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Chapter 8-4

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

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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

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

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
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

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
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

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

+ 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
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

+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
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
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
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

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

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
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
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

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

= 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

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
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
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

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

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