Think of it this way:
* Eukaryote: The broad category, like "Animalia" (animals)
* *Homo sapiens*: The specific scientific name, like "dog" (Canis lupus)
Eukaryotes are a diverse group, including animals, plants, fungi, and protists. Each of these groups has its own scientific classification. For example:
* Animals: Kingdom Animalia
* Plants: Kingdom Plantae
* Fungi: Kingdom Fungi
* Protists: Kingdom Protista
Therefore, there's no single scientific name for all eukaryotes, but rather a broad category encompassing various kingdoms.