radiology physics Flashcards
Photoelectric and Compton scatter are equally likely at these energies:
25 keV in soft tissue
40 keV in bone
At lower energies, PE absorption dominates.
At higher energies, Compton scatter dominates.
average x-ray beam energy (keV) value is estimated how?
= about 1/2 the maximum tube voltage (kVp);
note, this formula works for general projection radiography (CXR, KUB, etc.) which uses predominantly braking radiation, and not most mammography which uses predominantly characteristic radiation (i.e. doesnt apply to Mo/Mo, Rh/Rh, Mo/Rh mammography, bc energy distributions in those type of mammo tubes are dominated by characteristic radiation (rather than braking radiation in all other projection radiography, and that is where that formula matters)
What is the 15% rule in x-ray technique?
The 15% rule (memorize this) is that increasing tube voltage (kV or kVp) by 15% would require mA to be cut in half in order to maintain the same total # of x-rays produced per second.
(=> in other words, increasing kVp by 15% -> 2x mA)
a) What is the “focal spot” in x-ray?
b) Whats the relevance of focal spot size for resolution? You’ll learn more about this in the Projection
c) How does decreasing focal spot size affect technique parameters (i.e. kvp, mA, exposure time) that may need to be adjusted?
a) focal spot is the actual area on the anode target metal exposed to electrons in the x-ray tube.
b) smaller focal spot size increases resolution, countering the effects of geometric blur.
c) Since we’re exposing a smaller area of metal, it heats up more easily (resulting in melting). To counter melting, we need to turn down the tube current (mA) which controls the # of electrons hitting the metal per second. If we decrease mA, we need to increase exposure time to keep the total # of photons coming from the tube constant.
What percent of energy that goes into an x-ray tube comes out as x-rays?
1% of energy that goes into an x-ray tube comes out as x-rays. The rest (99%) goes into heat, which is dissipated by rotating the metal anode target and bathing the x-ray tube in oil.
What are the k-shell binding energies (units of kiloelectron-volts , abbreviated keV) of the following materials:
Anode-target/Filter materials: Mo , Rh , Ag , W
Contrast agents: I , Ba
(units of kiloelectron-volts , abbreviated keV)
Mo - 20,
Rh - 23,
Ag - 25,
W - 70,
I - 33,
Ba - 37
**Remember that the highest characteristic energies are slightly less than the k-shell binding energy.
Note, bonus:
The higher the atomic number (Z, the # of protons), the higher the k-edge. This makes sense - the k-shell binding energy is higher if there are more protons to pull on the k-shell electron. Thus, I know the Z number of Rh is higher than Mo just because I know the corresponding k-shell binding energies
Formula for likelihood of
(a) photo-electric interaction with material.
(b) Compton scatter interaction with material
and relation to Z
(a) PE proportional to Z^3/E^3
(dependent on Z and physical density)
(b) Compton proportional to 1/E
(dependent on electron density and physical density, not really that related to Z; => adjusting Z alone does not really affect Compton scatter contribution)
(Z= atomic number, E=photon energy)
mnemonic “Zebra sits on the Elephant” (Z on top of E)
=>that’s why PE dominates at lower energies, while compton dominates at higher energies (the liklihood of a PE falls of by 1/E^3, but while for compton just by 1/E; note of course PE cannnot happen at all without involving at least the minimum E for k-edge)
*Memorize:
What is the best kVp for subject contrast with these various modalities:
catheter angiograms -
CT angiograms -
Barium GI fluoro studies -
catheter angiograms - 70 kVp
CT angiograms - 100 kVp
Barium GI fluoro studies - 90-110 kVp
(note: …In general Subject contrast is best when average x-ray energy is slightly more than the k-edge of the contrast agent; i.e. in case of iodine, since the average photon energy from an x-ray tube is about half the kVp, if we set kVp to 70 kV, then the average x-ray photon energy is 35 keV, which is slightly higher than the k-edge of iodine (33 keV)!…. however, because this simplified reasoning isn’t bulletproof, it’s useful to memorize the above best kvp values.)
You are performing a diagnostic cerebral angiogram in the IR suite and you switch from imaging the groin for puncture to the skull, where the fluoroscopy machine automatically increases average beam energy to penetrate bone. What happens to the HVL of your lead apron?
Choose only ONE best answer.
A
HVL increases.
B
HVL decreases.
C
HVL is unchanged.
D
HVL increases initially, then settles back.
