Detector I Flashcards
What does a detector capture?
Ionisation of incoming radiation causes electrons to be measured at electrode
depends on distance and charge mobility
How many eV are needed to produce electrons in detector?
Average energy to create an electron ion pair generally a few electron volts in a semiconductor to 10’s of eV in a gas.
What does one interaction of electron with detector produce?
1 interaction produces given amount of charge
and electrons arrive at electrode over a short time period
What does the area under the current-time graph equal to?
Total amount of charge from the interaction
What happens in the interaction?
Different energies deposited in the interaction and different amounts of charge generated (causing events to occur)
What is the Current mode?
Use ammeter to measure current
What is the Pulse mode?
Records each individual event
Capacitor discharges across resistor and voltage is measured at resistor
What is the time constant equation which is used to find the detector charge collection time?
𝜏 = RC
What is the equation for V_max?
V_max = Q/C
What would be the properties of a perfect detector?
Use a source of monochromatic radiation
Every photon creates the same quantity of charge in the detector
The electronics always measure and record the same V_max
What is V_max converted to?
A digital number which results in a pulse height (H)
Histogram is created of each H value in to pulse height spectrum
What is the pulse height (H) proportional to and what does it depend on?
H ∝ energy of incident radiation
It depends on the number of electrons produced
What does every photon create and what is it described by?
Every photon creates an average quantity of charge (Q) in the detector
Described by Poisson statistics:
Mean number of electrons produced = N
Standard deviation = √N
What is the equation for energy resolution (R) at pulse height?
R = FWHM / H_o
H_o = central/mean value of peak
What do the Poisson stats lead to?
Gaussian response
What is the equation for average H value and the standard deviation?
H_o = kN
σ = k √N
What is Full Width Half Maximum equation?
FWHM = 2.35 σ
What is the Poisson limit to resolution
R = FWHM / H_o = 2.35 / √N
What does the Fano Factor (F) account for and what is the equation?
It accounts for variance
R = 2.35 √ (F/N)
for scintillators: F ≈ 1
for semiconductors: F «_space;1
What does the real measurement of energy resolution (R) include?
It includes other factors:
statistical fluctuations
electronic noise
temporal drift
FWHM^2 = FWHM^2_stat + FWHM^2_noise + …
What does measuring the FWHM define?
ability to distinguish between two nearby energies (two different peaks in pulse height)
Separation between the two has to be less than FWHM to distinguish peaks
What is the absolute efficiency equation?
ε_abs = no. of pulses recorded/ no. of radiation quanta emitted by source
(includes geometry of the source and detector)