1.角频率（rad/s）和频率(Hz) 维基百科： https://en.wikipedia.org/wiki/Radian_per_second Angular frequency ω (Ordinary) frequency {\\displaystyle \\nu =\\omega /{2\\pi }} 2π radians per second exactly 1 hertz (Hz) 1 radian per second approximately 0.159155Hz 1 radian per second approximately 57.29578 degrees per second 1 radian per second approximately 9.5493 revolutions per minute (rpm) 0.1047 radians per second approximately 1rpm An angular frequency, ω = 1rad/s , corresponds to an ordinary frequency, ν = 1/(2π)Hz ≈ 0.159Hz 1 rad = 1/(2 π ) 2. 波数定义 维基百科： https://en.wikipedia.org/wiki/Wavenumber Wavenumber, as used in spectroscopy and most chemistry fields, is defined as the number of wavelengths per unit distance, typically centimeters (cm −1 ): {\\displaystyle {\\tilde {\\nu }}\\;=\\;{\\frac {1}{\\lambda }}} , where λ is the wavelength. It is sometimes called the spectroscopic wavenumber. In theoretical physics, a wave number defined as the number of radians per unit distance, sometimes called the angular wavenumber, is more often used: {\\displaystyle k\\;=\\;{\\frac {2\\pi }{\\lambda }}} When wavenumber is represented by the symbol ν , a frequency is still being represented, albeit indirectly. As described in the spectroscopy section, this is done through the relationship {\\displaystyle {\\frac {\\nu _{s}}{c}}\\;=\\;{\\frac {1}{\\lambda }}\\;\\equiv \\;{\\tilde {\\nu }}} , where ν s is a frequency in hertz . This is done for convenience as frequencies tend to be very large. It has dimensions of reciprocal length , so its SI unit is the reciprocal of meters (m −1 ). In spectroscopy it is usual to give wavenumbers in cgs unit (i.e., reciprocal centimeters; cm −1 ); in this context, the wavenumber was formerly called the Kayser , after Heinrich Kayser (some older scientific papers used this unit, abbreviated as K , where 1 K = 1 cm −1 ). The angular wavenumber may be expressed in radians per meter (rad·m −1 ), or as above, since the radian is dimensionless . For electromagnetic radiation in vacuum, wavenumber is proportional to frequency and to photon energy. Because of this, wavenumbers are used as a unit of energy in spectroscopy.
标签: 波数
