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Direct Energy, 2018a

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114 6.3 Semiconductors and <strong>Energy</strong> Level Diagrams<br />

levels broaden. Second, some electrons get excited to higher energy levels<br />

and quickly, perhaps in a few microseconds, decay back down.<br />

6.3.3 Denitions of Conductors, Dielectrics, and Semiconductors<br />

Conductors, dielectrics, and semiconductors were dened in section 1.5.1.<br />

Now that we have seen example energy level diagrams, we should revisit<br />

these denitions as well as dene the term semimetal. In the presence of an<br />

applied external voltage, electric eld, optical eld, or other energy source,<br />

valence electrons ow easily in a conductor [10, p. 429] [11, ch. 4]. In a<br />

conductor, the conduction band is partially lled with electrons, so there<br />

are many available energy states for electrons remaining in the conduction<br />

band. With just a little bit of external energy, possibly even from vibrations<br />

that naturally occur at T>0 K, valence electrons ow easily. Inner shell<br />

electrons can be ripped o their atoms and ow, but signicantly more<br />

energy is needed to ripo inner shell than valence electrons.<br />

In the presence of an applied external voltage, electric eld, optical eld,<br />

or other energy source, electrons do not ow easily in an insulator [10, p.<br />

429] [11, ch. 4]. The valence band is lled and the conduction band is<br />

empty. The energy gap between valence band and conduction band in an<br />

insulator is typically above 3 eV. A little heat or energy from vibrations is<br />

not enough to excite an electron from one allowed energy state to another.<br />

If a large enough external source of energy is applied, though, an electron<br />

can be excited or ripped o of an insulator.<br />

In Sec. 3.3, electro-optic materials were discussed. Some insulators<br />

are electro-optic which means that in the presence of an external electric<br />

or optical eld, the spatial distribution of electrons changes slightly which<br />

cause a material polarization to build up. Photons of the external electric<br />

or optical eld in this case do not have enough energy to excite electrons<br />

in the insulator, so the internal momentum of electrons in the material<br />

does not change. The electro-optic eect occurs in insulators and involves<br />

external energies too small to excite electrons from one allowed energy state<br />

to another while the aects discussed in Sec. 6.3 involve semiconductors<br />

and external energies large enough to excite electrons from one energy level<br />

to another.<br />

At T = 0 Kina semiconductor, the valence band is full, and the<br />

conduction band is empty. The energy gap of a semiconductor is small, in<br />

the range 0.5 eV E g 3 eV. In the presence of a small applied voltage,<br />

electric eld, or optical eld, a semiconductor acts as an insulator. In the<br />

presence of a large applied voltage or other energy source, a semiconductor

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