Detailed studies of the shocked region associated with the Orion brigh
t bar are presented. The millimeter wave spectral lines of (CO)-C-12 (
J = 1-0), (CO)-C-13 (J = 1-0), CS (J = 2-1), HCO+ (J = 1-0), and H51al
pha have been observed across the bright bar. The intensity of all the
molecular species shows a rapid increase close to the ionization fron
t and a significant falloff at a distance of approximately 50'' farthe
r out from it. This suggests the existence of a layer of dense molecul
ar gas just outside the ionization front. This layer has a velocity re
dshifted by 1-2 km s-1 relative to the ambient molecular cloud, which
can be due to acceleration by thermal and kinetic pressure from the H
II region or due to passage of a shock. The high-density molecular lay
er associated with the bar is probably a shock-compressed layer driven
by the ionization front of M42. A multitransitional analysis of the C
S emission shows that the H-2 volume density of this molecular gas is
larger than that of the ambient gas by a factor of 3. The apparent den
sity enhancement of a factor of 3 in the shocked gas is too small for
a radiative shock in a homogeneous medium; density inhomogeneities or
clumpiness in the pre- and postshocked layer may account for this appa
rently small compression ratio. This layer is exposed to intense UV ra
diation from the Trapezium stars and a photodissociated region is form
ed between the neutral layer and the ionization front. The similarity
in distribution of the thermally excited H-2 emissions arising from sh
ock fronts and/or dense photodissociation regions and the millimeter-w
ave molecular line emissions originating from cooled shock-compressed
regions also supports the idea of inhomogeneity or clumpiness in the s
hocked cloud. The gas temperature of this shocked layer is about 100 K
and is very high compared with other molecular clouds without an embe
dded heat source. Both shock heating and radiative heating may contrib
ute to maintain this high temperature.