91 5
The corresponding theoretical S/N ratio is estimated from
the number n of BSE produced, which depends on the inci-
dent beam current IB, the BSE coefficient η, and the dwell
time per pixel τ:
nI= 62. (^4) Bητ (5.19)
where the coefficient 6.24 is appropriate for beam current
expressed in pA and the dwell time expressed in μs.
Because the image pixels are independent and uncorre-
lated, if a mean number n of BSE is produced at each pixel the
expected variance is n1/2:
SN//nn//nI.
/
()theory==^1212 =()B
12
624 ητ
(5.20)
For IB = 4000 pA, ηMo = 0.38, and τ = 64 μs
()SN/.theory=()^624 IBητ^12 / =779 1.
(5.21)
The DQE for this particular detector is thus
DQE=()experimental ()theoretictal
SN//SN/
./ ..
22
297 3 779 10^221146
(5.22)
A similar study for an Everhart–Thornley SE-BSE detector
on an electron probe X-ray microanalyzer is shown in
. Fig. 5.30, for which the DQE is calculated as 0.0016.
. Table 5.1 lists values of the DQE for various detectors,
demonstrating that a large range in values is encountered,
even among detectors of a specific class, for example, the E–T
detector.
References
Everhart T, Thornley R (1960) Wide-band detector for micro-microam-
pere low-energy electron currents. J Sci Instrum 37:246
Fiori C, Yakowitz H, Newbury D (1974) Some techniques of signal pro-
cessing in scanning electron microscopy. In: Johari O (ed) SEM/1974.
IIT Research Institute, Chicago, p 167
Jones R (1959) Phenomenological description of the response and
detecting ability of radiation detectors. Adv Electr Electron Opt
11:88
Joy DC, Joy CS, Bunn RD (1996) Measuring the performance of scanning
electron microscope detectors. Scanning 18:533
Newbury DE (1976) “The utility of specimen current imaging in the
scanning electron microscope” SEM/1976/I. IIT Research Inst, Chi-
cago, p 111
Robinson V (1975) “Backscattered electron imaging” SEM/1975, I. IIT
Research Inst, Chicago, p 51
Wells OC (1957) The construction of a scanning electron microscope
and its application to the study of fibres. Ph. D. Diss., Cambridge
University, Cambridge
Everhart-Thornley detector on electron probe microanalyzer
Y-Intercept = 28.6
300
250
200
150
100
50
0
024 6 81012
Beam current (nA)
Gray level
. Fig. 5.30 Average gray level versus beam current for an Everhart–
Thornley detector on an electron probe microanalyzer. Specimen: Si;
E 0 = 10 keV
. Table 5.1 DQE of electron detectors from different
manufacturers (Joy et al. 1996)
SE detector DQE
Everhart–Thornley 0.56
Everhart–Thornley 0.17
Everhart–Thornley 0.12
Everhart–Thornley 0.017
Everhart–Thornley 0.0008
High performance SEM:
Everhart–Thornley (lower) 0.18
Everhart–Thornley (TTL) 0.76
Microchannel plate 0.029
BSE detector
Scintillator BSE 0.043
Scintillator BSE 0.005
E–T BSE mode (negative bias) 0.001
E–T BSE mode (negative bias) 0.004
Microchannel plate BSE 0.058
Microchannel plate BSE 0.026
References