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陈浩南
2025-09-29 14:48:11 +08:00
parent 540e68bedb
commit b0dab166e9
27 changed files with 128 additions and 46 deletions
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1
.gitignore vendored
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.~lock*
.vscode
result

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paper/method/axis/default.typ
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同时，我们定义 a 轴与 x 轴平行，b 轴与 a 轴夹角为 120 度。
在此定义下，晶圆的切边沿 x 方向（即 [$11 overline(2) 0$] 方向），
台阶流外延过程中台阶台阶边沿平行于 y 方向（即 [$1 overline(1) 00$] 方向），生长方向为 x 方向（即 [$11 overline(2) 0$]）。
此定义与 material projects 数据库以及大部分文献中的定义一致，而与其它一些文献中的定义不一致。
此定义与 material projects 数据库以及大部分文献中的定义一致，而与其它一些文献和数学教科书中的定义不同，因此在使用时需要仔细确认。
（最后一行补充参考文献）。
The axes in our study need to be clearly defined due to the anisotropy of 4H-SiC.

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paper/method/experiment/default.typ
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@@ -34,3 +34,26 @@ The integration time was set to 60 seconds for normal and edge incidence,
偏振的配置？
#include "figure-incidence.typ"
使用以下公式来从实验结果估计拉曼张量：
$
abs(S_i) = C I_i (nu_i (1-exp(-(h nu_i)/(k T))))/((nu - nu_i)^4)
$
其中 $S_i$ 是对应于入射方向和偏振的拉曼张量的组分，$I_i$ 是散射光强度（对应于峰积分），$nu_i$ 是声子频率，$nu$ 是激光的频率，$T$ 是样品温度。
$C$ 是一个包含入射光强度在内的常数，在本文中使用 4H-SiC 正入射 zxxz 的特征峰来校准 $C$ 的值。
在本文中，涉及到对 A1 E1 E2 模式的拉曼张量的估计。
在本文中，对于 E2 和 A1 在面内的拉曼张量，我们使用正入射 zyyz来估计；
对于 E1 的拉曼张量，我们使用侧入射 xyzx 来估计；
对于A1在面外的拉曼张量，我们使用侧入射 xzzx 来估计。
使用4H-SiC的特征峰来校准 K 值。
todo
将拟合结果填充到表格中
关于正入射和侧入射的对比：拟合得到结果、画曲线图、画箱图
极性模式对比。有两个方面需要对比。一个是，正、侧入射的不同，说明分裂的大小与我们的计算是否一致，LOPC是否会在其它偏振下出现；一个是，对正入射时E1的出现作解释。
探索：为什么对于A1的拟合，结果会差两倍？

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paper/result/perfect/figure-raman.typ Normal file
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#figure(
image("/画图/拉曼整体图/embed.svg"),
caption: [
Phonon modes and corresponding Raman spectra of 4H-SiC.
(a)-(b) Raman spectra with (a) normal and (b) edge incidence configurations.
],
placement: none
)<figure-raman>

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paper/result/perfect/non-polar/figure-e1.typ Normal file
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#figure(
image("/画图/E1减小/embed.svg"),
caption: [
(a) Phonon dispersion of 4H-SiC along the A–#sym.Gamma–K high-symmetry path.
Gray lines represent negligible-polar phonon modes,
while colored lines indicate strong-polar phonon modes.
(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.
],
placement: none
)<fig-e1>

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paper/result/perfect/non-polar/figure-nopo-diff.typ Normal file
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#figure(
image("/画图/弱极性不同方向偏移/main.svg"),
caption: [
(a) Phonon dispersion of 4H-SiC along the A–#sym.Gamma–K high-symmetry path.
Gray lines represent negligible-polar phonon modes,
while colored lines indicate strong-polar phonon modes.
(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.
],
placement: none
)<fig-nopo-diff>

