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  • How Electrons Are Distributed Within an Atom’s Shells

    By Michael E Carpenter, Updated Aug 30, 2022

    Electrons are negatively charged subatomic particles that occupy discrete energy levels—often visualized as shells—surrounding the atomic nucleus. A shell must be filled before an electron can move to a higher energy level. The capacity of each shell differs, and the actual electron distributions deviate from simple circular orbits.

    Electrons per Shell

    The first shell can hold up to two electrons; hydrogen (1 e⁻) and helium (2 e⁻) have only this shell. The second shell accommodates eight electrons, the third 18, and the fourth 32.

    Sub‑Shells

    Within each shell, sub‑shells—denoted s, p, d, and f—represent finer energy divisions. The s sub‑shell holds two electrons; p holds six; d holds ten; f holds fourteen. Each successive sub‑shell can hold four more electrons than the previous one.

    Sub‑Shell Notation

    The electron configuration of an atom is written as a sequence of shell number, sub‑shell letter, and electron count. For example, boron (5 e⁻) is described as 1s² 2s² 2p¹, indicating two electrons in the first shell’s s sub‑shell, two in the second shell’s s sub‑shell, and one in the second shell’s p sub‑shell.

    Sub‑Shell Shape

    The probability density shapes differ among sub‑shells. s sub‑shells are spherical; p sub‑shells resemble dumbbells. Each p orbital can host two electrons, so a full p sub‑shell contains three such orbitals, totaling six electrons.

    Electron Cloud

    Electrons do not follow fixed circular paths; instead, they exist as a probability cloud. In an s sub‑level, the two electrons occupy a spherical region, but they can be found anywhere within that volume at any instant. Quantum mechanics allows the electron to exist beyond the classical boundary, creating a diffuse cloud of probability that applies to all sub‑shells.

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