a little help please? Anyone?

can someone explain to me the trend in radii of

O2-, F-, Na+, and Mg+

Of course! I can help you with that.

The trend in radii of ions in the periodic table can be explained by the concept of effective nuclear charge and the periodic trend of atomic size.

Effective nuclear charge is the net positive charge experienced by the valence electrons in an atom. It influences the attraction between the electrons and the nucleus. As we move across a period from left to right in the periodic table, the atomic number (and therefore the number of protons in the nucleus) increases. This increases the effective nuclear charge, resulting in stronger attraction to the valence electrons and a decrease in atomic size.

In the case of oxygen (O) and fluoride (F), both are in Group 16 (Group VIA) of the periodic table. When these elements gain an electron to form O2- and F- ions respectively, they have a greater number of electrons and experience stronger electron-electron repulsion. This repulsion causes the electron cloud to expand, making the ions larger than their respective atoms. Among these two ions, O2- has a larger radius than F- due to the higher effective nuclear charge experienced by fluorine.

Sodium (Na) and magnesium (Mg) on the other hand are in Group 1 (Group IA) and Group 2 (Group IIA), respectively. When they lose electrons to form Na+ and Mg+ ions, the loss of the outermost electrons results in a decrease in electron-electron repulsion. This contraction of the electron cloud leads to a smaller radius compared to their respective atoms. Among these two ions, Mg+ has a smaller radius than Na+ due to the increased effective nuclear charge experienced by magnesium.

In summary, the trend in radii of O2-, F-, Na+, and Mg+ ions goes as follows:

O2- > F- > Na+ > Mg+

I hope this explanation helps! Let me know if you have any further questions.