Oooo, that's cool. So you take the battery metaphor (which in the real world was why lithium was picked to begin with, according to the usual narrative) and then turn it up to eleven.
Well not a battery but a capacitor. I think of the crystals more like super capacitors that can charge/discharge large amounts of energy at once which is useful for firing full phasers while the emergency batteries have a slower and lower discharge rate.
In addition to "Elaan of Troyius" and "Mudd's Women", lithium/dilithium is mentioned in "Where No Man Has Gone Before", "Mirror,Mirror", "The Alternative Factor", "The Day of the Dove" and "The Paradise Syndrome". Taken as a whole, it just seems to me that the crystals store energy as well as deliver energy rapidly via the energizers. And taking an idea from "The Alternative Factor", can create more M/AM fuel when energized. This would then fit nicely in the references to the Enterprise having unlimited range and can regenerate it's engines/power. I'll apologize ahead of time for my long-winded reply
In "Mudd's Women" we see that the batteries start supplementing the ship's power after the loss of 2 crystals.
SULU: We're overloading, Captain. Engine temperatures climbing.
CREWMAN: This is the Engine room. Temperatures are passing the danger line.
FARRELL Our deflector screen's weakening, sir. We can't protect them much longer.
SULU: That was one of our lithium crystal circuits, sir.
...
SULU: Another circuit, sir.
...
SULU: Another lithium circuit. Now supplementing with battery power, sir.
...
SCOTT: I don't know, sir. With those three lithium crystals gone
SPOCK: It'll take longer on battery power.
And with 3 crystals gone, Kirk is already concerned about the power situation.
KIRK: Deflector screen down, Mister Farrell. Save the power.
Which leads to the converter assembly having a bypass so without the crystals they could still draw power from the central M/AM reactor although they would not be able to operate at the equivalent of "full crystal power" or regenerate more M/AM fuel, IMHO. In this case with the assembly blown and burned out, a bypass was not possible.
On one crystal, yes, they were pulling the entire ship's power but we know from the previous dialog that the power was already cutback to the point that batteries had to supplement the difference.
SCOTT: One lithium crystal left, and that with a hairline split at the base.
SPOCK: Better rig a by-pass circuit.
SCOTT: Can't. We blew the whole converter assembly.
...
SPOCK: The entire ship's power is feeding through one lithium crystal.
KIRK: Well, switch to by-pass circuits.
SCOTT: We burned them all out when we super-heated.
And when the last crystal is gone, batteries take over while the impulse engines carry them there on the last 14 hour leg of the journey to orbit. Interestingly, when Spock estimated the travel time it was still with 1 crystal and presumably warp available. Did the final 14 hours on impulse still occur at FTL? I think it did...
SCOTT: Our last crystal, sir. It's gone.
SULU: Captain Kirk, engineering section reports our entire life-support system is now on batteries.
...
Captain's log-- Stardate 1330.1. Position, fourteen hours out of Rigel 12. We're on auxiliary impulse engines. Fuel low, barely sufficient to achieve orbit over the planet. Lithium replacements are now imperative.
For orbit they were on batteries only. This would suggest that the Enterprise has no capability to replenish her impulse engine fuel. We see this problem come up again in "The Doomsday Machine" as well.
KIRK: That's the last time I'm giving an order twice, gentlemen. We're down to battery power, and we're low on that.
SCOTT: It'll get us to Rigel 12, sir, but it'll be a shaky orbit.
KIRK: Just hang us in long enough to get six crystals, Scotty. That's all we need.
SCOTT: I'll get you there.
...
SULU: Power curve still dropping, Captain.
FARRELL: We'll make orbit, sir. A temporary one.
KIRK: Lay in. Computer?
SPOCK: We can sustain this orbit for three days, seven hours.
KIRK: More than enough time. Communications, have a representative of the Rigel 12 miners meet us here to discuss our needs. Beam him up first pass over their camp.
...
SPOCK: Conserving batteries, sir. Half power.
MUDD: I'm told they have only three days of orbit left before they start spiraling in.
Of course Kirk gets the crystals with 40-some minutes of battery power left.
In "The Alternative Factor" the crystals can be charged and drained of power.
MASTERS: Whatever that phenomenon was, it drained almost all of our crystals completely. It could mean trouble.
KIRK: You have a talent for understatement, Lieutenant. Without full crystal power, our orbit will begin to decay in ten hours. Re-amplify immediately.
Plus, they are useful in locating out-of-universe phenomena from an antimatter universe
SPOCK: Source of radiation, Captain.
KIRK: How is it the scanners didn't pick it up before?
SPOCK: Because it is not there.
KIRK: Another riddle? First Doctor McCoy, then you?
SPOCK: What I mean, Captain, is that according to our usual scanning procedures, there is nothing there that could be causing that effect.
KIRK: But it is there.
SPOCK: Affirmative. I confess I am somewhat at a loss for words. It may be described, though loosely and inaccurately, as a rip in our universe.
