1. What is Vibrational Mode of Non-Linear Molecule?

Definition: This calculator determines the number of fundamental vibrational modes for a non-linear molecule based on its atomicity.

Purpose: It helps chemists and physicists understand the vibrational degrees of freedom in molecular systems.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( N_{vib} \) — Number of normal vibrational modes
• \( N \) — Atomicity (total number of atoms in the molecule)

Explanation: For a non-linear molecule, there are 3N-6 vibrational degrees of freedom where N is the number of atoms.

3. Importance of Vibrational Mode Calculation

Details: Understanding vibrational modes is crucial for interpreting infrared and Raman spectra, predicting molecular behavior, and studying molecular dynamics.

4. Using the Calculator

Tips: Enter the atomicity (number of atoms) in the molecule. The value must be ≥ 2 for non-linear molecules.

5. Frequently Asked Questions (FAQ)

Q1: Why is the formula different for linear molecules?
A: Linear molecules have one less rotational degree of freedom, so their formula is 3N-5.

Q2: What is the minimum atomicity for this calculator?
A: The minimum is 2 atoms (diatomic molecule), but it must be non-linear.

Q3: How are these vibrational modes observed experimentally?
A: Through techniques like infrared spectroscopy and Raman spectroscopy.

Q4: What does each vibrational mode represent?
A: Each mode represents an independent way the molecule can vibrate, including stretching and bending motions.

Q5: Why do we subtract 6 in the formula?
A: We subtract 3 translational and 3 rotational degrees of freedom (total 6) from the 3N total degrees of freedom.