Xenon Flash thyristor trigger
The circuit you have will not work for a couple of reasons:


The MOC3041 is a Zero crossing configuration that will NOT trigger if the T1-T2 voltage is above 20V (this is the maximum spec). Typically these TRIACs will not trigger at 10-15V, so it is very likely that the TRIAC will not trigger at all. You need to use an MOC3023 (or MOC3020 with higher gate current requirements) to ensure you can turn the device on.
The MOC3023 main term should not be connected to a separate power rail. Once you trigger the device it will simply stay on. Connect the selected main term to the MCR12DG Anode terminal This allows the MOC3023 to turn on and be turned off by the MCR12DG once it is on. Now once the voltage on the cap C1 turns negative (it rings with the inductor) it will ensure both devices are off.