Diatoms belong to a large group called the heterokonts, which include both autotrophs such as golden algae and kelp; and heterotrophs such as water moulds. The classification of heterokonts is still unsettled: they may be designated a division, phylum, kingdom, or something intermediate to those. Consequently, diatoms are ranked anywhere from a class, usually called Diatomophyceae or Bacillariophyceae, to a division (=phylum), usually called Bacillariophyta, with corresponding changes in the ranks of their subgroups.

Genera and species An estimated 20,000 extant diatom species are believed to exist, of which around 12,000 have been named to date according to Guiry, 2012 (other sources give a wider range of estimatesCanter-Lund, H. and Lund, J.W.G. (1995). Freshwater Algae: Their microscopic world explained, Biopress Limited. .). Around 1,000-1,300 diatom genera have been described, both extant and fossil,The World Register of Marine Species lists 1,356 diatom genus names from all habitats as at July 2020, of which 1,248 are "accepted". of which some 250-300 exist only as fossils.Queries to the World Register of Marine Species, July 2020, return 299 "fossil only" genus names, of which 285 are "accepted".

Classes and orders

Overview For many years the diatoms—treated either as a class (Bacillariophyceae) or a phylum (Bacillariophyta)—were divided into just 2 orders, corresponding to the centric and the pennate diatoms (Centrales and Pennales; alternative names Biddulphiales and Bacillariales, as used e.g. in Lee, 1989). This classification was extensively overhauled by Round, Crawford and Mann in 1990 who treated the diatoms at a higher rank (division, corresponding to phylum in zoological classification), and promoted the major classification units to classes, maintaining the centric diatoms as a single class Coscinodiscophyceae, but splitting the former pennate diatoms into 2 separate classes, Fragilariophyceae and Bacillariophyceae (the latter older name retained but with an emended definition), between them encompassing 45 orders, the majority of them new.

Today (writing at mid 2020) it is recognised that the 1990 system of Round et al. is in need of revision with the advent of newer molecular work, however the best system to replace it is unclear, and current systems in widespread use such as AlgaeBase, the World Register of Marine Species and its contributing database DiatomBase, and the system for "all life" represented in Ruggiero et al., 2015, all retain the Round et al. treatment as their basis, albeit with diatoms as a whole treated as a class rather than division/phylum, and Round et al.'s classes reduced to subclasses, for better agreement with the treatment of phylogenetically adjacent groups and their containing taxa. (For references refer the individual sections below).

One proposal, by Linda Medlin and co-workers commencing in 2004, is for some of the centric diatom orders considered more closely related to the pennates to be split off as a new class, Mediophyceae, itself more closely aligned with the pennate diatoms than the remaining centrics. This hypothesis—later designated the Coscinodiscophyceae-Mediophyceae-Bacillariophyceae, or Coscinodiscophyceae+(Mediophyceae+Bacillariophyceae) (CMB) hypothesis—has been accepted by D.G. Mann among others, who uses it as the basis for the classification of diatoms as presented in Adl. et al.'s series of syntheses (2005, 2012, 2019), and also in the Bacillariophyta chapter of the 2017 Handbook of the Protists edited by Archibald et al., with some modifications reflecting the apparent non-monophyly of Medlin et al. original "Coscinodiscophyceae". Meanwhile, a group led by E.C. Theriot favours a different hypothesis of phylogeny, which has been termed the structural gradation hypothesis (SGH) and does not recognise the Mediophyceae as a monophyletic group, while another analysis, that of Parks et al., 2018, finds that the radial centric diatoms (Medlin et al.'s Coscinodiscophyceae) are not monophyletic, but supports the monophyly of Mediophyceae minus Attheya, which is an anomalous genus. Discussion of the relative merits of these conflicting schemes continues by the various parties involved.

