21st-IPhO21 - Figure 1 Diffraction of a parallel X-ray beam...

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Unformatted text preview: Figure 1 Diffraction of a parallel X-ray beam along the z-axis. The angle between the crystal and the y-axis is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igure 2. The cubic latice of Potassium Chloride in which the K + and Cl- wons have almost the same size. Figure 3. Scattering of X-rays by a powder of KCl crystals results in the production of concentric dark circles on a photographic plate. Figure 1 The spaceship Atlantis (A) with a satellite (S) in an orbit around the earth. The orbit lies in the earths equatorial plane. The magnetic field (B) is perpendicular to the diagram and is directed towards the reader. ,Q VRPH PHDVXUHPHQWV WKH VR FDOOHG SRZGHU PHWKRG LV HPSOR\HG $ EHDP RI ; UD\V LV VFDWWHUHG E\ D SRZGHU RI YHU\ PDQ\ VPDOO FU\VWDOV 2I FRXUVH WKH VL]HV RI WKH FU\VWDOV DUH PXFK ODUJHU WKDQ WKH ODWWLFH VSDFLQJ D 6FDWWHULQJ RI ; UD\V RI ZDYHOHQJWK QP E\ 3RWDVVLXP &KORULGH >.&O@ ZKLFK KDV D FXELF ODWWLFH VHH )LJ UHVXOWV LQ WKH SURGXFWLRQ RI FRQFHQWULF GDUN FLUFOHV RQ D SKRWRJUDSKLF SODWH 7KH GLVWDQFH EHWZHHQ WKH FU\VWDOV DQG WKH SODWH LV P DQG WKH UDGLXV RI WKH VPDOOHVW FLUFOH LV P VHH )LJ . DQG &O LRQV KDYH DOPRVW WKH VDPH VL]H DQG WKH\ PD\ EH WUHDWHG DV LGHQWLFDO VFDWWHULQJ FHQWUHV G &DOFXODWH WKH GLVWDQFH EHWZHHQ WZR QHLJKERXULQJ . LRQV LQ WKH FU\VWDO 4XHVWLRQ (OHFWULF H[SHULPHQWV LQ WKH PDJQHWRVSKHUH RI WKH HDUWK ,Q 0D\ WKH VSDFHVKLS $WODQWLV ZLOO EH SODFHG LQ RUELW DURXQG WKH HDUWK :H VKDOO...
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This note was uploaded on 11/08/2011 for the course PHYS 0000 taught by Professor Na during the Spring '11 term at Rensselaer Polytechnic Institute.

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21st-IPhO21 - Figure 1 Diffraction of a parallel X-ray beam...

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