Understanding the Bragg's equation
{"Image DocumentName": "Understanding the Bragg\u2019s equation", "Image ImageDescription": "n\uf06c = 2d Sin\uf071 The equation is written better with some descriptive subscripts: n is an integer and is the order of the reflection (i.e. how many wavelengths of the X-ray go on to make the path difference between planes). Note: if hkl reflection (corresponding to n=1) occurs at \uf071hkl then 2h 2k 2l reflection (n=2) will occur at a higher angle \uf0712h 2k 2l. Bragg\u2019s equation is a negative statement \uf0d8 If Bragg\u2019s eq. is NOT satisfied \uf0ae NO \u2018reflection\u2019 can occur \uf0d8 If Bragg\u2019s eq. is satisfied \uf0ae \u2018reflection\u2019 MAY occur (How?- we shall see this a little later). The interplanar spacing appears in the Bragg\u2019s equation, but not the interatomic spacing \u2018a\u2019 along the plane (which had forced \uf071incident = \uf071scattered); but we are not free to move the atoms along the plane \u2018randomly\u2019 \uf0ae click here to know more. \uf0d8 For large interplanar spacing the angle of reflection tends towards zero \u2192 as d increases, Sin\uf071 decreases (and so does \uf071). \uf0d8 The smallest interplanar spacing from which Bragg diffraction can be obtained is \uf06c/2 \u2192 maximum value of \uf071 is 90\uf0b0, Sin\uf071 is 1 \uf0de from Bragg equation d = \uf06c/2. If this equation is satisfied, then \uf071 is \uf071Bragg. Note: \u04c1.", "Image XResolution": "37", "Image YResolution": "37", "Image ResolutionUnit": "Pixels/Centimeter", "Image Software": "SlidePlayer", "Image YCbCrPositioning": "Centered"}