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Atomic Structure & Periodicity

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Atomic Structure & Periodicity

Principal Quantum Number

The quantum number n that specifies the main energy level and average distance of an electron from the nucleus.

E_n = −13.6 Z² / n² eV Dimensionless
Atomic Structure & Periodicity

Proton

A positively charged subatomic particle found in the atomic nucleus, carrying a charge of +1 elementary unit.

m_p = 1.6726 × 10⁻²⁷ kg u
Atomic Structure & Periodicity

Quantum Mechanical Model

The modern description of the atom in which electrons are represented by wavefunctions giving probability distributions rather than…

Ĥψ = Eψ Dimensionless
Atomic Structure & Periodicity

Rutherford Model

The nuclear model of the atom, in which a tiny dense positive nucleus is surrounded by orbiting electrons in mostly empty space.

Dimensionless
Atomic Structure & Periodicity

Rydberg Formula

The empirical equation predicting the wavelengths of the spectral lines emitted by a hydrogen-like atom.

1/λ = R_H(1/n₁² − 1/n₂²) m⁻¹
Atomic Structure & Periodicity

s-Block Elements

The elements of groups 1 and 2, plus helium, whose outermost electrons occupy an s orbital.

ns¹ or ns² Dimensionless
Atomic Structure & Periodicity

Schrödinger Wave Equation

The fundamental equation of quantum mechanics whose solutions give the allowed energies and wavefunctions of a system.

Ĥψ = Eψ J
Atomic Structure & Periodicity

Shielding Effect

The reduction in the nuclear attraction felt by an outer electron caused by repulsion from electrons in inner shells.

Z_eff = Z − σ Dimensionless
Atomic Structure & Periodicity

Spin Quantum Number

The quantum number mₛ describing the intrinsic angular momentum of an electron, restricted to +½ or −½.

mₛ = ±½ Dimensionless
Atomic Structure & Periodicity

Successive Ionisation Energies

The series of energies required to remove electrons one after another from the same atom.

IE₁ < IE₂ < IE₃ … kJ/mol
Atomic Structure & Periodicity

Transition Element

An element whose atom or a stable ion has a partially filled d subshell.

(n−1)d¹⁻⁹ Dimensionless
Atomic Structure & Periodicity

Valence Electron

An electron in the outermost occupied shell of an atom, available for bonding.

Dimensionless