Figure 2.14 General energy dependence of g, (E) and g, (E) near the band edges. g, (E) and g, (E) are the density of states in the conduction and valence bands, respectively. 3. For some particular semiconductor, Eg=1.50 eV, mp*=10mm*, T=300 K and n=1x10³ cm³. a) Determine the position of the intrinsic Fermi energy level with respect to the center of the bandgap. b) Impurity atoms are added so that the Fermi energy level is 0.45 eV below the center of the bandgap. Are acceptor or donor atoms added? c) What is the concentration of the impurity atoms added?

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E
8(E)
8, (E).
Figure 2.14 General energy dependence of g, (E) and g, (E) near the band edges. g. (E) and g, (E)
are the density of states in the conduction and valence bands, respectively.
3.
For some particular semiconductor, Eg=1.50 eV, mp*=10mn*, T=300 K and
n₁=1x105 cm-³.
a) Determine the position of the intrinsic Fermi energy level with respect to the center
of the bandgap.
b) Impurity atoms are added so that the Fermi energy level is 0.45 eV below the center
of the bandgap. Are acceptor or donor atoms added?
c) What is the concentration of the impurity atoms added?
4. Pierret Problem 3.12 (a)-(f) for diagram P3.12 (b) and (e)
3.12 Interpretation of Energy Band Diagrams
Six different silicon samples maintained at 300 K are characterized by the energy band
diagrams in Fig. P3.12. Answer the questions that follow after choosing a specific diagram
for analysis. Possibly repeat using other energy band diagrams. (Excessive repetitions have
been known to lead to the onset of insanity.)
(a) Do equilibrium conditions prevail? How do you
know?
(b) Sketch the electrostatic potential (V) inside the semiconductor as a function of x.
(c) Sketch the electric field (8) inside the semiconductor as a function of x.
(d) The carrier pictured on the diagram moves back and forth between x = 0 and x = L
without changing its total energy. Sketch the K.E. and P.E. of the carrier as a function
of position inside the semiconductor. Let E, be the energy reference level.-
(e) Roughly sketch n and p versus x.
On the same set of coordinates, make a rough sketch of the electron drift-current den-
sity (JNlarik) and the electron diffusion-current density (JNidir) inside the Si sample as
a function of position. Be sure to graph the proper polarity of the current densities at
all points and clearly identify your two current components. Also briefly explain how
you arrived at your sketch.
0
Electron
[J4
EG4
(b)
3L/4
Ec
EF
L
In
(e)
L
E
E₁
EF
x
Transcribed Image Text:E 8(E) 8, (E). Figure 2.14 General energy dependence of g, (E) and g, (E) near the band edges. g. (E) and g, (E) are the density of states in the conduction and valence bands, respectively. 3. For some particular semiconductor, Eg=1.50 eV, mp*=10mn*, T=300 K and n₁=1x105 cm-³. a) Determine the position of the intrinsic Fermi energy level with respect to the center of the bandgap. b) Impurity atoms are added so that the Fermi energy level is 0.45 eV below the center of the bandgap. Are acceptor or donor atoms added? c) What is the concentration of the impurity atoms added? 4. Pierret Problem 3.12 (a)-(f) for diagram P3.12 (b) and (e) 3.12 Interpretation of Energy Band Diagrams Six different silicon samples maintained at 300 K are characterized by the energy band diagrams in Fig. P3.12. Answer the questions that follow after choosing a specific diagram for analysis. Possibly repeat using other energy band diagrams. (Excessive repetitions have been known to lead to the onset of insanity.) (a) Do equilibrium conditions prevail? How do you know? (b) Sketch the electrostatic potential (V) inside the semiconductor as a function of x. (c) Sketch the electric field (8) inside the semiconductor as a function of x. (d) The carrier pictured on the diagram moves back and forth between x = 0 and x = L without changing its total energy. Sketch the K.E. and P.E. of the carrier as a function of position inside the semiconductor. Let E, be the energy reference level.- (e) Roughly sketch n and p versus x. On the same set of coordinates, make a rough sketch of the electron drift-current den- sity (JNlarik) and the electron diffusion-current density (JNidir) inside the Si sample as a function of position. Be sure to graph the proper polarity of the current densities at all points and clearly identify your two current components. Also briefly explain how you arrived at your sketch. 0 Electron [J4 EG4 (b) 3L/4 Ec EF L In (e) L E E₁ EF x
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