A-level course · Lesson 7 of 12

Mass spectrometry and oxygen isotopes

Mass spectrometers measure isotope ratios to within about ten parts per million. Oxygen's three isotopes then sort meteorites into families and link them to their parent bodies.

In this lesson you will
  • Describe the stages of time-of-flight mass spectrometry.
  • Explain mass-dependent fractionation and the slope of about 0.52.
  • Calculate Δ¹⁷O and use it to identify a meteorite's parent body.

Links to: A-level chemistry, atomic structure: time-of-flight mass spectrometry and relative isotopic mass; maths: rearranging equations, gradients.

Time of flight

In a time-of-flight mass spectrometer, a sample is ionised, for example by electrospray or by electron impact, to form positive ions. The ions are accelerated by an electric field so that all ions of the same charge gain the same kinetic energy, ½mv² = zeV. They then drift through a field-free region. Lighter ions travel faster and reach the detector first; time of flight is proportional to √(m/z). The detector current gives each ion's abundance.

Isotope work on meteorites mostly uses magnetic-sector instruments, which separate ions by deflection rather than flight time, but the principle of measuring abundance by mass-to-charge ratio is the same.

Fractionation

Physical and chemical processes such as evaporation and crystallisation separate isotopes slightly by mass. Ratios are expressed in delta notation, the difference in parts per thousand (‰) from a standard, ocean water: δ¹⁸O = [(¹⁸O/¹⁶O)_sample ÷ (¹⁸O/¹⁶O)_standard − 1] × 1,000, and δ¹⁷O likewise.

Because ¹⁷O differs from ¹⁶O by one mass unit and ¹⁸O by two, mass-dependent processes change δ¹⁷O by about 0.52 times as much as δ¹⁸O. All Earth rocks therefore plot on a line of slope about 0.52, the terrestrial fractionation line.

Δ¹⁷O: the fingerprint

The deviation from that line, Δ¹⁷O = δ¹⁷O − 0.52 × δ¹⁸O, is unchanged by mass-dependent processes, so all rocks from a well-mixed parent body share the same Δ¹⁷O. Earth and the Moon have Δ¹⁷O close to 0‰. Martian meteorites have about +0.3‰, HED meteorites about −0.24‰, and the various chondrite groups each have their own range. CAIs and many carbonaceous chondrites plot far below the line, recording oxygen reservoirs that existed in the solar nebula before it was homogenised.

Worked example

Which parent body?

An achondrite has δ¹⁸O = +3.70‰ and δ¹⁷O = +1.70‰. Calculate Δ¹⁷O and suggest its parent body, given Earth/Moon ≈ 0.00‰, Mars ≈ +0.30‰ and HEDs ≈ −0.24‰.

  1. Δ¹⁷O = δ¹⁷O − 0.52 × δ¹⁸O.
  2. 0.52 × 3.70 = 1.924‰.
  3. Δ¹⁷O = 1.70 − 1.924 = −0.224 ≈ −0.22‰.

Answer: Δ¹⁷O ≈ −0.22‰, matching the HED meteorites, so the rock is probably from Vesta, consistent with a basaltic eucrite.

Activity

Ions of ¹⁶O⁺ take 12.0 μs to cross a time-of-flight tube. Using t ∝ √(m/z), calculate the flight times of ¹⁷O⁺ and ¹⁸O⁺. Then sketch a three-oxygen-isotope plot (δ¹⁷O against δ¹⁸O) showing the terrestrial fractionation line and where Mars and HED meteorites would lie.

Quiz

5 questions. Choose an answer to see whether you are right and why. Finish the quiz to complete the lesson.

  1. Question 1In time-of-flight mass spectrometry, which ions reach the detector first?

  2. Question 2Why do mass-dependent processes give a slope of about 0.52 on a three-oxygen-isotope plot?

  3. Question 3Why is Δ¹⁷O useful for linking meteorites to parent bodies?

  4. Question 4A rock has δ¹⁸O = 4.00‰ and δ¹⁷O = 2.38‰. What is Δ¹⁷O?

  5. Question 5What does the near-identical oxygen isotope composition of Earth and the Moon suggest?

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