Atomic size is defined by the distance from the nucleus to the outermost electron shell. As one moves down a group in the periodic table, the principal quantum number (n) increases, adding new electron shells. This increase in the number of shells results in a larger atomic radius, a trend that holds true for both the alkali metals in Group 1 and the halogens in Group 17.

Atomic radius generally decreases across a period from left to right due to increasing effective nuclear charge. Lithium (Li) is in Period 2, Group 1, while Oxygen (O) and Fluorine (F) are further to the right in the same period. Hydrogen (H) is in Period 1. Therefore, Lithium has the largest atomic radius among these choices.

Van der Waals' radius is defined as half the distance between the nuclei of two non-bonded atoms in adjacent molecules. Because it involves weak intermolecular forces rather than chemical bonds, it is significantly larger than covalent or metallic radii, which involve closer electron sharing or delocalization.

Atomic radius generally increases down a group in the periodic table. Since potassium (K) is located in the fourth period and sodium (Na) is in the third period, potassium has an additional electron shell, resulting in a larger atomic radius.

Atomic volume generally decreases across a period due to increasing effective nuclear charge pulling electrons closer. Helium (He) is in the first period and has the smallest principal quantum number (n=1), resulting in a significantly smaller atomic radius and volume compared to P, S, and Si in the third period.

Ionic bonds form when there's a significant electronegativity difference between atoms. A difference greater than 1.7 indicates a large disparity in electron-attracting ability, leading to electron transfer and the formation of ions.

Ionic crystals typically exhibit compound forming properties due to the electrostatic attraction between positively and negatively charged ions, resulting in the formation of a stable crystal lattice.

The solubility of mineral salts in water depends on their ionic sizes and the nature of the ions. Among the given options, MgSO4 (Epsom salt) has smaller ions, which allows it to dissolve more easily in water, making it the most soluble mineral salt in water.

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An ionic bond is formed when one atom completely transfers its electrons to another atom, resulting in the formation of ions with opposite charges. This transfer of electrons is essential for the formation of an ionic bond, which holds the atoms together.