2. Objectives & learning outcome
Be the end of this lecture student will be able to:
1. Explain the definition of radioactivity, physical
half-life and decay process
Do all the calculations of half-lives and activity
measurements
Identify the differences between Alpha, Beta &
gamma radiation in term of the type of radiation
and penetration power.
Explain the principle of radiation detection and
use the specific unit of radiation measurements.
2 2nd lecture RAD 311
3. History of Radiopharmacy
Medicinal applications since the discovery of
Radioactivity
Early 1900’s
Limited understanding of Radioactivity and
dose
3 2nd lecture RAD 311
4. 1912 — George de Hevesy
Father of the “radiotracer”
experiment.
Used a lead (Pb) radioisotope to prove
the recycling of meat by his landlady.
Received the Nobel Prize in chemistry
in 1943 for his concept of
“radiotracers”
4 2nd lecture RAD 311
5. Early use of radiotracers in medicine
1926: Hermann Blumgart, MD injected 1-6 mCi of
“Radium C” to monitor blood flow (1st clinical use of
a radiotracer)
1937: John Lawrence, MD used phosphorus-32 (P-
32) to treat leukemia (1st use of artificial radioactivity
to treat patients)
1937: Technetium discovered by E. Segre and C.
Perrier
5 2nd lecture RAD 311
6. Early Uses continued
1939: Joe Hamilton, MD used radioiodine (I-131) for
diagnosis
1939: Charles Pecher, MD used strontium-89 (Sr-89) for
treatment of bone metastases.
1946: Samuel Seidlin, MD used I-131 to completely cure
all metastases associated with thyroid cancer. This was the
first and remains the only true “magic bullet”.
1960: Powell Richards developed the Mo-99/Tc-99m
generator
1963: Paul Harper, MD injected Tc-99m pertechnetate for
human brain tumor imaging
6 2nd lecture RAD 311
7. What is a radiopharmaceutical?
A radioactive compound used for the
diagnosis and therapeutic treatment of
human diseases.
Radionuclide + Pharmaceutical
Part 1: Characteristics of a
Radiopharmaceutical
7 2nd lecture RAD 311
8. Radioactive Materials
Unstable nuclides
Combination of neutron and protons
Emits particles and energy to become a
more stable isotope
N →
↑
Z
Chart of the Nuclides
8 2nd lecture RAD 311
9. Radiation decay emissions
Alpha (a or 4He2+)
Beta (b- or e-)
Positron (b+)
Gamma (g)
Neutrons (n)
9
2nd lecture RAD 311
10. Radioactivity
In 1896 Henri Becquerel -> find that the photographic plate had
been darkened in the part nearest to uranium compounds. He
called this phenomenon radioactivity.
Radioactivity (radioactive decay) is the spontaneous break up
(decay) of atoms.
Marie Curie (student of Becquerel) examined the radioactivity
of uranium compound and she discovered that:
1. All uranium compounds are radioactive
2. Impure uranium sulphide contains two other elements which
are more radioactive
than uranium.
3. Marie named these elements radium & polonium.
4. Radium is about two million times more radioactive than
uranium.
10
2nd lecture RAD 311
11. Electromagnetic Radiation
X-ray and g-rays
Same properties, differ in origin
X-rays – electronic transitions
g-rays – nuclear decay
X rays occur when an excited electron emits a photon
as it relaxes
g- rays occur when an excited nucleus emits a photon
as it relaxes
11 2nd lecture RAD 311
12. Alpha, Beta & gamma radiation
When the radioactive atoms break up, they
release energy and lose three kinds of
radiation (Alpha, Beta & gamma radiation).
Alpha & Beta are particles where as gamma-rays are
electromagnetic wave with the greatest penetrating
power.
12
2nd lecture RAD 311
13. Interactions of Emissions
Alpha (a or 4He)
High energy over short linear
range
Charged 2+
Beta (b- or e-)
Various energy, random
motion
negative
Gamma (g)
No mass, hv
Positron (b+)
Energy >1022 MeV, random
motion
Anihilation (2 511 MeV ~180°)
Negative
Neutrons (n)
No charge, light elements
13 2nd lecture RAD 311
14. 14
Definition: A = dN / dt = l x N
where N is the number of radioactive atoms
present at time t, dN the expectation value of the
number of nuclear transitions in time interval dt,
and l the physical transformation constant (decay
constant).
Activity, A
2nd lecture RAD 311
15. Half Life and Activity
Radioactive decay
is a statistical
phenomenon
t1/2
l= decay constant
Activity
The amount of
radioactive material
15
2nd lecture RAD 311
16. Measured Activity
In practicality, activity (A)
is used instead of the
number of atoms (N).
A=AOe-lt
Units
Curie
3.7 Exp10 decay/s
1 g Ra
Becquerel
1 decay/s
17. Half Life and decay constant
Half-life is time needed to decrease
nuclides by 50%
Relationship between t1/2 and l
N/No=1/2=e-lt
ln(1/2)=-lt1/2
ln 2= lt1/2
t1/2=(ln 2)/l
17 2nd lecture RAD 311
18. Equations
Nt=Noe-lt
N=number of nuclei, l= decay constant,
t=time
Also works for A (activity) or C
(counts)
At=Aoe-lt, Ct=Coe-lt
18 2nd lecture RAD 311
19. Applications in Nuclear
Medicine
Imaging
Gamma or positron emitting isotopes
99mTc, 111In, 18F, 11C, 64Cu
Visualization of a biological process
Cancer, myocardial perfusion agents
Therapy
Particle emitters
Alpha, beta, conversion/auger
electrons
188Re, 166Ho, 89Sr, 90Y, 212Bi, 225Ac, 131I
Treatment of disease
Cancer, restenosis, hyperthyroidism
19
2nd lecture RAD 311
20. Ideal Nuclear Properties for
Imagining Agents
Reasonable energy emissions.
