Ver 4.16 Chapter III X-RAY Production Filters and Half-Value Layers Joseph F. Buono RTT Allied Health Science Nassau Community 1 Education Drive Garden City, NY 11530-6793 phone: 516 - 572 - 7536 office - 9460 Secretary email: joseph.buono@ncc.edu website: rtscanner.com page setup 10×7.5 Title Main Menu Objectives next by default - X-Ray Production - electron interactions with matter - excitation heat - ionization x-ray production - bremsstrahlung x-ray production - diagram of x-ray tube - operation of x-ray tube - graph of intensity vs. photon energy Effect of mas, KVp, Target Material on Quality and Quantity - milliampere second - kilovolt potential - target material - x-ray distribution - line focus - anode heel effect - Filters - Half-Value Layer - Table - ( Summary of factors that effect Quality and Quantity ) - Questions mm Objectives 1 - Define thermionic emission. 2 - State the reasons for using tungsten as the filament material. 3 - State the reasons for using tungsten as the target material. 4 - Define bremsstrahlung radiation. 5 - Label the parts of an x-ray tube. 6 - State the efficiency of x-ray production in the diagnostic range. 7 - Label the graph of intensity verses photon energy. 8 - State the effects of mas, voltage and target material on quality and quantity. 9 - State the three types of electron interactions with matter. 10 - Define x-ray distribution around a thin target verses electron energy. Main Menu Obj 1 Objectives 11 - State the difference between a reflective target and transmission target. 12 - Define line focus. 13 - Define anode heel effect. 14 - State the effect of filters on beam hardness and skin dose. 15 - Define combination filters. 16 - List the components of thoraeus filters. 17 - Define Half-Value Layers and beam hardness. Main Menu Obj 2 Electron Interactions Electron Interactions Main Menu EI 0 Electron Interactions Three types of electron interactions with matter will be studied. Of these, only the last two will produce x-rays. 1. excitation 2. ionization 3. bremsstrahlung Main Menu EI 1 Electron Interactions 1. excitation Excitation Main Menu Ex 0 Electron Interactions 1. excitation - this is a process were an electron in the atom receives enough energy to move to a higher energy state within the atom The cause of excitation in this case, is the absorption of a small amount of energy from the incoming electron to an orbital electron in the atom. The amount of energy absorbed by the orbital electron is NOT enough to free it from the atom (if it were freed from the atom it would be called ionization). The atom is still electrically neutral, because it still has the same number of electrons and protons. The electron in the atom that absorbed the energy is said to be in an excited state and will lose this excess energy in a very short period of time. This excess energy will eventually show up as heat. Main Menu Ex 1 Electron Interactions 1. excitation NOTE: In x-ray production the element of choice will turn out to be tungsten. Therefore, an of atom tungsten will be used in the animation. Tungsten Atom with the K, L, & M shells filled for this demonstration nucleus K L M Main Menu Ex 2 Electron Interactions 1. excitation NOTE: In x-ray production the element of choice will turn out to be tungsten. Therefore, an of atom tungsten will be used in the animation. Tungsten Atom incident electron with kinetic energy of 200 KeV Main Menu Ex 3 Electron Interactions 1. excitation NOTE: In x-ray production the element of choice will turn out to be tungsten. Therefore, an of atom tungsten will be used in the animation. Tungsten Atom transfer of energy incident electron with kinetic energy of 200 KeV Main Menu Ex 4 Electron Interactions 1. excitation NOTE: In x-ray production the element of choice will turn out to be tungsten. Therefore, an of atom tungsten will be used in the animation. Tungsten Atom electron is in a higher energy state transfer of energy The interaction can be with any one of the orbital electrons, but most likely with an outer shell electron. Main Menu The incident electron because it loses only a small amount of energy to the orbital electron will have it's path changed by a very small angle. The path of the incident electron would have continued in a straight line if it did not lose any energy by interacting with the orbital electron. Ex 5 Electron Interactions 1. excitation NOTE: In x-ray production the element of choice will turn out to be tungsten. Therefore, an of atom tungsten will be used in the animation. Tungsten Atom Generally an atom in an excited state will lose this excess energy with in a very short period of time. Very low energy photon. The excitation energy that is given off by the orbital electron will eventually be seen as heat The incident electron because it loses only a small amount of energy to the orbital electron will have it's path changed by a very small angle. Main Menu Ex 6 X-RAY PRODUCTION Electron Interactions 2. Ionization Ionization Main Menu EI 0 Electron Interactions 2. X-RAY PRODUCTION Ionization - is the removal of an electron from an atom This will give rise to the production of: Characteristic Radiation This is the production of x-rays by an electron filling the vacancy of a liberated orbital electron in the target material. If a "free" electron fills the vacancy then a characteristic photon with an energy equal to the binding energy of that electron vacancy for the tungsten atom. If another orbital electron fills the vacancy it would also produce a characteristic photon but with an energy that is equal to the difference between the two energy levels. One of the things that the binding energy is dependent on is the number of protons in the nucleus. Because all elements have different numbers of protons they therefore have different binding energies. "free" electrons are electrons that are not bound to the atom ( they have zero binding energy ) Thus the characteristic radiation that would be produced will be the signature of that element. For tungsten the binding energy of the k inner shell is 69.5 KeV, thus the characteristic radiation for that shell electron is 69.5 KeV if a "free" electron fills the vacancy. Main Menu I1 Electron Interactions X-RAY PRODUCTION 2. Ionization Tungsten atom with only the K & L shells shown the "K" shell binding energy is 69.5 KeV free electrons hole or vacancy in K shell incident electron 200 KeV incident electron with kinetic energy of 200 KeV incident electron loses a minimum of 69.5 KeV of energy (binding energy of K shell) Main Menu I2 Electron Interactions X-RAY PRODUCTION 