Atomic Structure & X-rays

Modern Physics · free study notes

Atomic Structure & X‑Rays

INSPIRE Scholarship – Physics
(Beginner‑friendly notes – no heavy jargon, short sentences, everyday analogies)


1. What is an atom?

Part of an atom Everyday analogy What it does
Nucleus (tiny centre) City centre Holds the mass, keeps the atom together
Protons Police officers Positive charge, number = atomic number (defines the element)
Neutrons Bystanders Neutral, give mass but no charge
Electrons Cars on roads Negative charge, move around the nucleus

Key idea:

  • The nucleus is very small but contains almost all the mass.
  • Electrons are far away and keep the atom’s shape.

2. Atomic “shells” (energy levels)

  • Electrons sit in layers around the nucleus.
  • Each layer has a maximum number of electrons (2, 8, 18, …).
  • When an electron jumps from a higher layer to a lower one, it releases a photon (light).
  • If it jumps the other way (higher → lower), it absorbs a photon.

3. What are X‑rays?

  • X‑rays are high‑energy photons—the light at the very short‑end of the spectrum.
  • Think of them like the ultraviolet but even more energetic.
  • They can penetrate many materials (hence the name “X‑ray” – they’re “unknown” to normal eyes).

How do we make X‑rays?

  1. Accelerate electrons to high speed (tens of keV).
  2. Let the fast electrons hit a metal target.
  3. The sudden stop (or “braking”) of electrons produces X‑ray photons.
    Analogy: A car colliding with a wall creates a burst of light and sound.

How do X‑rays travel?

  • They move in straight lines.
  • They can pass through some materials (plastic, wood) but are stopped by denser ones (bone, metal).

Why do we use X‑rays?

Use Why it works
Medical imaging (X‑ray machines) Bones absorb more, so they appear bright.
Material analysis Different elements absorb X‑rays differently.
Security scanners Can see hidden objects.

4. Tiny Example – Energy of an X‑ray photon

Question: What is the energy of an X‑ray photon with wavelength 0.1 nm?

Answer Steps:

  1. Speed of light (c) = 3 × 10⁸ m/s.
  2. Planck’s constant (h) = 6.63 × 10⁻³⁴ J·s.
  3. Energy (E = \dfrac{h,c}{\lambda}).

[ E = \frac{(6.63\times10^{-34},\text{J·s})(3\times10^{8},\text{m/s})} {0.1\times10^{-9},\text{m}} \approx 2.0\times10^{-15},\text{J} ]

  1. Convert to electron‑volts (eV) (1 eV = 1.6 × 10⁻¹⁹ J):

[ E \approx \frac{2.0\times10^{-15},\text{J}}{1.6\times10^{-19},\text{J/eV}} \approx 12{,}500,\text{eV} ; (12.5,\text{keV}) ]

Result: A 0.1 nm X‑ray photon carries about 12.5 keV of energy.


5. Summary

  • Atoms are tiny, with a heavy nucleus (protons + neutrons) and light electrons in shells.
  • Electrons jumping between shells release or absorb photons.
  • X‑rays are very energetic photons produced when fast electrons are stopped by metal.
  • X‑rays can go through many materials but are blocked by dense ones, which makes them useful for imaging and analysis.

Remember: Think of the nucleus as a city centre, electrons as cars on roads, and X‑rays as the bright flash you see when a car crashes into a wall.

Good luck with the INSPIRE Scholarship!

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