That looks bigger than a .5 gallon tank, but maybe because he's a baby? The layout makes it look like a much bigger tank, which is nice. It looks like it would be a great shrimp tank.
I would be cautious of a .5 gallon tank, especially with a baby. They are very sensitive and they need warmer water than normal. That would be hard to regulate the temperature on reliably.
Also, I believe that the babies give off a LOT of hormones that will stunt their growth in a small water volume.
I blame spelling mistakes on my iPad. You should too!