2. Ionization Tungsten atom with only the K & L shells shown if incident electron loses 95 KeV then the liberated electron energy is: if a "free" electron sees the vacancy in the atom then: 95 KeV - 69.5 KeV = 25.5 KeV hole or vacancy in K shell 25.5 KeV incident electron 200 KeV 105 KeV lets assume the incident electron lost 95 KeV then: electron energy after collision is: incident electron loses a minimum of 69.5 KeV of energy (binding energy of K shell) 200 KeV - 95 KeV = 105 KeV Main Menu I3 Electron Interactions X-RAY PRODUCTION 2. Ionization Tungsten atom with only the K & L shells shown characteristic radiation of 69.5 KeV is given off if a "free" electron sees the vacancy in the atom then: 25.5 KeV incident electron 200 KeV 105 KeV energy before interaction 200 KeV energy after interaction 105.0 KeV 25.5 KeV 69.5 KeV 200.0 KeV The energy before and after MUST be equal. Main Menu I4 X-RAY PRODUCTION Electron Interactions 2. Ionization (K and L shell transition) Tungsten atom with only the K & L shells shown characteristic radiation photon energy = K - L shell energy levels OR 69.5 KeV - 12.1 KeV = 57.4 KeV characteristic radiation of the L shell with an energy of 12.1 KeV "L" shell binding energy of 12.1 KeV Main Menu I5 Electron Interactions X-RAY PRODUCTION 3. Bremsstrahlung Radiation Bremsstrahlung Radiation Main Menu Bm 0 X-RAY PRODUCTION 3. Bremsstrahlung Radiation Electron Interactions - this is the production of x-rays from the interaction of the incident electron with the nuclear field of an atom In x-ray production we will take advantage of a property of nature, which is that a moving charged particle will lose energy when it is made to change its velocity (speed and/or direction) . Therefore, you need a source of charged particles. The easiest types of charged particle to produce are electrons, for every atom has them and they are easy to liberate. Again we will take advantage of nature, for when you heat an object to very high temperatures you will liberate (boil off) electrons. The higher the temperature the greater the number of electrons liberated. Therefore you would like to have as high as temperature as possible. Main Menu Bm 1 X-RAY PRODUCTION Electron Interactions 3. Bremsstrahlung Radiation Tungsten because of it's high melting point is used as a source of electron and this process of boiling off electrons is called thermionic emission. Next we need a way of changing the velocity of the electrons. One way of changing the direction and speed of a charged particle is to place an atom, which would then be called a target, in its path and let the electrons interact with it. This slowing of the electrons is called bremsstrahlung interaction, which is the German word for "braking". Thus the radiation produced in this manner is called bremsstrahlung radiation. Main Menu Bm 2 X-RAY PRODUCTION Electron Interactions 3. Bremsstrahlung Radiation The target material chosen is again tungsten. Tungsten is chosen for two main reasons. First: It has a high melting point. this is needed because most of the electron energy is converted into heat Second: It also has a high atomic number that will give the nucleus a high positive charge and therefore the electrons will more readily interact with it. Main Menu Bm 3 Electron Interactions X-RAY PRODUCTION 3. Bremsstrahlung Radiation is all known as: white radiation continuous radiation braking radiation Tungsten atom with only the K & L shells shown Main Menu Bm 4 Electron Interactions X-RAY PRODUCTION 3. Bremsstrahlung Radiation Tungsten atom with only the K & L shells shown 20 KeV One of the factor that effect the how much energy that an electron will lose is the distance from the nucleus. incident electron 200 KeV incident electron with kinetic energy of 200 KeV if the kinetic energy of electron after interaction is 20 KeV close encounter close encounter high energy transfer to photon Then the energy of photon is: 200 KeV - 20 KeV = 180 KeV 180 KeV Main Menu Bm 5 Electron Interactions X-RAY PRODUCTION 3. Bremsstrahlung Radiation 50 KeV Tungsten atom with only the K & L shells shown distant encounter low energy transfer to photon 20 KeV incident electron 200 KeV distant encounter incident electron with kinetic energy of 200 KeV incident electron 200 KeV 150 KeV close encounter close encounter high energy transfer to photon 180 KeV Main Menu Bm 6 Electron Interactions X-RAY PRODUCTION 3. Bremsstrahlung Radiation 50 KeV Tungsten atom with only the K & L shells shown distant encounter low energy transfer to photon Next: What is the most likely distance that an electron will interact with the nucleus. 20 KeV Remember if the atom is enlarged to fill a baseball stadium the nucleus would be the size of a grain of rice in center field. incident electron 200 KeV distant encounter 150 KeV nucleus incident electron 200 KeV close encounter close encounter high energy transfer to photon 180 KeV Main Menu Bm 7 Electron Interactions X-RAY PRODUCTION 3. Bremsstrahlung Radiation Tungsten atom with only the K & L shells shown Next: What is the most likely distance that an electron will interact with the nucleus. Remember if the atom is enlarged to fill a baseball stadium the nucleus would be the size of a grain of rice in center field. You are standing many miles ( hundreds if not thousands of miles) away from the stadium and shooting in the direction of the stadium. Imagine you are blind folded and have a machine gun that shoots electrons. nucleus It does not take much imagination to realize that the vast majority of the times the bullets are going miss the grain of rice by very wide margins. Thus the vast majority of the bremsstrahlung photons that are produced will be of low energy. Main Menu Bm 8 A simple diagram of an x-ray tube Main Menu Xray 0 simple diagram of an x-ray tube AC power supply necessary circuitry to generate as pure a DC voltage as possible. rectifier - + KVp power out cathode (-) thermionic emission tungsten filament - Glass envelope (to maintain vacuum) electron flow anode (+) tungsten target thin glass window + filament power control (mas) milliampere second Main Menu Xray 1 operation of an x-ray tube rectifier - cathode (-) thermionic emission + anode (+) electron flow mainly bremsstrahlung radiation plus some characteristic radiation - + Only showing those photons that emerge on the patient side of tube, all other photons are NOT shown. Main Menu Xray 2 operation of an x-ray tube rectifier NOTE: At this energy range only about 1% of the electron energy is converted into x-ray production, thecathode remainder of the energy - ) as heat. eventually shows( up thermionic emission - - + anode (+) electron flow + Main Menu Xray 3 Graph of intensity Vs photon energy Graph of intensity Vs photon energy Main Menu Gph 0 Graph of intensity Vs photon energy But first what is intensity? Intensity can be described many different ways. max ― reading One definition is to say that it is the amount of energy in the beam of radiation. For this presentation it will be the NUMBER of photons in the beam of radiation. number of photon per energy unit 0 0 photon energy KeV max energy photon kVp setting Main Menu Gph 1 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production max ― reading start by looking at a photons with energy E1 Count the number of photons at this energy. number of photon per energy unit Low energy photon E1 The number of low energy is large because most of the interaction between the electrons and the nuclear field is at great distances. 