Kinematic diffraction is an approximation for diffraction of waves. It assumes that the waves are only scattered once, neglecting multiple scattering . For linear wave equations , it involves summing the contribution of the partial waves emanating from different scatterers, where only the incident field drives the scattering. As a consequence, the far-field amplitude essentially corresponds to the Fourier transform of the scattering length density, which would be the charge density for x-rays[ 1] and the electrostatic potential for electrons.[ 2] It is typically understood as the Born approximation applied to a number of scatterers, and as such is often used for X-ray crystallography .[ 3] The corresponding full theory is called the dynamical theory of diffraction . For x-rays[ 4] and in electron diffraction different approaches are used to calculating the dynamical diffraction for transmission with high-energy electrons[ 5] [ 6] as well as for low energy electron diffraction [ 7] or reflection high-energy electron diffraction [ 8]
References
^ Als-Nielsen, Jens; McMorrow, Des (2011). Elements of Modern X‐ray Physics . John Wiley & Sons, Ltd. doi :10.1002/9781119998365 . ISBN 9781119998365 .
^ Cowley, J. M. (1995). Diffraction physics . North-Holland personal library (3rd ed.). Amsterdam ; New York: Elsevier Science B.V. ISBN 978-0-444-82218-5 .
^ Cullity, B. D. (2001). Elements of x-ray diffraction . Prentice Hall . ISBN 0-201-61091-4 .
^ Authier, Andre (2003-11-06). "Elementary dynamical theory". Dynamical Theory of X-Ray Diffraction . Oxford University PressOxford. pp. 68– 112. ISBN 0-19-852892-2 . Retrieved 2025-01-19 .
^ Humphreys, C J (1979-11-01). "The scattering of fast electrons by crystals". Reports on Progress in Physics . 42 (11): 1825– 1887. doi :10.1088/0034-4885/42/11/002 . ISSN 0034-4885 .
^ Peng, L -M; Dudarev, S L; Whelan, M J (2004-01-08), "Dynamical Theory Ii. Transmission High-Energy Electron Diffraction" , High-Energy Electron Diffraction And Microscopy , Oxford University PressOxford, pp. 75– 116, ISBN 978-0-19-850074-2 , retrieved 2025-01-19
^ J B Pendry (1971-11-18). "Ion core scattering and low energy electron diffraction. I" . Journal of Physics C: Solid State Physics . 4 (16): 2501– 2513. doi :10.1088/0022-3719/4/16/015 . ISSN 0022-3719 .
^ Maksym, P.A.; Beeby, J.L. (1981). "A theory of rheed" . Surface Science . 110 (2): 423– 438. doi :10.1016/0039-6028(81)90649-X .