[AUCTeX] difference between LaTex-mode and latex-mode

[Jannis]

Dear Auctex users,


is there any difference between the differently capitalized versions of 
the LaTex string? For example here in .emacs:

(add-hook 'latex-mode-hook 'turn-on-fic-mode)
(add-hook 'LaTeX-mode-hook 'turn-on-fic-mode)

Would these two lines of code mean something different and activate for 
different modes? If yes, under which circumstances would I need the 
LaTex spelling and under which the latex one? Or can I skip one line? I 
have just copied .emacs lines from several places into mine, so I might 
have copied someone elses error ...

Thanks a lot
Jannis