0 0 10 KeV E1 which could be 10 KeV energy photons photon energy KeV max energy photon kVp setting Main Menu Gph 2 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production NEXT look at photons with energy E2 max ― reading Again count the number of photons at this energy. But the number of photons counted at this energy value will be SIGNIFICANTLY SMALLER. number of photon per energy unit This is because the incoming electron have to be much closer to the nucleus of the atom to have higher energy . 0 0 10 KeV 20 KeV E1 E2 photon energy KeV max energy photon kVp setting which could be 20 KeV energy photons Main Menu Remember HIGHER energy photons are smaller because they have smaller wavelength’s. Gph 3 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production max ― reading This process is repeated for a number of different photon energies. A straight line can be drawn to connect the points. ideal bremsstrahlung production number of photon per energy unit 0 0 10 KeV 20 KeV E1 E2 photon energy KeV max energy photon kVp setting Main Menu Gph 4 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production This will harden the beam of radiation due to the filtering effects of the target and glass housing. max ― reading ideal bremsstrahlung production This is for an ideal beam, but a practical beam must interact with the target material and the glass housing. number of photon per energy unit 0 0 E1 E2 photon energy KeV max energy photon kVp setting Main Menu Gph 5 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production photons coming from the target max ― reading ideal bremsstrahlung production number of photon per energy unit atoms in the glass housing First look at just Low Energy Photons As can be seen very few low energy photon get past the glass. 0 0 Thus having a very low intensity. E1 E2 photon energy KeV max energy photon kVp setting Main Menu Gph 6 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production max ― reading Next a look at higher energy photons. This process is repeated for a number of different photon energies. number of photon per energy unit photons coming from the target ideal bremsstrahlung production Even through there are many fewer higher energy photons more of them get through the glass. 0 0 E1 E2 photon energy KeV Thus giving a higher number max energy photon then the low energy photons. kVp setting Main Menu Gph 7 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production max ― reading Next draw a line that connects all the points. This process is repeated for a number of different photon energies. number of photon per energy unit ideal bremsstrahlung production This is the photon intensity after the what is called inherent filtration due to the target and tube housing. 0 0 E1 E2 photon energy KeV max energy photon kVp setting Main Menu Gph 8 Graph of intensity Vs photon energy First will examine ideal bremsstrahlung production characteristic radiation (needs to be added to the radiation already there) Contribution of characteristic radiation to total x-ray production is: max ― reading At 80 KVp about 10% of total. Increasing to about 28% at 150 KVp. Decreasing after that and becoming negligible above 300 KVp. ideal bremsstrahlung production number of photon per energy unit 0 0 E1 E2 photon energy KeV max energy photon kVp setting Main Menu Gph 9 Effects of 1. mas 2. KvP 3. Target Material on Quality and Quantity Main Menu 0 Quality and Quantity Main Menu Q&A 0 Quality and Quantity Tube 1 This one operating at: Two X-ray Tube 100 KVp Tube 2 This one operating at: 200 KVp 100 KeV 200 KeV electrons electrons 100 KV X-ray Beam Ionization chamber distance from source 50cm 200 KV X-ray Beam Ionization chamber Main Menu Q&A 1 Quality and Quantity Two X-ray Tube Tube 1 This one operating at: 100 KVp Tube 2 This one operating at: 200 KVp 100 KeV 200 KeV electrons electrons 100 KV X-ray Beam 200 KV X-ray Beam distance from source 50cm Beam 1 Beam 2 40mR/min 15mR/min Beam 1 has a higher intensity then Beam 2. Thus it has a higher Quantity but lower Quality (penetration). Beam 2 on the other hand has a higher penetration then Beam 1, therefore it has a higher Quality but lower Quantity (intensity). Main Menu Q&A 2 Quality and Quantity Two X-ray Tube Tube 1 This one operating at: 100 KVp 200 KVp 100 KeV 200 KeV electrons electrons 100 KV X-ray Beam I2 = I1 d1 d2 = 40mR/min 50cm 2 100cm = 40mR/min 1 2 2 = 10mR/min 200 KV X-ray Beam distance from source 50cm Beam 1 Beam 2 40mR/min 15mR/min Use inverse square law to find new intensity. 2 Tube 2 This one operating at: distance from source 100cm 10mR/min This Beam 1 now measured at this new distance has a lower intensity then Beam 2. Thus is not it only has a lower Quality (penetration) but also a lower Quantity. Main Menu Q&A 3 milliampere second ( mas ) NOTE: the KVp will be held constant for this part. AC power supply rectifier - + KVp power out tungsten filament cathode (-) - anode (+) tungsten target + Main Menu mas 1 milliampere second ( mas ) NOTE: the KVp will be held constant for this part. One way to control the intensity of an xray tube is to control the number of electrons that strike the target. AC power supply rectifier - + KVp power out tungsten filament cathode (-) electrons anode (+) tungsten target To control the number of electrons that strike the target you adjust the heat of the filament. - + This is accomplished by controlling the current flow through the filament. The higher the current flow the higher the temperature and thus more electrons that are boiled off. Main Menu mas 2 milliampere second ( mas ) NOTE: the KVp will be held constant for this part. But milliampere second ( mas ) refers to the current flow from the cathode to the anode and NOT the current flow through filament itself. AC power supply rectifier - + KVp power out Let this represents a setting of 200 milliamperes for 1 sec or 200 mas - + which could give rise to 40 mR of exposure 200 ma × 1 s = 200 mas ⇒ 40 mR of exposure Main Menu mas 3 milliampere second ( mas ) NOTE: the KVp will be held constant for this part. AC power supply rectifier - + KVp power out Let this represents a setting of 200 milliamperes for 1 sec or 200 mas or the setting could have been 100 milliamperes for 2 sec or 200 mas - + Again the exposure would be the same. 200 ma × 1 s = 200 mas ⇒ 40 mR of exposure 100 ma × 2 s = 200 mas ⇒ 40 mR of exposure Main Menu mas 4 milliampere second ( mas ) NOTE: the KVp will be held constant for this part. At this point increase the mas from 200 mas to 400 mas. AC power supply rectifier - + KVp power out These added electrons will generate the same energy photons as the first group of electrons. That is true because the new electrons have the same energy as the first electrons, therefore the photons that are produced will also have the same average energy. There are now twice the number of electrons striking the target. - + 100 ma × 2 s = 200 mas ⇒ 40 mR of exposure Main Menu mas 5 milliampere second ( mas ) NOTE: the KVp will be held constant for this part. AC power supply rectifier - + KVp power out Therefore with an setting of 400 mas the exposure would be 80 mR. Thus intensity (I) and mas are directly related. - + I1 mas1 —— = ——— I2 mas2 100 ma × 2 s = 200 mas ⇒ 40 mR of exposure 400 mas ⇒ 80 mR of exposure Main Menu mas 6 milliampere second ( mas ) NOTE: the KVp will be held constant for this part. graph of intensity vs photon energy for different mas setting ( same KVp setting ) The AC change in supply tube mas results power in a proportional change in the x-ray intensity at all energies. 400 mas Intensity rectifier - + KVP power out 200 mas 0 25 50 But the photons that are produced will have the same average energy, thus the QUALITY of the x-ray beam will remain the SAME. characteristic radiation 75 100 Photon energy (KeV) Thus intensity (I) and mas are directly related. - + I1 mas1 —— = ——— I2 mas2 100 ma × 2 s = 200 mas ⇒ 40 mR of exposure 400 mas ⇒ 80 mR of exposure Main Menu mas 7 Kilo Voltage potential ( KVp ) NOTE: the mas will now be held constant for this part. One very important way of controlling QUALITY and Quantity of an x-ray beam is to control the voltage of the tube. AC power supply rectifier - + KVP power out KVp - + Main Menu KVP 0 Kilo Voltage potential ( KVp ) NOTE: the mas will now be held constant for this part. One very important way of controlling QUALITY and Quantity of an x-ray beam is to control the voltage of the tube. AC power supply rectifier - + KVP power out 72 KVp Let the setting be 72 KVp - + which could give rise to 50 mR of exposure at some fixed mas setting KVp control setting 72 KVp ⇒ 50 mR of exposure Main Menu KVP 1 Kilo Voltage potential ( KVp ) NOTE: the mas will now be held constant for this part. AC power supply At this point increase the KVp from 72 to 82 KVp. rectifier - + KVP power out 72 KVp 82 The number of electrons striking the target is still the same (same mas setting). But the energy of the electrons has increased ( higher KVP ). Thus the photons that are produced will also have a higher energy than before. There will also be an increased in the efficiency of converting the electron energy to photon energy. - + KVp control setting 72 KVp ⇒ 50 mR of exposure 82 KVp Main Menu KVP 2 Kilo Voltage potential ( KVp ) NOTE: the mas will now be held constant for this part. AC power supply rectifier - + KVP power out 82 KVp KVp1 2 —— = ——— I2 KVp2 I1 - + I1 = 50 mR 82 KVp 72 KVp = 64.8 mR It was found that the intensity of the radiation produced is related to the square of the voltage. 2 KVp control setting 72 KVp ⇒ 50 mR of exposure 82 KVp ⇒ 64.8 mR of exposure Main Menu KVP 3 Kilo Voltage potential ( KVp ) NOTE: the mas will now be held constant for this part. graph of intensity vs photon energy for different KVp setting ( same mas setting ) 82 KVp It can be seen that the area AC power supply under the curve has greatly increased by changing the voltage from 72 to 82KVp. Intensity 72 KVp 82 KV beam - 72 KV beam + 82 KVP power out 50 characteristic75 radiation 25 Thus increasing Quantity rectifier of the x-ray beam. Photon energy (KeV) The maximum intensity has shifted to the right. 100 Also the higher energy photons have increased by a larger amount then the lower energy photons. Thus increasing the hardness of the beam of radiation. KVp1 2 —— = ——— I2 KVp2 I1 - + KVP control setting 72 KVp ⇒ 50 mR of exposure 82 KVp ⇒ 64.8 mR of exposure Main Menu KVP 4 Target Material ( Z ) Last way that will be examined to control QUALITY and QUANTITY of an x-ray beam is to look at the target material itself. AC power supply rectifier - + At this time take a closer look inside the target - + Main Menu TM 0 Target Material ( Z ) Main Menu TM 1 Target Material ( Z ) The target is made up of individual tungsten atoms. tungsten atoms At this time will only be studying bremsstrahlung production therefore need to look only at the nucleus of the atoms. Main Menu TM 2 Target Material ( Z ) will only examine one atom in the target therefore it has a +74 charge the atomic number Z for tungsten (W) is 74 Main Menu TM 3 Target Material ( Z ) The amount of energy lost by the electron is dependent on the strength of the nuclear field and the distance from the nucleus. 40 KeV electron (interaction with tungsten nucleus ) +74 charge an electron with 90 KeV energy interacts by bremsstrahlung In this example lets say that the electron had a close encounter with the nucleus, and therefore lost 50 KeV of energy. 50 KeV photon (interaction with tungsten nucleus ) Main Menu TM 4 Target Material ( Z ) Intensity standard graph of intensity vs photon energy tungsten Z=74 40 KeV electron (interaction with tungsten nucleus ) 25 90 KeV energy 50 characteristic75 radiation 100 Photon energy (KeV) 50 KeV photon (interaction with tungsten nucleus ) Main Menu TM 5 Target Material ( Z ) Again, the amount of energy lost by the electron is dependent on the strength of the nuclear field and the distance from the nucleus. 30 KeV electron ( interaction with gold nucleus ) NEXT: Change the target to gold with Z= 79 +79 charge 90 KeV energy repeat The distance from the nucleus and the energy of the electron is the same as before, but the charge on the nucleus is greater, therefore the interaction between them is stronger. Thus the energy lost by the electron will be greater. 