The use of the letters K and L to denote X-rays originates in a 1911 paper by Charles Glover Barkla, titled The Spectra of the Fluorescent Röntgen Radiations1 ("Röntgen radiation" is an archaic name for "X-rays"). By 1913, Henry Moseley had clearly differentiated two types of X-ray lines for each element, naming them α and β.2 In 1914, as part of his thesis, Ivar Malmer (sv:Ivar Malmer), a student of Manne Siegbahn, discovered that the α and β lines were not single lines, but doublets. In 1916, Siegbahn published this result in the journal Nature, using what would come to be known as the Siegbahn notation.3
The table below shows a few transitions and their initial and final levels.
Barkla, Charles G (1911). "The Spectra of the Fluorescent Röntgen Radiations". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 22 (129): 396–412. doi:10.1080/14786440908637137. https://zenodo.org/record/1430862 ↩
Henry Moseley (1913). "The high-frequency spectra of the elements". The London, Edinburgh, and Dublin Philosophical Magazine and Journal of Science. 26 (156): 1024–1034. doi:10.1080/14786441308635052. https://zenodo.org/record/1430926 ↩
MANNE SIEGBAHN (17 Feb 1916). "Relations between the K and L Series of the High-Frequency Spectra". Nature. 96 (2416): 676. Bibcode:1916Natur..96R.676S. doi:10.1038/096676b0. S2CID 36078913. https://zenodo.org/record/2381409 ↩