Vibrational Energy Of Non-Linear Molecule Calculator

Vibrational Energy Formula:

\[ E_{vf} = ((3 \times N) - 6) \times (k_B \times T) \]

Vibrational Energy (E_vf):

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

Vibrational Energy is the total energy of the respective rotation-vibration levels of a molecule. For non-linear molecules, the number of vibrational degrees of freedom is determined by the formula (3N-6), where N is the atomicity (number of atoms) in the molecule.

2. How Does the Calculator Work?

The calculator uses the vibrational energy formula:

\[ E_{vf} = ((3 \times N) - 6) \times (k_B \times T) \]

Where:

\( E_{vf} \) — Vibrational Energy (Joules)
\( N \) — Atomicity (number of atoms in the molecule)
\( k_B \) — Boltzmann constant (1.38064852 × 10^-23 J/K)
\( T \) — Temperature (Kelvin)

Explanation: The formula calculates the vibrational energy based on the number of vibrational degrees of freedom and the thermal energy at a given temperature.

3. Importance of Vibrational Energy Calculation

Details: Calculating vibrational energy is crucial for understanding molecular spectroscopy, thermodynamics of molecular systems, and predicting molecular behavior under different temperature conditions.

4. Using the Calculator

Tips: Enter atomicity (must be at least 3 for non-linear molecules) and temperature in Kelvin. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: Why is the formula (3N-6) for non-linear molecules?
A: For non-linear molecules, there are 3 translational and 3 rotational degrees of freedom, leaving (3N-6) vibrational degrees of freedom.

Q2: What is the Boltzmann constant?
A: The Boltzmann constant (k_B) relates the average kinetic energy of particles in a gas with the temperature of the gas.

Q3: Can this calculator be used for linear molecules?
A: No, for linear molecules the formula would be (3N-5) vibrational degrees of freedom instead of (3N-6).

Q4: What are typical values for vibrational energy?
A: Vibrational energy values are typically very small, on the order of 10^-21 to 10^-20 Joules for most molecules at room temperature.

Q5: How does temperature affect vibrational energy?
A: Vibrational energy increases linearly with temperature, as shown by the direct proportionality in the formula.