I might be able to give you a clue.
You may use this
http://www.schuemann.com/Portals/0/D...rrel_Steel.pdf
Or if clicking such things makes you nervous,Go to Schuemann barrels .There will be a (website offline) notice. Ignore it,up top you will see "documentation"
Go there.
You will find the topic "barrel steel" Read it.
Type 416 stainless is pretty much type 410 stainless with the addition of Sulphur to make it free machining. The Sulphur stringers can cause strength and failure problems.
No point in me re-writing the article.
If you read on another topic."cleaning" from the same "documentation" you will find that chlorinated hydrocarbon solvents attack these sulphur stringers in the steel.
They are not recommended for use in stainless barrels.
Extreme cold,IIRC, may effect 416R steel,also.