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learning_phys
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Is this saying that the frequency of vibrations in a diatomic molecule is quantized?
http://hyperphysics.phy-astr.gsu.edu/Hbase/quantum/hosc.html#c1
http://hyperphysics.phy-astr.gsu.edu/Hbase/quantum/hosc.html#c1
learning_phys said:Is this saying that the frequency of vibrations in a diatomic molecule is quantized?
learning_phys said:how can energy increase if the frequency of the spring is constant?
learning_phys said:Is this saying that the frequency of vibrations in a diatomic molecule is quantized?
http://hyperphysics.phy-astr.gsu.edu/Hbase/quantum/hosc.html#c1
alphysicist said:Think back to a classical spring (align it horizontally so you can ignore gravity). If the spring constant is k and the mass is m, the frequency is constant for all oscillations. But the energy depends on the amplitude [itex]E_{\rm total}=\frac{1}{2}kA^2[/itex] (or in terms of the frequency [itex]E_{\rm total}=\frac{1}{2}m\omega^2 A^2[/itex]). So if you start the spring out by pulling it a greater distance, the energy is greater, but it still has the same frequency.
And in the quantum spring only discrete energy values are allowed, but there is still only one frequency in the model you were looking at.
learning_phys said:are you saying that in the quantum spring, the amplitude is discrete?
also, the total energy does depend on the frequency according to your equation. why do you say the frequency doesn't change?
learning_phys said:ah, i thought k was the wave number...
so regarding this link:
http://hyperphysics.phy-astr.gsu.edu/hbase/quantum/hosc6.html#c2
what exactly is 'n' for the classical model? for the quantum oscillator, n can be the energy levels that the oscillator is in, but what is n for the classical model?
learning_phys said:then the diatomic molecule does have quantized amplitudes?
Quantized vibrations in diatomic molecules refer to the discrete energy levels that are possible for the bonds between two atoms in a molecule to vibrate. These vibrations are considered quantized because they can only occur at specific energy levels, rather than a continuous range of energy.
The specific energy levels at which quantized vibrations occur are determined by the molecule's structure, specifically the types of atoms involved and the strength of the bond between them. This is because the bond's stiffness and mass affect the frequency and energy of the vibrations.
Quantized vibrations play a crucial role in understanding and predicting the behavior of diatomic molecules. They affect the molecule's spectroscopic properties, such as the absorption and emission of light, and can also influence chemical reactions and the molecule's overall stability.
Quantized vibrations can be observed using techniques such as infrared spectroscopy, which measures the absorption of infrared light by the molecule. By analyzing the specific wavelengths of light absorbed, scientists can determine the energy levels and frequencies of the molecule's vibrations.
Yes, external factors such as temperature and pressure can affect the energy levels and frequencies of quantized vibrations. This is because these factors can alter the bond strength and therefore the stiffness of the bond, leading to changes in the molecule's energy levels. Additionally, interactions with other molecules or electromagnetic fields can also influence quantized vibrations.