A Lithium Ion Capacitor is cross between a battery and a capacitor.
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(Let your imaginations run wild for a moment)
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"lithium-ion capacitors have a higher power density as compared to batteries"
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(Let your imaginations run wild for a moment)
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"Lithium-ion capacitors are quite suitable for applications which require a high energy density, high power densities and excellent durability. Since they combine high energy density with high power density, there is no need for additional electrical storage devices in various kinds of applications, resulting in reduced cost of ownership."
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(Let your imaginations run wild for a moment)
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Lithium-ion capacitor - Wikipedia, the free encyclopedia
Real devices
Cylinder Type Lithium Ion Capacitors | TAIYO YUDEN CO., LTD.
you can buy
Lithium Ion Super Capacitors - Taiyo Yuden | Mouser
<Ponder Spending Money Now>
Technical info
http://www.mouser.com/pdfdocs/LICpre...ge20131110.PDF