Earth and Environmental Science 11–12 · Year 11

The S-wave shadow zone: modelling why the outer core must be liquid

Module 1: Earth’s Resources

Practical, model not builtLow risk

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The idea

S waves cannot pass through liquid, so stations more than about 103 degrees from an earthquake record no direct S waves, which fixes the size and state of the outer core.

What you need

  • white paper with two concentric circles, one the diameter of a glass beaker (the outer core) and one twice that diameter (the surface), and a radius line from an epicentre (Earthlearningidea Shadowlands)
  • an empty 500 mL glass beaker, water, a phone torch
  • drawing compass, protractor, ruler
  • slinky spring for P and S wave motion

How to do it

  1. Show P (push) and S (side-to-side) pulses on the slinky; note that a liquid cannot carry the side-to-side pulse.
  2. Stand the empty beaker on the inner circle and shine the torch through it from the epicentre along the radius line; mark on the outer circle where the shadow falls.
  3. Add water to the beaker and mark the new pattern, which Earthlearningidea uses to model the P-wave shadow zone.
  4. Measure the angular distance from the epicentre to each shadow with the protractor and compare with the real Earth: no direct S waves beyond 103 degrees, and no direct P waves between 103 and 142 degrees.
  5. Run the ray-path model with a straight-ray mantle, then with velocity rising with depth, and read where the S shadow begins in each case; list why the beaker’s angles differ (light, glass, a core half the Earth’s radius, no inner core).

What you should see

In the straight-ray model the last ray that clears the core (radius 3480 km in a 6371 km Earth) reaches the surface at 2 × arccos(3480/6371) = 113.8 degrees; for the paper model’s core of half the Earth’s radius the same straight-line geometry gives 120 degrees, and refraction through the glass changes what the paper shows. The observed S shadow begins near 103 degrees (Earthlearningidea Shadowlands), earlier than the straight-ray value, because seismic velocity rises with depth and bends rays upward, so rays that reach the core leave the source more steeply; the model shows this shift when the velocity gradient is switched on. Beyond 103 degrees no direct S wave is recorded, which requires a liquid outer core.

What changes

This activity lists no variables to change, measure and keep the same.

Common misconceptions

Each of these ideas is wrong, and the activity is a chance to test it.

  • Earthquake waves travel along the surface only.
  • The whole core is liquid (the inner core is solid).

Safety card

Low riskLearners carry it out

Hazards

No hazard is listed.

Controls

No control is listed.

Note

No hazardous chemicals or heat sources: record the activity in the school's RiskAssess risk assessment, following the NSW Department of Education Science safety and compliance page; the Chemical Safety in Schools package is not triggered.

Curriculum references

The NSW syllabus outcomes and Australian Curriculum v9 codes this activity supports. They are references, not a verified or complete curriculum alignment.

  • Earth and Environmental Science Stage 6 Syllabus (2017), NESA; current, replaced by the 11–12 Syllabus (2025) from 2028EES11-8EES11/12-3EES11/12-4EES11/12-5
  • Earth and Environmental Science 11–12 Syllabus (2025), NESA; to be implemented from 2028, not yet taughtEES-11-01
  • Australian Curriculum v9No Australian Curriculum v9 code is listed.

Sources

The pages the author read to write this activity.

  1. www.nsw.gov.au/education-and-training/nesa/curriculum/science/earth-and-environmental-science-stage-6-2017
  2. www.earthlearningidea.com/PDF/423_Shadowlands.pdf
  3. www.earthlearningidea.com/PDF/76_Slinkies.pdf
  4. doi.org/10.1016/0031-9201(81)90046-7

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