1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
81
82
83
84
85
86
87
88
89
90
91
92
93
94
95
96
97
98
99
100
101
102
103
104
105
106
107
108
109
110
111
112
113
114
115
116
117
118
119
120
|
<?xml version="1.0" encoding="UTF-8"?>
<!DOCTYPE html PUBLIC "-//W3C//DTD XHTML 1.0 Strict//EN"
"http://www.w3.org/TR/xhtml1/DTD/xhtml1-strict.dtd">
<html xmlns="http://www.w3.org/1999/xhtml" lang="en">
<head>
<title>GAMGI Interfaces: Group Create Polytope</title>
<link rel="icon" type="image/png" href="../../icon/gamgi16.png"/>
<link rel="stylesheet" type="text/css" href="../../css/base.css"/>
<link rel="stylesheet" type="text/css" href="../../css/board.css"/>
</head>
<body>
<div class="board">
<div>Group Create Polytope</div><div> </div>
</div>
<div class="contents">
Selecting <b>Polytope</b> creates a coordination polyhedron around each
central atom, plus a report of topological and geometrical properties.
<p/>
Throughout the report, <b>Minimum</b> is the minimum value,
<b>Maximum</b> is the maximum value, <b>Average</b> is the
mean value and <b>Deviation</b> is the standard deviation,
in the universe formed by the selected polyhedrons only.
<h3>Polyhedrons</h3>
Total number of polyhedrons. Polyhedrons are always <b>External</b>.
<h3>Faces</h3>
Total number of faces. Faces are always <b>External</b>.
<h3>Edges</h3>
Total number of edges. Edges are always <b>External</b>.
<h3>Vertices</h3>
Total number of vertices. Vertices are always <b>External</b>.
<h3>Polyhedron Faces</h3>
Number of faces per polyhedron. The minimum value is 4 (tetrahedron).
<h3>Polyhedron Edges</h3>
Number of edges per polyhedron. The minimum value is 6 (tetrahedron).
<h3>Polyhedron Vertices</h3>
Number of vertices per polyhedron. The minimum value is 4 (tetrahedron).
<h3>Face Vertices</h3>
Number of vertices per face. The minimum value is 3 (triangle).
<h3>Vertex Faces</h3>
Number of faces sharing a vertex. The minimum value is 3
(system corner).
<h3>Polyhedron Volumes</h3>
The volume for each polyhedron, obtained by summing the volumes of all its triangular
piramids.
<h3>Polyhedron Areas</h3>
The area for each polyhedron, obtained by summing the areas of all its faces.
<h3>Polyhedron Lengths</h3>
The length for each polyhedron, obtained by summing the lengths of all its edges.
<h3>Polyhedron Aberrations</h3>
This is the <b>Spherical Aberration</b>, the ratio between the area of
a polyhedron and the area of a sphere with the same volume. As a sphere
is the 3D object with a smaller area/volume ratio,
<b>Spherical Aberration</b> is always above 1.0.
<h3>Face Areas</h3>
The area for each face, obtained by summing the areas of all its triangles.
Faces with an area smaller than a given tolerance (the <b>Area</b> tolerance
in the <b>Group->Measure</b> dialog) are removed.
<h3>Face Lengths</h3>
The perimeter for each face, obtained by summing the lengths of all its edges.
<h3>Face Aberrations</h3>
This is the <b>Circular Aberration</b>, the ratio between the perimeter
of a face and the perimeter of a circumpherence with the same area. As
a circumpherence is the 2D object with a smaller perimeter/area
ratio, <b>Circular Aberration</b> is always above 1.0.
<h3>Edge Lengths</h3>
The length for each edge.
<h3>Face Angles</h3>
The angle between adjacent faces (between 0 and 180 degrees).
</div>
<div id="bottom">
<a href="../../index.shtml">Home</a>
</div>
</body>
</html>
|
