SaM - Electric Condution

• Electric conduction is a motion of electron throughout the solid due to an external field.
  This is possible if there are energy bands which are partially occupied.
  This means in other words that totally full or empty bands do not contribute to conduction.
• We will describe Electric Conduction using a semi-classic model.
  So we will describe the motion of electrons using this formula here, where:
  • $\vec{v}$ is the speed of electron.
  • $\dot{\vec{v}}$ is the derivative of the speed, so the acceleration.
  • $m_e^{\ast }$ is a mass but is not the inertial mass is the effective mass of the electron.
    Which takes into account the interaction of the moving electron, with other atoms which form the solid.
    So $m_e^{\ast }$ describes how the solids influence the motion of the electron.
  • $\vec{F}$ is the applied forces.
• Depending on the direction of this force here, maybe $m_e^{\ast }$ has to be changed.
  So pay attention because this is not a constant nor scalar quantity, actually is more like a matrix.