  We report on the results of a search for an intergalactic X-ray dust
scattering halo in a deep observation of the bright, high-redshift quasar QSO
1508+5714 with the Chandra X-ray Observatory. We do not detect such a halo. Our
result implies an upper limit on the density of diffuse, large-grained
intergalactic dust of Omega_ dust < 2 x 10^-6, assuming a characteristic grain
size of 1micron. The result demonstrates the sensitivity of this technique for
detecting very small amounts of intergalactic dust which are very hard to
detect otherwise. This will allow us to put important constraints on systematic
effects induced by extinction on the interpretation of the SN Ia Hubble
Diagram, as well as on the amount and properties of cosmological dust being
expelled into the intergalactic medium at early z~2 times.
