Isotopes and atomic mass
What isotopes are, how they are named, why relative atomic masses on the periodic table are not whole numbers, and how to calculate a weighted average from isotope abundances.
Look up chlorine on the periodic table and its mass is 35.45. But a chlorine atom can't contain 0.45 of a neutron. The answer is that there is no such thing as a "typical" chlorine atom: there are two kinds, and the table shows their average.
Same element, different mass
All atoms of an element have the same number of protons, but they don't all have the same number of neutrons. Atoms of the same element with different numbers of neutrons are called isotopes. Isotopes of an element have:
- the same atomic number (same protons, so the same element)
- the same number of electrons in a neutral atom, so they react in the same way chemically
- different mass numbers, so they have slightly different masses
- sometimes different stability: some isotopes are radioactive
Isotopes are named by their mass number: carbon-12, carbon-13 and carbon-14 all have 6 protons, but 6, 7 and 8 neutrons. Carbon-12 and carbon-13 are stable. Carbon-14 is radioactive, which is what makes radiocarbon dating possible (1F).
Hydrogen is the only element whose isotopes have their own names. "Heavy water", made with deuterium instead of ordinary hydrogen, is about 10% denser than ordinary water, so an ice cube made from it sinks.
Why the periodic table shows decimals
Most elements are a mixture of isotopes, and the mixture is almost the same wherever the element is found on Earth. The relative atomic mass on the periodic table is the weighted average mass of an element's atoms, taking into account how common each isotope is (its abundance).
Worked example: chlorine. Chlorine is 75.8% chlorine-35 and 24.2% chlorine-37. Imagine 100 chlorine atoms:
- 75.8 atoms × 35 = 2653
- 24.2 atoms × 37 = 895.4
- total mass = 3548.4, so the average = 3548.4 ÷ 100 = 35.48
The periodic table gives 35.45. The small difference is because the real masses of isotopes are not exactly whole numbers (chlorine-35 is actually 34.97 amu). Notice that the average is closer to 35 than to 37, because chlorine-35 is much more common. A weighted average always lies closer to the more abundant isotope.
Scientists measure isotope abundances with a mass spectrometer. It turns atoms into ions, speeds them up and sends them through a magnetic field. Lighter ions are bent more than heavier ones, so each isotope lands in a different place, and the height of each peak shows how common it is.
- Set chlorine to 50% of each isotope. Why is the average exactly halfway?
- Use the real values. Is the average closer to 35 or to 37? Why?
- For copper, find the slider setting that gives the periodic table value of 63.55.
- Bromine's mass is very close to 80, but there is no bromine-80. How can that be?
Isotopes as fingerprints
Because the ratio of isotopes can vary slightly with where and how something formed, isotopes act as natural fingerprints:
- Rain that falls in hot places contains slightly more of the heavy oxygen isotope oxygen-18 than rain in cold places. Ice cores from Antarctica record these ratios layer by layer, giving a record of past temperatures going back 800 000 years. Australian scientists drilling at Law Dome and elsewhere in Antarctica have contributed to this record.
- Food scientists can tell where honey, wine or beef came from by measuring hydrogen, oxygen and strontium isotopes, which helps catch food fraud.
- Police and customs use isotope ratios to trace the origin of illegal drugs and explosives.
Test yourself
Isotopes of an element have different numbers of
Same protons and electrons, different neutrons.
Carbon-14 and nitrogen-14 have the same
Both have 14 particles in the nucleus, but 6 and 7 protons, so they are different elements, not isotopes.
Boron is 20% boron-10 and 80% boron-11. Its relative atomic mass is about
(10 × 20 + 11 × 80) ÷ 100 = 10.8.
Copper's relative atomic mass is 63.55 and its isotopes are Cu-63 and Cu-65. Which is more common?
The average is closer to 63.
Name the isotopes of hydrogen.
Sort the properties.
Isotopes have the same number of protons but different numbers of . The periodic table gives a weighted of the isotopes' masses. How common an isotope is, is called its . Isotope abundances are measured with a mass .
Gallium has two isotopes: gallium-69 (60.1%) and gallium-71 (39.9%). Calculate the relative atomic mass of gallium, showing your working, and explain why it is not a whole number.
Relative atomic mass = (69 × 60.1 + 71 × 39.9) ÷ 100 = (4146.9 + 2832.9) ÷ 100 = 6979.8 ÷ 100 = 69.8. It is not a whole number because gallium is a mixture of two isotopes with different masses, and the value is their average weighted by how common each one is. (The periodic table value, 69.72, is slightly different because real isotope masses are not exact whole numbers.)
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