We present 450- and 800-mu m images, made with the James Clerk Maxwell Tele
scope, of the NGC 2024 molecular ridge. The seven previously known compact
cores, FIR1-7, have been detected, and FIR5 has been resolved into a compac
t object and an associated extended source to the east. The estimated masse
s of the dense cores vary between 1.6 and 5.1 M. per 14-arcsec beam, assumi
ng a dust temperature of 30 K and a dust opacity of kappa 800 mu m = 0.002
m(2) kg(-1). A spectral index map made from the 450- and 800-mu m images sh
ows spatial variations, with the spectral index, alpha (F-nu proportional t
o nu(alpha)), bring systematically lower towards the dense cores. We interp
ret this as evidence for a lower value of the frequency dependence of the d
ust opacity, beta, towards the denser cores relative to the surrounding mol
ecular material. This may indicate that grain growth is occurring in the co
res, prior to planetesimal formation. By comparing the high-resolution 450-
mu m image with interferometer maps of the integrated CS(2-1) emission, the
previously reported discrepancy between dust continuum emission and molecu
lar line emission is found to be very localized. Depletion and temperature
variations are discussed as possible explanations.