Notes from the writings of Mr. Ollivander, HFA
"Thus far, no multiversal exploration has found any material to match the three supreme cores of dragon, phoenix, and unicorn. Wand wood, however, is another matter, and there are many 'canonical' trees with personality enough to contribute to the manufacture of student wands for the Academy.
"Mallorn: A tall tree with pale, often silvery wood. Mallorn-wood makes for a wand that will reject any effort to turn it to the Dark Arts, often to extremes: there have been reports of mallorn wands which misfire if they are used to cast any spell against another person, Dark or otherwise. It is often held that these wands are especially attracted to students who will live a long life; though given the enduring dominance of Learning Through Pain on the Academy's schedule, this can rarely be assumed for any student.
White Tree: The seven White Trees of Tirion, Eressëa, Númenor and Gondor all willingly provide wand-wood, and their longevity means that with careful planning, they will remain viable sources for many years to come. Sadly, however, these wands tend to be drawn to the more arrogant bearers, and are often drawn in anger. This presents a problem for their wielders, since they are also known to be rather brittle, and can shatter without warning.
Taur-nu-Fuin Pine: It is a curious fact that the two forest to bear the name Taur-nu-Fuin ('Mirkwood' in translation) both provide very similar wand-woods. Both forests are said to have been influenced by the presence of Sauron the dark wizard, and their wood might be expected to reflect that darkness, but wands from this source are more ambiguous than that. Certainly, they can easily be used for the Dark Arts; yet they also seem to be drawn to acts of great heroism. It is the simple, everyday spells that prove challenging with these wands, requiring a vigorous personality to unlock their potential.
Lebethron: The hardwood lebethron, growing in Ithilien, is known even by the Muggles of Gondor to be fond of travellers. Many a wanderer has found herself claimed by a lebethron wand, and has found it to stand her in good stead during her adventures. The density of this wood adds an uncommon weight to its spells, and a dueller attempting to use one may find their attacks rather more potent than they intended.
Laurelin & Telperion: The wood of the Two Trees has been used only sparingly in wandmaking; for while both trees have been willing to provide of their wood (Laurelin rather more so, it must be said), their semi-sacred status, plus the necessity of only taking from the furthest branches, has restricted the supply of this material. These wands, it must be said, are rather showy: even the least spell is accompanied by a burst of light. They are not fond of adventure, and the few that have been made have all fallen into the hands of students who are content to stay close to home - wherever that home may be."