E
HVL decreases initially, then settles back.
The correct answer is ‘A’ .
HVL depends on the material and the x-ray beam energy.
Denser materials have smaller HVLs because they stop x-rays more efficiently.
Higher energy x-rays cause the HVL to increase for any material, because those x-rays are more penetrating (less likely to engage in Compton Scatter or photoelectric absorption).
You’re thinking about getting a new shielding apron (2mm HVL for typical x-rays) in one of two thicknesses. You can get either the Lizard model (6mm thick) or the Hippo model (12mm thick). How many times more attenuating is the Hippo model versus the Lizard model?
Choose only ONE best answer.
A
1/2
B
2
C
6
D
8
E
64
D. 8
Explanation:
You’ll need to be comfortable with basic calculations using half value layer (HVL).
The x-ray intensity drops by half for every HVL of thickness.
First, convert the thicknesses in mm to #’s of HVLs, where one HVL is 2mm for this particular scenario:
Lizard Model: 6 mm is 3 HVL of material
Hippo Model: 12 mm is 6 HVL of material
Second, use the HVL formula, which relates the input x-ray intensity (I0) to the output x-ray intensity (I1) in terms of the distance travelled by the x-ray beam (d):
I1 = I0 x (1/2)(# of HVL)
Lizard Model: I1 = I0 x (1/2)3 = (1/8) I0
Hippo Model: I1 = I0 x (1/2)6 = (1/64) I0
The Hippo Model is 8x more attenuating than the Lizard model.
Bonus
Practice this type of question ahead of time. If your head is spinning at the sight of math on exam day, don’t stress out. Just move on to the next question.
A grid’s height is 1.2 mm, its grid bar (septum) width is .6 mm, and its interspace width is 0.2 mm. What is the grid ratio?
Choose only ONE best answer.
A
6:1
B
1/6:1
C
1/5:1
D
2:1
E
1.2:1
A.
Explanation
Grid ratio is 1.2 mm grid height divided by 0.2 mm interspace width. 1.2/0.2 = 12/2 = 6. The width of septa themselves is irrelevant to grid ratio. By convention, this grid ratio is reported as 6:1.
Memorize This
Grid ratio = height / interspace width
You’ll see the answer reported using the colon (:) symbol as (height/interspace width) : 1.
When memorizing this formula, remember “height is high”, “D is in the denominator”.
Typical grids have ratios like 6:1 or 12:1. It makes sense that they are taller than their interspace width, so height should be in the numerator.
Increasing anode angle results in which of these?
Choose only ONE best answer.
A
Increased effective focal spot size, decreased anode heel effect
B
increased effective focal spot size, increased anode heel effect
C
decreased effective focal spot size, increased anode heel effect
D
decreased effective focal spot size, decreased anode heel effect
E
unchanged effective focal spot size, unchanged anode heel effect
A.
Explanation
Increased anode angle causing larger effective focal spot size is purely a result of geometry, called the “line focus principle.”
The large anode angle also makes the metal target more parallel with the detector, so the detector gets irradiated more evenly, which makes for decreased anode heel effect.
Details
Mnemonic to remember which angle is the anode angle: The Large anode angle looks like the letter L (L for Large). The Very Small anode angle looks the letter V.
Bonus
Anode heel effect is less of an issue with digital radiography than film, because post-processing algorithms can partially compensate the spatial inhomogeneity in x-ray intensity.
The CR reader extracts the x-ray exposure pattern using different colors of light as follows:
Choose only ONE best answer.
A
apply red light, read blue light, erase with white light
B
apply blue light, read red light, erase with white light
C
apply blue light, read red light, erase with green light
D
apply white light, read red light, erase with blue light
E
apply red light, read white light, erase with blue light
The correct answer is ‘A’
Explanation:
The CR cassette stores x-ray exposure events with electrons that move from ground to metastable state. The CR reader stimulates the cassette with red light. Metastable electrons return to ground state, releasing blue light, marking the spots where x-rays previously landed. The cassette is completely erased with intense white light.
Memorize This
-Computed Radiography (CR) cassettes store the x-ray image using photostimulable phosphors (PSPs).
-The CR cassette reader uses red, blue, and white light in these different ways: Red-light stim-> Triggering Blue-light release (“hit it with red to release it; it will burn blue to let it be red”); Erase it with bright white.
(The order of things is RED, BLUE, WHITE; RBW “Ruth Bader Winsburg”)
What focal spot size is most commonly used in standard projection radiography for chest, abdomen and extremity imaging?
