I looked at a lot before I found one without chemicals or even glycerine. Coral White by Coral LLC and you can find in store or at vitacost.
If you really want to get your teeth and gums clean buy a "water pick" type of cleaner and use it every day. It has done wonders for my breath as well as plaque buildup on my teeth. My husband's dentist recommended a brand called Hydrofloss and I started using it as well. I could not be happier. It is the best thing we have done in addition to the new toothpaste.