polarization ( h )
Calculate the polarization of the beam from a image file header
or a hardware connection.
Polarisation by Bragg reflection is 100% at 90 degrees 2 theta, since
the component in the direction of the diffraction is completely blocked.
For an unpolarized beam that is polarized by a horizontal-plane graphite
crystal ("perpendicular") the following holds in the ideal case:
I-hor-out = I-hor-in = I0
I-ver-out = I-ver-in * sin^2(2*theta) = I0*cos^2(2*theta)
here "theta" is the diffraction angle on the monochromator.
For the denzo polarization parameter this means:
I-ver-out - I-hor-out I0 * (cos^2(2theta)-1) -sin^2(2theta)
p= --------------------- = ---------------------- = ---------------
I-ver-out + I-hor-out I0 * (cos^2(2theta)+1) 1+cos^2(2theta)
Theta=4.72/6.08/13.28 for agka/moka/cuka (according to Dirk Parlevliet).
i.e. sin(theta)=0.1490*lambda, 2d=1/0.1490, d=3.355704
According to Web-Elements for C, c=6.711 Angstrom, or d(002)=3.355
so p=-0.0137 for AgKa, p=-0.0227 for MoKa, and p=-0.1111 for CuKa.
For a "parallel" monochromator, the sign is opposite. |