INTERACTION OF X-RAYS

RATIONALE:

X-ray interaction processes are very important subjects to study to gain a full understanding of the mechanisms that lead to X-ray attenuation. Subjects such as effective atomic number, Absorption edges, the relative importance of Compton and photoelectric attenuation, secondary electrons, properties of x- and gamma rays, and attenuation of x-rays by the patient conductor, which will require a deep comprehension of radiation.

1. Core Idea (Foundation)

X-ray photons interact with matter (especially the human body) in three possible ways:

  1. Transmission โ€“ passes through (forms image)

  2. Absorption โ€“ fully absorbed (adds dose)

  3. Scattering โ€“ deflected with reduced energy (degrades image + increases exposure)

๐Ÿ‘‰ These interactions are random (stochastic) but predictable in large numbers.


2. Two MOST IMPORTANT INTERACTIONS (Boardsโ€™ focus)

โšก A. Compton Scattering

  • A photon interacts with a loosely bound (outer shell) electron

  • Only partial energy transfer

  • Results in:

    • Recoil electron (kinetic energy)

    • Scattered photon (lower energy, new direction)

๐Ÿ’ก Key Points:

  • Causes image fog โ†’ โ†“ contrast

  • Main source of radiation exposure to staff

  • Happens in ALL materials (independent of Z)

  • Depends mainly on density

๐Ÿ“Œ Behavior:

  • โ†‘ Photon energy โ†’ more forward scatter

  • Large angle (โ‰ˆ180ยฐ) โ†’ low energy photon

  • Small angle โ†’ high energy photon


โšก B. Photoelectric Effect

  • A photon interacts with a tightly bound (inner shell) electron

  • ALL energy is absorbed

  • Electron is ejected = photoelectron

๐Ÿ’ก Key Points:

  • Responsible for image contrast

  • Contributes to patient dose

  • Depends heavily on:

    • Atomic number (Zยณ)

    • Energy (1/Eยณ)

๐Ÿ“Œ Formula Concept:

  • KE = Photon energy โˆ’ Binding energy

๐Ÿ“Œ Special Feature:

  • Produces characteristic radiation

  • Can cause fluorescence


3. Comparison (VERY IMPORTANT)

Feature

Photoelectric

Compton

Energy transfer

Complete

Partial

Image quality

โ†‘ Contrast

โ†“ Contrast

Depends on Z

YES (Zยณ)

NO

Depends on density

YES

YES

Dominates at

Low energy

High energy

Radiation hazard

Patient

Staff


4. Attenuation (BIG CONCEPT)

๐Ÿ’ก Definition:

Reduction of X-ray intensity due to:

  • Absorption

  • Scattering

๐Ÿ“Œ Exponential Law:

Ix=I0eโˆ’ฮผxI_x = I_0 e^{-\mu x}Ixโ€‹=I0โ€‹eโˆ’ฮผx

Where:

  • I0I_0I0โ€‹ = initial intensity

  • IxI_xIxโ€‹ = transmitted intensity

  • ฮผ\muฮผ = linear attenuation coefficient

  • xxx = thickness

๐Ÿ‘‰ Meaning: Intensity decreases exponentially as it passes through matter.

5. Factors Affecting Attenuation

  1. Atomic Number (Z)
    โ†’ Higher Z = more absorption
    โ†’ โˆ Zยณ

  2. Density (ฯ)
    โ†’ More dense = more interactions

  3. Thickness (x)
    โ†’ Thicker = more attenuation

  4. Photon Energy (E)
    โ†’ Higher energy = more penetration (โ†“ attenuation)


6. Linear Attenuation Coefficient (ฮผ)

  • Probability of interaction per unit length

  • Units: cmโปยน

๐Ÿ‘‰ High ฮผ = strong absorber (e.g., lead)
๐Ÿ‘‰ Low ฮผ = weak absorber (e.g., air)


7. Half-Value Layer (HVL)

๐Ÿ’ก Definition:

Thickness needed to reduce intensity by 50%

HVL=0.693ฮผHVL = \frac{0.693}{\mu}HVL=ฮผ0.693โ€‹

๐Ÿ“Œ Meaning:

  • Large HVL โ†’ more penetrating beam

  • Small HVL โ†’ easily absorbed


8. Photoelectric vs Compton Dominance

  • Low energy + high Z โ†’ Photoelectric dominates

  • High energy + low Z โ†’ Compton dominates

๐Ÿ‘‰ In the body:

  • Soft tissue โ†’ Compton

  • Bone โ†’ both

  • Contrast media (iodine, barium) โ†’ Photoelectric


9. Effective Atomic Number (Zeff)

Used for:

  • Compounds (tissue, water)

๐Ÿ‘‰ Helps predict:

  • Interaction probability

  • Image contrast

10. Secondary Electrons

Produced from:

  • Photoelectric effect โ†’ photoelectrons

  • Compton effect โ†’ recoil electrons

๐Ÿ‘‰ These causes:

  • Ionization

  • Biological damage


11. Electron Interactions

  • Electrons lose energy via:

    • Ionization

    • Excitation

๐Ÿ‘‰ Most radiation damage comes from:
โžก Electrons, not photons


12. Electron Range

  • Distance traveled before stopping

  • Depends on:

    • Energy (โ†‘ energy = โ†‘ range)

    • Density (โ†‘ density = โ†“ range)

๐Ÿ‘‰ In tissue: very short (mm range)


13. Linear Energy Transfer (LET)

  • Energy deposited per distance

๐Ÿ‘‰ High LET:

  • More biological damage

๐Ÿ‘‰ Low LET:

  • Less concentrated damage


14. Filtration (VERY CLINICAL)

๐Ÿ’ก Purpose:

Remove low-energy photons

๐Ÿ‘‰ Why?

  • They increase the dose

  • But donโ€™t improve the image

๐Ÿ“Œ Result:

  • โ†“ Patient dose

  • โ†‘ Beam quality (harder beam)


15. Effects of Filtration

  • โ†‘ Penetration (โ†‘ HVL)

  • โ†“ Intensity

  • Removes useless radiation

  • Improves safety


๐Ÿงฉ Big Picture (Clinical Insight)

  • Image formation = balance of
    ๐Ÿ‘‰ Photoelectric (contrast)
    ๐Ÿ‘‰ Compton (noise)

  • Radiation safety = control
    ๐Ÿ‘‰ Scatter
    ๐Ÿ‘‰ Filtration
    ๐Ÿ‘‰ Exposure factors


๐Ÿง  Memory Trick (Quick Recall)

๐Ÿ‘‰ โ€œPE = Picture Enhancerโ€ (contrast)
๐Ÿ‘‰ โ€œCS = Contrast Spoilerโ€ (scatter)