40 KeV electron ( interaction with tungsten nucleus ) interacts by bremsstrahlung NEXT: plot intensity vs photon energy 60 KeV photon ( interaction with gold nucleus ) 50 KeV photon ( interaction with tungsten nucleus ) Main Menu TM 6 Target Material ( Z ) standard graph of intensity vs photon energy As the graph indicates NOT ONLY is the intensity of the x-ray tube higher because of the higher atom number material, but there are more higher energy photons then lower energy photons in the beam, thus also increasing the QUALITY of the beam. 30 KeV electron ( interaction with gold nucleus ) If the atomic number is lowered then the opposite effect is be seen. Intensity gold Z=79 tungsten Z=74 125 KeV energy 40 KeV electron ( interaction with tungsten nucleus ) Some x-ray tubes use a low atomic number material, so as to better x-ray soft tissue. NEXT: plot intensity vs photon energy molybdenum Z=42 25 50 characteristic75 radiation 60 KeV photon 100 with gold nucleus ) ( interaction Photon energy (KeV) 50 KeV photon ( interaction with tungsten nucleus ) Main Menu TM 7 X-Ray Distribution X-Ray Distribution around a thin target Main Menu Dis 0 X-Ray Distribution thin target Note: The x-ray intensity is the same in all directions. electron beam 100 KV 400 KV 100 KeV 400 KeV x-ray intensity Note: As the electron energy is increased the x-ray distribution starts to have an increased intensity in the forward direction. Main Menu Dis 1 X-Ray Distribution thin target electron beam Note: The increased forward direction of the distribution become more pronounced as the energy of the incident electron increases. 100 KV 400 KV 20 MV 4 MeV 20 MeV 4 MV Main Menu Dis 2 X-Ray Distribution thin target electron beam 100 KV 400 KV 20 MV electrons target x-rays 4 MV Patient target electrons x-rays Patient Because of the x-ray distribution, for low energy x-ray production a reflective type target is used. This is were the electrons and the x-ray's that are utilized are both on the same side of the target. For high energy x-ray production a transmission type target is used. This is were the electrons and the x-ray's that are utilized are on opposite sides of the target. Main Menu Dis 3 Line Focus Line Focus Main Menu LF 0 Line Focus Source Point Source Patient Bone Film Bone Beam eye view of a portion of the film. If the size of the source is a point source then the image is sharp. LF 0.1 Line Focus Two more point sources are added at the ends of the original source. Source Patient Bone Film Bone The size of the shaded area is determined by a number of factors. One of which is the source size. Thus the problem is how to reduce the source size and dissipate the heat that is generated in a reasonable time so that the patient dose not move. LF 0.2 Line Focus The electrons strikes the actual target area on the anode and some of their energy, about 1%, is transformed into x-rays. anode - target focal spot actual focal spot Electron Flow The remainder of the energy, about 99%, is converted into heat that must be dissipated by the target. But the larger the focal spot, the less detail that can be seen on the x-ray film. Thus a bigger focal spot would be needed to allows for the accumulation of larger amounts of heat before damage to the tungsten target can occurs. These two conflicting problems, the need for a large focal spot to dissipate the heat, and the need for a small focal spot to produce good radiographic detail were resolved in 1918 with development of the LINE FOCUS PRINCIPLE. Main Menu LF 1 Line Focus anode - target focal spot actual focal spot Electron Flow The patient, which is at right angle to the electron flow, will see what is called the apparent focal spot. apparent focal spot Main Menu This is equivalent to source size. LF 2 Line Focus anode - target focal spot actual focal spot Electron Flow To make the target area appear smaller you make the angle of the target smaller this is the new apparent source size Main Menu LF 3 Line Focus anode - target focal spot actual focal spot Electron Flow To make the target area appear smaller you make the angle of the target smaller The anode angle vary from about 6O to 20O. this is the new apparent source size There is a limit to which the anode angle can be decreased because of the anode heel effect. Main Menu LF 4 Anode Heel Effect Anode Heel Effect Main Menu AH 0 Anode Heel Effect (+) anode (-) cathode filament tungsten target central axis - + filament power control (mas) Film NEED to graph film density VS film position film density = dose and/or intensity intensity Main Menu position AH 1 Anode Heel Effect (+) anode Enlarge (-) cathode electron interaction generating X-rays electron filament tungsten target - + filament power control (mas) Film film density = dose and/or intensity intensity Main Menu position AH 2 Anode Heel Effect Film 40” SID Film Main Menu AH 3 Anode Heel Effect In the diagnostic energy range the x-ray production is isotropic, that is, equal in all directions. First label each ray in the beam. If we assume an ideal point source. Than the exposure would have a circular distribution centered on the source. 40” SID 1 2 3 4 5 6 7 100 Film Thus the exposure at the central ray on the film (ray 4) would normally have the highest value. All exposure will be compared to the central ray on the film. Thus its value is 100%. Main Menu AH 4 Anode Heel Effect But Ray 3 has less target material to travel through. Thus its relative strength is greater. As you move laterally from the central ray, in either direction, the expectation is that the exposure would be lower due to the inverse square law. 1 2 3 4 5 6 7 will first examine left side 40” SID 105 100 Film Ray 3 should be little less then the center ray because it is a little further away from the source. Main Menu AH 5 Anode Heel Effect Depending on the angle of the ray, which will determine the distance from the source to the film, and how much target material is in its path will determine the relative exposure. 1 40” SID 108 2 110 3 105 4 100 5 6 7 Film The same reasoning would apply to rays 1 and 2. Main Menu AH 6 Anode Heel Effect 1 40” SID 108 2 110 3 105 4 100 5 90 6 7 80 75 Film The logic on the right side is the same, but because of the greater amount of target material in the path of the rays the exposure will be less than the central ray exposure. Main Menu AH 7 Anode Heel Effect cathode side 40” SID 1 108 2 110 3 105 4 100 5 6 90 anode side 7 80 75 Film field size at 40 SID Three important points are illustrated with this example of the anode heel effect. 