I saw Rogue One last night, loved it!
In the science fiction universe, crystals have often been used as sources or conduits of power. Jen does use the crystal in a Deryni/Jedi way, which did make me think of Shiral Crystals, especially since I read that suggestion here before I saw the movie. However, the Kyber crystals appear to have more power than Shiral crystals. They were also said to power light sabers, and many of them combined together to power the killing beam of the Death Star. In Star Trek similar Dilithium crystals powered the Enterprise. If you read Anne McCaffrey's Singing Crystal series, they mined crystals to power their dimensional flight. ( I loved that series) Oh and let us not forget the Crystal Cave of Merlin's by Mary Stewart.
In the real world, I use crystals every day in the transducers of my Ultrasound machine. They line up about 160 sliver crystals that when taped with an electrical pulse, sends out pulses of sound. Then the crystals go silent to wait for the echo of the sound they sent out to return. The crystals turn that echo into electrical pulses that make up the Ultrasound image. Don't forget the diamond on the tip of your record player needle that those of us old enough used to listen to.
The world has a fascination with crystals, and rightly they should. I love to collect geodes with crystals inside.