Dear  Marino Vetuschi Zuccolini wrote:
> trigonal(r)
>                    ===================
>                    for these groups, the z-axis is chosen as the 3-fold axis, 
> but the
>                    crystallographic vectors form a three-fold star around the 
> z-axis,
>                    and the primitive cell is a simple rhombohedron. The 
> crystallographic
>                    vectors are:
>                          v1 = a(tx,-ty,tz),   v2 = a(0,2ty,tz),   v3 = 
> a(-tx,-ty,tz).
>                    where c=cos(alpha) is the cosine of the angle alpha 
> between any pair
>                    of crystallographic vectors, tc, ty, tz are defined as
>                         tx=sqrt((1-c)/2), ty=sqrt((1-c)/6), tz=sqrt((1+2c)/3)
>   

in order to extract c you are forgetting to divide v1 by a=|v1|.

stefano

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