archangel's is a no-no. ToG isn't a good item on Ahri simply because she has no strong way of farming it out, and by extention the AS isn't a good item either. Even on efficient stack farmers you're looking at an item that won't reach it's prime till a half hour after purchase.
Lichbane is incredibly niche because of Ahri's AA range.
An early game hextech revolver isn't a bad idea. The jump to WOTA is. Put the 1000 gold you save toward a blasting rod for Rab's or Rylai's or something.
Morello's Evil Tome shouldn't even register on your radar. For what Ahri does DFG is just a better item unless you can't be arsed to use it's on-use.
There's no reason to take improved summoner spells in your offense tree over increased durations of rune buffs. Ahri is to the blue golem buff what kittens are to cream.
Oh, and you should always assume you start with boots. Any competent harassment oriented mid (Cassiopeia, Karthus, ect) will absolutely destroy you if you don't have mobility.
Why do people feel the need to regurgitate the stats of every skill back at you in every champion guide?
DFG is indeed far better than Morello's. Just set all your items on smart cast to make chaining your DFG into your other skills easier. All your summoner spells except Flash should also be on smart cast.
Rylai's ought to be a serious candidate for being part of the core build. Ahri's spammability generally means that she can constantly reapply slows. It allows Ahri to kite/harass and sets up kills for your team in the late game. It's too valuable to merely dismiss as being merely secondary since it amplifies what Ahri does best: harass, harass, harass.
Lich bane isn't bad, but there are just simply higher priorities on the list. The problem is that most of what it has to offer is easily beaten by other items. It gives you movement speed, but you might as well get Rylai's to constantly slow enemies instead. If you want MR, Abyssal Scepter and Treads are a better option (and shreds MR for more damage). And the proc damage doesn't become really useful until you have a bit of AP backing it, which you may as well scale, since that damage builds into your other skills without the need to auto-attack (get a Deathcap first). It's range isn't too bad, since AA range is about where most of her skills will be most accurate. But then again, items like Rylai's let you be that close more safely.
I personally don't use WoA very much anymore. It's a bit unnecessary and I tend to use health pots, Catalyst and the passive proc to sustain instead. I'm a convert to the "boots + 3 health pots" school of thought. An early RoA takes care of most my mana needs, gives me some AP and, most significantly, health. It synergizes extremely well with the health you're getting from a Rylai's.
I did use a build I once dubbed as the "book build." It basically consisted of scaling AP simply by buying four or five Tomes in succession and only later using them to build Revolver/WoA and DF. You're scaling your AP directly for much of the early game. This makes your harass sting quite a lot and allows you to just farm caster minions with Q. It's only a little less cost efficient than rushing a Needlessly Large Rod.
First of all, thanks for the feedback =]
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