Bilingual edition: English is preserved and Chinese follows each unit. Terminology uses the confirmed v20260916 glossary; automated semantic review remains traceable.
中英双语版:英文原文完整保留,中文紧随对应单元;术语采用 v20260916 确认表,自动语义审校结果可追溯。

Electron Waves and Orbits

电子波与轨道
Asking why electrons can exist only in some states and not in others is similar to asking how your guitar string knows what pitch to produce when you pluck it. It is a standing wave phenomenon and has to do with resonance

Visualization of waves and orbits

波和轨道的可视化

Waves and orbit radii

波与轨道半径

String waves

弦波
问电子为何只能存在于某些状态而不能存在于其他状态,就如同问你的吉他弦在被拨动时为何知道要发出什么音调。这是一种驻波现象,与共振有关。
Index

Bohr model concepts
索引:玻尔模型概念
 
HyperPhysics***** Quantum Physics
HyperPhysics ***** 量子物理
R Nave
Go Back
返回





Electron Wavelengths and Bohr Orbit Radii

电子波长和玻尔轨道半径
The Bohr orbit radius goes up with the square of the principal quantum number n. For orbit n, there are n wavelengths of the electron wave, and these wavelengths are n x the wavelength of orbit n=1.

Visualization of waves and orbits
波和轨道的可视化
Hydrogen orbits
氢原子轨道
玻尔轨道半径随主量子数n的平方增大而增大。对于第n个轨道,电子波有n个波长,这些波长是第n个轨道波长的n倍。
Index

Bohr model concepts
索引:玻尔模型概念
 
HyperPhysics***** Quantum Physics
HyperPhysics ***** 量子物理
R Nave
Go Back
返回





Visualization of Electron Waves

电子波的可视化

The electron waves for the first three Bohr orbits are visualized here, depicting the waves as meeting a kind of resonance condition so that the continuing waves interfere constructively with each under these conditions. The numbers apply to the hydrogen orbits.

这里展示了电子波在前三个玻尔轨道中的情况,这些波满足某种共振条件,使得在这些条件下,持续的波能够相互 constructive 干涉。这些数字适用于氢原子的轨道。

Electron waves

电子波
Index

Bohr model concepts
索引:玻尔模型概念
 
HyperPhysics***** Quantum Physics
HyperPhysics ***** 量子物理
R Nave
Go Back
返回





The Line Spectrum Problem

线谱问题

In the years before the beginning of the 20th century, the light emitted from luminous gases was found to consist not of a continuous range of wavelengths, but of discrete colors which were different for different gases. These spectral "lines" formed regular series and came to be interpreted as transitions between atomic energy levels. This presented a considerable problem for classical physics, because accelerated charges were known to radiate electromagnetic energy. It was expected that orbits of electrons about positive nuclei would be unstable because they would radiate energy and therefore spiral into the nucleus. No classical model could be found which would yield stable electron orbits.

20世纪初之前几年,人们发现发光气体发出的光不包含连续的波长范围,而是由不同气体具有不同颜色的离散谱线组成。这些谱线形成了规律的系列,并被解释为电子与原子能级之间的跃迁。这给经典物理提出了重大问题,因为已知加速电荷会辐射电磁能量。人们预期电子围绕正核运动的轨道会不稳定,因为它们会辐射能量并螺旋式地陷入核内。没有一种经典模型能够产生稳定的电子轨道。

The Bohr model of the atom started the progress toward a modern theory of the atom with its postulate that angular momentum is quantized, giving only specific allowed energies. Then the development of the quantum theory and the Schrodinger equation refined the picture of the energy levels of atomic electrons.

玻尔模型开启了向现代原子理论发展的进程,其假设角动量是量子化的,只允许特定的能级。随后量子理论和薛定谔方程的发展进一步完善了原子电子能级的图像。

Bohr model of the atom

玻尔模型
Index

Bohr model concepts
索引:玻尔模型概念
 
HyperPhysics***** Quantum Physics
HyperPhysics ***** 量子物理
R Nave
Go Back
返回