Backup unsaved work


I was writing code in multiple tabs today, and in between that installed another, unrelated, program on my computer. That crashed my system, and I have not been able to boot back into it. I have taken a back up of my project folders using the Ubuntu LiveCD, but I still have unsaved work. Is there any way to back up the files where the unsaved work is stored? I saw this discussion, but did not understand anything that might solve my problem. I think I should have the latest version of Atom as I apt-get update, and upgrade regularly.

Note, my machine was running Ubuntu 16.04.