biodex ATOMLAB 500, Operation And Service Manual, Page: 179 / 212

Given: t = 32.5 hours, and T
1/2
= 6.007 hours;
t ÷ T
1/2
= 32.5 ÷ 6.007 = 5.410
Solving for N and R:
N = 5
R = 0.410.
To simplify the calculations, the above relation can be written as:
𝐴
!
= 𝐴
!
𝑒
! !"
= 𝐴
!
𝑒
! !" !
! !
!
! / !
𝐴
!
= 𝐴
!
𝑒
! !" ! ! ! !
= 𝐴
!
𝑒
! !" ! !
× 𝑒
! !" ! !
= 𝐴
!
× 𝑋
!
𝑁 × 𝑋
!
𝑅
𝑋
!
𝑁 = 𝑒
! !" ! !
= 𝑒
!" !
! !
= 2
! !
The following expression is used to generate the values in Table D.1:
𝑋
!
𝑅 = 𝑒
! !" ! !
The following expression is used to generate the Decay Factor Chart for values R from 0.001 to
0.999 for the above example:
𝑋
!
5 = 0 . 03125
𝑋
!
0 . 41 = 0 . 75262
𝐴
!
= 𝑋 𝐴
!
= 𝑋
!
𝑁 × 𝑋
!
𝑅 𝐴
!
= 0 . 03125 × 0 . 75262 43 𝑚𝐶𝑖
𝐴
!
= 1 . 01 𝑚𝐶𝑖