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Introduction to Health Physics: Fourth Edition - Ruang Baca FMIPA UB

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where<br />

EXTERNAL RADIATION SAFETY 533<br />

P = allowable air kerma rate, either 0.1 mGy/wk for a controlled area or<br />

0.02 mGy/wk for an uncontrolled area,<br />

T = occupancy fac<strong>to</strong>r (Table 10-1),<br />

dP = distance from X-ray tube <strong>to</strong> point of interest (usually 1 ft., or 0.3 m, from<br />

the barrier),<br />

K 1 P<br />

= unshielded primary air kerma per patient at a distance of 1 m,<br />

U = use fac<strong>to</strong>r = fraction of the time that the primary beam is directed <strong>to</strong>wards<br />

a given primary barrier, and<br />

N = number of patients per week.<br />

Using the kVp weighted values for the workload, and using three empirically determined<br />

parameters, mathematical models were fitted <strong>to</strong> the data obtained for each<br />

of the exposure modalities that had been investigated, and broad-beam transmission<br />

equations were determined for primary and secondary protective barriers. The<br />

thickness of the primary barrier is given by<br />

x = 1<br />

αγ ln<br />

⎡<br />

1 NTUKP ⎢ Pd<br />

⎢<br />

⎣<br />

2 P<br />

1 + β<br />

α<br />

γ<br />

+ β<br />

α<br />

⎤<br />

⎥ , (10.19)<br />

⎦<br />

where α, β, and γ are parameters that depend on the barrier material and on the<br />

operating potential of the X-ray tube, which is implicit in the imaging modality.<br />

NCRP Publication 147 lists the values for these parameters for lead, concrete, gypsum<br />

wallboard, steel, plate glass, and wood. Values for lead, concrete, and gypsum<br />

wallboard for the several modalities that had been studied are listed in Table 10-3.<br />

For calculating the thickness of a secondary barrier, the following empirical equation<br />

is used:<br />

x = 1<br />

αγ ln<br />

⎡<br />

1 NTKsec ⎢ Pd<br />

⎢<br />

⎣<br />

2 γ<br />

sec<br />

1 + β<br />

α<br />

+ β<br />

α<br />

⎤<br />

⎥ . (10.20)<br />

⎦<br />

The parameter values for secondary radiation are different from those for primary<br />

radiation because of the different X-ray energies of the secondary radiation. Table<br />

10-4 lists some of these values.<br />

Some of the physical fac<strong>to</strong>rs that determine the shielding requirements for protection<br />

from X-ray beams are shown in Figures 10-11, 10-12, and 10-13. A collimated<br />

X-ray beam of area F is directed at patient M (or object <strong>to</strong> be radiographed, in the<br />

case of nonmedical radiography) from the shielded X-ray tube. The beam passes<br />

through the patient and is attenuated <strong>to</strong> an acceptable level by the primary protective<br />

barrier before irradiating a person in area 1. The leakage radiation from<br />

the X-ray tube and the scattered radiations are attenuated <strong>to</strong> an acceptable level by

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