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De Broglie Wavelength of Hydrogen Atom

On the De Broglie wavelength of the hydrogen atom

The tiny thing must have its hidden truth. Although the hydrogen atom is tiny to small, the wonder of the De Broglie wavelength is enough to make scholars think deeply.

De Broglie's theory of creating matter waves means that everything has wave-particle duality. Hydrogen atom, which is simply an atom, electrons spin around the nucleus. The movement of electrons, according to De Broglie's theory, has the characteristics of wavelengths. The calculation of its wavelength is based on Planck's constant and is related to the momentum of the electron.

Let the electrons in the hydrogen atom have a certain energy and momentum. According to the classical theory, the electrons follow the orbit around the nucleus. However, from the quantum perspective, electrons are not confined to a certain orbit, but exist in the nucleus in a probabilistic state. This probability distribution is related to the De Broglie wave length.

When electrons are in different energy states, their momentum is different, and the De Broglie wavelength also changes. In the low energy state, the electron is near the nucleus, with less momentum and longer wavelength; in the high energy state, the electron is slightly farther from the nucleus, with larger momentum and shorter wavelength.

The spectrum of hydrogen atoms is also related to the De Broglie wavelength. When an electron transitions, it absorbs or emits photons, and the change of its energy coincides with the law of the De Broglie wavelength. The transition from a low-energy state to a high-energy state requires energy absorption, and vice versa. The exchange of energy and the change in the wavelength of the electron are all quantum wonders.

In a hydrogen atom, the behavior of electrons cannot be viewed purely in classical mechanics due to the De Broglie wavelength. Its wave characteristics make it impossible to accurately determine the position and momentum of the electron at the same time. This uncertainty principle also stems from the nature of the De Broglie wave.

The De Broglie wavelength in the hydrogen atom is one of the keys to revealing the mysteries of the microscopic world. Scholars can study the wonders of the quantum world and explore the subtleties of the nature of matter, which is of great benefit to the study of physics.