Covalent bond classification method

The covalent bond classification (CBC) method, also referred to as LXZ notation, is a way of describing covalent compounds such as organometallic complexes in a way that is not prone to limitations resulting from the definition of oxidation state.^[1] Instead of simply assigning a charge (oxidation state) to an atom in the molecule, the covalent bond classification method analyzes the nature of the ligands surrounding the atom of interest.^[2] According to this method, the interactions that allow for coordination of the ligand can be classified according to whether it donates two, one, or zero electrons. These three classes of ligands are respectively given the symbols L, X, and Z. The method was published by Malcolm L. H. Green in 1995.^[3]^[4]

Types of ligands

X-type ligands are those that donate one electron to the metal and accept one electron from the metal when using the neutral ligand method of electron counting, or donate two electrons to the metal when using the donor pair method of electron counting.^[5]^{[page needed]} Regardless of whether they are considered neutral or anionic, these ligands yield normal covalent bonds.^[2] A few examples of this type of ligand are H, halogens (Cl, Br, F, etc.), OH, CN, CH₃, and NO (bent).

L-type ligands are neutral ligands that donate two electrons to the metal center, regardless of the electron counting method being used. These electrons can come from lone pairs, pi, or sigma donors.^[5]^{[page needed]} The bonds formed between these ligands and the metal are dative covalent bonds, which are also known as coordinate bonds. Examples of this type of ligand include CO, PR₃, NH₃, H₂O, carbenes (=CRR'), and alkenes.

Z-type ligands are those that accept two electrons from the metal center, as opposed to the donation occurring with the other two types of ligands. However, these ligands also form dative covalent bonds like the L-type.^[2] This type of ligand is not usually used because in certain situations it can be written in terms of L and X. For example, if a Z ligand is accompanied by an L type, it can be written as X₂. Examples of these ligands are Lewis acids, such as BR₃.^[3]

Uses of the notation

When given a metal complex and the trends for the ligand types, the complex can be written in a more simplified manner with the form $[ML l X x Z z] Q \pm$ . The subscripts represent the numbers of each ligand type present in that complex, M is the metal center, and Q is the overall charge on the complex. Some examples of this overall notation are as follows:

Condensed formula	LXZ notation
[Mn(CO)₆]⁺	[ML₆]⁺
[Ir(CO)(PPh₃)₂(Cl)(NO)]²⁺	[ML₃X₂]²⁺
[Fe(CO)₂(CN)₄]²⁻	[ML₂X₄]²⁻

Also from this general form, the values for electron count, oxidation state, coordination number, number of d-electrons,^[6] valence number and the ligand bond number^[2] can be calculated.

            Electron Count = ⁠ $N+x+2l-Q$ ⁠

                        Where $N$ is the group number of the metal.

            Oxidation State (OS) = ⁠ $x+Q$ ⁠

            Coordination Number (CN) = ⁠ $x+l$ ⁠

            Number of d-electrons (dn) = ⁠ $N-OS$ ⁠
                                       = ⁠ $N-(x+Q)$ ⁠

            Valence Number (VN) = ⁠ $x+2z$ ⁠

            Ligand Bond Number (LBN) = ⁠ $l+x+z$ ⁠

Other uses

This template for writing a metal complex also allows for a better comparison of molecules with different charges. This can happen when the assignment is reduced to its “equivalent neutral class". The equivalent neutral class is the classification of the complex if the charge was localized on the ligand as opposed to the metal center.^[1] In other words, the equivalent neutral class is the representation of the complex as though there were no charge.

References

^ ^a ^b Crabtree, Robert H.; Mingos, D. Michael P., eds. (2007). Comprehensive Organometallic Chemistry III. Vol. 1. Elsevier. pp. 22–29.
^ ^a ^b ^c ^d The CBC Method
^ ^a ^b Green, Malcolm L. H. (1995-09-20). "A new approach to the formal classification of covalent compounds of the elements". Journal of Organometallic Chemistry. 500 (1–2): 127–148. doi:10.1016/0022-328X(95)00508-N. ISSN 0022-328X.
^ Green, Malcolm L. H.; Parkin, Gerard (2014-06-10). "Application of the Covalent Bond Classification Method for the Teaching of Inorganic Chemistry". Journal of Chemical Education. 91 (6): 807–816. Bibcode:2014JChEd..91..807G. doi:10.1021/ed400504f. ISSN 0021-9584.
^ ^a ^b Crabtree, Robert H. (2005). Organometallic Chemistry of the Transition Metals (4th ed.). Wiley-Interscience.
^ Spessard, Gary O.; Miessler, Gary L. (2010). Organometallic Chemistry (2nd ed.). Oxford University Press. pp. 59–60.

[CompOrgometChem-1] Crabtree, Robert H.; Mingos, D. Michael P., eds. (2007). Comprehensive Organometallic Chemistry III. Vol. 1. Elsevier. pp. 22–29.

[ParkinWebpage-2] The CBC Method

[Green1995-3] Green, Malcolm L. H. (1995-09-20). "A new approach to the formal classification of covalent compounds of the elements". Journal of Organometallic Chemistry. 500 (1–2): 127–148. doi:10.1016/0022-328X(95)00508-N. ISSN 0022-328X.

[4] Green, Malcolm L. H.; Parkin, Gerard (2014-06-10). "Application of the Covalent Bond Classification Method for the Teaching of Inorganic Chemistry". Journal of Chemical Education. 91 (6): 807–816. Bibcode:2014JChEd..91..807G. doi:10.1021/ed400504f. ISSN 0021-9584.

[OrganometChemTransMetals-5] Crabtree, Robert H. (2005). Organometallic Chemistry of the Transition Metals (4th ed.). Wiley-Interscience.

[6] Spessard, Gary O.; Miessler, Gary L. (2010). Organometallic Chemistry (2nd ed.). Oxford University Press. pp. 59–60.

[1]