'`\spacefactor` complaints'

The errors

! You can't use `\spacefactor' in vertical mode.
\@->\spacefactor 
\@m

or

snippet.latex

! You can't use `\spacefactor' in math mode.
\@->\spacefactor 
\@m

or simply

snippet.latex

! Improper \spacefactor.
...

bite the LaTeX programmer who uses an internal command without taking “precautions”. An internal-style command such as \@foo has been defined or used in a private macro, and it is interpreted as \@, followed by the “text” foo. (\@ is used, for real, to set up end-of-sentence space in some circumstances; it uses \spacefactor to do that.)

The problem is discussed in detail in “`@` in macro names”, together with solutions.