1. 10 12 10 6 10 3 10 1 10 -1 10 -3 Long Wave IR Visible UV X-rays Gamma rays wavelength (nm) X-rays absorption

2. I/I o = e -µ* x = 1/ e µ* x = 1/ e µ  x µ* = linear attenuation coefficient µ = mass attenuation coefficient  = density of absorber I/I o = e -µ* x = 1/ e µ* x = 1/ e µ  x µ* = linear attenuation coefficient µ = mass attenuation coefficient  = density of absorber IoIo IoIo I I X-rays x x Absorption

3. µ - values for elements listed in various texts & International Tables for Crystallography Note that µ changes with X-ray wavelength Higher atomic no. ––> larger µ, in general Note that µ changes with X-ray wavelength Higher atomic no. ––> larger µ, in general Absorption

4. What element used for X-ray tube windows? Absorption What element used for protection from X-rays?

5. I/I o = e -µ* x = 1/ e µ* x = 1/ e µ  x For compounds & mixtures, calculate µ from I/I o = e -µ* x = 1/ e µ* x = 1/ e µ  x For compounds & mixtures, calculate µ from µ compd or mixture =  (wt. fraction) element x µ element IoIo IoIo I I X-rays x x Absorption

6. I/I o = e -µ* x = 1/ e µ* x = 1/ e µ  x µ NaCl = (wt. fraction) Na x µ Na + (wt. fraction) Cl x µ Cl µ NaCl = 0.393 x 30.1 + 106 x.607 = 76.2 µ NaCl = (wt. fraction) Na x µ Na + (wt. fraction) Cl x µ Cl µ NaCl = 0.393 x 30.1 + 106 x.607 = 76.2 IoIo IoIo I I X-rays x x Example for NaCl (Cu K   : (wt. fraction) Na = 23/58.5 = 0.393, (wt. fraction) Cl = 0.607 µ Na = 30.1 µ Cl = 106 Example for NaCl (Cu K   : (wt. fraction) Na = 23/58.5 = 0.393, (wt. fraction) Cl = 0.607 µ Na = 30.1 µ Cl = 106 Absorption

7. Mass attenuation coefficient for an element changes with X-ray wavelength (energy) like this: Mass attenuation coefficient for an element changes with X-ray wavelength (energy) like this: mass attenuation coefficient Kedge Good news/bad news Absorption

8. Bad news Absorbed energy re-emitted as fluorescent X-rays Bad news Absorbed energy re-emitted as fluorescent X-rays Absorption mass attenuation coefficient Kedge Suppose: absorption for element in specimen X-ray wavelength used for diffraction Then: Absorption high Lots of fluorescence Then: Absorption high Lots of fluorescence

9. Bad news Absorption X-rays detector specimen X-ray fluorescence radiation emitted at all angles 22 22 22 I instead of this: 22 I get this:

10. Good news -  -filters Absorption  -filter materials have atomic nos. 1 or 2 less than anode 50-60% beam attenuation  -filter materials have atomic nos. 1 or 2 less than anode 50-60% beam attenuation

11. Good news -  -filters Absorption X-rays detector filter specimen placing after specimen/before detector filters most of specimen fluorescence placing after specimen/before detector filters most of specimen fluorescence