Choose only ONE best answer.
A 1.2 mm B 0.3 mm C 0.1 mm D 1.0 mm E 2.0 mm
A.
This is a recall question. Standard projection radiography uses the 1.2 mm focal spot size.
Memorize this:
X-ray-based Modality / Effective Focal Spot Size
Standard Radiography / 1.2 mm CT / 1.0 mm Fluoroscopy / variable from 0.3 mm to 1.2 mm Mammography (standard) / 0.3 mm Mammography (magnification) / 0.1 mm
Details
Review the difference between actual and effective focal spot size.
Actual focal spot size is determined by filament length. Smaller actual focal spot sizes require more limited tube current to avoid anode target melting because heat is concentrated onto a smaller area of the metal.
Effective focal spot size is proportional to actual focal spot size (filament length) and anode angle.
Effective focal spot size is one of the three determinants of resolution.
Memorize:
What are the effective focal spot sizes used in the various x-ray modalities:
Standard Radiography CT Fluoroscopy Mammography (standard) Mammography (magnification)
X-ray-based Modality / Effective Focal Spot Size
Standard Radiography / 1.2 mm CT / 1.0 mm Fluoroscopy / variable from 0.3 mm to 1.2 mm Mammography (standard) / 0.3 mm Mammography (magnification) / 0.1 mm
What is the standard resolution limit of digital projection radiography for chest, abdomen, and extremity imaging?
Choose only ONE best answer.
A 7 lp/mm B 1 lp/mm C 2 lp/mm D 5 lp/mm E 11 lp/mm
D. 5 lp/mm
Explanation:
Every x-ray based modality has different resolution limits, and line pairs per millimeter (lp/mm) is one measure of resolution. CR-based digital projection radiography has an approximate resolution limit of 5 lp/mm.
Memorize this
These numbers are rough, so you’ll see a wider range of values reported across the literature. Have a general idea for how each modality ranks by resolution limit.
Modality Resolution Limit (lp/mm) CT 1 Fluoroscopy 1-4 DSA 2 CR-based digital radiography 5 film radiography 7 digital mammography 7 film mammography 11 & 13 (perpendicular vs. parallel to focal spot, respectively- MQSA standards)
What are typically quotes Resolution Limits for following modalities (lp/mm)
- CT
- Fluoroscopy
- DSA
- CR-based digital radiography
- film radiography
- digital mammography
- film mammography
Modality Resolution Limit (lp/mm):
CT 1 Fluoroscopy 1-4 DSA 2 CR-based digital radiography 5 film radiography 7 digital mammography 7 film mammography 11 & 13 (perpendicular vs. parallel to focal spot, respectively- MQSA standards)
Which one of these detector types is most commonly used for chest, abdomen, and extremity digital radiography?
Choose only ONE best answer.
A Photostimulable phosphor B Intensifying screen C Cesium Iodide scintillator D Sodium Iodide scintillator E Photodiodes with thin-film transistors
The correct answer is ‘A’
Explanation: Computed radiography (CR) cassettes are the detector types most commonly used in digital projection radiography. The underlying technology is a photostimulable phosophor (PSP) that stores x-ray exposure events, which can be read later using a CR reader.
Details
Intensifying screen is the “screen” part of film-screen, the original detectors in projection radiography. The screen converts x-rays into visible light and brightens the image before it hits the film, decreasing the patient dose needed to form an image. That all you need to know about film-screen.
Cesium Iodide (CsI) scintillators are the “indirect” part of indirect flat panel detectors (FPD) in Fluoroscopy. Scintillators (in the most general sense of the word) convert x-rays into visible light. With indirect digital flat panel detectors (FPD), CsI first converts x-rays into visible light so that it can be detected by photodiodes (light-sensitive detectors) connected to thin-film transistors (TFT) that digitally record the photodiode signal. The charge-coupled device (CCD) is an alternate light-sensitive digital circuit that may be used in conjunction with the CsI scintillator layer instead of the photodiode-TFT combination.
Amorphous selenium is used in direct digital FPD detectors for Mammography. This technology forms a digital image from x-rays without the CsI scintillator or photodiodes. There is still a TFT layer to read out the digital signal.
Sodium Iodide (NaI) scintillators are used in Nuclear Medicine. The NaI converts gamma rays into visible light for gamma cameras (planar and SPECT imaging) and well counters.
