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3.   Classify the solids into conductor, semiconductor and insulators based on band theory.
     Conductors
     In a conductor there are no band gaps between the valence and conduction bands. In some metas the
     conduction and valence bands partially overlap. This mcans that clectrons can move freely between
     the valence band and the conduction band. The conduction band is only partially fillcd. This means
     there are spaces for electrons to move into. When electrons for the valence band move into the
     conduction band, they are free to move. This allows conduction.
                          Partially filled conduction band
                                  Overlap (no band gap)
                                           Valence band
     Insulators
     An insulator has a large gap betwcen the valence band and the conduction band. The valence band is
     fiull as no elect   can   mote       nt            conduction hand As a result the conduetion bond ie ennty
    Semiconductors
    In a semiconductor, the gap between the valence band and conduction band is smaller. At room
    temperature there is sufficient encrgy available to move some electrons from the valence band into
    the conduction band. This allows some conduction to take place. An increase in temperature increases
    the conductivity of a scmiconductor because more clectrons will have enough energy to move into the
    conduction band. The difference betwcen insulators and semiconductors is due to a small amount of
    impurity added to a semiconductor which affects the energy bands. This process is called doping.
                              Electrons can move
                               to conduction band
                                 Smaller band gap
                                   Semiconductor
4   What is intrinsic semiconductor, explain the formation extrinsic semiconductors through
    doping and derive the expression for intrinsic carrier concentration.
    Semiconductors that are chemically purc, in other words, frece from impurities are termed as intrinsic
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                                             Valence band
        Insulators
        An insulator has a large gap between the valence band and the conduction band. The valence band is
        full as no clectrons can move up to the conduction band. As a result, the conduction band is empty.
        Only the clectrons in a conduction band can move casily, so because there aren't any clectrons in an
        insulator's conduction band, the material can't conduct.
                            Conduction band (empty)
                                        Valence band