JH,
I stand corrected on TIX melting temps. Apparently TIX can be had in different melting temps. I will defer to your experience with TIX.
I am unfamiliar with any shrinking in steels or gun barrels from heat generated during soldering or even much higher temperatures. My experience is that grain growth from extended high heat application can cause some dimensional growth and martensitic steels can shrink a very small amount when hardening. I have a graphic example of dimensional growth from grain growth in something I'll try to remember to post a picture of. The example item gets heated regularly to somewhere in the 1800-1900F range from high output propane burner running close to 2000F. The grain growth caused very obvious dimensional growth changes. But this takes extended time at elevated temps or repeated elevated temps.
I am not aware of any steels that exhibit permanent appreciable dimensional change (greater or lesser) effect of temperatures used in soldering with tin/lead eutectic solder. But I'm always learning.
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