We have used the Effelsberg 100-m telescope to observe the C91 alpha r
adio recombination line towards the photon-dominated regions associate
d with NGC 2023 and S 140. This has been supplemented with observation
s of the (CO)-O-18 (2-1) and (3-2) lines using the 3-m KOSMA telescope
. We have analyzed the C91 alpha observations using 1-dimensional homo
geneous models in order to derive estimates of the density and ultravi
olet radiation field. Towards both sources, our radio line data sugges
t densities of 10(5) cm(-3) although we have evidence for a drop-off t
o a value of around 10(4) cm(-3) at offsets of 0.4 pc from the excitin
g star in NGC 2023. The molecular line data towards NGC 2023 are also
consistent with high densities (certainly above 10(4) and probably of
order 10(5) cm(-3)). We discuss the influence of clumping on these mod
els and conclude that densities as high as 10(6) cm(-3) are possible i
n both the molecular and carbon line emitting gas.