免费德布罗意波长计算器
计算运动粒子的德布罗意(物质波)波长。
De Broglie Wavelength
0.000000000727412 m
公式
De Broglie Wavelength
Louis de Broglie proposed that all matter has wave-like properties, with a wavelength inversely proportional to momentum.
Formula
lambda = h / p = h / (m v)
This wavelength is measurable for electrons and neutrons, and is the basis of electron microscopy.
计算示例
Electron (m = 9.109e-31 kg) at v = 1e6 m/s.
- 01lambda = h / (m v)
- 02p = 9.109e-31 * 1e6 = 9.109e-25 kg m/s
- 03lambda = 6.626e-34 / 9.109e-25
- 04lambda = 7.274e-10 m = 0.727 nm
常见问题
Can macroscopic objects have a de Broglie wavelength?
Technically yes, but it is negligibly small. A 1 kg ball at 1 m/s has a wavelength of about 6.6 x 10^-34 m, far too tiny to ever detect.
How is the de Broglie wavelength measured?
By diffraction experiments. Electrons scattered off crystal lattices produce interference patterns consistent with their predicted wavelength.
Why is this important for electron microscopes?
Electron wavelengths at high energies are much shorter than visible light, allowing electron microscopes to resolve atomic-scale features.
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