V2EX wave number

Wave Number

释义 Definition

wave number(波数):物理学中用来表示波的空间频率的量,常记作 k 或 **\tilde{ν}**。它描述波在单位长度内“重复”的程度:

  • 在波动与光学中,常用 k = 2π/λ(λ 为波长);
  • 在光谱学中,常用 \tilde{ν} = 1/λ,单位常写作 cm
    (在不同学科里记号与定义细节可能略有差异。)

发音 Pronunciation (IPA)

/wev nmbr/

例句 Examples

The wave number increases when the wavelength gets shorter.
当波长变短时,波数会增大。

In spectroscopy, peaks are often reported in wave number (cm) because it relates directly to energy and molecular vibrations.
在光谱学中,峰位常用波数(cm)表示,因为它与能量和分子振动有直接关系。

词源 Etymology

wave numberwave(波)+ number(数/数量) 组成,字面意思是“波的数值指标”。该术语在 1920 世纪的波动理论、光学与后来的光谱学发展中逐渐固定,用来简洁表达“与波长成反比的空间尺度”这一核心概念。

相关词 Related Words

文学与著作中的用例 Literary Works

  • The Feynman Lectures on Physics(《费曼物理学讲义》)在波动与光学相关章节讨论与波长、空间变化率相联系的量。
  • Classical Electrodynamics by J. D. Jackson(《经典电动力学》)在平面波与电磁波传播的推导中使用与 k(波数/波矢大小)相关的表述。
  • Principles of Optics by Born & Wolf(《光学原理》)在光的传播、干涉与衍射理论中系统使用波数/波矢概念。
  • Optics by Eugene Hecht(《光学》)面向教学的光学教材中常以波数连接波长、相位变化与传播常数。
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