Flat-cone geometry in D10 (J. Rodríguez-Carvajal) The banana detector of radius r is supposed to be fixed to the arm along the X



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Flat-cone geometry in D10 (J. Rodríguez-Carvajal)
The banana detector of radius R is supposed to be fixed to the arm along the xL axis and has the possibility to be rotated by an angle µ around xD=xL. We defined a detector frame having the same orientation as the laboratory system when µ=0. Notice that for D10 we use a Busing-Levy L-system with the zL-axis pointing downwards. For a general position of the detector the relation between the L and D systems is given by the matrix providing the components of a vector in the D system when their components in L are known:

A diffracted beam impinging the detector is shown in the following figure. We can deduce the relations between the angles (µ, α) of the detector and the angles (γ, ν) of the diffracted beam from the geometry shown in the figure.




From the figure on the left side one can see that:

OO’=OP=R, OS = R cos, SP = R sin.


So, in the detector system the vector
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