explain the trends in periodic table and diagonal relationship in the periodic table

A diagonal relationship is said to exist between certain pairs of diagonally adjacent elements in the second and third periods of the periodic table. These pairs (lithium (Li) and magnesium (Mg), beryllium (Be) and aluminium (Al), boron (B) and silicon (Si) etc.) exhibit similar properties; for example, boron and silicon are both semiconductors, forming halides that are hydrolysed in water and have acidic oxides.

Such relationship occurs because crossing and descending the periodic table have opposite effects. On moving across a period of the periodic table, the size of the atoms decreases, and on moving down a group the size of the atoms increases. Similarly, on moving across the period, the elements become progressively more covalent, less basic and more electronegative, whereas on moving down the group the elements become more ionic, more basic and less electronegative. Thus, on both descending a group and crossing the period by one element, the changes "cancel" each other out, and elements with similar properties which have similar chemistry are often found – the atomic size, electronegativity, properties of compounds (and so forth) of the diagonal members are similar.

It is found that the chemistry of a first-row (second period) element often has similarities to the chemistry of the second-row (third period) element being one column to the right of it in the Periodic Table. Thus, the chemistry of Li has similarities to that of Mg, the chemistry of Be has similarities to that of Al, and the chemistry of B has similarities to that of Si. These are called diagonal relationships (NB: It is not as noticeable after B and Si). The reasons for why diagonal relationships exist are not fully understood, but charge density is a factor. For example, Li⁺ is a small cation with a +1 charge and Mg²⁺ is somewhat larger with a +2 charge, so the charge density on each ion is roughly the same. Using the Li–Mg pair:(under room temperature and pressure)

1. Li and Mg form only normal oxides whereas Na forms peroxide and metals below Na, in addition, forms superoxide.
2. Li is the only Group 1 element which forms a stable nitride, (Li₃N).^[1] Mg, as well as other Group 2 elements, also form nitrides.^[1]
3. Lithium carbonate, phosphate and fluoride are sparingly soluble in water. The corresponding Group 2 salts are insoluble. (Think lattice and solvation energies).
4. Both Li and Mg form covalent organometallic compounds. LiMe and MgMe₂ (cf. Grignard reagents) are both valuable synthetic reagents. The other Group 1 and Group 2 analogues are ionic and extremely reactive (and hence difficult to manipulate).^[2]