  Focusing specifically on physics periodicals, I show that the journal Impact
Factor is not correlated with Hirsch's $h$-index. This implies that the Impact
Factor is not a good measure of research quality or influence because the
$h$-index is a reflection of peer review, and thus a strong indicator of
research quality. The impact gap between multidisciplinary journals and
physics-only journals is significantly reduced when $h$ is used instead of the
Impact Factor. Additionally, the impact of journals specializing in review
articles is inherently deflated using $h$ because of the limited number of
annual publications in such periodicals. Finally, a reordering of the top
ranking journals occurs with $h$ when only the physics articles of
multidisciplinary journals are considered, falling more in line with the
average physicist's interpretation of a journal's prestige.
