Does this formula exist? (ν' = En/hc)

In summary, the formula ν' = En/hc, also known as the Rydberg formula, represents the relationship between the energy levels and frequency of an electron in a hydrogen atom. It is derived from the Bohr model of the atom and the Balmer series and can be applied to other one-electron systems. The formula is significant in understanding atomic energy levels and spectral lines, and has played a role in the development of quantum mechanics. However, it is limited in its accuracy for more complex atoms and at high energies.
  • #1
Fibi
3
0
ν' = En/hc ?

ν' is the wavelenght's number (in electromagnatique radiation)

where ν' = 1/λ

if so, how do we get it ?
 
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  • #2
never mind, we get it from Eisnteins's formula E=hc/λ
 

1. What does the formula ν' = En/hc mean?

The formula ν' = En/hc is known as the Rydberg formula and it represents the relationship between the energy levels (En) and the frequency (ν') of an electron in a hydrogen atom. It is used to calculate the spectral lines of hydrogen and other elements.

2. How is the formula derived?

The Rydberg formula is derived from a combination of the Bohr model of the atom and the Balmer series. By equating the energy of an electron in the Balmer series to the energy of an electron in the Bohr model, we can derive the formula ν' = En/hc.

3. Is the formula only applicable to hydrogen atoms?

No, the Rydberg formula can be applied to any one-electron system, such as singly ionized helium or lithium. However, it is most commonly used for hydrogen as it was originally developed for this element.

4. What is the significance of the formula?

The Rydberg formula is significant because it helps us understand the energy levels and spectral lines of atoms. It also played a crucial role in the development of quantum mechanics and our understanding of the structure of the atom.

5. Are there any limitations to the formula?

The Rydberg formula is accurate only for the spectral lines of hydrogen and other one-electron systems. It does not take into account the effects of electron-electron interactions and is therefore not accurate for more complex atoms. Additionally, it does not account for relativistic effects at high energies.

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