1 – The intensity on the anode side of the film is significantly less than the cathode side of the tube. 2 – The anode heel effect is much less noticeable when larger Source Image Distance is used. 3 – For the same Source Image Distance the anode heel 2 3 be less for smaller 4 effect will field sizes.5 1 6 same field size at 40 SID 70” SID 108 110 intensity Main Menu 105 100 cathode side 90 80 anode side center axis film position AH 8 FILTERS FILTERS Main Menu FL 0 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) For simplicity will examine a beam of radiation that consist of just two different energy photons. Remember the higher the energy of the photons the smaller the wavelength. Therefore, the higher energy photons will be smaller. Main Menu FL 1 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) unfiltered beam average energy = 150 KeV Find the average energy of this unfiltered beam . Because the number of high and low energy photons are the same: 100 KeV + 200 KeV average energy = —————————— 2 300 KeV = ————— 2 = 150 KeV Main Menu FL 2 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) unfiltered beam average energy = 150 KeV Intensity = 1500 KeV Find the Intensity of this beam. The intensity of the beam is the amount of energy in the beam. therefore Intensity = 5 × 100 KeV = 500 KeV = 1500 KeV + 5 × 200 KeV + 1000 KeV Main Menu FL 3 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) unfiltered beam average energy = 150 KeV Intensity = 1500 KeV filter Atoms that makeup the filter Main Menu FL 4 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) unfiltered beam average energy = 150 KeV Intensity = 1500 KeV Main Menu FL 5 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) unfiltered beam filtered beam average energy = 150 KeV Intensity = 1500 KeV 2 low energy photons remaining 4 high energy photons remaining average energy = 166.7 KeV Find the average energy of the filtered beam. average energy = = 2 × 100 KeV + 6 4 × 200 KeV 200 KeV + 6 800 KeV = 1000 KeV 6 = 166.7 KeV Main Menu FL 6 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) unfiltered beam filtered beam average energy = 150 KeV Intensity = 1500 KeV 2 low energy photons remaining 4 high energy photons remaining average energy = 166.7 KeV Intensity = 1000 KeV Find the Intensity of this beam. The intensity of the beam is the amount of energy in the beam. therefore Intensity = 2 × 100 KeV = 200 KeV = 1000 KeV + 4 × 200 KeV + 800 KeV Main Menu FL 7 first 5 low energy photons (i.e. 100 KeV of energy each) FILTERS second 5 high energy photons (i.e. 200 KeV of energy each) unfiltered beam filtered beam average energy = 150 KeV Intensity = 1500 KeV 2 low energy photons remaining 4 high energy photons remaining average energy = 166.7 KeV Intensity = 1000 KeV As can be seen the average energy of the beam has increased, therefore making the beam more penetrating. But this came at the cost of reduced intensity, therefore in radiation therapy the Beam On Time must be increased to keep the dose the same and in diagnostic radiology the mas must be increased to keep the film density the same. Main Menu FL 8 FILTERS graph of intensity vs photon energy for different filters SAME mas and KVP settings 2mm Al added filtration Effect of Filters on Patient Exposure in Diagnostic Radiology intensity Trout and coworkers demonstrated the degree of patient protection afforded by filters 4mm Al added filtration 0 25 characteristic radiation 75 50 photon energy (KeV) 100 Exposure to Skin for same density film of a 18 cm thick pelvic phantom using 60 kVp x-ray beam. Al Exposure Decrease in filter to skin exposure dose (mm) (mR) (%) None 2380 — Increased the filtration from 2 mm Al to 4 mm Al. 0.5 1850 22 As can be seen the intensity has decreased. 1.0 1270 47 3.0 465 80 But the quality of the beam has increase. This is because more of the low energy photons have been removed . and less high energy photons have been removed. As can be seen there is a large reduction in patient exposure by up to 80% with a 3 mm of aluminum filter. Main Menu FL 9 FILTERS Combination filters used in Radiation Therapy X-ray tube graph of intensity vs photon energy for different filters intensity characteristic radiation of tungsten ( 58 & 69 KeV ) next graph output Al filter the high energy characteristic radiation of tungsten target will come through the aluminum filter and reach the patient 0 50 100 150 photon energy (KeV) Al first add aluminum filter 200 The lower energy characteristic radiation of the tungsten will be effectively removed by the inherent as well as the added filtration. The characteristic radiation of aluminum ( 1.5 KeV ) will be effectively removed by the intervening air molecules before reaching the patient. Main Menu FL 10 FILTERS Combination filters used in Radiation Therapy X-ray tube graph of intensity vs photon energy for different filters intensity Sn Al Al filter Al & Sn (tin) combination filter VERY IMPORTANT NOTE the aluminum MUST be placed closest to the patient characteristic radiation of Sn (tin) 29 KeV 0 50 100 150 photon energy (KeV) 200 NEXT add tin ( Sn ) filter to the aluminum filter If the filter is placed in the wrong order, then the soft characteristic radiation ( 29 KeV ) coming from the tin filter would be MUCH GREATER. This is because the aluminum filter would not be on the patient side to absorb most of the soft characteristic radiation coming from the tin. Main Menu FL 11 FILTERS Combination filters used in Radiation Therapy X-ray tube graph of intensity vs photon energy for different filters intensity Sn Al Al filter Al & Sn (tin) combination filter But there are still some low energy photons in the beam form the characteristic radiation of tin. characteristic radiation of Sn (tin) 29 KeV 0 50 100 150 photon energy (KeV) As can be seen the intensity has decreased considerably in the 30 to 70 KeV range. 