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| Achnanthes exilis sensu W. Smith 1856 |
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| Achnanthes longipes var. ‘beta’ W. Smith 1856 |
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| Achnanthes longipes var. ‘gamma’ W. Smith 1856 |
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| Achnanthidium microcephalum sensu W. Smith 1856 |
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| Actinocyclus duodenarius (Ehrenberg) W. Smith 1856 |
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| Amphiprora elegans W. Smith 1856 |
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| Asterionella bleakeleyi W. Smith 1856 |
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| Asterionella ralfsii W. Smith 1856 |
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| Berkeleya fragilis sensu W. Smith 1856 |
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| Biddulphia baileyii W. Smith 1856 |
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| Biddulphia regina W. Smith 1856 |
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| Colletonema eximium Thwaites ex W. Smith 1856 |
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| Colletonema neglectum (Thwaites) W. Smith 1856 |
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| Colletonema subcohaerens (subcoherens) (Thwaites) W. Smith 1856 |
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| Colletonema vulgare (Thwaites) W. Smith 1856 |
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| Coscinodiscus concinnus W. Smith 1856 |
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| Cyclotella dallasiana W. Smith 1856 |
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| Cyclotella punctata W. Smith 1856 |
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| Cymbella helvetica var. beta W. Smith 1856 |
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| Cymbella scotica var. beta Smith 1856 |
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| Denticula inflata W. Smith 1856 |
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| Denticula obtusa W. Smith 1856 |
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| Denticula ocellata W. Smith 1856 |
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| Denticula sinuata Thwaites in W. Smith 1856 |
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| Diatoma elongatum W. Smith 1856 |
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| Diatoma elongatum var. beta W. Smith 1856 |
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| Diatoma elongatum var. delta W. Smith 1856 |
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| Diatoma elongatum var. gamma W. Smith 1856 |
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| Diatoma vulgare var. beta W. Smith 1856 |
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| Encyonema caespitosum var. beta W. Smith 1856 |
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| Encyonema prostratum var. beta W. Smith 1856 |
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| Eucampia britannica W. Smith 1856 |
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| Eunotia bidentula W. Smith 1856 |
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| Eupodiscus ralfsii W. Smith 1856 |
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| Fragilaria virescens var. beta W. Smith 1856 |
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| Gomphonema capitatum var. fusticulus (Gregory; W. Smith mss., according to W. Smith) W. Smith 1856 |
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| Gomphonema capitatum var. gamma W. Smith 1856 |
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| Gomphonema naviculoides W. Smith 1856 |
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| Gomphonema rostratum W. Smith 1856 |
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| Grammatophora balfouriana (Greville) W. Smith 1856 |
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| Grammatophora macilenta W. Smith 1856 |
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| Himantidium majus (major) W. Smith 1856 |
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| Himantidium majus (major) var. bidens (Gregory) W. Smith 1856 |
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| Himantidium soleirolii sense Wm. Smith 1856 |
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| Himantidium undulatum (Ralfs) W. Smith 1856 |
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| Himantidium williamsonii W. Smith 1856 |
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| Homoeocladia filiformis W. Smith 1856 |
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| Homoeocladia filiformis var. beta W. Smith 1856 |
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| Homoeocladia sigmoidea W. Smith 1856 |
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| Mastogloia apiculata W. Smith 1856 |
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| Mastogloia dansei (Thwaites) W. Smith 1856 |
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| Mastogloia lanceolata Thwaites in W. Smith 1856 |
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| Mastogloia smithii Thwaites in lit. ex W. Smith 1856 |
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| Mastogloia smithii var. beta W. Smith 1856 |
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| Melosira borrerii f. beta W. Smith 1856 |
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| Melosira nivalis W. Smith 1856 |
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| Melosira nummuloides var. gamma W. Smith 1856 |
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| Melosira westii W. Smith 1856 |
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| Meridion circulare var. beta W. Smith 1856 |
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| Meridion constrictum (constricta) var. beta W. Smith 1856 |