Round et al., 1990 Based on the fact that pennate diatoms either do or do not have a longitudinal groove in the valve, called a raphe,O.E.D. 2nd edition 2005 a 1990 classification by Round, Crawford & Mann divides the diatoms (as Bacillarophyta) into three classes, centric (22 orders); pennate without a raphe (12 orders); and pennate with a raphe (11 orders), as follows:

Phylum Bacillarophyta (diatoms) Class Coscinodiscophyceae Round & R.M.Crawford (centric diatoms) Subclass Biddulphiophycidae Round & R.M.Crawford Anaulales Round & R.M.Crawford Biddulphiales Krieger Hemiaulales Round & R.M.Crawford Triceratiales Round & R.M.Crawford Subclass Chaetocerotophycidae Round & R.M.Crawford Chaetocerotales Round & R.M.Crawford Leptocylindrales Round & R.M.Crawford Subclass Corethrophycidae Round & R.M.Crawford Corethrales Round & R.M.Crawford Subclass Coscinodiscophycidae Round & R.M.Crawford Arachnoidiscales Round Asterolamprales Round Aulacoseirales R.M.Crawford Chrysanthemodiscales Round Coscinodiscales Round Ethmodiscales Round Melosirales R.M.Crawford Orthoseirales R.M.Crawford Paraliales R.M.Crawford Stictocyclales Round Stictodiscales Round & R.M.Crawford Subclass Cymatosirophycidae Round & R.M.Crawford Cymatosirales Round & R.M.Crawford Subclass Lithodesmiophycidae Round & R.M.Crawford Lithodesmiales Round & R.M.Crawford Subclass Rhizosoleniophycidae Round & R.M.Crawford Rhizosoleniales Silva Subclass Thalassiosirophycidae Round & R.M.Crawford Thalassiosirales Glezer & Makarova Class Fragilariophyceae Round (pennate diatoms without a raphe (araphids)) Subclass Fragilariophycidae Round Ardissoneales Round Climacospheniales Round Cyclophorales Round & R.M.Crawford Fragilariales P.C.Silva Licmophorales Round Protoraphidales Round Rhabdonematales Round & R.M.Crawford Rhaphoneidales Round Striatellales Round Tabellariales Round Thalassionematales Round Toxariales Round Class Bacillariophyceae Haeckel, 1878, emend. D.G.Mann (pennate diatoms with a raphe (raphids)) Subclass Bacillariophycidae D.G.Mann Achnanthales P.C.Silva Bacillariales Hendey Cymbellales D.G.Mann Dictyoneidales D.G.Mann Lyrellales D.G.Mann Mastogloiales D.G.Mann Naviculales Bessey Rhopalodiales D.G.Mann Surirellales D.G.Mann Thalassiophysales D.G.Mann Subclass Eunotiophycidae D.G.Mann Eunotiales P.C.Silva

Medlin & Kaczmarska, 2004 An alternate classification for the diatoms based on molecular phylogeny was proposed by Medlin & Kaczmarska in 2004, as follows. Medlin and co-workers erected a new class, Mediophyceae (which could be re-ranked a subclass if diatoms as a whole are ranked as a class rather than a phylum) for the "polar centric" diatoms, which they consider to be more closely related to the pennate rather than to other centric diatoms, a concept which has been followed or further adapted by some (e.g. Adl et al., 2019, see below), but not all subsequent workers at this time.

Phylum Bacillariophyta (diatoms) Subphylum Coscinodiscophytina Class Coscinodiscophyceae ("radial centrics") Arachnoidiscales Asterolamprales Aulacoseirales Corethrales Coscinodiscales Chrysanthemodiscales Ethmodiscales Leptocylindrales Melosirales Orthoseirales Rhizosoleniales Stictocyclales Stictodiscales Subphylum Bacillariophytina Class Mediophyceae ("polar centrics") Ardissoneales Biddulphiales Chaetocerotales Cymatosirales Hemiaulales Lithodesmiales Thalassiosirales Toxariales Triceratiales Class Bacillariophyceae (pennate diatoms) Achnanthales Bacillariales Cymbellales Dictyoneidales Eunotiales Fragilariales Licmophorales Lyrellales Mastogloiales Naviculales Rhabdonematales Rhaphoneidales Rhopalodiales Surirellales Tabellariales Thalassionematales Thalassiophysales

