chapter 8-4spin/course/104s/solid state physics-ch8-4.… · ge: m e /m 2 = 4 x 10-4, e d = 5 mev....
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![Page 1: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/1.jpg)
Chapter 8-4
![Page 2: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/2.jpg)
P, As, Sb
![Page 3: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/3.jpg)
![Page 4: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/4.jpg)
Si has +4 valence electrons
As has +5 valence electrons
![Page 5: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/5.jpg)
![Page 6: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/6.jpg)
Ge: me/m 2 = 4 x 10-4, Ed = 5 meV.
Si: me/m 2 = 1.6 x 10-3, Ed = 20 meV.
Table 5
12 mev
45 mev
Anisotropic
mass tensor
9.05 mev
29.8 mev
![Page 7: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/7.jpg)
+ 5
![Page 8: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/8.jpg)
![Page 9: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/9.jpg)
+3
![Page 10: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/10.jpg)
![Page 11: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/11.jpg)
![Page 12: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/12.jpg)
![Page 13: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/13.jpg)
5
Ge
![Page 14: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/14.jpg)
The donors are at Ed
energy level just below Ec.
See Ashroft & Mermin , p. 581-584
![Page 15: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/15.jpg)
![Page 16: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/16.jpg)
![Page 17: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/17.jpg)
Eq. 55 divided by 54
![Page 18: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/18.jpg)
= Ju/Jq = U/e = (Q gradT ) X= QT
![Page 19: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/19.jpg)
n- and p- Si
![Page 20: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/20.jpg)
![Page 21: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/21.jpg)
![Page 22: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/22.jpg)
For electron motion in K space
Electron oscillates!
![Page 23: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/23.jpg)
For electron motion in real space
![Page 24: Chapter 8-4spin/course/104S/solid state physics-Ch8-4.… · Ge: m e /m 2 = 4 x 10-4, E d = 5 meV. Si: m e /m 2 = 1.6 x 10-3, E d = 20 meV. Table 5 12 mev 45 mev Anisotropic mass](https://reader034.vdocuments.mx/reader034/viewer/2022050100/5f3f4c3bf9dd101bae60f227/html5/thumbnails/24.jpg)