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 November 2nd, 2010, 10:22 AM #1 Newbie   Joined: Nov 2010 Posts: 1 Thanks: 0 coordinate Systems, standard basis question The vectors v1=[2.6; -1.5; 0] v2=[0, 3, 0] v3=[0, 0, 4.8] form a basis for unit cell for a crystal lattice for titanium. (units in Angstroms) I know that in alloys of titanium, some additional atoms may be in the unit cell at the octahedral and tetrahedral sites (so named this because of the geometric objects formed by atoms at these locations. One of the octahedral sites is [1/2; 1/4; 1/6] relative to the lattice basis. Determine the coordinates of this site relative to the standard basis of R3(3-space). What should I do? Should I do 1/2*v1 + 1/4*v2 + 1/6*v3? What will this do?
 November 2nd, 2010, 12:07 PM #2 Newbie   Joined: Nov 2010 Posts: 8 Thanks: 0 Re: coordinate Systems, standard basis question Hi, The question is how your Cartesian (?) coordinate system (the one in which you give those vectors $\vec{v}_i$) is defined? As a crystallographer the first thing I would would be to check the Ti structure in ICSD base. On the website there is demo version where you can download even some CIF files. Cheers, Radek

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