The scientific name of rhododendron is Rhododendron. It is a genus of plants in the heath family (Ericaceae) that includes a wide range of species known for their showy flowers.
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Vaccinium macrocarpon and is a member of the Heath (Ericaceae)
family.
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Yes. They are in the same family (Ericaceae) and even the same genus Vaccinium. But they belong to different genus sections (sub-genera) : cranberries to Oxycoccus and blueberries to Cyanococcus.
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In Botany the family Ericaceae is called ツツジ科 /tsu tsu ji ka/,
but commonly heather is called ヘザー /he zaa/.