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| Meridion constrictum (constricta) var. gamma W. Smith 1856 |
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| Navicula amphisbaena var. gamma W. Smith 1856 |
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| Navicula biscalaris Brebisson in litt., Janisch ex W. Smith 1856 |
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| Navicula elliptica var. beta W. Smith 1856 |
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| Navicula firma var. gamma W. Smith 1856 |
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| Navicula hennedyi W. Smith 1856 |
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| Navicula hennedyii W. Smith 1856 |
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| Navicula humerosa Brébisson ex W. Smith 1856 |
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| Navicula laevissima sensu W. Smith 1856 |
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| Navicula ovalis var. beta W. Smith 1856 |
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| Navicula pectinalis Brébisson in litt., W. Smith 1856 |
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| Navicula rhomboides var. beta W. Smith 1856 |
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| Navicula rostellum W. Smith 1856 |
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| Navicula scutelloides W. Smith 1856 |
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| Navicula smithii Brébisson in W. Smith 1856 |
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| Navicula trinodis W. Smith 1856 |
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| Nitzschia curvula W. Smith 1856 |
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| Nitzschia linearis var. beta W. Smith 1856 |
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| Nitzschia palea (Kützing) W. Smith 1856 |
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| Odontidium anomalum W. Smith 1856 |
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| Odontidium harrisonii var. beta W. Smith 1856 |
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| Odontidium mutabile W. Smith 1856 |
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| Odontidium parasiticum W. Smith 1856 |
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| Odontidium parasiticum var. beta W. Smith 1856 |
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| Odontidium tabellaria W. Smith 1856 |
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| Odontidium tabellaria var. beta W. Smith 1856 |
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| Orthosira arenaria (Moore ex Ralfs) W. Smith 1856 |
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| Orthosira marina W. Smith 1856 |
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| Orthosira mirabilis W. Smith 1856 |
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| Orthosira orichalcea W. Smith 1856 |
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| Orthosira punctata W. Smith 1856 |
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| Pinnularia gracillima var. beta W. Smith 1856 |
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| Pinnularia hemiptera (Kützing) W. Smith 1856 |
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| Pinnularia integra W. Smith 1856 |
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| Pinnularia interrupta var. beta W. Smith 1856 |
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| Pinnularia nodosa (Ehrenberg) W. Smith 1856 |
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| Pinnularia polyonca (Brébisson in Kützing) W. Smith 1856 |
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| Pleurosigma transversale W. Smith 1856 |
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| Podosira hormoides sensu W. Smith 1856 |
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| Podosira maculata W. Smith 1856 |
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| Rhabdonema mirificum W. Smith 1856 |
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| Schizonema comoides sensu W. Smith 1856 |
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| Schizonema confertum W. Smith 1856 |
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| Schizonema cruciger W. Smith 1856 |
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| Schizonema dillwynii var. beta W. Smith 1856 |
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| Schizonema divergens W. Smith 1856 |
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| Schizonema gracillimum W. Smith 1856 |
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| Schizonema grevillii sensu W. Smith 1856 |
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| Schizonema molle W. Smith 1856 |
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| Schizonema mucosum (mucosa) sensu W. Smith 1856 |
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| Schizonema torquatum (Harvey) W. Smith 1856 |
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| Surirella (Suriraya) amphioxys W. Smith 1856 |
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| Surirella (Suriraya) apiculata W. Smith 1856 |
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| Synedra deformis W. Smith 1856 |
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| Synedra investiens W. Smith 1856 |
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| Synedra tenera W. Smith 1856 |
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| Synedra undulata (Bailey) W. Smith 1856 |
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| Tetracyclus emarginatus (Ehrenberg) W. Smith 1856 |
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| Triceratium exiguum W. Smith 1856 |
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| Tryblionella levidensis W. Smith 1856 |
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