Atomic structure of silicon – count of tightly bound (core) electrons In a neutral silicon atom (Z = 14), how many electrons are tightly bound in inner shells (i.e., non-valence/core electrons), as opposed to the 4 valence electrons used in bonding?
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A14
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B10
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C6
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D4
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E8
Answer
Correct Answer: 10
Explanation
Introduction:Understanding the electronic structure of semiconductors clarifies why specific elements act as donors or acceptors and how many electrons participate in bonding. Silicon is a group IV element with four valence electrons forming covalent bonds in the diamond lattice.
Given Data / Assumptions:
- Silicon atomic number Z = 14.
- Ground-state electron configuration of silicon is considered.
- Valence electrons are those in the outermost shell participating in bonding (4 for silicon).
Concept / Approach:
Silicon’s electron configuration is 1s^2 2s^2 2p^6 3s^2 3p^2. The valence shell is n = 3, with 3s^2 3p^2 totaling 4 valence electrons. The remaining electrons (1s^2 2s^2 2p^6) sum to 10 and are tightly bound core electrons that do not participate directly in bonding within the crystal under normal conditions.
Step-by-Step Solution:
Write configuration: 1s^2 2s^2 2p^6 | 3s^2 3p^2.Identify valence: 3s^2 3p^2 → 4 electrons.Compute core electrons: total 14 − valence 4 = 10 tightly bound electrons.Verification / Alternative check:
Periodic table position (group IV) corroborates 4 valence electrons; spectroscopic data confirm inner shells are fully occupied and tightly bound.
Why Other Options Are Wrong:
14 counts all electrons; 6 or 8 do not match the shell filling; 4 is the number of valence electrons, not core electrons.
Common Pitfalls:
Confusing valence with total electron count; overlooking that 2s and 2p electrons are core for silicon.
Final Answer:
10