recall that a tracer that decays by β+ decay is used in positron emission tomography (PET scanning)

Production and Use of X‑rays

How X‑rays are Made

Think of an X‑ray tube as a tiny flashlight that shoots out high‑energy electrons. The process is:

  1. Electrons are released from a heated cathode (like a tiny spark plug).

  2. They are accelerated by a high voltage (up to 150 kV) toward a metal anode (often tungsten).

  3. When the fast electrons slam into the anode, they suddenly slow down, releasing energy as X‑ray photons (similar to a light bulb flickering).

The energy of the X‑ray photon is given by the equation \$E = eV\$, where \$V\$ is the accelerating voltage.

Why X‑rays are Useful

Because X‑rays can pass through soft tissues but are absorbed by denser structures, they give a clear picture of bones and organs. It’s like looking through a translucent window that shows the hidden skeleton inside.

X‑rays in Medicine

  • Dental panoramic scans.

  • Chest X‑rays to check lungs.

  • CT scans that combine many X‑ray images.

Positron Emission Tomography (PET)

In PET, a radioactive tracer that decays by \$\beta^+\$ (positron) emission is injected into the body. When the positron meets an electron, they annihilate, producing two 511 keV X‑ray photons that travel in opposite directions. PET scanners detect these photons to create a 3‑D image of metabolic activity.

🔬 Analogy: Imagine a flashlight that emits a pair of twin beams; when the beams hit each other, they create a bright flash that the scanner records.

Common PET Tracers (Isotopes)

IsotopeHalf‑lifeCommon Use
\$^{18}\mathrm{F}\$110 min\$^{18}\mathrm{F}\$‑FDG for cancer imaging
\$^{11}\mathrm{C}\$20 minBrain metabolism studies
\$^{13}\mathrm{N}\$10 minHeart blood flow
\$^{15}\mathrm{O}\$2 minBrain oxygenation

Exam Tip: Remember the Key Point

When answering questions about PET, highlight that the tracer must undergo \$\beta^+\$ decay to emit a positron, which then annihilates with an electron to produce two 511 keV X‑ray photons detected by the scanner. This chain of events is the core of PET imaging.

📝 Tip: Write the sequence as a short diagram: Tracer → β⁺ decay → Positron + Electron → Annihilation → 2 × 511 keV X‑rays → PET detector.

Quick Quiz

Which of the following isotopes is NOT typically used in PET scans?

  • A. \$^{18}\mathrm{F}\$

  • B. \$^{11}\mathrm{C}\$

  • C. \$^{131}\mathrm{I}\$

  • D. \$^{15}\mathrm{O}\$

Answer: C. \$^{131}\mathrm{I}\$ (used in radio‑iodine therapy, not PET).