Ruggiero et al., 2015 In the treatment for "all life" (down to order, extant taxa only) by Ruggiero et al., 2015, the diatoms are treated as follows. This treatment largely reflects that used by Algaebase as of 2015, and is also reflected in the current (mid 2020) treatment used in DiatomBase, the World Register of Marine Species (WoRMS) of which DiatomBase is a part, and the Catalogue of Life. This treatment is identical to that of Round et al., 1990, except that all diatoms are treated as a single class, Round et al.'s classes are reduced to subclasses, and the latter's original subclasses are omitted. Superphylum Heterokonta (heterokonts: Ochrophyta plus other phyla)) Phylum Ochrophyta (diatoms plus other classes) Class Bacillariophyceae (diatoms) Subclass Bacillariophycidae Achnanthales Bacillariales Cymbellales Dictyoneidales Eunotiales Lyrellales Mastogloiales Naviculales Rhopalodiales Surirellales Thalassiophysales Subclass Coscinodiscophycidae Anaulales Arachnoidiscales Asterolamprales Aulacoseirales Biddulphiales Chaetocerotales Chrysanthemodiscales Corethrales Coscinodiscales Cymatosirales Ethmodiscales Hemiaulales Leptocylindrales Lithodesmiales Melosirales Orthoseirales Paraliales Rhizosoleniales Stictocyclales Stictodiscales Thalassiosirales Triceratiales Subclass Fragilariophycidae Ardissoneales Climacospheniales Cyclophorales Fragilariales Licmophorales Protoraphidales Rhabdonematales Rhaphoneidales Striatellales Tabellariales Thalassionematales Toxariales

Adl et al., 2019 Following earlier versions in the treatments of Adl et al. 2005 and 2012, D.G. Mann, in Adl et al. 2019, presented his most recent classification of diatoms as follows, while noting: "This revision reflects numerous advances in the phylogeny of the diatoms over the last decade. Due to our poor taxon sampling outside of the Mediophyceae and pennate diatoms, and the known and anticipated diversity of all diatoms, many clades appear at a high classification level (and the higher level classification is rather flat)." This classification treats diatoms as a phylum (Diatomeae/Bacillariophyta), accepts the class Mediophyceae of Medlin and co-workers, introduces new subphyla and classes for a number of otherwise isolated genera, and re-ranks a number of previously established taxa as subclasses, but does not list orders or families. Inferred ranks have been added for clarity (Adl. et al. do not use ranks, but the intended ones in this portion of the classification are apparent from the choice of endings used, within the system of botanical nomenclature employed). Clade Diatomista Derelle et al. 2016, emend. Cavalier-Smith 2017 (diatoms plus a subset of other ochrophyte groups) Phylum Diatomeae Dumortier 1821 [= Bacillariophyta Haeckel 1878] (diatoms) Subphylum Leptocylindrophytina D.G. Mann in Adl et al. 2019 Class Leptocylindrophyceae D.G. Mann in Adl et al. 2019 (Leptocylindrus, Tenuicylindrus) Class Corethrophyceae D.G. Mann in Adl et al. 2019 (Corethron) Subphylum Ellerbeckiophytina D.G. Mann in Adl et al. 2019 (Ellerbeckia) Subphylum Probosciophytina D.G. Mann in Adl et al. 2019 (Proboscia) Subphylum Melosirophytina D.G. Mann in Adl et al. 2019 (Aulacoseira, Melosira, Hyalodiscus, Stephanopyxis, Paralia, Endictya) Subphylum Coscinodiscophytina Medlin & Kaczmarska 2004, emend. (Actinoptychus, Coscinodiscus, Actinocyclus, Asteromphalus, Aulacodiscus, Stellarima) Subphylum Rhizosoleniophytina D.G. Mann in Adl et al. 2019 (Guinardia, Rhizosolenia, Pseudosolenia) Subphylum Arachnoidiscophytina D.G. Mann in Adl et al. 2019 (Arachnoidiscus) Subphylum Bacillariophytina Medlin & Kaczmarska 2004, emend. Class Mediophyceae Jouse & Proshkina-Lavrenko in Medlin & Kaczmarska 2004