Order the following ions from smallest to largest: Mg2+, O2-, F-, Na+.

검증된 단계별 안내

Identify the ions and their electron configurations: Mg^{2+}, O^{2-}, F^-, Na^+.

Recognize that all these ions are isoelectronic, meaning they have the same number of electrons.

Determine the electron configuration for each ion: all have the electron configuration of Ne, 1s^2 2s^2 2p^6.

Understand that the size of isoelectronic ions is determined by the nuclear charge: the more protons, the smaller the ion.

Order the ions based on increasing nuclear charge: O^{2-} (8 protons), F^- (9 protons), Na^+ (11 protons), Mg^{2+} (12 protons).

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주요 개념

질문에 올바르게 답하기 위해 반드시 이해해야 하는 핵심 개념들은 다음과 같습니다.

Ionic Radius

Ionic radius refers to the size of an ion in a crystal lattice. Cations, like Mg2+, are smaller than their neutral atoms due to the loss of electrons, which reduces electron-electron repulsion and allows the remaining electrons to be pulled closer to the nucleus. Conversely, anions, such as O2- and F-, are larger than their neutral counterparts because the addition of electrons increases repulsion among them, leading to a larger radius.

Effective Nuclear Charge

Effective nuclear charge (Z_eff) is the net positive charge experienced by an electron in a multi-electron atom. It accounts for the shielding effect of inner electrons that reduces the full nuclear charge. Ions with a higher Z_eff will generally have a smaller radius because the increased attraction between the nucleus and the electrons pulls them closer, resulting in a smaller ionic size.

Trends in Ionic Size

Ionic size trends can be observed in the periodic table, where cations decrease in size across a period due to increasing nuclear charge, while anions increase in size. Additionally, within a group, ionic size increases down the group due to the addition of electron shells. Understanding these trends is essential for comparing the sizes of different ions, such as Mg2+, O2-, F-, and Na+.