The distributions of H-2 1-0 S(1) emission in the young planetary nebu
lae BD +30-degrees 3639 and NGC 7027 show striking similarities: both
have limb-brightened arcs of H-2 emission with radii that are about tw
ice those of their H II regions. The extended H-2 emission in both neb
ulae is attributed to a photodissociation region. This implies that th
e neutral envelopes of these young planetaries extend well beyond the
edge of the H II region, in contrast to older nebulae where the ionize
d and molecular gas are more nearly coextensive. The contrast between
young and old planetaries can only be explained if the molecular envel
ope is inhomogeneous. We endorse a scenario for the evolution of a pla
netary nebula in which a photodissociation front propagates through th
e clumpy molecular envelope, leaving the ionized core embedded in an e
nvelope of partially ionized atomic gas and dense molecular knots. In
an evolved planetary, the H II region has expanded to engulf some of t
he dense molecular knots, which can be identified with bright [O I] an
d H-2 1-0 S(1) condensations, while the remnant of the photodissociate
d envelope may be detected as a faint optical halo.