as:

\[V = \boldsymbol{v_1} \cdot (\boldsymbol{v_2} \times \boldsymbol{v_3})\]
Three arguments.
Vectors \boldsymbol{v_1}, \boldsymbol{v_2}, \boldsymbol{v_3}. Volume is computed as:

\[V = \boldsymbol{v_1} \cdot (\boldsymbol{v_2} \times \boldsymbol{v_3})\]
Six arguments.
Parameters a, b, c, alpha, beta, gamma. Volume is computed as:

\[V = abc\sqrt{1+2\cos(\alpha)\cos(\beta)\cos(\gamma)-\cos^2(\alpha)-\cos^2(\beta)-\cos^2(\gamma)}\]

Parameters:

v1(3,) array-like: First vector.
v2(3,) array-like: Second vector.
v3(3,) array-like: Third vector.
cell(3,3) array-like: Cell matrix, rows are interpreted as vectors.
afloat, default 1: Length of the \(v_1\) vector.
bfloat, default 1: Length of the \(v_2\) vector.
cfloat, default 1: Length of the \(v_3\) vector.
alphafloat, default 90: Angle between vectors \(v_2\) and \(v_3\). In degrees.
betafloat, default 90: Angle between vectors \(v_1\) and \(v_3\). In degrees.
gammafloat, default 90: Angle between vectors \(v_1\) and \(v_2\). In degrees.

Returns: