Kavis Alpha IV

Planet given to the nanites

An uninhabited planet granted in 2366 as a homeworld to the sentient nanites that had evolved aboard the Enterprise-D, in the sector where Paul Stubbs ran his stellar experiment.

Kavis Alpha IV is a planet in the Kavis Alpha sector, referred to in the third-season Next Generation opener Evolution.
In 2366 the Enterprise-D carries the scientist Paul Stubbs to the sector to launch a probe into a binary system where a neutron star draws matter from a red giant and erupts every 196 years. The ship's systems begin to fail, and the cause proves to be nanites accidentally released by Wesley Crusher, which have multiplied and developed a collective intelligence.
After Stubbs kills many of them and they retaliate, Data offers himself as a channel so that Picard can speak with them. Peace is made, and the nanites, who have outgrown the ship, ask for a world of their own. Stubbs, restored to favour, arranges for Kavis Alpha IV to be set aside as their new home.