Radiation must be able to penetrate several layers
of tissue.
No particle emission (Gamma only)
Isomeric transition, positron (b+), electron capture
High abundance or “Yield”
Effective half life
Cost
20 2nd lecture RAD 311
21. Ideal Characteristics of a
Radiopharmaceutical
Nuclear Properties
Wide Availability
Effective Half life (Radio and biological)
High target to non target ratio
Simple preparation
Biological stability
Cost
21 2nd lecture RAD 311
24. Basic decay equations
The radioactive process is a subatomic change within the
atom
The probability of disintegration of a particular atom of a
radioactive element in a specific time interval is independent
of its past history and present circumstances
The probability of disintegration depends only on the length
of the time interval.
Probability of decay: p=lDt
Probability of not decaying: 1-p=1- lDt
24 2nd lecture RAD 311
25. Units of Radioactivity
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25
Curie (Ci) = 2.22 E12 disintegration per minutes
(dpm) or 3.7Exp10 disintegration per seconds
(dps).
Becquerel (Bq) = 1 dps.
Maximum Dose/year = 5 REM or 50 mSv.
Maximum Dose/year for Declared Pregnant
Woman & Minors= 0.5 REM or 5 mSv.
26. Standard International Radiation
Protection Units
2nd lecture RAD 311
26
Becquerel (Bq) for Curie
1 Ci = 3.7 x 1010 Bq
Gray (Gy) for rad
1 Gy = 100 rad
Sievert (Sv) for rem
1 Sv = 100 rem
27. Unit Analysis
2nd lecture RAD 311
27
BASE UNIT CONVERSION TABLE
Unit Unit Conversion
1 Bq 2.7 x 10-11 Ci
1 Ci 3.7 x 1010 Bq
1 Bq 1 dis/sec
1 dis/sec 2.7 x 10-11 Ci
1 Ci 3.7 x 1010 dis/sec
28. Unit Analysis (Con’t.)
2nd lecture RAD 311
28
BASE UNIT CONVERSION TABLE
Unit Unit Conversion
1 rem 0.01 Sv
1 Sv 100 rem
1 rad 0.01 Gy
1 Gy 100 rad
1 R 2.58 x 10-4 C/kg
1 meter 3.28 ft (39.37in)
29. Radiation Dose Units
Exposure:
Roentgens (R) or Coulomb/Kg
A measure of the number of ion pairs created in a certain mass
Absorbed Dose:
Rad (100 energy/g) of Gray (J/Kg)
A measure of the energy deposited into the mass of irradiation
Effective Dose:
Rem or Sievert (Sv)
Represents the dose that the total body could receive (uniformly) that
would give the same cancer risk as various organs getting different
doses.
29 2nd lecture RAD 311
35. INSTRUMENTATION IN NUCLEAR
MEDICINE
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35
Non imaging equipment:
•Activity meter
• Sample counters
• Single- and multi-probe systems
Imaging equipments:
• Gamma camera
• Single Photon Emission Computed
• Tomograph (SPECT)
• Positron camera (PET)
36. Summary
36
• The radioactive decay law in equation form;
• Radioactivity is the number of radioactive decays per unit time;
• The decay constant is defined as the fraction of the initial number
of radioactive nuclei which decay in unit time;
• Half Life: The time taken for the number of radioactive nuclei in the
sample to reduce by a factor of two;
• Half Life = (0.693)/(Decay Constant);
• The SI Unit of radioactivity is the becquerel (Bq)
1 Bq = one radioactive decay per second;
• The traditional unit of radioactivity is the curie (Ci);
1 Ci = 3.7 x 1010 radioactive decays per second
2nd lecture RAD 311
37. Summary of Units
Quantity Name SI Unit Old Unit
activity becquerel (Bq) s
-1
curie (Ci)
(1 Bq = 2.7 x 10
-11
Ci)
specific
activity
__ Bq.m
-3
,
Bq.kg
-1
Ci.m
-3
, Ci.kg
-1
exposure __ C.kg
-1
roentgen (R)
(1 R = 2.58 10
-4
C.kg
-1)
absorbed
dose
gray (Gy) J.kg
-1
rad (rad)
(1 Gy = 100 rad)
equivalent
dose
sievert (Sv) J.kg
-1
__
effective
dose
sievert (Sv) J.kg
-1
rem (rem)
(1 Sv = 100 rem)
2nd lecture
39. Q1:Half-life calculation
Using Nt=Noe-lt
For an isotope the initial count rate was 890 Bq.
After 180 minutes the count rate was found to be
750 Bq.What is the half-life of the isotope?
39 2nd lecture RAD 311
40. Q2: Half-life calculation
A=lN
A 0.150 g sample of 248Cm has a alpha activity of 0.636
mCi.What is the half-life of 248Cm?
40 2nd lecture RAD 311