This is the build I usually use when playing Lux. Lux has HUGE basestats and early damage. ABUSE THIS! Don't you dare building Rod of Ages on Lux. She is meant to burst, not to deal sustained damaged. Ability Power is what you are looking for. Build one or two Dorans if you find yourself in need of more mana. I build two Dorans instead of Chalice of Harmony because those Dorans actually add some AP. Your main harrass skill is Lucent Singularity (E). Try landing autoattacks inbetween your skills during your laningphase. Once your target is about 50-60% HP you should be able to instantly kill him when you manage to snare him. If he still lives and you still have ignite up, don't be afraid to flash in turret range for a quick ignite and autoattack combo. You probably still have your shield to help you get to safety. Piece of cake.

This build is simply for people who quickly need a solid Lux build. I won't be updating it. Your advice will be appreciated but it will not be added.