Key Facts + Eq Flashcards
What is the formula for beam flatness?
Note Max Intensity (Max) and Min (Min) intensity over the inner 80% of the field at 10 cm depth.
Then, F = (Max-Min)/(Max+Min)*100
What is the formula for MU calculation using SSD setup for a square field?
MU = Dose/(K × PDD × Sc × Sp × OAF × TF)
- K = Output Factor
- PDD= Percentage depth dose (for eqsq on the phantom/patient (after MLC collimation))
- Sc = Head scatter correction (for eqsq for collimator setting (before MLC collimation))
- Sp = Phantom scatter correction (for eqsq on the phantom/patient (after MLC collimation))
- OAF = Off-axis factors
- TF= Transmission factors
What’s the TMR for a 10x10 cm2 6 MV photon beam at 10 cm?
0.784
What’s the PDD for a 10x10 cm2 6MV photon beam at 10 cm?
~68%
What’s the average energy of Co-60?
1.25 MeV
What’s the formula for inverse square factor?
ISF = [SSDref + dmax/SSD + dmax]2
What are Sc and Sp (used in MU calculations) for a 10x10 field?
1
What special steps do we need to take to calculate MU for a rectangular field?
Convert it to an equivalent square
Eq Sq = 4A/P
What’s the equation relating the decay constant, γ, to t1/2?
t1/2 = ln2/γ
What is the decay equation?
A(t) = Aoe-λt
Simplified to:
- A(t) = Aoe-0.693 x t/HL1/2
- A(t) = Ao x 1/2-t/HL
What is the XR output of an XR tube?
Output = tube current x exposure time x (peak kVp)n
n is normally 2
What is the conversion from Tesla (SI Unit) to Gauss (CGS units)?
Both measure magnetic flux (strength)
1T = 10,000 G
What is the equivalent square of a circular field of radius r?
EqSq = r√ π
How do you calculate TVL from μ or HVL?
The formula for beam intensity after passing through x cm of material w/ a certain HVL:
- I = Io x (1/2)x/HVL
- I = Io x e-0.693x/HVL
- I = Io x e-μx
The formula for HVL?
HVL = ln2/µ
ln2 = 0.693
What is ln2?
0.693
What is the conversion between Curie (Ci) and becquerel (Bq)?
1 Ci = 37 x 109 Bq
What is fluence (Φ)?
Number of particles (N) incident on a sphere of cross-sectional area A:
Φ = N/A
What is energy fluence (Ψ)?
Energy of all the particles (Et) incident on a sphere of cross-sectional area A:
Ψ = Et/A
What’s the t1/2 of Co-60?
5.26 yrs
Dmax of a Co 60 beam?
0.5 cm
Dmax of a 18 MV photon beam?
3.5 cm
Dmax of a 15 MV photon beam?
3.0 cm
What is the dmax of a 10MV photon beam?
2.5 cm
What is the dmax of a 6MV photon beam?
1.5 cm
What is the total dose (TD) delivered by a permanent brachytherapy implant of half-life, t1/2, and initial dose rate?
First, calculate the mean life (ML) of an isotope
- ML = 1/γ
- ML = 1.44 x t1/2
- TD = ML x Initial Dose Rate
For an x-bit grayscale image, how many shades of gray can it represent?
2x
What is the conversion from bit to byte?
8 bit = 1 byte
What is the conversion from byte to kilobyle?
1 kilobyte = 1024 bytes
What is the conversion from kilobyte to megabyte?
1 megabyte = 1024 kilobytes
How are intensities (I) related to distances (r) from a radiation source?
(I1/I2) = (r2/r1)^2
It’s the inverse square law!
What is the equation of the XR output of an XR tube?
Output = tube current x exposure time x kVp^2
What is the mean energy of I-125?
35.5 keV
Mnemonic: it is ~ half it’s half life (60 days)
How does I-125 decay?
Decays via electron capture and subsequent gamma release.
- e- caputure: 125I → 125Te
- Decay back to ground state by emitting 35.5 keV γ ray
What is the HVL of I-125 in lead?
0.025 mm
How does Pd-103 decay?
It decays via electron capture and emission of gamma rays, just like I-125.
What’s the t1/2 of Pd-103?
17 days
What is the average radiation energy of Pd-103?
21 keV
What is the HVL of Pd-103 in lead?
0.0085 mm
What is the average energy and t1/2 of Ir-192?
- 72 days
- 0.38 MeV γ
Higher than other sources, which makes sense since it is used for HDR.
How does Ir-192 decay?
It decays via B minus and gamma emission.
How does Cs-137 decay?
It decays via B minus and gamma emission.
What’s the t1/2 of Cs-137?
30 yrs
What’s the t1/2 of Cs-131?
9.7 days
What’s the average energy of Cs-131?
30 keV
How does Cs-131 decay?
e- capture and XR emission
What is the average radiation energy of Cs-137?
0.662 MeV
What is the HVL of Cs-137 in lead?
5.5 mm
What is the HVL or Ir-192 in lead?
2.5 mm
What is the maximum number of electrons that can fit into a shell?
2n2
n = shell number
What is the range (in cm) of electrons in water and air?
Rule of thumb: In water, range is incident energy (MeV) divided by 2.
In air, we have to apply a density correction factor:
Range = (E*(Water_den/Air_den))/2
What is the formula for various isodose lines for electrons of incident energy Eo?
- 5-4-3-2 rule! (Dmax, D90, D80, Range)
– 4 is actually 3.2
– 3 is actually 2.8
Dx = Eo/x
(X is either 5, 4, 3, or 2 depending on which depth you want!)
What is the dmax of a 4 MV photon beam?
