康普顿波长计算器

Compton Wavelength

Compute a particle's Compton wavelength λ_c = h/(mc) from its mass, output in wavelength units, useful for particle physics and quantum-effect study.

📐 计算公式
康普顿波长 λ_c = 普朗克常量 h ÷ (质量 m × 光速 c),h = 6.62607015×10⁻³⁴ J·s、c = 2.99792458×10⁸ m/s(常量固定);衍生卡:皮米 pm = λ_c × 10¹²、飞米 fm = λ_c × 10¹⁵、康普顿频率 = m×c ÷ h(Hz)、与电子康普顿波长 2.42631023867×10⁻¹² m 之比。校验:质量非空数值守卫。判据:质量越大康普顿波长越短、康普顿频率越高。

输入粒子质量 m,求康普顿波长。

Formula & Standard References

Item Formula / Note Source / Standard
Compton wavelengthλ_C = h/(m₀c)Compton 1923
Reduced formƛ_C = ħ/(m₀c)QFT convention
Electron valueλ_C,e = 2.4263 pmCODATA 2018
Proton valueλ_C,p ≈1.3214 fmCODATA 2018
Physical meaningScale where QM effects matterModern physics
Planck constanth = 6.62607015×10⁻³⁴ J·sSI 2019
📌 计算说明
  • λ_c = h/(mc)。
  • 电子 m=9.109e-31 → 2.426 pm。

📐 Physical Constants

Constants used on this page and their authoritative sources, for verification and citation

Constant Value Unit Source
Planck constant h 6.62607015 × 10⁻³⁴ J·s SI defining constant (exact)
Speed of light in vacuum c 299 792 458 m·s⁻¹ SI defining constant (exact)
Electron rest mass m_e 9.1093837015 × 10⁻³¹ kg CODATA 2018 (rel. std. unc. 3.0×10⁻¹⁰)
Electron Compton wavelength λ_C = h/(m_e c) 2.42631023867 × 10⁻¹² m CODATA 2018 recommended value

Note: the reduced Compton wavelength ƛ_C = ħ/(m_e c) = λ_C/2π ≈ 0.386 pm appears in scattering cross-section formulas.

📚 深度解析:康普顿波长

💡 常见使用场景

电子
λ_c=h/(m_e c)=6.626e-34/(9.109e-31×2.998e8)=2.43pm。
质子
m_p≈1836m_e → λ_c≈1.32fm,比电子小三个量级。

❓ 常见问题(FAQ)

物理意义?
康普顿波长是粒子波动性的特征长度,也是康普顿位移的上限尺度。
和质量关系?
λ_c=h/(mc),质量越大波长越短。