Solution:
In semiconductors at room temperature, the behavior of electrons across the valence and conduction bands is crucial for understanding their electrical properties. Let's clarify the options given and identify the correct answer:
Option A: the valence band is completely filled
At absolute zero temperature, the valence band is indeed completely filled with electrons, and the conduction band is empty. However, at room temperature, thermal energy excites some electrons from the valence band to the conduction band, creating holes (absence of electrons) in the valence band. Thus, while the valence band may still be considered "full" in a broader sense, it's more accurate to say it contains holes due to the excitation of electrons.
Option B: the conduction band is completely filled
This is incorrect for semiconductors at room temperature. The conduction band becomes partially filled due to electron excitation from the valence band, but it is not completely filled under normal conditions.
Option C: the condition band is partially filled and valence band is partially empty
This statement introduces a misunderstanding. While the concept of the conduction band being partially filled is correct, saying the valence band is "partially empty" might be misleading. The valence band is less than fully occupied due to the presence of holes, but it's a result of electron movement, not an inherent emptiness.
Option D: the valence band is completely filled and the conduction band is partially filled
This option might seem correct at a glance, but it misrepresents the state of the valence band at room temperature. The valence band has holes (unoccupied states) due to electrons being excited to the conduction band, which contradicts the notion of being "completely filled."
Correct Understanding
At room temperature, semiconductors have their valence band almost filled with some electrons excited to the conduction band, creating holes in the valence band. The conduction band is partially filled with these excited electrons. This scenario is crucial for the semiconductor's ability to conduct electricity, as both the excited electrons in the conduction band and the holes left behind in the valence band contribute to electrical conduction.
Given the explanations, the precise wording should reflect that the valence band has electrons but also contains holes due to thermal excitation, and the conduction band is partially filled with these excited electrons. The options provided do not perfectly capture this nuanced state. However, understanding semiconductors involves recognizing the excitation of electrons from the valence to the conduction band, leaving the valence band less than fully occupied (due to holes) and the conduction band partially occupied by electrons at room temperature.
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