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  • Phonon - Wikipedia
    Acoustic phonons exhibit a linear relationship between frequency and phonon wave-vector for long wavelengths The frequencies of acoustic phonons tend to zero with longer wavelength Longitudinal and transverse acoustic phonons are often abbreviated as LA and TA phonons, respectively
  • Lecture 7 - uwo. ca
    ω-(k) ω 0 as k 0 acoustic modes (M 1 and M 2 move in phase) ω+(k) ω ωmax as k 0 optical modes (M 1 and M 2 move out of phase) M1 < M 2 Lecture 7 14 Optical and acoustical branches Two branches may be presented as follows: If there are p atoms in the primitive cell, there are 3p branches to the
  • 晶格振动谱的横声学支简并 - 知乎 - 知乎专栏
    对于一维单原子链，只有1个自由度, 相应于1个 声学支, 原子振动的方向与波传播的方向一致,称为 纵声学支 (Longitudinal Acoustic branch,简写为LA) 而在三维晶体中，除去LA外,还有两个原子的振动方向与波传播方向垂直的 横声学支 (Transverse Acoustic branch, 简写为TA)存在, 由于对纵模和横模,原子间相互作用的力常数不同, LA和TA通常并不简并,对于单原子链, 或实际晶体在某些对称方向, 两支TA是简并的 比如金刚石结构的Si晶体， 面心立方结构，复式晶格， 格波 包含3个声学波，3个光学波。
  • Transverse-acoustic branch - Big Chemical Encyclopedia
    Transverse-acoustic branch Of the three acoustic phonon branches, in each case that with the largest slope is the branch of the longitudinal acoustic phonons (LA), while the two others are the transverse acoustic branches (TA) From this we can derive immediately the longitudinal sound velocity
  • What is the difference between an optical and an acoustic . . .
    The allowed frequencies of propagation wave are split into an upper branch known as the optical branch, and a lower branch called the acoustical branch
  • How to differentiate longitudinal and transverse phonons from . . .
    Acoustic phonons have zero frequency at the Γ Γ point, whereas optical phonons have a non-zero frequency at the Γ Γ point I also know that either type of phonon can be longitudinal or transverse depending on how the atoms vibrate relative to the axis of vibrations
  • 4. Phonons - University of Cambridge
    In materials, atoms can jiggle, oscillating back and forth about their equilibrium position The result of their collective e↵ort is what we call sound waves or, at the quantum level, phonons In this section we explore the physics of this jiggling Much of the interesting physics can be illustrated by sticking to one-dimensional ex-amples





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