We describe a spectrometer used to evaluate curved crystals, crystals
originally intended for cosmic x-ray spectroscopy on the AXAF satellit
e. The most important feature of the AXAF instrument was the high-reso
lution spectra (lambda/Delta lambda as high as 2000) that could be obt
ained from astronomical objects over the lambda range 1.2 to 100 Angst
rom. The crystals are formed into narrow cylindrical facets and assemb
led into a pseudotoroidal surface. The spectral resolution is degraded
by a number of effects, which we describe. The primary effect over wh
ich we have control is the figure of each cylindrical segment. We meas
ure deviations from the nominal cylindrical shape, which we call Delta
theta(slope), using a laboratory x-ray spectrometer. We present spect
rometer data for several crystal samples, evaluated at different energ
ies, We compare these results with similar tests performed at optical
wavelengths. Our results indicate that the Delta theta(slope) error ca
n be controlled, and that curved crystals with the desired resolving p
ower can be fabricated.