[HatsuneMiku9999]

2 main questions:
1. how high is the ash melting point?
2. what'll you get?
thanks before,

[Nobby]

Ash mainly based of carbonates of the mineral elements. Mostly sodium- and potassium carbonate. Last one also called pot ash. Melting can be looked up.

[Arkcon]

Ash mainly based of carbonates of the mineral elements. Mostly sodium- and potassium carbonate. Last one also called pot ash. Melting can be looked up.

I'd doubt that carbonates are the final form of trace refractories in burnt organic material, probably stops at the various oxides. 

To the O.P.:  you should look up the composition yourself, and see what is possible, and what's not.  You can start with the definition of 'refractory'.

[magician4]

I'd doubt that carbonates are the final form of trace refractories in burnt organic material, probably stops at the various oxides. 

Question everything (Descartes)

however, "potash" has its name name for a reason:

Potassium carbonate was first identified in 1742 by Antonio Campanella and is the primary component of potash

(from: http://en.wikipedia.org/wiki/Potassium_carbonate )

so, though doubt surely is justified as a general scientific concept, in this case it is inappropriate: a cigarette simply doesn't burn hot enough to result in the "burnt" forms of the respective cations

  in fact, mostly carbonates: that's all you'll get

regards

Ingo