How do you know when the complex ion is strong field or weak field when the arrangement is octahedral? How do you choose which is better?

To determine whether a complex ion is strong field or weak field when the arrangement is octahedral, you need to consider the nature of the ligands bound to the central metal ion and their corresponding ligand field strength. The ligand field strength is defined by the amount of splitting that occurs in the d-orbital energy levels of the central metal ion.

Here are a few factors that can help you determine the strength of the ligand field:

1. Ligand Identity: Different ligands have varying abilities to interact with the d-orbitals of the metal ion. Strong field ligands, such as cyanide (CN-) or carbon monoxide (CO), cause more significant splitting of d-orbital energy levels than weak field ligands like water (H2O) or ammonia (NH3).

2. Ligand Electron Configuration: Ligands that have a strong-field effect usually contain one or more unpaired electrons in their molecular orbitals. These unpaired electrons have the ability to interact with the metal ion's d-orbitals, resulting in a stronger ligand field.

3. Crystal Field Theory (CFT): Crystal Field Theory explains the splitting of d-orbital energy levels in an octahedral complex. According to CFT, ligands approach the central metal ion along the x, y, and z axes, resulting in the splitting of the d-orbital energies into two sets: the lower-energy t2g and the higher-energy eg orbitals. If the splitting is large, it suggests a strong ligand field, while smaller splitting indicates a weak ligand field.

Regarding which type of ligand field is better, it ultimately depends on the specific application or desired outcome. In some cases, a strong field ligand may be preferred to induce a greater degree of electronic structural change or alter the magnetic properties of the complex. Conversely, weak field ligands may be preferable in situations where minimal distortion of the d-orbitals is desired. The choice of ligand field strength is highly dependent on the desired properties and applications of the complex ion.