Abstract
IN a recent paper, B. E. Warren1 has developed a mathematical treatment of the diffraction of X-rays from random layer-lattices and has derived the Laue2 expression for the asymmetrical shape of a cross-grating spectrum line which such a lattice produces. He has also shown that when the dimensions of the cross-lattice are small, they can be computed from the formula where β is the line broadening in radians, λ the wavelength of X-rays, ɛ the dimension of the cross-lattice, and θ the Bragg angle. This means that the particle size so calculated is approximately double the size obtained from the well-known Scherrer equation where c has a value of the order of unity3.
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References
Warren, B. E., Phys. Rev., 59, 693 (1941).
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Scherrer, P., "Kolloidchemie", third edition, 387 (Zsigmondy, 1920). Jones, F. W., Proc. Roy. Soc., A, 166, 16 (1938). Patterson, A. L., Phys. Rev., 56, 972, 978 (1939). Taylor, A., Phil. Mag., 31, 339 (1941).
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Schoon, T., Angew. Chem., 51, 608 (1938).
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TAYLOR, A. Interatomic Distances in Carbon. Nature 150, 462–463 (1942). https://doi.org/10.1038/150462a0
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DOI: https://doi.org/10.1038/150462a0
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