Bonus
Keep your scintillators straight. NaI is used in Nuclear Medicine.
On an x-ray characteristic curve ( which describes the relationship between x-ray exposure and the resulting image), Which parts of this curve correspond with image contrast and latitude?
- Contrast is proportional to the slope of the characteristic curve. The slope is called gamma.
- Latitude is the x-axis range over which the curve hasn’t plateaued, also called the dynamic range.
Details
The characteristic curve describes the relationship between x-ray exposure and the resulting image.
In digital imaging, windowing/leveling at the viewing station simulates adjustments in contrast and latitude in the image.
Bonus
The major advantage of digital radiography is virtually infinite latitude versus the latitude of any type of film. (bc film has an S-shaped curve, so has plateaus at either end and therefore has a narrow region of latitude centrally; but digital is a straight-linear curve, so essentially has no points where it plateaus.) (you lose contrast/slope at points of the curve that are flat/plateau/”outside the region of latitude”)
You move to a higher ratio grid. How does your image quality change?
Choose only ONE best answer.
A Unchanged shot noise, increased contrast B Increased shot noise, increased contrast C Decreased shot noise, increased contrast D Decreased shot noise, decreased contrast E Unchanged shot noise, unchanged contrast
The correct answer is ‘A’
Explanation
The grid decreases scatter (the higher grid ratio means less scatter gets through). Scatter deteriorates contrast. The phototimer ensures the # of photons forming the image, and hence shot noise (quantum mottle), is unchanged (we assume of coarse a phototimer is being used). Overall, the contrast-to-noise ratio increased.
Details
Contrast can be quantified by placing a radiopaque disc at the center of the field. You can then compare the pixel intensity at the center to the periphery. Scatter causes the photon count from the radiolucent periphery to average into the image area for the radiopaque disc, leading to an overall grayer image for the disc. Contrast has decreased from scatter- there’s less pixel intensity difference between disc and periphery.
Bonus
- Reading through answers can be confusing when the choices are small variations of each other. Minimize confusion in this scenario by deciding the correct answer without reading every distractor option in detail.
- On the exam, assume the phototimer is in effect with questions related to projection radiography, unless a question stem explicitly tells you otherwise.
A chest radiograph irradiates the breast in a pregnant woman being assessed for TB. Which unit of radiation dose accounts for the fact that breast tissue is being irradiated, elevating stochastic (cancer) risk?
Choose only ONE best answer.
A Absorbed dose B Effective dose C Air Kerma D Equivalent dose E Kerma-Area Product
The correct answer is ‘B’.
Explanation
Effective dose is the best option here for relating to cancer risk.
Details
Absorbed, equivalent, and effective dose are all related to each other by weighting factors:
exposure → absorbed → effective
Exposure (gray, abbreviated Gy = Joules/kilogram) - how much x-ray energy (Joules) was released per kilogram of air.
(-Fluoro uses air kerma (AK - units of mGy) and kerma-area product (KAP- units of mGy∙cm2 ) extensively - those are important units of exposure, and we’ll see more of that in fluoroscopy. In fluoroscopy, you’ll learn that AK relates to deterministic effects (epilation, radiation necrosis, etc.) and KAP relates to stochastic effects (cancer). Since this question doesn’t relate to fluoroscopy, it’s best to avoid choosing AK or KAP. Moreover, neither AK or KAP account for tissue type.)
- Absorbed dose (gray, abbreviated Gy = Joules/kilogram) - how much x-ray energy gets into the tissue per kilogram of tissue.
- Equivalent dose (Sieverts, abbreviated Sv) - accounts for different amounts of DNA damage caused by different types of radiation. Both x-rays and gamma rays have weighting factor = 1, so the numerical value of equivalent dose in Sv = absorbed dose in Gy for diagnostic radiology. Although this unit accounts a little bit for propensity to cancer, it does not account for tissue type, and thus is not the best answer.
Effective dose (Sv) - accounts for tissue irradiated with regards to stochastic (cancer) risk. Each organ has its own weighting factor based on it’s level of sensitivity to radiation, including breast. Effective dose tells you the effect of the radiation on cancer risk, accounting for tissue type. This is the best answer.
Bonus
In x-ray, the weighting factor for type of radiation is 1 => absorbed dose (mGy) = equivalent dose (mSv); effective dose will vary based on the specific tissue in question and its tissue weighting factor.
