Kimberlite:
It is a variety of micaceous peridotite, low in silica content and high in magnesium content, in which diamonds are formed.
Etymology : Kimberley Mine in South Africa.
Kornerupine: Mg4 (Al,Fe+3)6 (Si,B)4 O21 (OH) 
Etymology : from the Nadish geologist’s name A.N. Kornerup (1857-1881).
Discovered in 1884 by Lorenzen.
See the gallery->
Kunzite:
Etymology : in honnor of Georges Frederick Kunz, gemologist and then buyer for Tiffany & C°.
Kunzite is a pink-violet Spodumene.
It’s first discovery was in Connecticut (USA). The first large occurence was found in 1902 in the Pala area in California.
The largest occurences of kunzite are from Brazil, Afghanistan and Madagascar.
The world record facted Kunzite is a 880 carats gem (Smithsonian Institute - Washington - USA.)
A lot of kunzites on the market are treated by irradiation to obtain a deaper color.
See the gallery->
Kyanite:
Also called Disthene.
Etymology : from the Greek "Kuanos" = blue, regarding is color
Discovered in 1789 by Werner, Mt Greiner, Zillerthal, Ostreich.
See the gallery->