10.1
Grundlagen der Halbleitertechnik
Isolierte Atome haben diskrete Energieniveaus, die durch das Bohr-Modell gut beschrieben werden. Und es quantifiziert die Energie eines Elektrons in e…
Festkörper bestehen aus Atomen mit unterschiedlichen elektronischen Konfigurationen und Energieniveaus.
Wenn zwei identische isolierte Atome nahe zusammengebracht werden, führt ihre Wechselwirkung dazu, dass sich jedes Energieniveau in zwei unterschiedliche Niveaus aufspaltet.
Diese Aufspaltung ist eine Folge des Pauli-Ausschlussprinzips, das besagt, dass keine zwei Elektronen in einem Atom gleichzeitig den gleichen Energiezustand einnehmen können.
Werden mehrere Atome zu einem Festkörper zusammengeführt, spalten sich die Energieniveaus zu einem kontinuierlichen Band auf. Im interatomaren Gleichgewichtsabstand spaltet sich das Band in das Valenzband und das Leitungsband.
Bei Temperaturen zum absoluten Nullpunkt umfasst das Valenzband die Energieniveaus, die mit Elektronen gefüllt sind.
Oberhalb des Valenzbandes liegt das Leitungsband, das freie Energieniveaus enthält.
Die Energielücke zwischen diesen beiden Bändern wird als Bandlücke bezeichnet. Sie stellt die Energiedifferenz zwischen der Oberseite des Valenzbandes und der Unterseite des Leitungsbandes dar.
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Q1: Why do energy levels split when atoms are brought together in a solid?
Energy levels split due to the Pauli exclusion principle, which states that no two electrons can occupy the same energy state simultaneously. When atoms approach each other, their electron orbitals overlap, forcing electrons into different energy states. As more atoms combine, splitting becomes so fine that discrete levels merge into continuous energy bands.
Q2: What is the difference between the valence band and conduction band?
The valence band contains energy levels filled with electrons at absolute zero temperature, while the conduction band sits above it with vacant energy levels. The energy gap between these two bands is called the band gap. This gap determines how easily electrons can be excited into the conduction band for electrical conduction.
Q3: How does the band gap affect semiconductor electrical properties?
The band gap size is crucial because it determines how easily electrons transition into the conduction band. In semiconductors, the band gap is small enough that thermal energy or light can excite electrons across the gap, resulting in electrical conduction. This property distinguishes semiconductors from insulators and conductors.
Q4: What role do valence electrons play in silicon's electrical properties?
Silicon has four valence electrons in its 3s and 3p subshells that determine its chemical and electrical properties. These electrons form bands when silicon atoms create a crystal lattice. The valence band contains 4N states and the conduction band contains 4N states, where N is the number of silicon atoms.
Q5: How many energy states exist in semiconductor bands?
In semiconductors like silicon, the valence band and conduction band each contain 4N energy states, where N represents the number of atoms in the crystal. This large number of states creates the continuous band structure. At equilibrium interatomic spacing, these bands form from overlapping 3s and 3p subshells.
Q6: Why do inner electrons in silicon not contribute to electrical conduction?
Silicon's inner 10 electrons occupy deep-lying energy levels that remain filled and do not participate in bonding or conduction. Only the four valence electrons in the 3s and 3p subshells contribute to the material's electrical properties. These valence electrons form the bands responsible for carrier generation and recombination in semiconductor devices.
Q7: What happens to discrete energy levels as more atoms combine in a solid?
As more atoms combine, the number of discrete energy levels increases exponentially, and the splitting between them becomes so fine that individual levels merge into continuous energy bands. At equilibrium interatomic distance, these bands separate into the valence band and conduction band. This band formation is fundamental to understanding semiconductor behavior.