Tetradentate ligand
Tetradentate ligands are ligands that bind four donor atoms to a central atom to form a coordination complex. This number of donor atoms that bind is called denticity and is a way to classify ligands. Tetradentate ligands are common in nature in the form of chlorophyll which has a core ligand called chlorin, and heme with a core ligand called porphyrin. They add much of the colour seen in plants and humans. Phthalocyanine is an artificial macrocyclic tetradentate ligand that is used to make blue and green pigments. Shape. Tetradentate ligands can be classified by the topology of  the connections between the donor atoms. Common forms are linear (also called sequential), ring or tripodal. A tetrapodal ligand that is also tetradentate has four legs with donor atoms, and a bridgehead that is not a donor. On binding with a central atom there are several arrangements possible called geometric isomers. Linear ligands. A linear tetradentate ligand has the four donor atoms in a line, each subsequent donor is connected by one of three bridges. A linear tetradetate ligand bound to a metal in tetrahedral coordination can only connect in one way. If the ligand is unsymmetrical then there are  two chiral arrangements. A linear tetradetate ligand bound to a metal in square planar coordination in one way. Anticlockwise or clockwise arrangements are equivalent. Linear ligands in octahedral coordination. A linear tetradentate ligand has its donor atoms arranged along or in a chain, so that each adjacent donor atom has to be adjacent on the central atom. This arrangement leads to three stereochemical outcomes. The four donor groups can be co-equatorial. This geometry is called "trans" because the remaining unoccupied positions on the octahedron are mutually trans (opposite). When the two internal donor atoms, e.g. the secondary amines in  trien or EDDA, are pyramidal, two diastereomers for the trans arrangement are determined by the relative stereochemistry of these centers. Typically these donors are mutually trans, resulting in a chiral complex of C-symmetric complexes. This arrangement is illustrated by complexes of the Trost ligand. The ligand can have one bend so that one is at the pole and three on the equator of the central atom. This is called beta "cis"-β (beta). The remaining octahedral positions are "cis" (adjacent) to each other. The triangles of coordinating atoms and the central atom have two coplanar, and one perpendicular. This arrangement  is chiral, so there are two possible mirror images. The arrangement where the chain goes down and clockwise is termed lambda Λ, and where is goes down and anticlockwise is called delta Δ. If the chain is not symmetrical, then different isomers can be produced by which end of the ligand has the bend. If three donor atoms are the same at one end of the chain, the "mer"- and "fac"- prefixes used for tridentate ligands can be used giving β-"mer"- if the three are arranged on a meridian or β-"fac" if the three are arranged on a face of  the octahedron. The chain can have two bends, so there is one at a pole, two on the equator and one at the opposite pole. None of the triangles of coordinating atoms and the central atom are coplanar. This is termed "cis"-α (alpha). This arrangement is chiral, so there are two possible mirror images. The arrangement where the chain goes down and clockwise and down is termed lambda Λ, and where is goes down and anticlockwise and down is called delta Δ. Tripodal ligands. Tripodal tetradentate ligands have a donor atom connected via three chains to other donor atoms. The  top of the tripod is called the apex, and a donor atom in that position is apical, or also known as the bridging atom. The other three donor atoms are on the "feet" of the tripod. Examples can have three identical chains attached to an atom in tertiary arrangement. This atom could be nitrogen, phosphorus, or arsenic. Molecules containing phosphorus, or arsenic donor atoms remain stiff at the P or As and can hold their shape, unlike nitrogen compounds which rapidly racemize. If all the feet of the tripod are symmetrical and identical to each other, there will be only  one way to attach in an octahedral coordination. However, there are two non-equivalent positions left on the central atom, so if two different monodentate, or an unsymmetrical bidentate ligand attaches there will be two possible isomers. If the feet differ then there are more isomers. When two feet are the same, and one is different there are three arrangements, two of which are enantiomers of each other. When there are three different legs, there are six possible isomers, but two are enantiomers of another pair, and two are symmetric. Atoms with five coordinate positions are usually trigonal bipyramidal or  square pyramid in shape. A symmetric tripodal tetradentate ligand can form two isomers on a square pyramid, depending on whether the bridging donor is on the apex or the base of the pyramid. The extra vacant position on the square pyramid is on the base. Square pyramidal coordination tends to occur where a six-member ring is formed with the bridgehead, bridge, feet donor atom and central atom. The longer leg (with three bridging atoms) connects to the apex of the pyramid, and symmetry is lost. For the trigonal bipyramid, the tripod shaped ligand has its most symmetrical position with  the bridging donor at one of the apexes, and the feet of the tripod are arranged around the base, leaving a vacant position at the opposite apex. This has "C" symmetry. Trigonal bipyramidal coordination tends to occur where five member rings are formed with the bridgehead, bridge, feet donor atoms and central atom. In four coordination a tripodal ligand would fill all the positions available, the geometry is trigonal pyramid. The shape is distorted from the tetrahedron due to the non-symmetry of the tripod. Classification. In addition to shape, tetradentate ligands can be classified by the ligating atoms on  the ligand. For linear ligands the order can be given. The ligand may have a negative charge when it is in a complex with the central atom. This may develop through the loss of hydrogen ions when the substance is dissolved. Other characteristics are the size of the rings formed by the central metal with two donor atoms and the intervening chain if the ligand. Usually these rings have five or six members, but sometimes seven atoms. For ring shaped ligands, the total number of atoms in the ring is important, as it is a determiner of the hole size  for the central atom. Each additional atom in the ring enlarges the hole radius from 0.1 to 0.15 Å. Ligands are also characterised by charge. Tetradentate ligands can be neutral, so that the charge of the whole complex is the same as the central atom. A tetradentate monoanionic (TMDA) ligand has one donor atom with a negative charge. A tetradentate dianionic ligand has a double negative charge, and tetradentate trianionic ligands have a triple negative charge. The maximal charge is on tetradentate tetraanionic ligands, which can stabilise metals in high oxidation states, however such ligands also have to resist oxidation  to survive a strongly oxidising atom. Biomolecules. Heme is a heterocyclic macrocycle ring shaped tetradentate ligand. It is an important molecule in red blood cells. Chlorophyll comes in several forms and is important in plant photosynthesis. Bacteria may use variants called bacteriochlorophylls.