UPSC Combined Geo-Scientist, Mains · 2023 · Mains Paper III
Q1(f). K and L lines in XRF; wavelength-dispersive spectrum of Zn
Question
How do K and L X-ray peaks of an element originate in XRF method? Give a typical labelled wavelength dispersive XRF spectrum showing Kα and Kβ peaks of an element, e.g. Zn.
Answer in brief
Primary X-rays eject an inner-shell electron; an outer electron fills the vacancy and a characteristic X-ray is emitted: K lines for a K-shell vacancy (Kα from L, Kβ from M), L lines for an L-shell vacancy. Zn: Kα 1.435 Å, Kβ 1.295 Å.
Key points
- Primary X-rays above the absorption edge eject an inner-shell electron; an outer electron fills the vacancy and emits a characteristic (fluorescent) photon.
- K lines: Kα is L → K (2p → 1s), Kβ is M → K (3p → 1s); Kβ has higher energy and is weaker.
- L lines: vacancy in the L shell; used for heavy elements (Z above about 50) whose K lines are hard to excite.
- Zn (Z = 30): Kα 1.435 Å (8.64 keV), Kβ 1.295 Å (9.57 keV); K absorption edge 1.283 Å (9.66 keV).
- WDXRF: analysing crystal (nλ = 2d sin θ); with LiF(200), Zn Kβ at 2θ = 37.5°, Zn Kα at 2θ = 41.8°.
The full model answer
As written for the answer booklet: the diagram carries the working, the lines stay short. Read here only; it is not offered as a download.

CoversX-ray fluorescenceK linesL linesMoseley's lawwavelength-dispersive XRFzinc Kα
All parts of Question 1
- 1(a) Relative standard deviation of replicate results5 marks
- 1(b) HPLC against GLC; particle size of packed GLC columns5 marks
- 1(c) Sources of radiation for infrared spectrometry5 marks
- 1(d) Graphite-furnace AAS compared with flame AAS5 marks
- 1(e) Calibration of the temperature axis in thermogravimetry5 marks
- 1(f) K and L lines in XRF; wavelength-dispersive spectrum of Zn5 marks
- 1(g) Interference of calcium in the ICP–MS determination of iron5 marks
- 1(h) Type metal: constituents and non-destructive analysis5 marks