KIRK: A what?
SPOCK: A kind of physical warp, Captain, in which none of our established physical laws apply with any regularity. However, with the dilithium crystals, I was able to localise it.
LAZARUS: Yes! That's it! The dilithium crystals. With their power we could do it.
...
KIRK: What do the crystals have to do with it? All they show us the point of radiation.
LAZARUS: That's just it, that's the key. That's the way to trap him. That's the solution. Captain, I beg of you. I plead, I demand. Give me the crystals.
KIRK: Out of the question. Those crystals are the very heart of the power of my ship.
In this request, it sounds like Kirk is requesting all the crystals to be fully charged and pulled for use in an experiment:
KIRK: Lieutenant, can you prepare an experimentation chamber in ten minutes? All dilithium crystals, full power.
MASTERS: I'll check, sir.
And in Kirk's log, he notes that the ship is unable to function at full power with missing crystals. This is inline with "Mudd's Women" where the gradual loss of crystals has the ship supplementing automatically with auxiliary and battery power. If the ship were to lose all crystals, it would just operate on auxiliary and battery power as needed.
Captain's log, stardate 3088.7. We are no closer to finding an answer to the strange phenomenon than we were at the beginning. Not only have two of my crewmen been attacked, two of our dilithium crystals are missing, and without them the Enterprise cannot operate at full power. They must be found.
And another reference to crystals holding energy that can be charged and discharged (rapidly in one shot, like a capacitor):
LAZARUS: That's very bad, Captain. If he comes through at a time of his own choosing. But I think if we hurry and you will
help me, he can yet still be stopped. There's little time left. He meant to come through. When you accidentally passed through, it drained his crystals. It'll take him about ten minutes to re-energise with the equipment aboard his ship. That should give us enough time.
Moving on to "Elaan of Troyius". Whatever Kryton's bomb and/or sabotage did involved the fusing of the converter assembly and it's crystals. This conveniently prevents the damaged/sabotaged crystals from being bypassed. In my thinking, the sabotaged crystals would've created M/AM fuel at the wrong temperature or configuration that would've caused a catastrophic explosion ala "The Naked Time" when used in the antimatter engines aka antimatter pods.
SCOTT: The antimatter pods are rigged to blow up the moment we go into warp drive.
...
SCOTT: I've got bad news, Captain. The entire dilithium crystal converter assembly is fused. No chance of repair.
SCOTT: It's completely unusable.
KIRK: No chance of restoring warp drive?
SCOTT: Not without dilithium crystals. We can't even generate enough power to fire our weapons.
I don't think the central M/AM reactor is turned off because it would then mean a 26-30 minute wait time to restart the reactor which didn't happen in the episode. So during the battle, the central M/AM reactor likely just sat idle because the crystals were sabotaged and the converter assembly couldn't be bypassed.
SCOTT: Our shields will hold for a few passes, but without the matter-antimatter reactor, we've no chance. Captain, can you not call Starfleet on this emergency?
The "energy flow" doesn't give us enough information by itself to determine whether it is the energy flow
from the crystals or
through the crystals. But we are told the energy output could just as easily cause bad things to happen downstream.
SPOCK: Captain, these are crude crystals. There is no way to judge what the unusual shapes will do to the energy flow.
SCOTT: Aye, that could blow us up just as effectively as
KIRK: Let me know when it's in place. Open a hailing frequency.
In "The Paradise Syndrome", we see the ship unable to maintain full power with one of the crystals ejected for examination.
CHEKOV: Power dropping, sir.
SPOCK: Engineering, maintain full power. Full power.
SCOTT: Dilithium crystal circuit's failing, sir. We'll have to replace it.
And lastly in "The Day of the Dove" we once again see that if the crystals fail they would no longer have engine power. They appear to be both deteriorating and discharging at the same time.
SCOTT: The ship's dilithium crystals are deteriorating. We can't stop the process.
KIRK: Time factor?
SCOTT: In twelve minutes, we'll be totally without engine power.
...
SCOTT: There's no change, Captain. The dilithium crystals are discharging.
SPOCK: There's nothing we can do about it.
One more - there is a line in "The Tholian Web" which I interpret as having something to do with charging the crystals back up again. I don't think it refers to the M/AM reactors as they would not need to have their power level percentage "built up" over time. The crystals on the other hand, do appear to need time to charge back up.
SCOTT: Spock, that hit from the Tholians has fused our power supply converters.
...
SCOTT: That'll be about twenty minutes. Aye, she'll be back together. But we'll only have about eighty percent power built up.
I've pondered why then the Enterprise doesn't just have more crystals installed to increase more power available. I figure that is due to a combination of economics and rarity of the crystals at that time and also a practical size on M/AM reactor+energizer systems. Thus, a 4 crystal powered ship might be considered a very powerful
and expensive ship compared to a ship with less crystals. All IMHO
