I just finished watching the final episode of Ruri no Houseki (Ruri Rocks) which aired today, and I really loved the entire series, so please all go watch it!
One thing I noticed throughout the entire show is the presence of microscopes made by Olympus, which is a real-life brand. After looking deeper into it, I found that the exact model seen on screen seems to be the SZX7. You'll find a picture of the real Olympus SZX7 as well as more images of it from the anime below (mild spoilers are included).
The real Olympus SZX7
Ruri looks for sapphire in a sand sample (episode 4)
Ruri is dejected after realizing the sapphire she found is tiny (episode 4)
Ruri realizes how much work it'll take to go through all her sand samples to track down the origin of the sapphire (episode 4)
Ruri, Imari, and Nagi look through the final sand samples (episode 6)
Imari proudly shows the microscope she brought on their hot springs trip (episode 13)
Ruri and Shouko prepare samples to look for tiny meteorites (episode 13)