Lovison..
Refer to MIL-HDBK-5. Thermal values [K, C, alpha] are given for each metal as "curves" on a chart [graph].
The chart goes down to -400F for the 3XX SStl alloys; however the K value-curve stops at -200F. From "0"F-and-up it has a linear trend. From "0"F-and-down it definitely has a NON-LINEAR trend!
MIL-HDBK-5 (H) is available on the net... but it is a huge *.pdf file [~98Mb], so down-loading is a pain! Most tech libraries have a copy.
Regards, Wil Taylor