The polyhedral symbol is sometimes used in coordination chemistry to indicate the approximate geometry of the coordinating atoms around the central atom. One or more italicised letters indicate the geometry, e.g. TP-3 which is followed by a number that gives the coordination number of the central atom. The polyhedral symbol can be used in naming of compounds, in which case it is followed by the configuration index.

Polyhedral symbols

Polyhedral Symbols

	description
L-2	linear - 2 coordinate	Linear (chemistry)
A-2	bent - 2 coordinate	Bent (chemistry)
TP-3	trigonal planar – 3 coordinate	Trigonal planar Trigonal planar In chemistry, trigonal planar is a molecular geometry model with one atom at the center and three atoms at the corners of a triangle, called peripheral atoms, all in one plane. In an ideal trigonal planar species, all three ligands are identical and all bond angles are 120°. Such species belong to...
TPY-3	trigonal pyramidal- 3 coordinate	Trigonal pyramid (chemistry) Trigonal pyramid (chemistry) In chemistry, a trigonal pyramid is a molecular geometry with one atom at the apex and three atoms at the corners of a trigonal base. When all three atoms at the corners are identical, the molecule belongs to point group C3v. One example of a molecule with a trigonal pyramidal geometry is ammonia...
TS-3	T-shaped- 3 coordinate	T-shaped (chemistry)
T-4	tetrahedral geometry – 4 coordinate	Tetrahedral molecular geometry Tetrahedral molecular geometry In a tetrahedral molecular geometry a central atom is located at the center with four substituents that are located at the corners of a tetrahedron. The bond angles are cos−1 ≈ 109.5° when all four substituents are the same, as in CH4. This molecular geometry is common throughout the first...
SP-4	square planar – 4 coordinate	Square planar Square planar The square planar molecular geometry in chemistry describes the stereochemistry that is adopted by certain chemical compounds...
SPY-4	square pyramidal– 4 coordinate
SS-4	see-saw– 4 coordinate	Seesaw (chemistry)
TBPY-5	trigonal bipyramidal- 5 coordinate	Trigonal bipyramidal molecular geometry
SPY-5	square pyramidal – 5 coordinate	Square pyramidal molecular geometry Square pyramidal molecular geometry In molecular geometry, square based pyramidal geometry describes the shape of certain compounds with the formula ML5 where L is a ligand. If the ligand atoms were connected, the resulting shape would be that of a pyramid with a square base. The geometry is common for certain main group compounds...
OC-6	octahedral geometry – 6 coordinate	Octahedral molecular geometry Octahedral molecular geometry In chemistry, octahedral molecular geometry describes the shape of compounds where in six atoms or groups of atoms or ligands are symmetrically arranged around a central atom, defining the vertices of an octahedron...
TPR-6	trigonal prismatic -6 coordinate
PBPY-7	pentagonal bipyramid- 7 coordinate	Pentagonal bipyramid molecular geometry Pentagonal bipyramid molecular geometry In chemistry, a pentagonal bipyramid is a molecular geometry with one atom at the centre with seven ligands at the corners of a pentagonal dipyramid. A perfect pentagonal bipyramid belongs to the molecular point group D5h ....
OCF-7	face capped octahedron- 7 coordinate
TPRS-7	trigonal prism, square face monocapped
CU-8	cubic -8 coordinate
SAPR-8	square anti prism
DD-8	dodecahedral
HBPY-8	hexagonal bipyramid
OCT-8	octahedron, trans-bicapped
TPRT-8	trigonal prism, triangular face bicapped
TPRS-8	trigonal prism, square face bicapped
TPRS-9	trigonal prism, square face tricapped
HBPY-9	heptagonal bipyramid

Configuration index

The first step in determining the configuration index is to assign a priority number to each coordinating ligand according to the Cahn-Ingold-Prelog priority rules, (CIP rules). The preferred ligand takes the lowest priority number. For example of the ligands acetonitrile, chloride ion and pyridine thepriority number assigned are chloride, 1; acetonitrile,2; pyridene,3. Each coordination type has a different procedure for specifying the configuration index and these are outlined in below.

T shaped (TS-3)

The configuration index is a single digit which is defined as the priority number of the ligand on the stem of the "T".

Seesaw (SS- 4)

The configuration index has two digits which are the priority numbers of the ligands separated by the largest angle. The lowest priority number of the pair is quoted first.

Square planar (SP-4)

The configuration index is a single digit which is the priority number of the ligand trans to the highest priority ligand. (If there are two possibilities the principle of trans difference is applied). As an example, (acetonitrile)dichlorido(pyridine)platinum(II) complex where the Cl ligands may be trans or cis to one another.

The ligand priority numbers are, applying the CIP rules:

• two chlorides of priority number 1
• acetonitrile priority 2
• pyridine priority 3

In the trans case the configuration index is 1 giving the name(SP-4-1)-(acetonitrile)dichlorido(pyridine)platinum(II).

In the cis case both of the organic ligands are trans to a chloride so to choose the trans difference is considered and the greater is between 1 and three therefore the name is (SP-4-3)-(acetonitrile)dichlorido(pyridine)platinum(II).

Octahedral (OC-6)

The configuration index has two digits. The first digit is the priority number of the ligand trans to the highest priority ligand. This pair is then used to define the reference axis of the octahedron. The second digit is the priority number of the ligand trans to the highest priority ligand in the plane perpendicular to the reference axis.

Square pyramidal (SPY-4)

The configuration index is a single digit which is the priority number of the ligand trans to the ligand of lowest priority in the plane perpendicular to the 4 fold axis. (If there is more than one choice then the highest numerical value second digit is taken.) NB this procedure gives the same result as SP-4, however in this case the polyhedral symbol specifies that the complex is non-planar.

Square pyramidal (SPY-5)

This is a two digit the first digit is the priority number of the ligand on the fourfold (C₄) axis of the idealised pyramid the second digit is the priority number of the ligand trans to ligand of lowest priority in the plane perpendicular to the 4 fold axis. (If there is more than one choice then the highest numerical value second digit is taken.)

Trigonal bipyramidal (TBPY-5)

The configuration index consists of two digits which are the priority numbers of the ligands on the threefold rotation axis. The lowest numerical value is cited first.

Other bipyramidal structures (PBPY-7, HBPY-8 and HBPY-9)

The configuration index consists of two segments separated by a hyphen. The first segment consists of two digits which are the priority numbers of the ligands on the five, six or sevenfold rotation axis. The lowest numerical value is cited first.

The second segment consists of 5, 6 or 7 digits respectively. The lowest priority number is the first digit followed by the digits of the other atoms in the plane. The clockwise and anticlockwise sequences are compared and the one that yields the lowest numerical sequence is chosen.