1 cm
What is the average public radiation exposure for adults?
Daily: 0.017 mSv per day
Annual: 6.2 mSv per yr
How much of the average public radiation exposure for adults in the US is due to medical tech? What is the breakdown with respect to tech?
48%
CT - 24%
Nuc Med - 17%
Fluoroscopy - 7%
What percentage of the average public radiation exposure for adults in the US is due to background radiation? What is the breakdown with respect to sources of such radiation?
Radon - 37%
Cosmic - 5%
Consumer radiation exposure - 2%
What is the annual NCRP dose limit for occupation radiation exposure for adults?
50 mSv
What is the NRCP effective dose limit for the general public?
1 mSv/year
This is the limit for people exposed to radiation from man-made sources, but it does NOT include exposure from medically necessary imaging and treatment (eg RT) procedures. It also does NOT include exposure to background radiation.
What is the NCRP radiation dose limit for the fetus of a pregnant radiation worker?
5 mSv/year
1/10 the limit to a non-pregnant worker
What is the rest mass of an electron or a positron?
0.511 MeV
What is the minimum amount of photon energy required for pair production?
0.511 MeV x 2 = 1.022 MeV
This energy is used solely to create the mass of electrons and positrons. The remained energy (if a photon has higher energy) is imparted as the kinetic energy of the pair.
What is the density of water?
1 g/cm3
What is the formula for the effective depth of a beam as it passes through inhomogeneous tissues?
Dep_eff = (dep_1den_1) + (dep_2den_2)…
What is the formula for the amount of shielding required for a radiation bunker?
Shielding ∝ (workload x use factor x occupancy) / distance2
How many mm of Cerrobend relative to lead are required to achieve the same shielding?
- 1.2 mm of Cerrobend per mm of lead
- Cerrobend is only ~83% as dense as lead.
- Approx 20% more cerrobend is required for blocking
What attenuation per mm of lead (shielding/blocking) completely blocks an electron beam relative to beam energy?
2 MeV electron energy is completely blocked by every mm of lead.
Therefore, beam energy/2 (+1mm) is the length of lead block required.
What is the formula for calculating the optimal wedge angle?
Wedge angle = 90 - (hinge angle/2)
Hinge angle = gantry angle
How are the wedges arranged for opposed tangents for breast treatments?
The heels of the wedges face towards the anterior (nipple) part of the breast.
What is the thicker part of a wedge called?
The heel
What is the thinner part of the wedge called?
The toe
Under which part, the heel or the toe, is the dose distribution hot vs. cold?
Under the heel, the dose distribution is cold (more attenuation). Under the toe, the dose distribution is hot (less attenuation).
How often should the department QA committee meet?
At least monthly
How can you increase the maximum field length without increasing SSD?
Rotate the collimator by 45 deg.
The size would be √2* (f)
Where f is the field size.
Conversion from eV to J?
1.6 x 10^=10 J
Rest mass of the proton in eV?
938 MeV
The formula for effective half-life?
- 1/Teff = 1/Trad + 1/Tbio
- Teff < Trad or Tbiof
The formula for power?
Power = V x A
What is the Mayneord F-factor and what is the formula for calculating it?
The ratio of the inverse square component of PDD from the reference SSD to another SSD.
Because the dose does not fall off as rapidly at extended SSDs, the F-factor is > 1 but only by a few %
Mnemonic: [(Old & deep (SSD1 + d) × new & shallow (SSD2 + dmax)) ÷ converse]2
What is the relationship between TVL and transmission?
- log (desired transmission/current transmission) * TVL
The dosimeter to measure fetal dose in a pregnant radiation worker is placed where? Does it measure daily, weekly, monthly, or yearly dose?
It’s placed around the abdomen. It measure monthly dose (limit ≤ 50 mrem)
How should you orient the MLCs if you want to minimize head leakage?
90 (leaves travel parallel to the sup/inf axis of the patient
What does V mean in dose constraints?
V = volume receiving a dose ≥ X Gy
What does D mean in dose constraints?
The dose received by X % of the volume
What is the conversion between R and cGy?
1 R = 0.876 cGy
What is the conversion between Sv and rem?
1 Sv = 100 rem
The formula for MU calc for electron beams?
MU = Dose / (K x ISF x PDD x OF)
K = Output factor (usually 1 cGy/MU)
ISF = Inverse square factor using SSDeff
PDD = Prescription isodose line
OF = Obliquity factor (increase in dose with oblique beam entry)
What’s the formula for PDD?
(Dose rate at depth / dose rate at dmax) x 100
The formula for the practical range (R_p) of electrons?
E/2
The formula for the range of 80% IDL (R_80) of electrons?
E/2.8
The formula for the 90%V IDL (R_90) of electrons?
E/3.3
What is the output factor (K) for an electron beam at d_max and 100 cm SSD?
1
What is the ISF for electron beams?
ISF = (SSDeff / (SSDeff + ΔSSD))^2
What’s the formula for calculating CT numbers (Hounsfield units)?
CT number = 1000 x [{μ_mat - μ_water)/μ_water]
How does the range of e relate to electron density?
Higher the e-density, the shorter the range
e density is proportional to mass density (Hounsfield Units)
What’s the beam energy for a tomotherapy unit?
6 MV only
What’s the % attenuation for 6 MV and 15 MV photon beams?
- 6 MV: 3%/cm
- 15 MV: 2%/cm
What’s the air kerma rate at the pubic symphysis for patients receiving I-125 seed implantation in the prostate?
25 μGy/h
What thickness of concrete is enough to shield Linacs outputting up to 18 MV of photons?
260 cm, or 8.6 ft