I asked the good folks at Chandra if they had or could take infra/xray photos of Titan and its atmosphere.

This is their response:

Thank you for your interest in the Chandra X-Ray Observatory!

In reply to your question, Saturn will have a conjunction with the Crab
nebula on January 5,2003. This will be a rare event since Saturn passes
very close to the pulsar in the Crab. The plan is to observe the
Saturn-Titan system at this time, and to see how Saturn’s rings, and the
atmospheres of Saturn and Titan absorb X-rays. This data may give us new
information about the
composition of these objects.

I hope that the information above helps and please contact us again with
questions concerning Chandra.

-Chandra Webmaster

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Their way of hitting two... several birds with one stone.

Cheers,

Marcia