Eleven ways to say "accidentally" without saying "accidentally"

I suspect most experiments in the Brainerd Group happened serendipitously.
Credit: DVDizzy

From the inbox, a short article by Belle Dumé that leads to a funny sentence in a recent article in Science Advances (emphasis mine):

During our studies on conjugated D-A polymers with positively charged moieties in the side chains, we accidently discovered that incorporation of ammonium salts into certain conjugated D-A polymers can improve the interchain packing order and enhance their charge carrier mobilities. 

I suggest that, next time, they use the following adverbs rather than "accidentally":

1. fortuitously 
2. serendipitiously 
3. by circumstance
4. not by design
5. happily
6. as part of a Design of Experiments matrix (I kid, I kid!) 
7. inadvertent
8. by chance
9. by coincidence
10. as an unintended experiment
11. in the style of Professor Brainerd

Congratulations to Luo et al.; sounds like an interesting project.