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paper/result/perfect/non-polar/table-nopol.typ
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// 这个表格里的数据来自：
// 对于 E2，使用正入射 zyyz zyxz 的结果的平均。
// 对于 E1，使用肩入射 yzxy 的结果。
// 对于 A1，使用肩入射 yzzy 正入射 zyyz 的结果的平均。
// 结果来自 2509xx
// #page(flipped: false)[#rotate(-90deg, reflow: true)[#figure({
// 拟合结果位于 画图/拉曼结果拟合/250923
#page(flipped: true)[#figure({
set text(size: 9pt);
set par(justify: false);
@@ -20,12 +13,11 @@
[Simulation (cm#super[-1])],
// E2 E2 E1 A1 E1 E2 E2 A1
[190.51], [197.84], [257.35], m2[591.90], [746.91], [756.25], [764.33], m2[812.87],
[Experiment (cm#super[-1], averaged)],
[Experiment (cm#super[-1])],
// E2 E2 E1 A1 E1 E2 E2 A1
[195.5], [203.3], [269.7], m2[609.5], [Invisible], [776], [Invisible], m2[839],
// E2 E2 E1 A1 E1 E2 E2 A1
[Error (%)], [2.6], [2.7], [4.6], m2[2.9], [-], [2.5], [-], m2[3.1],
// TODO: 重新检查数据是否正确（主要是正负号）
table.cell(rowspan: 4)[*Raman Tensor*],
[Non-zero components],
// E2 E2 E1 A1
@@ -38,15 +30,12 @@
// E1 E2 E2 A1
[$-2epsilon_1+2zeta_1$], [$bold(8a_2)+2epsilon_2-2zeta_2-4eta_2$], [$-2epsilon_2+2zeta_2$], [$-2zeta_5$], [$-2zeta_6$],
[Calculation result (a.u.)],
// TODO: 改正正负号
// E2 E2 E1 A1 E1 E2 E2 A1
[0.17], [1.13], [2.43], [2.83], [1.79], [0.09], [88.54], [0.50], [0.01], [1.78],
[Experiment result #linebreak() (a.u., averaged)],
// TODO: 填充
// E2 E2 E1 A1 E1 E2 E2 A1
[], [], [], [], [], [Invisible], [], [Invisible], [Invisible], [],
[Experiment result #linebreak() (a.u.)],
// E2 E2 E1 A1 E1 E2 E2 A1
[0.15], [1.11], [], [1.64], [], [Invisible], [88.54], [Invisible], [Invisible], [],
)},
caption: [Negaligible-polarized Phonons at $Gamma$ Point.],
)<table-nopol>]
// TODO: 从多个方向的实验中取得平均值。

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画图/弱极性不同方向偏移/fwhm_E22.csv
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1.7608270175274945 1.7095382677800082 1.6908206133855936 1.641072964651852 1.6077984597054702
1.8521285781470913 1.8070926863375696 1.8063564129426537 1.7796436816826098 1.7863596199454495
1.8550653942136455 1.8454179607235797 1.8355798460139852 1.8640304200694087 2.1953176226936186
1.8046549945528232 1.702570082702504 1.790691823550824 1.805662743000825 2.1233278447896313
1 1.7608270175274945 1.7095382677800082 1.6908206133855936 1.641072964651852 1.6077984597054702
2 1.8521285781470913 1.8070926863375696 1.8063564129426537 1.7796436816826098 1.7863596199454495
3 1.8550653942136455 1.8454179607235797 1.8355798460139852 1.8640304200694087 2.1953176226936186
4 1.8046549945528232 1.702570082702504 1.790691823550824 1.805662743000825 2.1233278447896313

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画图/弱极性不同方向偏移/shift_A11.csv
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610.1213008890824 610.1330681678368 610.1588530411506 610.1811021981093 610.1986449965905
609.7440349023198 609.9115498133125 609.956740868125 609.9158791976113 610.0334707759941
609.6677307789029 609.6669096041305 609.7130323351229 609.7274691263951 609.4912325733311
609.7087116252412 609.5493648779523 609.632471522247 609.7291873589254 609.4961232284547
1 610.1213008890824 610.1330681678368 610.1588530411506 610.1811021981093 610.1986449965905
2 609.7440349023198 609.9115498133125 609.956740868125 609.9158791976113 610.0334707759941
3 609.6677307789029 609.6669096041305 609.7130323351229 609.7274691263951 609.4912325733311
4 609.7087116252412 609.5493648779523 609.632471522247 609.7291873589254 609.4961232284547

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画图/弱极性不同方向偏移/shift_E21.csv
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195.73602107894294 195.74080631709137 195.77557988756905 195.76148803134245 195.76983155098773
195.96055989744724 195.85259578794742 195.7927026486199 195.83645434579918 195.76794597230077
196.19825656128967 196.20368948678166 196.19343990422314 196.16722948184966 196.0690751103817
195.97757968839247 196.74028227696692 196.3986248349401 196.26794625826986 195.98019647684944
1 195.73602107894294 195.74080631709137 195.77557988756905 195.76148803134245 195.76983155098773
2 195.96055989744724 195.85259578794742 195.7927026486199 195.83645434579918 195.76794597230077
3 196.19825656128967 196.20368948678166 196.19343990422314 196.16722948184966 196.0690751103817
4 195.97757968839247 196.74028227696692 196.3986248349401 196.26794625826986 195.98019647684944

