Kaia

It means well refined and intellectual.

Kaia is also a Hawaiian name that means 'the sea'.

Kaia is a name from a lot of cultures (usually variants like Kaya or Kai). It means "The sea" (Norwegian and Hawaiian [Kai]), "A restful place", "Forgiveness", "Home" (or earth, in reference to it's possible link to Gaia) or "wise child" and "one with a beautiful profile"
It is linked with Japanese, Zulu, Hopi and Hindi, but I'm not sure which meanings go with each culture.

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I've been in love with this name for years because of it's sound and meanings.

I am from Norway and Kaia actually means "dock" in Norwegian (just Google "på Kaia" which means on dock and look at the images) so I'll always associate the name with that but for non Norwegian speaking people this is a nice name. :)

Kaia is also an African name meaning "diamond in the sky".

Kaia doesn't mean "diamond in the sky". That's a made-up meaning, probably inspired by the Beatles' song "Lucy in the Sky with Diamonds". I believe the true meaning of Kaia is the one listed on this site. Be aware that many baby name sites make up meanings that they think will appeal to parents.

Kaia also means Pure.

Pronounced KY-a or KAY-a, I have seen the meaning being either Greek or Scandinavian meaning earth or Hawaiian meaning sea.

Kaia can also be an alternate form of the name 'Gaia,' which is most commonly known as Gaea, a Greek Titan.