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Silicon-based Semiconductor Detectors

silicon strip detector - semiconductors
Silicin Strip Detector Source: micronsemiconductor.co.uk

Silicon-based semiconductor detectors are mainly used for charged particle detectors (especially for tracking charged particles) and soft X-ray detectors, while germanium is widely used for gamma-ray spectroscopy. A large, clean, and almost perfect semiconductor is ideal as a counter to radioactivity. However, it isn’t easy to make large crystals with sufficient purity. The semiconductor detectors have low efficiency, but they give a very precise measure of energy. Detectors based on silicon have sufficiently low noise even at room temperature. This is caused by the large band gap of silicon (Egap= 1.12 eV), which allows us to operate the detector at room temperature, but cooling is preferred to reduce noise. The drawback is that silicon detectors are much more expensive than cloud or wire chambers and require sophisticated cooling to reduce leakage currents (noise). They also suffer degradation over time from radiation. However, this can be greatly reduced thanks to the Lazarus effect.

Principle of Operation of Silicon Detectors  

The operation of semiconductor detectors is  summarized in the following points:

  • Ionizing radiation enters the sensitive volume of the detector and interacts with the semiconductor material.
  • Particle passing through the detector ionizes the semiconductor atoms, producing the electron-hole pairs. The number of electron-hole pairs is proportional to the energy of the radiation to the semiconductor. As a result, many electrons are transferred from the valence band to the conduction band, and an equal number of holes are created in the valence band.
  • Under the influence of an electric field, electrons and holes travel to the electrodes, where they result in a pulse that can be measured in an outer circuit,
  • This pulse carries information about the energy of the original incident radiation. The number of such pulses per unit time also gives information about the intensity of the radiation.

The energy required to produce electron-hole pairs is very low compared to the energy required to produce paired ions in a gaseous ionization detector. In semiconductor detectors, the statistical variation of the pulse height is smaller, and the energy resolution is higher. As the electrons travel fast, the time resolution is also very good. Compared with gaseous ionization detectors, the density of a semiconductor detector is very high, and charged particles of high energy can give off their energy in a semiconductor of relatively small dimensions.

Properties of Silicon

Properties of Silicon

There are many natural semiconductors and others synthesized in laboratories; however, silicon (Si) and germanium (Ge) are best known. Silicon has the following properties:

  • silicon - semiconducting material
    Purified silicon. Source: wikipedia.org License: Public Domain

    Silicon. Silicon is a chemical element with the atomic number 14, which means there are 14 protons and 14 electrons in the atomic structure. The chemical symbol for Silicon is Si. Silicon is a hard and brittle crystalline solid with a blue-grey metallic luster, and it is a tetravalent metalloid and semiconductor.

  • Silicon is mainly used for charged particle detectors (especially for tracking charged particles) and soft X-ray detectors. The large band-gap energy (Egap= 1.12 eV) allows us to operate the detector at room temperature, but cooling is preferred to reduce noise. Silicon-based detectors are very important in high-energy physics. Since silicon-based detectors are very good for tracking charged particles, they constitute a substantial part of the detection system at the LHC in CERN.
  • The average energy for the creation of electron-hole pair is 3.6 eV. This value is approximately 10 times lower than the ionization energy of gases used in gas chambers, drift chambers, etc. And it leads to the massive creation of charge carriers.
  • Silicon has a high density of  2.329 g/cm3, and the average energy loss per unit of length allows for building thin detectors (e.g., 300 µm) that still produce measurable signals. For example, in the case of a minimum ionizing particle (MIP), the energy loss is 390 eV/µm.
  • semiconductor detectors - table of parametersThe silicon detectors are mechanically rigid, so no special supporting structures are needed.
  • High mobility of the charge carriers (electrons – 1450 cm2V−1 s −1, holes – 450 cm2V−1 s −1) means rapid charge carriers collection (“10 ns) and short dead time. The width of the readout pulse at half maximum (full width at half maximum – FWHM) is about 20 ns.
  • Silicon detectors can be used in strong magnetic fields.

In all cases, a particle of ionizing radiation deposits a portion of its energy along its path. Particle passing through the detector ionizes the atoms of the semiconductor, producing the electron-hole pairs. For example, the typical thickness of a silicon detector is about 300 µm. Hence, the number of generated electron-hole pairs by a minimum ionizing particle (MIP) passing perpendicular through the detector is about 3.2 x 104. This value is minor compared to the total number of free carriers in an intrinsic semiconductor with a surface of 1 cm2 and the same thickness. Note that a sample of pure germanium at 20 °C contains about 1.26×1021 atoms but also contains 7.5 x 1011 free electrons and 7.5 x 1011 holes constantly generated from thermal energy. As can be seen, the signal-to-noise ratio (S/N) would be minimal. Adding 0.001% of arsenic (an impurity) donates an extra 1015 free electrons in the same volume, and the electrical conductivity is increased by a factor of 10,000. The signal-to-noise ratio (S/N) would be even smaller in doped material. Cooling the semiconductor is one way to lower this ratio.

See also: Doped Semiconductor

Improvement can be achieved by using a reverse-bias voltage to the P-N junction to deplete the detector of free carriers, which is the principle of most silicon radiation detectors. In this case, a negative voltage is applied to the p-side and positive to the second one. Holes in the p-region are attracted from the junction towards the p contact and similarly for electrons and the n contact.