Don’t Memorize This
Forget about radiation dose units like rad, rem, and roentgen - these aren’t SI, so they shouldn’t be asked on the exam. Plus, they’re a headache to keep straight.
You are evaluating possible investment in a CR cassette manufacturing startup that’s decided to go from a thin photostimulable phosphor (PSP) to a new thicker PSP. What do you expect will happen to the modulation transfer function (MTF) and detective quantum efficiency (DQE) curves when the company moves to the thicker PSP?
Choose only ONE best answer.
A MTF down, DQE up B MTF up, DQE down C MTF up, DQE up D MTF down, DQE down E MTF unchanged, DQE up
A. is correct.
Explanation
Thicker PSP means x-rays are more effectively captured and recorded, increasing DQE (reflecting better image signal-to-noise ratio). Unfortunately, thicker PSP also causes more light spreading during the reading process (when red light is shown onto the cassette, triggering release of blue light from within which then spreads out as it propogates through the thicker PSP to the photodioide), which causes the MTF curve to go down (loss of resolution).
Memorize this
Increased DQE allows for lower patient dose to achieve the same required image quality. Want better image quality with lower patient dose? Seek higher DQE.
Details
DQE is the ratio of output signal-to-noise ratio (SNR) to input SNR. The term SNR is equivalent to contrast-to-noise (CNR) in imaging. You can think of “input SNR” as the CNR for a perfect imaging system. The “output SNR” is the CNR from your actual equipment with all of its imperfections.
DQE varies with kVP and with spatial frequency.
Direct digital has the best DQE, followed by indirect digital, and film-screen with the worst DQE across all spatial frequencies.
You are evaluating possible investment in a CR cassette manufacturing startup that’s decided to go from a thin photostimulable phosphor (PSP) to a new thicker PSP. What do you expect will happen to the modulation transfer function (MTF) and detective quantum efficiency (DQE) curves when the company moves to the thicker PSP?
Choose only ONE best answer.
A MTF down, DQE up B MTF up, DQE down C MTF up, DQE up D MTF down, DQE down E MTF unchanged, DQE up
A. is correct.
Explanation
Thicker PSP means x-rays are more effectively captured and recorded, increasing DQE (reflecting better image signal-to-noise ratio). Unfortunately, thicker PSP also causes more light spreading during the reading process (when red light is shown onto the cassette, triggering release of blue light from within which then spreads out as it propogates through the thicker PSP to the photodioide), which causes the MTF curve to go down (loss of resolution).
Memorize this
Increased DQE allows for lower patient dose to achieve the same required image quality. Want better image quality with lower patient dose? Seek higher DQE.
Details
DQE is the ratio of output signal-to-noise ratio (SNR) to input SNR. The term SNR is equivalent to contrast-to-noise (CNR) in imaging. You can think of “input SNR” as the CNR for a perfect imaging system. The “output SNR” is the CNR from your actual equipment with all of its imperfections.
DQE varies with kVP and with spatial frequency.
(Direct digital has the best DQE, followed by indirect digital, and film-screen with the worst DQE across all spatial frequencies).
You are evaluating possible investment in a CR cassette manufacturing startup that’s decided to go from a thin photostimulable phosphor (PSP) to a new thicker PSP. What do you expect will happen to the modulation transfer function (MTF) and detective quantum efficiency (DQE) curves when the company moves to the thicker PSP?
Choose only ONE best answer.
A MTF down, DQE up B MTF up, DQE down C MTF up, DQE up D MTF down, DQE down E MTF unchanged, DQE up
A. is correct.
Explanation
Thicker PSP means x-rays are more effectively captured and recorded, increasing DQE (reflecting better image signal-to-noise ratio). Unfortunately, thicker PSP also causes more light spreading during the reading process (when red light is shown onto the cassette, triggering release of blue light from within which then spreads out as it propogates through the thicker PSP to the photodioide), which causes the MTF curve to go down (loss of resolution).
Memorize this
Increased DQE allows for lower patient dose to achieve the same required image quality. Want better image quality with lower patient dose? Seek higher DQE.
Details
DQE is the ratio of output signal-to-noise ratio (SNR) to input SNR. The term SNR is equivalent to contrast-to-noise (CNR) in imaging. You can think of “input SNR” as the CNR for a perfect imaging system. The “output SNR” is the CNR from your actual equipment with all of its imperfections.
DQE varies with kVP and with spatial frequency.
(Direct digital has the best DQE, followed by indirect digital, and film-screen with the worst DQE across all spatial frequencies)