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画图/弱极性不同方向偏移/shift_E22.csv
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203.6801432038987 203.68814481324 203.68505961884634 203.69299952913238 203.6904003764694
203.91071868059444 203.765195365188 203.73916579371567 203.8009438952096 203.70415932586553
203.73665069017437 203.74307378471798 203.7412374475013 203.7355035381401 203.68224371967472
203.68505533371479 203.83431521382425 203.71910427658776 203.79953992752039 203.66963877731052
1 203.6801432038987 203.68814481324 203.68505961884634 203.69299952913238 203.6904003764694
2 203.91071868059444 203.765195365188 203.73916579371567 203.8009438952096 203.70415932586553
3 203.73665069017437 203.74307378471798 203.7412374475013 203.7355035381401 203.68224371967472
4 203.68505533371479 203.83431521382425 203.71910427658776 203.79953992752039 203.66963877731052

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画图/拉曼结果拟合/250910/1/readme.txt Executable file
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Si片，间隔5um取5个点
针孔 100 正焦 zyyz
前两个结果为170-1100（需要移动光谱），第三个结果为400-600（不需要移动光谱）。

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画图/拉曼结果拟合/250910/1/readme.txt.txt
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SiƬ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>5umȡ5<EFBFBD><EFBFBD><EFBFBD><EFBFBD>
<EFBFBD><EFBFBD><EFBFBD><EFBFBD> 100 <20><><EFBFBD><EFBFBD> zyyz
ǰ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ170-1100<30><30><EFBFBD><EFBFBD>Ҫ<EFBFBD>ƶ<EFBFBD><C6B6><EFBFBD><EFBFBD>ף<EFBFBD><D7A3><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ϊ400-600<30><30><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ҫ<EFBFBD>ƶ<EFBFBD><C6B6><EFBFBD><EFBFBD>ף<EFBFBD><D7A3><EFBFBD>

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画图/拉曼结果拟合/250910/3/readme.txt.txt
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<EFBFBD><EFBFBD><EFBFBD>Ը<EFBFBD><EFBFBD><EFBFBD>Ƭ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>Ľ<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
1<EFBFBD>dzĵף<EFBFBD>ʣ<EFBFBD>µľ<EFBFBD><EFBFBD>ǰ<EFBFBD>˳<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>
һ<EFBFBD>ֲ<EFBFBD><EFBFBD><EFBFBD>11<EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD><EFBFBD>֡<EFBFBD>

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画图/拉曼结果拟合/250923/shift_A11.txt Normal file
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6.097580694319678969e+02 6.097606894983845223e+02 6.097772260176437840e+02 6.097540720706251705e+02 6.097677162484249038e+02 6.097606847903502967e+02 6.097524748560265380e+02 6.097679113330360678e+02 6.097653109594418765e+02 6.097549712566141125e+02 6.097724815159220952e+02
6.094969524852131144e+02 6.095030353358627053e+02 6.094830993970182362e+02 6.094822880236455376e+02 6.094877128051100499e+02 6.095036311978354888e+02 6.094809701077770114e+02 6.094781665812481606e+02 6.094601632196704486e+02 6.094758264880447314e+02 6.094740806132666648e+02

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1.954075029530483505e+02 1.953478857341484627e+02 1.953769267166200905e+02 1.954027970339571993e+02 1.953347589514454796e+02 1.953585750606797262e+02 1.953331279341388722e+02 1.954060267425776658e+02 1.952899705473047050e+02 1.953494452516382864e+02 1.953889540387470731e+02
1.955143254061939047e+02 1.955314568194222034e+02 1.955552683333574748e+02 1.955481750180620395e+02 1.955953344290883251e+02 1.955747288170350373e+02 1.955405035622480341e+02 1.954405635948803877e+02 1.953860875562799890e+02 1.955043177012716740e+02 1.955407037484820592e+02

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画图/拉曼结果拟合/250923/shift_E22.txt Normal file
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2.033596745420836385e+02 2.033350514440899133e+02 2.033520034103685248e+02 2.033359289059363277e+02 2.033325794937803437e+02 2.033390901492543037e+02 2.033161571980983240e+02 2.033605399415457100e+02 2.033257530283401309e+02 2.033291258845766265e+02 2.033518148664678051e+02
2.030969863890181841e+02 2.031161714659073425e+02 2.031116343498714230e+02 2.031200227998062076e+02 2.030973971095251045e+02 2.031188254080149420e+02 2.031087887206043661e+02 2.030768375231341452e+02 2.030640772958760749e+02 2.030605849463428854e+02 2.030720189180035788e+02

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画图/拉曼结果拟合/README.md
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* 2: 侧入射 xyyx 前半和后半数据。分别取 11 个点，分别保存数据。
* 3: 衬底正入射zxxz，略微垫起一些，使得E1减小。
* 2509xx:
* raw:
* 1: 拍几张照片？
TODO: 250910 的 x 和 y 搞反了
* 1: 摆拍几张照片？
* 2: 衬底侧入射 xzzx xzyx
*