Application of Silicon Detectors

Since silicon-based detectors are very good for tracking charged particles, they constitute a substantial part of the detection system at the LHC in CERN. In principle, most silicon particle detectors work by doping narrow (usually around 100 micrometers wide) silicon strips to turn them into diodes, which are then reverse biased. As charged particles pass through these strips, they cause small ionization currents that can be detected and measured. Arranging thousands of these detectors around a collision point in a particle accelerator can accurately predict what paths particles take. For example, the Inner Tracking System (ITS) of a Large Ion Collider Experiment (ALICE) contains three layers of silicon-based detectors:

  • Silicon Pixel Detector (SPD)
  • Silicon Drift Detector (SDD)
  • Silicon Strip Detector (SSD)

Silicon Strip Detectors

Silicon-based detectors are very good for tracking charged particles. A silicon strip detector is an arrangement of strip-like shaped implants acting as charge-collecting electrodes.

Silicon strip detectors 5 x 5 cm2 in the area are quite common and are used in series (just like planes of MWPCs) to determine charged-particle trajectories to position accuracies of the order of several μm in the transverse direction. These implants form a one-dimensional array of diodes on a low-doped, fully depleted silicon wafer. A position-sensitive detector is built by connecting each metalized strip to a charge-sensitive amplifier. Two-dimensional position measurements can be achieved by applying additional strip-like doping on the wafer backside using double-sided technology. Such devices can measure small impact parameters and thereby determine whether some charged particle originated from a primary collision or was the decay product of a primary particle that traveled a small distance from the original interaction and then decayed.

Silicon strip detectors constitute a substantial part of the detection system at the LHC in CERN. In principle, most silicon particle detectors work by doping narrow (usually around 100 micrometers wide) silicon strips to turn them into diodes, which are then reverse biased. As charged particles pass through these strips, they cause small ionization currents that can be detected and measured. Arranging thousands of these detectors around a collision point in a particle accelerator can accurately predict what paths particles take.

For example, the Inner Tracking System (ITS) of a Large Ion Collider Experiment (ALICE) contains three layers of silicon-based detectors:

  • Silicon Pixel Detector (SPD)
  • Silicon Drift Detector (SDD)
  • Silicon Strip Detector (SSD)

Delta E – E Detector – Telescope

delta E - E Telescope - chart
Example of the histogram from ΔE-E detector. Each hyperbola-like curve represents a different particle in the beam.

In experimental physics, ΔE-E detectors, known as telescopes, are powerful devices for charged particle identification. Telescopes consisting of pairs of thin and thick surface-barrier detectors can be used to provide charged-particle identification. These detectors must be positioned in series. The velocity is deduced from the stopping power measured in the thin detectors (ΔE detectors). There is a strong correlation between the energy deposited in each detector. This correlation depends on the mass (A), the charge (Z), and the kinetic energy (E) of each particle. The mass is deduced from the range or the total kinetic energy loss in the thicker detector (E detector).

Telescopes can be composed of several detectors (ionization chambers, silicon detectors, and scintillators, for instance) stacked to slow down incident charged particles, the first detector being the thinnest and the last the thickest. CsI scintillation counters can be, for example, used as final E counters. As an example of the telescope, an assembly based on two front ΔE silicon detectors (10 or 30 µm) and an E silicon counter 1500 µm thick may be used to detect high-energy charged particles.

References:

Radiation Protection:

  1. Knoll, Glenn F., Radiation Detection and Measurement 4th Edition, Wiley, 8/2010. ISBN-13: 978-0470131480.
  2. Stabin, Michael G., Radiation Protection, and Dosimetry: An Introduction to Health Physics, Springer, 10/2010. ISBN-13: 978-1441923912.
  3. Martin, James E., Physics for Radiation Protection 3rd Edition, Wiley-VCH, 4/2013. ISBN-13: 978-3527411764.
  4. U.S.NRC, NUCLEAR REACTOR CONCEPTS
  5. U.S. Department of Energy, Instrumentation, and Control. DOE Fundamentals Handbook, Volume 2 of 2. June 1992.

Nuclear and Reactor Physics:

  1. J. R. Lamarsh, Introduction to Nuclear Reactor Theory, 2nd ed., Addison-Wesley, Reading, MA (1983).
  2. J. R. Lamarsh, A. J. Baratta, Introduction to Nuclear Engineering, 3d ed., Prentice-Hall, 2001, ISBN: 0-201-82498-1.
  3. W. M. Stacey, Nuclear Reactor Physics, John Wiley & Sons, 2001, ISBN: 0- 471-39127-1.
  4. Glasstone, Sesonske. Nuclear Reactor Engineering: Reactor Systems Engineering, Springer; 4th edition, 1994, ISBN: 978-0412985317
  5. W.S.C. Williams. Nuclear and Particle Physics. Clarendon Press; 1 edition, 1991, ISBN: 978-0198520467
  6. G.R.Keepin. Physics of Nuclear Kinetics. Addison-Wesley Pub. Co; 1st edition, 1965
  7. Robert Reed Burn, Introduction to Nuclear Reactor Operation, 1988.
  8. U.S. Department of Energy, Nuclear Physics and Reactor Theory. DOE Fundamentals Handbook, Volume 1 and 2. January 1993.
  9. Paul Reuss, Neutron Physics. EDP Sciences, 2008. ISBN: 978-2759800414.

See above:

Semiconductors