Physica

02 Imaging

Air kerma inverse square

Air kerma at a new distance from a measured value.

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Simulation

Air kerma inverse square — Change the numbers; the scene follows.

Where it works

Radiography room

Radiography room

X-ray tube

At the focal spot in the tube housing — spectrum, output, SID geometry, and unsharpness start here.

Open this machine

Formula

K2=K1(d1/d2)2K_2 = K_1(d_1/d_2)^2

Variables

Results

  • K₂

    New air kerma

    3.5556mGy

  • K₂/K₁

    Ratio

    1.7778

Explanation

K2=K1(d1/d2)2K_2 = K_1(d_1/d_2)^2

What it means

In air, kerma follows inverse square from a point focal spot (plus a small extrafocal component). Use it to move a measured air-kerma value from the chamber position to the skin or to another SID. This is a working relation in Diagnostic imaging.

Where it is used

Clinically it sits on the Radiography room — X-ray tube. At the focal spot in the tube housing — spectrum, output, SID geometry, and unsharpness start here. Diagnostic equations live on the tube, the detector, and the patient: magnification, air kerma, CTDI, and why bone lights up at 70 kV. They turn a technique chart into physics you can defend.

Radiography room · Open this machine

How to use it

K₂ = K₁ (d₁/d₂)². Example: 2 mGy at 100 cm → 3.56 mGy at 75 cm. Then multiply by BSF if you need entrance surface dose. Change one input and watch the curve and the simulation follow.

Symbols

  • K₁Measured air kerma2 mGy
  • d₁Measurement distance100 cm
  • d₂New distance75 cm

Worked example

A typical case from the default values: K₁ = 2 mGy (Measured air kerma); d₁ = 100 cm (Measurement distance); d₂ = 75 cm (New distance). Substituting into the relation gives K₂ = 3.5556 mGy; K₂/K₁ = 1.7778. These are teaching numbers — align them with your machine.

Typical values give

  • K₂ = 3.5556mGy
  • K₂/K₁ = 1.7778

Where it comes from

The displayed formula is the working relation. Air kerma at a new distance from a measured value. Usual reference: IAEA TRS-457. Derive it in the specialty lesson, then return here to pin the numbers.

Reference: IAEA TRS-457

Assumptions & limits

Air only. Attenuation of the patient, table, or compression paddle is extra. Heel effect makes the field non-uniform.

Pitfalls

kVp is not the same as effective energy. CTDI is not patient dose — SSDE and organ dose come after. Do not quote DLP as if it were effective dose without a k-factor. Air only. Attenuation of the patient, table, or compression paddle is extra. Heel effect makes the field non-uniform.

Keep this

Technique is physics: kV sets contrast, mAs sets noise, filtration sets the spectrum. Air only. Attenuation of the patient, table, or compression paddle is extra. Heel effect makes the field non-uniform.

In this specialty

Diagnostic imaging