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UPSC Combined Geo-Scientist

Chemist

  • 3 descriptive papers
  • 200 marks each
  • 3 h per paper

Mains Paper III covers analytical and organic chemistry.

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.

Model answer to Q1(f), 2023 Mains Paper III: solution pages 7 and 8
Solution pages 7 and 8 of 40

CoversX-ray fluorescenceK linesL linesMoseley's lawwavelength-dispersive XRFzinc Kα