Determine the width (in eV) of a forbidden energy band & also Determine the width of the forbidden bandgap that exists at ka = ? (see Figure 2.1 & 2.2 ). Assume that the coefficient ?́ = 10 and the potential width is a = 6.5 Å.

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Determine the width (in eV) of a forbidden energy band & also Determine the width of the forbidden bandgap that exists at ka = ? (see Figure 2.1 & 2.2 ). Assume that the coefficient ?́ = 10 and the potential width is a = 6.5 Å.

f (aa)4
ka 3 2т
ka = 0
+1
-4
-3
aa
ka 3 Зп
ka 3 п
ka = T
Fig. 2.1: the entire f (aa) function. The shaded areas show the allowed values of (aa)
Corresponding to real values of k.
Transcribed Image Text:f (aa)4 ka 3 2т ka = 0 +1 -4 -3 aa ka 3 Зп ka 3 п ka = T Fig. 2.1: the entire f (aa) function. The shaded areas show the allowed values of (aa) Corresponding to real values of k.
E 4
Allowed!
energy
band !
! Forbidden
jenergy band
27
37
a
a
Fig. 2.2: The E versus k diagram generated from Figure 2.1. The allowed energy bands
and forbidden energy band gaps are indicated.
Transcribed Image Text:E 4 Allowed! energy band ! ! Forbidden jenergy band 27 37 a a Fig. 2.2: The E versus k diagram generated from Figure 2.1. The allowed energy bands and forbidden energy band gaps are indicated.
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