## Proceedings of the International School of Physics "Enrico Fermi.", Volume 22N. Zanichelli, 1963 - Nuclear physics |

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Page 483

(0) - EniO) The form (2.13') of the expression we have derived for the

between bands. This interaction is governed by the momentum matrix elements p

„„(k0) ...

(0) - EniO) The form (2.13') of the expression we have derived for the

**effective****mass**leads one to talk of the**effective mass**being produced by an interactionbetween bands. This interaction is governed by the momentum matrix elements p

„„(k0) ...

Page 484

This means that for the upper band, the interaction term increases the inverse

with k ...

This means that for the upper band, the interaction term increases the inverse

**effective mass**over the inverse free mass, so that the interaction leads to an**effective mass**smaller than the free electron mass. Hence the energy increaseswith k ...

Page 485

It is clear from our definition of the inverse

related to (S-l^kclckp)En(k) evaluated at the band edge: However, if the right side

of (2.17) is evaluated at any other value of k, we obtain a value which differs ...

It is clear from our definition of the inverse

**effective mass**tensor in (2.13') that it isrelated to (S-l^kclckp)En(k) evaluated at the band edge: However, if the right side

of (2.17) is evaluated at any other value of k, we obtain a value which differs ...

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absorption acceptor approximation assumed band edge band structure Brillouin zone calculated carrier centre charge Chem coefficient components compound concentration conduction band consider constant corresponding crystal curves cyclotron resonance degenerate density diffusion direct transition discussed donor doping effective mass electric field energy gap energy surfaces equation equilibrium example exciton experimental expression Faraday rotation foreign atoms free electron frequency germanium given hence holes imperfections impurity indium antimonide InSb interaction interband ionization ions Journ lattice levels linear liquid magnetic field matrix measurements melt mobility momentum obtained optical p-type phonon Phys potential pressure quantum range reciprocal lattice region samples scattering semiconductors shown in Fig spherical spin spin-orbit structure elements symmetry tensor theory thermodynamic thermodynamic potentials tion transverse valence band valley Voigt effect wave functions wave vector Zeeman effect zero zone