200 To remove these low energy photons in this energy range a copper filter is added between the aluminum and the tin filters. Thus the quality of the beam has increased. Main Menu FL 12 FILTERS Combination filters used in Radiation Therapy X-ray tube intensity graph of intensity vs photon energy for different filters Sn Cu Al Al filter Al & Sn (tin) combination filter VERY IMPORTANT NOTE: The aluminum MUST be placed closest to the patient and the tin closest to the x-ray tube. characteristic radiation of Sn (tin) 29 KeV 0 50 100 150 photon energy (KeV) combination filter Sn (tin) Cu (copper) Thoraeus filter Al (aluminum) 200 To remove these low energy photons in this energy range a copper filter is added between the aluminum and the tin filters. Main Menu FL 13 Half Value Layers Half Value Layers Main Menu HVL 0 Half Value Layers X-ray tube electron flow heat filament central axis ionization chamber Main Menu HVL 1 Half Value Layers X-ray tube Description of the x-ray beam is: electron flow 90 KVP The inherent filtration of this x-ray tube is such that for a set of 90 KVP and some mas the OUTPUT is 120 R/min. This is the way the beam would be used. Thus a patient would be placed in the beam for treatment or an x-ray. 120 R/min Main Menu HVL 2 Half Value Layers X-ray tube electron flow 90 KVP BUT just knowing the KVP of the beam does NOT convey enough information about the beam’s hardness. In order to have a better knowledge of the beams penetration they used the Half-Value Thickness of the beam. Depending on the beams energy either aluminum or copper was used. For low energy beams (superficial) aluminum was used. Density is 2.70 gm/cm3 For higher energy beams (orthovoltage) copper was used. Density is 8.96 gm/cm3 Therefore because this beam is a superficial unit, aluminum will be used to describe its hardness. Tx Beam 120 R/min 120 R/min Avogadro's number = 6.0221415 × 1023 Main Menu HVL 3 Half Value Layers X-ray tube electron flow 90 KVP Thus at this point turn off the beam. Place an aluminum block in the path of the beam that will reduce the intensity by 50%. Example: As a first attempt let us try 2mm AL block. 2mm AL Tx Beam 120 R/min Main Menu HVL 4 Half Value Layers X-ray tube electron flow 90 KVP 2mm AL Let us add 1 more mm of AL to the block. 1mm AL 3mm AL The intensity was NOT reduced by 50% thus you would need to make the AL block thicker. Tx Beam 120 R/min 80 R/min 60 R/min Main Menu HVL 5 Half Value Layers X-ray tube electron flow 90 KVP If you needed a more penetrating beam then you would need to a filter. (Assuming you did NOT increase the KVP). 2mm AL 1mm AL 3mm AL Thus the Half-Value Layer for this beam is 3mm AL. Tx Beam 120 R/min 60 R/min Main Menu HVL 6 Half Value Layers X-ray tube electron flow 90 KVP If you needed a more penetrating beam then you would need to a filter. (Assuming you did NOT increase the KVP). Let us again place an aluminum block in the path of the beam that will reduce the intensity by 50%. 3mm AL Again the intensity was NOT reduced by 50% thus you would need to make the AL block thicker. You will note that the Tx Beam intensity is lower 110 R/min than before. 65 R/min Main Menu HVL 7 Half Value Layers X-ray tube electron flow 90 KVP Thus the Half-Value Layer for this beam is 4.5mm AL. 3mm AL 4.5mm AL 1.5mm AL Again the intensity was NOT reduced by 50% thus you would need to make the AL block thicker. Tx Beam 110 R/min 55 R/min 65 R/min Main Menu HVL 8 Half Value Layers Graph monoenergetic x-ray beam Graph polyenergetic x-ray beam 10090 10090 In a monoenergetic x-ray beam the first HVL is the same as the second HVL. 50 40 30 In this example 2 cm. 20 10 9 8 7 6 5 4 3 2 Thus in a monoenergetic beam adding filters dose NOT change the hardness of the beam, it just reduces the intensity. 1 0 2 4 6 8 absorber thickness cm of aluminum 10 12 80 70 60 Percent Transmitted Intensity Percent Transmitted Intensity 80 70 60 50 40 In a polyenergetic x-ray beam the first HVL is smaller then the second HVL. In this example the first HVL is 2 cm. 30 20 10 And the second HVL is 4 cm. 9 8 7 6 5 And the third HVL is 4.1 cm. 4 Thus in a polyenergetic beam adding filters 3 increases the hardness of the beam, by preferentially absorbing the low energy 2 photons over the higher energy photons. Again adding the filters does 1 increases the hardness of the beam, 0 2 4 6 but at the cost of reduced intensity. 8 10 12 absorber thickness cm of aluminum Main Menu HVL 9 Quality & Quantity Summary of factors that effect Quality and Quantity Summary of factors that effect Quality and Quantity Main Menu QQ 0 Quality & Quantity Summary of factors that effect Quality and Quantity mAs KVP Z of target filtration distance Quantity (Intensity) (amount) Quality (penetration) (hardness) Main Menu QQ 1 Quality & Quantity Summary of factors that effect Quality and Quantity total # of electrons mAs Quantity (Intensity) (amount) KVP Z of target filtration distance filling in for the converse Quality (penetration) (hardness) mAs (milliampere second ) is the total number of electrons that strike the target If the number of electrons that hit the target is increased then the number of photons that are produced will also increase, therefore the intensity of the beam will increase. Thus the change in I1 mAs1 intensity is directly —— = ——— proportional to the I2 mAs2 change in mAs Changing the number of electrons that strike the target will not change the energy that each electron will have. Therefore, the energy of the photons will not change, thus the beam hardness will remain the same. Main Menu QQ 2 Quality & Quantity Summary of factors that effect Quality and Quantity total # of electrons mAs KVP Z of target filtration distance Quantity (Intensity) (amount) Quality (penetration) (hardness) KVP (Kilo Volt Potential ) is the driving voltage used to give the electrons their energy Increasing the KVP will cause a large increase in x-ray intensity. KVP1 —— = ——— I2 KVP2 I1 2 The change in intensity is proportional to the square of the ratio of the voltages. Increasing the voltage will increase the energy of the electrons which will in turn increase the energy of the photons thus increasing the hardness of the beam. In balancing kVp and mAs to produce a constant optical density on a film there is a rule of thumb which states that a 15% increase in kVp is equivalent to doubling the mAs. Main Menu QQ 3 Quality & Quantity Summary of factors that effect Quality and Quantity total # of electrons mAs KVP Z of target filtration distance Quantity (Intensity) (amount) Quality (penetration) (hardness) Z is atomic number of target Increasing the atomic number will increase the strength of the nuclear field which will cause a proportional increase in x-ray intensity. Because of an increase in the strength of the nuclear field there is also an increase in the efficiency in high-energy x-ray production as compared to low energy x-rays. Therefore, there is an overall increase in hardness. Main Menu QQ 4 Quality & Quantity Summary of factors that effect Quality and Quantity total # of electrons mAs KVP Z of target filtration distance Quantity (Intensity) (amount) Quality (penetration) (hardness) filtration: there are two types of filtration ● inherent filtration ● added filtration inherent filtration is due to the glass