Dear Nina,
I'm not sure if anyone got back to you on this - in any case you have to define what you want to export to a full NMR-STAR project first. The best way is to use the Entry Completion Interface (ECI), where you can 'connect' all information together that needs to go into the NMR-STAR file.
On the other hand, if you only want to write out chemical shift information, you can try ''Process->Write BMRB chem shift deposition".
Good luck,
Wim
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