X-Ray Tube (OCR A Level Physics): Revision Note

Exam code: H556

Katie M

Written by: Katie M

Reviewed by: Caroline Carroll

Updated on

Structure of an X-ray Tube

  • An X-ray tube is a device that converts an electrical input into X-rays

  • It is composed of four main components:

    • A heated cathode

    • An anode

    • A metal target

    • A high voltage power supply

 

  • The production of X-rays has many practical uses, such as in:

    • Medical imaging (radiography)

    • Security

    • Industrial imaging

6-11-1-x-ray-tube-diagram_ocr-al-physics

The main components of an X-ray Tube are the heated cathode, anode, metal target and a high voltage supply

The Role of the Components

Heated Cathode

  • At one end of the tube is the cathode (negative terminal) which is heated by an electric current

    • The heat causes electrons to be liberated from the cathode, gathering in a cloud near its surface

    • This process of thermionic emission is the source of the electrons 

Anode

  • At the other end of the tube, an anode (positive terminal) is connected to the high voltage supply

  • This allows the electrons to be accelerated up to a voltage of 200 kV 

    • When the electron arrives at the anode, its kinetic energy is 200 keV (by the definition of an electronvolt)

  • Only about 1% of the kinetic energy is converted to X-rays

    • The rest is converted to heat energy

    • Therefore, to avoid overheating, the anode is spun at 3000 rpm and sometimes water-cooled

Metal Target

  • When the electrons hit the target at high speed, they lose some of their kinetic energy

    • This is emitted as X-ray photons

  • A heat-resistant block of metal, usually Tungsten, is embedded at the end of the anode, facing the cathode

    • This is the material that the electrons collide with and X-rays are generated in

High Voltage Power Supply

  • The high voltage supply creates a large potential difference (> 50 kV) between the cathode and the target

    • This causes electrons in the cloud around the cathode to be accelerated to a high velocity towards the target, which they strike, creating X-rays

Other Components

  • X-rays are produced in all directions, so the tube is surrounded by lead shielding

    • This is to ensure the safety of the operators and recipients of the X-rays

    • An adjustable window allows a concentrated beam of X-rays to escape and be controlled safely

  • The anode and cathode are housed inside a vacuum chamber

    • This is to ensure that the electrons do not collide with any particles on their way to the metal target

Production of X-ray Photons

  • When the fast-moving electrons collide with the target, X-rays are produced by one of two methods

    • Method 1: Bremsstrahlung

    • Method 2: Characteristic Radiation

Method 1: Bremsstrahlung

  • When the high-speed electrons collide with the metal target, they undergo a steep deceleration

    • When a charged particle decelerates quickly, some of the energy released is converted into a photon

  • A small amount of the kinetic energy (~ 1%) from the incoming electrons is converted into X-rays as the electrons decelerate in the tungsten, due to conservation of energy 

    • The rest of the energy heats up the anode, which usually requires some form of cooling

  • The energy of the X-ray photon can be of any value, up to the original kinetic energy of the electron, giving a spread of possible X-ray energies

    • These X-rays cause the continuous or ‘smooth hump shaped’ line on an intensity wavelength graph

6-11-1-bremsstrahlung-graph_ocr-al-physics
  • When an electron is accelerated, it gains energy equal to the electronvolt, this energy can be calculated using:

Emax = eV

  • This is the maximum energy that an X-ray photon can have

  • The smallest possible wavelength is equivalent to the highest possible frequency and therefore, the highest possible energy

    • This is assuming all of the electron’s kinetic energy has turned into electromagnetic energy

  • Therefore, the maximum X-ray frequency fmax, or the minimum wavelength λmin, that can be produced is calculated using the equation:

Emax=eV=hfmax=hcλmin

  • The maximum X-ray frequency, fmax, is therefore equal to:

fmax=eVh

  • The minimum X-ray wavelength, λmin, is therefore equal to:

λmin=hceV

  • Where:

    • e = elementary charge (C)

    • V = potential difference between the anode and cathode (V)

    • h = Planck's constant (J s)

    • c = the speed of light (m s−1)

Method 2: Characteristic Radiation

  • Some of the incoming fast electrons cause inner shell electrons of the tungsten to be ‘knocked out’ of the atom, leaving a vacancy

    • This vacancy is filled by an outer electron moving down and releasing an X-ray photon as it does (equal in energy to the difference between the two energy levels)

    • Because these X-rays are caused by energy level transitions, they have only specific discrete energies

    • They cause sharp spikes on an intensity wavelength graph

    • The number of spikes depends on the element used for the target - there are two sets of spikes for a tungsten target, representing two sets of possible energy transitions

6-11-1-characteristic-xray-graph_ocr-al-physics
6-11-1-xray-combined-graph_ocr-al-physics

Worked Example

X-rays are a type of electromagnetic wave with wavelengths in the range 10−8 to 10−13 m

If the accelerating potential difference in an X-ray tube is 60 kV, determine if the photons emitted fall within this range.

