A Fourier transform spectrum at a resolution of similar to 125,000 has been
recorded of molecular hydrogen emission in the reflection nebula NGC 7023,
in the S(1) v=1-0 line at 2.121 mu m for a region 5 arcsec in diameter. Th
e line is resolved and the derived linewidth corresponds to a kinetic tempe
rature of 500+/-70 K, if all motions are thermal. Comparison with data for
HI, CI, CII and CO shows that there is a velocity gradient in the molecular
material in the photodissociation region, demonstrating the motion of the
photodissociation front relative to the molecular cloud. Models of the phot
odissociation region experience only limited success in reproducing the kno
wn brightness of the H-2 emission in conjunction with the kinetic temperatu
re determined here.