Abstract: Clinkered materials containing high concentrations of {(C,K,N,M)4(A,F,Mn,P,T,S)3(cl,{overscore (S)})} (crystal X), and {(C2S)3(C{overscore (S)})3 Ca(f,cl) 2} or {(C2S)3(C{overscore (S)})3Ca(f,cl)2} (crystal Y), and/or {C5S2{overscore (S)}) (crystal Z) directly from the kiln, rapidly hardening ultra-high early strength cement including these clinkered materials, methods for forming and using said compositions and the cements so produced are claimed. The methods include the steps of forming a mixture of raw material containing CaO, MgO, Al2O3, Fe2O3, TiO2, Mn2O3, SiO2, SO3, Na2O, K2O, P2O5 and F, respectively designated C, M, A, F, T, Mn, S, {overscore (S)}, N, K, P and f, and heating said mixture to an elevated temperature between 900° C. and 1,200° C.; before determining average amount of crystals X, Y, and Z.