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THE EGS5 CODE SYSTEM

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(c) If 10.5 ≤ −C < 11.0 then x 0 = 1.8<br />

and x 1 = 4.0.<br />

(d) If 11.0 ≤ −C < 11.5 then x 0 = 1.9<br />

and x 1 = 4.0.<br />

(e) If 11.5 ≤ −C < 12.25 then x 0 = 2.0<br />

and x 1 = 4.0.<br />

(f) If 12.25 ≤ −C < 13.804 then x 0 = 2.0<br />

and x 1 = 5.0.<br />

(g) If −C ≥ 13.804 then x 0 = −0.326C − 2.5<br />

and x 1 = 5.0.<br />

6. a = [−C − (2ln 10)x 0 ]/(x 1 − x 0 ) 3 .<br />

The final stage in determining the density effect correction for gases is to scale the results in<br />

terms of the gas pressure since the tabulated values are all given for NTP (0 ◦ C, 760mm Hg). If the<br />

pressure correction factor is<br />

then<br />

and<br />

GASP = actual pressure/pressure at NTP<br />

C(GASP) = C(NTP) + ln(GASP)<br />

x 0 (GASP) = x 0 (NTP) − 1 2 log 10(GASP)<br />

x 1 (GASP) = x 1 (NTP) − 1 2 log 10(GASP) .<br />

PEGS routine SPINIT initializes the stopping power routines for a particular medium. Routine<br />

SPIONB, which is a function of Ĕ0, AE, and POSITR, evaluates Equation 2.257 for a positron if POSITR<br />

is true, and for a electron if POSITR is false.<br />

Note that limitations on the applicability of <strong>EGS5</strong> for simulating electron transport at low<br />

energies derive primarily from the breakdown of the Bethe-Bloch formula for the stopping power.<br />

The presence in Equation 2.257 of a term containing the logarithm of the ratio of the electron<br />

energy and the mean ionization energy implies that there must exist some energy (dependent on<br />

Z) at which the Bethe-Bloch expression will yield physically unrealistic negative values. In addition,<br />

Equation 2.257 was derived under approximations which are strictly valid for high energy particles,<br />

large energy losses and large recoil energies, so the accuracy of the Bethe-Bloch formula begins to<br />

wane at energies ranging from around 1 keV for low Z materials to several tens of keV for high Z<br />

materials.<br />

81

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