paper: 完成完美晶格的总述

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2025-09-02 11:11:28 +08:00
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commit 5fb6fa3a2a
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#import "@preview/starter-journal-article:0.4.0": article, author-meta
#show: article.with(
title: "Article Title",
title: "My Great Paper",
authors: (
"Haonan Chen": author-meta(
"xmu",
@@ -15,7 +15,9 @@
affiliations: (
"xmu": "Xiamen University",
),
abstract: [#lorem(100)],
abstract: [
Accept pls.
],
keywords: ("Typst", "Template", "Journal Article"),
)

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Phonon modes in defect-free 4H-SiC were first analyzed,
which account for the majority of the observed Raman signals.
Subsequently, we address the effects of defects,
which manifest as additional minor peaks
and modifications to the Raman features associated with the defect-free 4H-SiC phonon modes.
Subsequently, we address the effects of defects and charge carriers,
which manifest as additional minor peaks and modifications to the primary peaks in the Raman spectra.
#include "perfect/default.typ"
#include "defect/default.typ"

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== Phonons in Perfect 4H-SiC
不同方向入射光的声子位置不同。
不同方向入射光的声子位置不同。我们只研究 Gamma 附近的那些。
声子的性质与它们在倒空间中的位置(即波矢)有关,而参与拉曼散射的声子波矢则由激光波长和拉曼入射配置(正入射、掠入射、边入射)决定
在我们的实验(绿光)中,参与拉曼散射的声子都位于 Gamma 点附近(距离仅约 0.005 埃-1而与 Gamma 点的相对方向则根据入射配置而定
参与拉曼散射的声子波矢等于入射光与散射光的波矢差
因此,在我们的实验(绿光和紫外光的背散射)中,参与拉曼散射的声子都位于 Gamma 点附近,且不同的入射方向对应的声子波矢不同
对于正入射,声子大致位于 Gamma-A 线上;对于边入射,声子大致位于 Gamma-K 线上。对于掠入射,声子不位于任何高对称线上。
The properties of phonons depend on their positions in reciprocal space (i.e., their wavevectors),
and the wavevectors of phonons participating in a Raman scattering process
are determined by the Raman experiment configuration.
In our experiments (back-scattering with 532 nm laser light),
the phonons involved are located very close to the #sym.Gamma point (approximately $5 times 10^(-3) angstrom$),
and direction relative to the #sym.Gamma point is determined by the incidence configurations.
For normal and edge incidence,
the relevant phonons lie approximately along the #sym.GammaA and #sym.GammaK lines, respectively,
as illustrated in @figure-discont.
The wavevectors of phonons participating in Raman scattering
equal to the difference between the wavevectors of the incident and scattered light.
Thus, in our experiments (back-scattering with green and UV light),
the phonons involved are located very close to the #sym.Gamma point,
with various wavevectors determined by the incidence configurations.
As illustrated in @figure-discont, in Raman experiments of normal and edge incidence,
the relevant phonons lie approximately at the #sym.GammaA and #sym.GammaK lines, respectively.
For grazing incidence,
the relevant phonons do not reside on any high-symmetry lines and are therefore not depicted in the figure.
@@ -26,16 +24,15 @@ For grazing incidence,
我们将这 21 个声子模式分为两类18 个极性可以忽略的声子模式(即极性为零或非常弱的声子),在拉曼散射过程中它们的电极性造成的效应可以忽略;
3 个强极性声子模式,在拉曼光谱中电极性效应是可观测的。
At each position near the #sym.Gamma point,
there are 21 phonon modes (counting degeneracies).
These modes were categorized into two groups according to their electrical polarities:
At each position near the #sym.Gamma point, there are 21 phonon modes with non-zero frequency (counting degeneracies).
These phonons were categorized into two groups according to their electrical polarities:
18 negligible-polar phonons (i.e., zero or very weak electrical polarity),
where atoms of the same species vibrate in opposite directions
where atoms of the same species vibrate in opposite directions,
resulting in effective cancellation of electrical polarization during the Raman process
(gray lines in @figure-discont);
and three strong-polar phonons,
where atoms of the same species vibrate in phase,
resulting in strong electrical polarization and observable effects in Raman spectra,
resulting in strong electrical polarization and observable effects in Raman spectra
(colored lines in @figure-discont).
#include "non-polar/default.typ"

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image("/画图/声子不连续/embed.svg"),
caption: [
(a) Phonon dispersion of 4H-SiC along the A#sym.GammaK high-symmetry path.
Gray lines represent negligible-polar phonon modes,
while colored lines indicate strong-polar phonon modes.
The green, red and blue lines indicate the mode along the z-direction, y-direction and x-direction, respectively.
Along A-#sym.Gamma path, strong-polar modes along x- and y-directions are degenerated,
showing as a single purple line.
(b) Magnified view of the boxed region in (a).
The orange dashed lines mark the phonon wavevectors involved in Raman scattering
with incident light along the z- and y-directions.
(c) Magnified view of the boxed region in (b).
with green laser light under normal and edge incidence configurations.
],
placement: none,
)<figure-discont>

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