housing and the target of the x-ray tube. As the x-rays leave the target and traverse the glass housing the low energy x-rays are absorbed, thus hardening the beam. The inherent filtration for a general purpose x-ray tube is approximately equivalent to 0.5 mm aluminum HVL. Main Menu QQ 5 Quality & Quantity Summary of factors that effect Quality and Quantity total # of electrons mAs KVP Z of target filtration distance Quantity (Intensity) (amount) Quality (penetration) (hardness) filtration: there are two types of filtration ● inherent filtration ● added filtration added filtration is metal that is added to the x-ray tube to harden the beam as filtration is added to the x-ray tube the beam intensity is decreased. Main Menu QQ 5 Quality & Quantity Summary of factors that effect Quality and Quantity total # of electrons mAs KVP Z of target filtration distance Quantity (Intensity) (amount) Quality (penetration) (hardness) distance: is the point at which the intensity is measured from the source of radiation as distance is increased the intensity decreases by the inverse square law d1 —— = —— I2 d2 I1 2 Quality is a measure of the photon energies in the beam of radiation. Since the energies of the photons do not change over distance the hardness is unaffected. END Main Menu QQ 6 Questions You must keep your own score. Take your time with the mouse click. Main Menu Qa 0 1) The process of boiling off electrons is called? - heat dissipation b) - electron generation c) - electron production d) - thermionic emission a) Qa 1.1a 1) The process of boiling off electrons is called? - heat dissipation b) - electron generation c) - electron production d) - thermionic emission a) incorrect try again Qa 1.1b 1) The process of boiling off electrons is called? - heat dissipation b) - electron generation c) - electron production d) - thermionic emission a) “d” is correct Qa 1.1c 2) The wire that is heated to produce the electrons is made of? - carbon b) - tungsten c) - low atomic number element for heat dissipation d) - can be any atomic number material a) Qa 1.2a 2) The wire that is heated to produce the electrons is made of? - carbon b) - tungsten c) - low atomic number element for heat dissipation d) - can be any atomic number material a) incorrect try again Qa 1.2b 2) The wire that is heated to produce the electrons is made of? - carbon b) - tungsten c) - low atomic number element for heat dissipation d) - can be any atomic number material a) “b” is correct Qa 1.2c 3) What are the electron interactions that will produce x-rays? - excitation, ionization b) - ionization, electron equilibrium c) - bremsstrahlung, ionization d) - excitation, bremsstrahlung a) Qa 1.3a 3) What are the electron interactions that will produce x-rays? - excitation, ionization b) - ionization, electron equilibrium c) - bremsstrahlung, ionization d) - excitation, bremsstrahlung a) incorrect try again Qa 1.3b 3) What are the electron interactions that will produce x-rays? - excitation, ionization b) - ionization, electron equilibrium c) - bremsstrahlung, ionization d) - excitation, bremsstrahlung a) “c” is correct Qa 1.3c 4) The target material of an x-ray tube is chosen because of its: a) b) c) d) - high melting point and high atomic number - high melting point and low atomic number - low melting point and high atomic number - low melting point and low atomic number Qa 1.4a 4) The target material of an x-ray tube is chosen because of its: a) b) c) d) - high melting point and high atomic number - high melting point and low atomic number - low melting point and high atomic number - low melting point and low atomic number incorrect try again Qa 1.4b 4) The target material of an x-ray tube is chosen because of its: a) b) c) d) - high melting point and high atomic number - high melting point and low atomic number - low melting point and high atomic number - low melting point and low atomic number “a” is correct Qa 1.4c 5) What is efficiency of x-ray production in the diagnostic range? - 100% b) - 99% c) - 1% d) - need to know the mas setting a) Qa 1.5a 5) What is efficiency of x-ray production in the diagnostic range? - 100% b) - 99% c) - 1% d) - need to know the mas setting a) incorrect try again Qa 1.5b 5) What is efficiency of x-ray production in the diagnostic range? - 100% b) - 99% c) - 1% d) - need to know the mas setting a) “c” is correct Qa 1.5c 6) An x-ray tube with a setting of 150 mas has an intensity of 75 mR/sec. What is the intensity if the mas is changed to 200 mas? a) - 25 mR/sec b) - 50 mR/sec c) - 100 mR/sec d) - 125 mR/sec Qa 1.6a 6) An x-ray tube with a setting of 150 mas has an intensity of 75 mR/sec. What is the intensity if the mas is changed to 200 mas? a) - 25 mR/sec b) - 50 mR/sec c) - 100 mR/sec d) - 125 mR/sec incorrect try again Qa 1.6b 6) An x-ray tube with a setting of 150 mas has an intensity of 75 mR/sec. What is the intensity if the mas is changed to 200 mas? a) - 25 mR/sec b) - 50 mR/sec c) - 100 mR/sec d) - 125 mR/sec “c” is correct Qa 1.6c 7) The x-ray intensity is greatest in what direction for a 15 MV linear accelerator: a) - is equal in all directions b) - at right angles to electron flow c) - in the opposite direction of electron flow d) - in the same direction of electron flow Qa 1.7a 7) The x-ray intensity is greatest in what direction for a 15 MV linear accelerator: a) - is equal in all directions b) - at right angles to electron flow c) - in the opposite direction of electron flow d) - in the same direction of electron flow incorrect try again Qa 1.7b 7) The x-ray intensity is greatest in what direction for a 15 MV linear accelerator: a) - is equal in all directions b) - at right angles to electron flow c) - in the opposite direction of electron flow d) - in the same direction of electron flow “c” is correct Qa 1.7c 8) The x-ray intensity is greatest in what direction for diagnostic x-ray production? a) - is equal in all directions b) - at right angles to electron flow c) - in the opposite direction of electron flow d) - in the same direction of electron flow Qa 1.8a 8) The x-ray intensity is greatest in what direction for diagnostic x-ray production? a) - is equal in all directions b) - at right angles to electron flow c) - in the opposite direction of electron flow d) - in the same direction of electron flow incorrect try again Qa 1.8b 8) The x-ray intensity is greatest in what direction for diagnostic x-ray production? a) - is equal in all directions b) - at right angles to electron flow c) - in the opposite direction of electron flow d) - in the same direction of electron flow “a” is correct Qa 1.8c