As nouns the difference between dine and athabascan
is that
dine is while
athabascan is any member of these peoples.
As an adjective athabascan is
pertaining to a group of peoples mostly inhabiting alaska, western canada, the pacific coast of california and oregon, and the navajo and apache peoples in the american southwest sometimes thought to have been the second migration of peoples into the americas.
As a proper noun athabascan is
the family of languages spoken by these peoples.