Answer:

Step 1: Write out known quantities

  • Charge on an electron, e = 1.6 × 10−19 C

  • Accelerating potential difference, V = 60 000 V

  • Planck’s constant, h = 6.63 × 10−34 J s

  • Speed of light, c = 3 × 108 m s−1

 Step 2: Determine the maximum possible energy of a photon

  • The maximum possible energy of a photon corresponds to the maximum energy an electron could have:

Emax = eV

Step 3: Determine an expression for minimum wavelength

Planck relation:    E = hf

Wave equation:    c =

  • When energy is a maximum:

Emax = eV = hfmax

  • Maximum energy corresponds to a minimum wavelength:

eV=hcλmin

  • Rearrange for minimum wavelength, λmin:

λmin=hceV

Step 4: Calculate the minimum wavelength λmin

λmin=(6.63×1034)(3×108)(1.6×1019)(60 000)

λmin = 2.1 × 10−11 m

Step 5: Comment on whether this is within the range for the wavelength of an X-ray 

  • X-ray wavelengths are within 10−8 to 10−13 m

  • The minimum wavelength for a 60 kV supply is 2.1 × 10−11 m, which means the photons produced will be X-rays

Worked Example

A typical spectrum of the X-ray radiation produced by electron bombardment of a metal target is shown below.

Explain why:

a) A continuous spectrum of wavelengths is produced.

b) The gradient is steeper at shorter wavelengths.

c) The spectrum has a sharp cut-off at short wavelengths.

Answer:

Part (a)

Step 1: Consider the path of the electrons from the cathode to the anode

  • Photons are produced whenever a charged particle undergoes a large acceleration or deceleration

  • X-ray tubes fire high-speed electrons at a metal target

  • When an electron collides with the metal target, it loses energy in the form of an X-ray photon as it decelerates

Step 2: Consider the relationship between the energy of the electron and the wavelength of the photon

  • The wavelength of a photon depends on the energy transferred by a decelerating electron

  • The electrons don't all undergo the same deceleration when they strike the target

  • This leads to a distribution of energies, hence, a range, or continuous spectrum, of wavelengths is observed

Part (b)

Step 1: Identify the significance of the intensity 

  • The intensity of the graph signifies the proportion of photons produced with a specific energy, or wavelength

  • The higher the intensity, the more photons of a particular wavelength are produced

  • In other words, the total intensity is the sum of all the photons with a particular wavelength

Step 2: Explain the shape of the graph

  • When a single electron collides with the metal target, a single photon is produced

  • Most electrons only give up part of their energy, and hence there are more X-rays produced at wavelengths higher than the minimum (or energies lower than the maximum)

  • At short wavelengths, there is a steeper gradient because only a few electrons transfer all, or most of, their energy

Part (c)

Step 1: Identify the relationship between minimum wavelength and maximum energy

  • The minimum wavelength of an X-ray is equal to

λmin=hcEmax

  • The equation shows the maximum energy of the electron corresponds to the minimum wavelength, they are inversely proportional 

λmin1Emax

  • Therefore, the higher the energy of the electron, the shorter the wavelength of the X-ray produced

Step 2: Explain the presence of the cut-off point

  • The accelerating voltage determines the kinetic energy which the electrons have before striking the target

  • The value of this accelerating voltage, therefore, determines the value of the maximum energy

  • This corresponds to the minimum, or cut-off, wavelength

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Katie M

Author: Katie M

Expertise: Curriculum Expert

Katie has always been passionate about the sciences, and completed a degree in Astrophysics at Sheffield University. She decided that she wanted to inspire other young people, so moved to Bristol to complete a PGCE in Secondary Science. She particularly loves creating fun and absorbing materials to help students achieve their exam potential.

Caroline Carroll

Reviewer: Caroline Carroll

Expertise: Head of Content Delivery

Caroline graduated from the University of Nottingham with a degree in Chemistry and Molecular Physics. She spent several years working as an Industrial Chemist in the automotive industry before retraining to teach. Caroline has over 12 years of experience teaching GCSE and A-level chemistry and physics. She is passionate about delivering high-quality resources to help students achieve their full potential.