1. What is Molar Vibrational Energy of Linear Molecule?

Definition: This calculator estimates the vibrational molar energy of a linear molecule based on its atomicity and temperature.

Purpose: It helps chemists and physicists determine the vibrational energy contribution to the total internal energy of linear molecules.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• \( E_{vib} \) — Vibrational molar energy (J/mol)
• \( N \) — Atomicity (number of atoms in the molecule)
• \( R \) — Universal gas constant (8.314 J/mol·K)
• \( T \) — Temperature (Kelvin)

Explanation: For linear molecules, the number of vibrational modes is (3N-5), each contributing RT to the vibrational energy.

3. Importance of Vibrational Energy Calculation

Details: Vibrational energy is crucial for understanding molecular thermodynamics, spectroscopy, and reaction kinetics.

4. Using the Calculator

Tips: Enter the atomicity (must be ≥2 for linear molecules) and temperature in Kelvin (must be >0).

5. Frequently Asked Questions (FAQ)

Q1: Why is the formula different for linear molecules?
A: Linear molecules have one less rotational degree of freedom compared to nonlinear molecules, affecting vibrational modes.

Q2: What's the minimum atomicity for linear molecules?
A: Diatomic molecules (N=2) are the simplest linear molecules.

Q3: Does this include zero-point vibrational energy?
A: No, this calculates the classical vibrational energy contribution at temperature T.

Q4: How does temperature affect vibrational energy?
A: Vibrational energy increases linearly with temperature for classical systems.

Q5: What about nonlinear molecules?
A: For nonlinear molecules, the formula would be \( E_{vib} = ((3N) - 6) \times (R \times T) \).