A couple of important notes regarding passive radiator loudspeakers: (1) conventional passive radiator designs exhibit poorer transient response than their vented-box counterpart, the latter of which is typically worse than standard closed-box designs. With careful design, parts selection and tuning you can mitigate the poorer transient response to some extent. And (2), passive radiator loudspeakers have a minutely HIGHER cut-off frequency than equivalent vented-box loudspeakers. Nevertheless, passive radiator loudspeakers are certainly worth considering.
For low volume displacement (Vd), low-frequency passive radiator loudspeaker applications, i.e. excluding subwoofer applications, the effective radiating area of the passive-radiator diaphragm (Sdp) should typically be equal to or slightly greater than the effective radiating area of the driver diaphragm (Sd). In other words a standard 5.25-inch mid-bass driver would typically be paired with a 5.25-inch or 6.5-inch passive radiator and a standard 6.5-inch mid-bass driver would typically be paired with a 6.5-inch or 8.0-inch passive radiator. A 10-inch passive radiator is far too large to work properly with a 5.5-inch mid-bass driver. The difficulty in using a passive radiator in a loudspeaker that uses a single mid-bass driver that is equal to or smaller than 6.5 inches lies in finding off-the-shelf passive radiators that are smaller than 8 inches; the selection is extremely limited. I recommend that you consider using the smaller H9944 SP18R passive radiator from SEAS or an equivalent unit.
You would be risking a much greater potential for problems if you attempt to redesign the loudspeaker enclosures without access to the Thiele-Small parameters for the specific mid-bass drivers used in the Athena AB (or AS?) B1 loudspeakers. (Call or write Athena and see if they will supply you with the Thiele-Small parameters for your mid-bass drivers; under the circumstances I don’t see why they wouldn’t.) Without the proper Thiele-Small parameters it would be best to construct the replacement loudspeaker enclosure to closely match the internal box volume (Vb) of the original Athena loudspeaker. Likewise, it would be a good idea to stick to the same internal enclosure dimensions, roughly. (Don’t forget to thoroughly line the inside of the loudspeaker enclosure with flexible open-cell acoustic foam and/or other sound damping/absorbing material. Even better yet you should consider applying a liberal layer of viscoelastic damping material* to the inner enclosure walls prior to applying the porous sound absorbing material.)
By the way, if your budget allows, I recommend using West System two-part epoxy from Gougeon Brothers to assemble your loudspeaker enclosures.
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Passive Radiators - Madisound Speaker Components
https://www.madisound.com/store/advanced_search_result.php?keywords=passive+radiator&categories_id=&search_in_description=1&inc_subcat=1
SEAS Prestige Passive Radiators
http://www.seas.no/index.php?option=com_content&task=view&id=40&Itemid=52
Scan-Speak A/S Passive Radiators
http://www.scan-speak.dk/passive.htm
audioXpress (Old Colony)
– Loudspeaker Design Cookbook by Vance Dickason
http://www.audioxpress.com/bksprods/products/bkaa68.htm
– Bullock on Boxes
http://www.audioxpress.com/bksprods/products/bkaa8.htm
– Loudspeaker Reference Books
http://www.audioxpress.com/bksprods/BKSLOUREF.htm
What is better for low and deep bass; a port or a passive radiator?
https://answersrip.com/question/index?qid=20100625192841AAnsIaH