Supercell: Difference between revisions

	Included in psico; This command or function is available from psico, which is a PyMOL extension.
Module	psico.xtal

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Latest revision as of 08:24, 1 July 2020

Example with 2 unit cells in c-direction, created with: supercell 1,1,2,2x19

supercell can display multiple copies of the unit cell. Can also fill the unit cell (and its copies) with symmetry mates.

See thread on pymol-users mailing list.

Requires numpy.

Example

# import psico.xtal, or run the standalone script:
run https://raw.githubusercontent.com/speleo3/pymol-psico/master/psico/xtal.py

fetch 2x19, async=0
supercell 2,1,1, 2x19, green
supercell 1,1,2, 2x19, orange, name=super2

@@ Line 1: / Line 1: @@
-= Overview =
+{{Infobox psico
+|module    =  psico.xtal
+}}
-Can display multiple copies of the unit cell.
+[[File:SupercellExample.png|200px|thumb|right|Example with 2 unit cells in c-direction, created with: supercell 1,1,2,2x19]]
+'''supercell''' can display multiple copies of the unit cell.
+Can also fill the unit cell (and its copies) with symmetry mates.
 See [http://sourceforge.net/mailarchive/forum.php?thread_name=l2vdcf611bd1004140816zeca28714mf76b9f72008099ab%40mail.gmail.com&forum_name=pymol-users thread on pymol-users mailing list].
-= Example =
+Requires [http://numpy.scipy.org numpy].
+== Example ==
 <source lang="python">
-run supercell.py
+# import psico.xtal, or run the standalone script:
+run https://raw.githubusercontent.com/speleo3/pymol-psico/master/psico/xtal.py
 fetch 2x19, async=0
 supercell 2,1,1, 2x19, green
@@ Line 14: / Line 23: @@
 </source>
-= The Code =
+== See Also ==
-<source lang="python">
-'''
-(c) 2010 Thomas Holder
-PyMOL python script (load with `run supercell.py`)
-Usage: See "help supercell"
-'''
-from pymol import cmd, cgo
-from math import cos, sin, radians, sqrt
-import numpy
-def cellbasis(angles, edges):
-	'''
-	For the unit cell with given angles and edge lengths calculate the basis
-	transformation (vectors) as a 4x4 numpy.array
-	'''
-	rad = [radians(i) for i in angles]
-	basis = numpy.identity(4)
-	basis[0][1] = cos(rad[2])
-	basis[1][1] = sin(rad[2])
-	basis[0][2] = cos(rad[1])
-	basis[1][2] = (cos(rad[0]) - basis[0][1]*basis[0][2])/basis[1][1]
-	basis[2][2] = sqrt(1 - basis[0][2]**2 - basis[1][2]**2)
-	edges.append(1.0)
-	return basis * edges # numpy.array multiplication!
-def supercell(a=1, b=1, c=1, object=None, color='blue', name='supercell'):
-	'''
-DESCRIPTION
-    Draw a supercell, as requested by Nicolas Bock on the pymol-users
-    mailing list (Subject: [PyMOL] feature request: supercell construction
-    Date: 04/12/2010 10:12:17 PM (Mon, 12 Apr 2010 14:12:17 -0600))
-USAGE
-    supercell a, b, c [, object [, color [, name]]]
-ARGUMENTS
-    a, b, c = integer: repeat cell in x,y,z direction a,b,c times
-    {default: 1,1,1}
-    object = string: name of object to take cell definition from
-    color = string: color of cell {default: blue}
-    name = string: name of the cgo object to create {default: supercell}
+* [[SuperSym]]
+* [[symexp]]
-SEE ALSO
-    show cell
-	'''
-	if object is None:
-		object = cmd.get_object_list()[0]
-	sym = cmd.get_symmetry(object)
-	cell_edges = sym[0:3]
-	cell_angles = sym[3:6]
-	basis = cellbasis(cell_angles, cell_edges)
-	assert isinstance(basis, numpy.ndarray)
-	ts = list()
-	for i in range(int(a)):
-		for j in range(int(b)):
-			for k in range(int(c)):
-				ts.append([i,j,k])
-	obj = [
-		cgo.BEGIN,
-		cgo.LINES,
-		cgo.COLOR,
-	]
-	obj.extend(cmd.get_color_tuple(color))
-	for t in ts:
-		shift = basis[0:3,0:3] * t
-		shift = shift[:,0] + shift[:,1] + shift[:,2]
-		for i in range(3):
-			vi = basis[0:3,i]
-			vj = [
-				numpy.array([0.,0.,0.]),
-				basis[0:3,(i+1)%3],
-				basis[0:3,(i+2)%3],
-				basis[0:3,(i+1)%3] + basis[0:3,(i+2)%3]
-			]
-			for j in range(4):
-				obj.append(cgo.VERTEX)
-				obj.extend((shift + vj[j]).tolist())
-				obj.append(cgo.VERTEX)
-				obj.extend((shift + vj[j] + vi).tolist())
-	cmd.delete(name)
-	cmd.load_cgo(obj, name)
-cmd.extend('supercell', supercell)
-</source>
 [[Category:Script_Library]]
 [[Category:Math_Scripts]]

Speleo3 (talk | contribs)

Latest revision as of 08:24, 1 July 2020

Example

See Also