The chemical formula for simple ferrites is:

Explanation:

The Chemical Formula for Simple Ferrites

Definition: Ferrites are ceramic compounds composed of iron oxide (Fe₂O₃) combined with other metal oxides. They are magnetic in nature and are widely used in electronics, such as inductors, transformers, and antennas. Ferrites have the general chemical formula Me²⁺Fe₂³⁺O₄, where Me²⁺ represents a divalent metal ion like manganese (Mn), zinc (Zn), nickel (Ni), or magnesium (Mg).

Correct Answer: Option 3 - Me²⁺Fe₂³⁺O₄

The correct formula for simple ferrites is Me²⁺Fe₂³⁺O₄. This formula represents a mixture of divalent metal ions (Me²⁺) and trivalent iron ions (Fe³⁺) in a lattice structure with oxygen ions (O^2-).

Explanation of Ferrite Structure:

Ferrites are classified as spinel structures, which means they have a specific arrangement of ions in a cubic crystal lattice. The general chemical formula of spinel ferrites is:

Me²⁺Fe₂³⁺O₄

Here, Me²⁺ is a divalent metal ion that can include elements like manganese (Mn), zinc (Zn), nickel (Ni), magnesium (Mg), etc. The structure contains:

• Divalent Metal Ions (Me²⁺): These occupy specific positions in the crystal lattice.
• Trivalent Iron Ions (Fe³⁺): These are also present at specific lattice sites, contributing to the magnetic properties of ferrites.
• Oxygen Ions (O^2-): These form a framework around the metal ions, maintaining the structure's stability.

The magnetic properties of ferrites arise from the alignment of magnetic moments in the lattice. Ferrites are typically categorized into two types:

• Soft Ferrites: These have low coercivity and are used in applications like transformer cores and inductors.
• Hard Ferrites: These have high coercivity and are used in permanent magnets.

Applications of Ferrites:

• Used in magnetic cores of transformers, inductors, and antennas.
• Key materials in the manufacturing of permanent magnets.
• Used in electromagnetic interference (EMI) suppression devices.
• Widely employed in microwave devices and communication systems.

Additional Information on the Correct Option:

The formula Me²⁺Fe₂³⁺O₄ accurately represents the composition of simple ferrites. The divalent metal ion (Me²⁺) contributes to the electrical and magnetic properties, while the trivalent iron ions (Fe³⁺) are essential for the ferrimagnetic behavior. Oxygen ions (O^2-) play a crucial role in holding the structure together.

Important Information

To further understand the analysis, let’s evaluate the other options:

Option 1: Me²⁺Fe₂³⁺O₂

This option is incorrect because the formula does not represent the correct stoichiometry of ferrites. Ferrites have a specific ratio of metal ions to oxygen ions, and the formula Me²⁺Fe₂³⁺O₂ fails to satisfy this ratio.

Option 2: Me³⁺Fe₂²⁺O₄

This option is incorrect because it reverses the valencies of the metal ions. In ferrites, the divalent metal ion (Me²⁺) is combined with trivalent iron ions (Fe³⁺), not the other way around.

Option 4: Me₂ + Fe₃ + O₄

This option is incorrect as it does not represent a proper chemical formula. The correct formula should include the charges of the ions and follow the stoichiometric rules of chemical compounds.

Option 5: No formula provided

This option is incorrect as it does not provide any formula for analysis.

Conclusion:

The correct formula for simple ferrites is Me²⁺Fe₂³⁺O₄, as represented in Option 3. This formula accurately reflects the chemical composition and structure of ferrites, which are essential materials in various electronic and magnetic applications. Understanding the correct stoichiometry and arrangement of ions in ferrites is crucial for their effective application in technology and industry.