The vibrational degrees of freedom of the benzene molecule and explain why

Vibrational Degrees of Freedom In analytical chemistry, the number of fundamental vibrations of a molecule, or the number of independent vibrations.

The motion of a molecule consists of three parts: translation, rotation, and vibration. Translational can be thought of as the centroid of a molecule in space.

The change in position, rotation can be seen as a change in the orientation of the molecule in space, and vibration can be seen as the sum of the molecules in its center of mass.

The change in the relative position of the atoms in a molecule when the spatial orientation does not change. For a molecule with an atomic number n.

said, with a total of 3n degrees of freedom of motion, 3 spatial coordinates are needed to determine the position of the centroid of this molecule, and if this molecule is non-linear, 3 coordinates are needed to determine the orientation of the molecule in space; If it's straight.

Line molecules, 2 coordinates can determine the orientation of the molecule in space. Therefore, 6 coordinates are required to determine the nonlinearity.

The translational and rotational degrees of freedom of the molecule, 5 coordinates determine the translational and rotational degrees of freedom of the linear molecule. In the OK.

After the number of translational and rotational degrees of freedom of the molecule, what remains is the vibrational degrees of freedom of the molecule.

As can be seen from the above discussion, a nonlinear molecule has 3n-6 vibrational degrees of freedom, linear fractions.

The sub has 3n-5 vibrational degrees of freedom. Each vibrational degree of freedom represents an independent way of vibrating and is called Jane.

Normal modal. In the normal mode, the centroid and spatial orientation of the molecule remain the same, each.

The atoms vibrate near the equilibrium position at the same frequency while passing through the equilibrium point. The simple mode is the most basic of the molecule.

Ben's way of vibrating.

Molecular vibration refers to the telescopic vibration between atoms, and in the study of molecular vibration, the chemical bonds between atoms are regarded as springs with negligible mass. It can be approximated as a simple harmonic vibration of a harmonic oscillator. The position of the atom varies with time according to the sine or cosine law.

The vibrational degrees of freedom are the number of the basic vibrations of the molecule, that is, the number of independent vibrations of the molecule. The vibrational degrees of freedom refer to the motion of molecules consisting of three parts: translation, rotation and vibration. Translational motion can be regarded as the change of the position of the centroid of the molecule in space, rotation can be regarded as the change of the orientation of the molecule in space, and vibration can be seen as the change of the relative position of the atoms in the molecule when the centroid and spatial orientation of the molecule remain unchanged.

The nonlinear molecular vibrational degrees of freedom are 3n-6

The linear molecular vibrational degrees of freedom are 3n-5

The vibrational degrees of freedom of benzene are 36-6=30

31 Linear molecular vibrational degrees of freedom 3n-6

Nonlinear molecular vibrational degrees of freedom 3n-5

n = number of atoms (s and o are not counted)].

This is to see the atoms in the molecule as rigid balls, and the chemical bonds between them can be stretched and bent like springs... I didn't understand the latter question too much, but there was a visual inspection, and I hope to add