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🌊 德布罗意波长De Broglie Wavelength
λ = h / (m v)，h = 6.62607015×10⁻³⁴ J·s。本地处理。可设置「质量 kg」、「速度 m/s」。λ = h / (m v), with h = 6.62607015×10⁻³⁴ J·s. Processed locally. Settings: Mass kg, Velocity m/s.
使用说明与常见问题How-to & FAQ
「德布罗意波长」是什么？What is the De Broglie Wavelength tool?
λ = h / (m v)，h = 6.62607015×10⁻³⁴ J·s。本地处理。可设置「质量 kg」、「速度 m/s」。λ = h / (m v), with h = 6.62607015×10⁻³⁴ J·s. Processed locally. Settings: Mass kg, Velocity m/s.
如何使用「德布罗意波长」？How do I use the De Broglie Wavelength tool?
填写粒子的质量（kg）和速度（m/s），即可得到德布罗意波长 λ = h ÷ (m v)。结果会随输入实时更新。Enter the particle's mass in kg and velocity in m/s to get the de Broglie wavelength λ = h ÷ (m v). The result updates as you type.
高速？Relativistic?
接近光速时应使用相对论动量 p = γmv；本页为非相对论公式。Near light speed use relativistic momentum p = γmv; this page is non-relativistic.
能举个计算实例吗？Can you show a worked example?
例如在「德布罗意波长」中填 质量 kg = 9.1093837e-31，速度 m/s = 1e6，结果区显示：波长 λ：7.2739×10⁻¹⁰ m；纳米：0.72739 nmFor example, entering Mass kg = 9.1093837e-31, Velocity m/s = 1e6 in the De Broglie Wavelength gives: Wavelength λ: 7.2739×10⁻¹⁰ m; Nanometres: 0.72739 nm
哪些输入会被检查？Which inputs are validated?
「德布罗意波长」会检查这些输入——「质量 kg」、「速度 m/s」：必须填写，须大于 0；绝对值超过 10¹⁵ 的数也会被拒绝。不符合时结果区显示具体提示，不会给出数字。The De Broglie Wavelength checks its inputs — "Mass kg", "Velocity m/s": required, must be greater than 0; numbers above 10¹⁵ in absolute value are rejected too. When a value fails, the result area names the problem instead of showing a number.
有哪些选项可以调整？What options can I adjust?
「德布罗意波长」的设置：「质量 kg」默认 9.1093837e-31；「速度 m/s」默认 1e6。每次生成结果都按当前设置处理。Settings in the De Broglie Wavelength — "Mass kg" default 9.1093837e-31; "Velocity m/s" default 1e6. The result always uses the current settings.
计算结果可以用于作业或工程吗？Can I use the results for homework or engineering?
「德布罗意波长」使用教科书标准公式（公式写在说明和常见问题中），适合学习和估算核对；涉及安全的工程设计请以规范和实测为准。The De Broglie Wavelength uses standard textbook formulas (given in the description and FAQ), which is good for learning and checking estimates; for safety-critical engineering follow codes and measured values.
「德布罗意波长」免费吗？需要注册吗？Is the De Broglie Wavelength free? Do I need an account?
「德布罗意波长」完全免费，无需注册或安装，打开网页即可使用，手机和电脑都能用；输入的内容只在你的浏览器本地处理。The De Broglie Wavelength is completely free with no sign-up or install and works on phones and desktops; what you enter is processed only in your browser.