answersLogoWhite

0


Best Answer

Molecular vibrations are one of the ways in which a molecule stores chemical energy. For a diatomic molecule, the vibrational can be approximated by the quantum harmonic oscillator. The vibrational energy Ev is Ev = (v + 1/2)hv0 where v is an integer representing vibrational quantum numbers such that v = 0,1,2,3,..., where v=0 for a diatomic molecule at the ground vibrational state; h is Planck's constant; and v0 is the natural frequency of the harmonic oscillator.

User Avatar

Wiki User

14y ago
This answer is:
User Avatar

Add your answer:

Earn +20 pts
Q: Write the vibrational energy equation which contributes to the internal energy of a molecule?
Write your answer...
Submit
Still have questions?
magnify glass
imp
Related questions

What is a form of kinetic energy that occurs within a molecule when the bonds are stretched or bent a translational b rotational c vibrational d internal?

Vibrational.


Calculate the first two vibrational energy levels a diatomic molecule?

The vibrational energy of a diatomic molecule can be approximated by extension of the quantum harmonic oscillator. The vibrational energy, Ev, is then Ev = (v + 1/2)hv0 where v is an integer representing vibrational quantum numbers such that v = 0,1,2,3,..., where v=0 for a diatomic molecule at the ground vibrational state; h is Planck's constant; and v0 is the fundamental vibrational frequency. For this problem then, you would need the fundamental vibrational frequency of the particular diatomic atom, and then simply calculate Ev for v=1, and v=2.


How does the spectrum of a molecule differ from spectrum of a atom?

A molecule has additional spectral lines due to changes in its rotational and vibrational energies.


Can molecule have zero vibrational energy?

No. From what I understand, the Uncertainty Principle won't allow this - so even at absolute zero (a temperature that can't really be achieved 100%), there will still be some vibrational energy left.


The molecule referred to as ''molecule A'' in the equation above is?

The one labelled "molecule A".


How fast does a molecule have to vibrate to create the color red?

Visible spectra are associated with electron energy state transitions; vibrational modes show up in the infrared. If you're asking about black body radiation then you can use the Maxwell-Boltzmann equation to calculate the temperature.


Why are some vibrational modes of benzene IR inactive?

Some vibrational modes of benzene involve a change in electric dipole moments. These are IR active modes. Some vibrational modes have no net change in dipole moment (which is true for most of the modes since benzene is a planar symmetrical molecule) when they stretch, so they are IR inactive. There are 30 vibrational modes for benzene altogether, 8 of which are IR active. Some vibrational modes of benzene involve a change in electric dipole moments. These are IR active modes. Some vibrational modes have no net change in dipole moment (which is true for most of the modes since benzene is a planar symmetrical molecule) when they stretch, so they are IR inactive. There are 30 vibrational modes for benzene altogether, 8 of which are IR active.


How fundamental vibrational frequency and force constant can be calculated in infrared spectroscopy?

I think you need the equation: We = 1 / (2(pi)c) x (k/u)^0.5 where We = vibrational frequency in wavenumbers (cm^-1), pi = 3.142, c = speed of light (2.998 x 10^10cms^-1), k = force constant (Nm^-1) and u = reduced mass (Kg) u = m1m2 / (m1 + m2) where m1 and m2 are the respective masses in the diatomic molecule. Using this equation you can find frequency when you have the force constant, and vice versa by rearranging the equation. Hope that helps.


What is the types of motion?

Three types of motion of interest in thermodynamics are all related to the internal energy of molecules: translational (movement of molecules from one place to another through space) vibrational (oscillation of molecules in a molecular bond) rotational (spinning of a the atoms in a molecules around an axis of the molecule)


What is types of motion?

Three types of motion of interest in thermodynamics are all related to the internal energy of molecules: translational (movement of molecules from one place to another through space) vibrational (oscillation of molecules in a molecular bond) rotational (spinning of a the atoms in a molecules around an axis of the molecule)


How does the shape of the water molecule contributes to its solvent properties?

The cause is the polar character of water molecule.


What are coeffients in a chemical equation?

The amount of each molecule