大量小调整

paper/others/table-pol-full.typ

@@ -0,0 +1,41 @@
+  #figure({
+    set text(size: 9pt);
+    set par(justify: false);
+    let m(n, content) = table.cell(colspan: n, content);
+    let m2(content) = table.cell(colspan: 2, content);
+    let m3(content) = table.cell(colspan: 3, content);
+    let A1 = [A#sub[1]];
+    let A2 = [A#sub[2]];
+    let B1 = [B#sub[1]];
+    let B2 = [B#sub[2]];
+    let E1 = [E#sub[1]];
+    let E2 = [E#sub[2]];
+    let NA = [Not Applicable]
+    let lopc = [Yes#linebreak() (LOPC)];
+    let overf = [Yes#linebreak() (overfocused)];
+    table(columns: 19, align: center + horizon, inset: (x: 3pt, y: 5pt),
+      m2[*Incident Direction*], m(4)[z], m(5)[y], m(8)[between z and y, 20#sym.degree to z],
+      m2[*Vibration Direction*],
+        // TODO: check LO-TO mixed
+        [TO (x)], [TO (y)], m2[LO (z)], m3[TO (z)], [TO (x)], [LO (y)], m3[TO (y-z mixed)], [TO (x)], m(4)[LO (y-z mixed)],
+      table.cell(rowspan: 2)[*Representation*],
+        [C#sub[6v]], m2(E1), m2(A1), m(13, NA), [C#sub[2v]], B2, B1, m2(A1), m2(A1), B2, B1, m(9, NA),
+      table.cell(rowspan: 2)[*Raman Tensor*],
+        [Non-zero components],
+          [xz], [yz], [xx, yy], [zz],                         // z
+          [xx, yy], [zz], [xz], [yz],                         // y
+          [xx], [yy], [yz], [zz], [xz], [xx], [yy], [yz], [zz], // 25 y&z
+      [Simulation Result (a.u.)],
+        // TODO: raman intensity, or raman tensor?
+        m2[53.52], [58.26], [464.69],                                   // z
+        [58.26], [454.09], [53.52], [53.55],                              // y
+        m2[53.71], [3.20], [425.98], [53.56], m2[3.60], [50.36], [27.99], // 45 y&z
+      m2[*Visible in Common Raman Experiment*], m(17)[Yes],
+      m2[*Wavenumber (Simulation) (cm#super[-1])*],
+        // z                        y                                 45 y&z
+        m2[776.57], m2[933.80], m2[761.80], [776.57], [941.33], m(4)[762.76], [776.57], m(4)[940.86],
+      m2[*Electrical Polarity*], m(17)[Strong]
+    )},
+    caption: [Strong-polarized phonons near $Gamma$ point],
+  )
+<table-pol>

paper/others/table-rep.typ

@@ -0,0 +1,24 @@
+#figure({
+  set text(size: 9pt);
+  set par(justify: false);
+  let m2(content) = table.cell(colspan: 2, content);
+  let A1 = [A#sub[1]];
+  let A2 = [A#sub[2]];
+  let B1 = [B#sub[1]];
+  let B2 = [B#sub[2]];
+  let E1 = [E#sub[1]];
+  let E2 = [E#sub[2]];
+  table(columns: 8, align: center + horizon,
+    table.cell(rowspan: 2)[*Representation*],
+      [C#sub[6v]], A1, B1, m2(E1), m2(E2),
+      [C#sub[2v]], A1, B1, B2, B1, A2, A1,
+    m2[*Vibration Direction*], [z], [z], [x], [y], [x], [y],
+    m2[*Raman Tensor*],
+      [$mat(a,,;,a,;,,b)$], [$0$],
+      [$mat(,,a;,,;a,,;)$], [$mat(,,;,,a;,a,;)$], [$mat(,a,;a,,;,,;)$], [$mat(a,,;,-a,;,,;)$],
+  )},
+  caption: [
+    Irreducible representations and raman tensors of phonons in 4H-SiC.
+  ],
+  placement: none,
+)<table-rep>

paper/result/perfect/default.typ

@@ -1,13 +1,18 @@
 == Phonons in Perfect 4H-SiC
 
-// 第一段：弱极性与强极性声子模式表现截然不同。如图所示，弱极性声子模式几乎不依赖于波矢方向，而强极性声子模式则表现出显著的各向异性。
-
 Raman-active phonon modes were categorized into two groups,
   according to the distinct behaviors arising from different electrical polarities,
-  including eight negligible-polarity modes (i.e., having zero or very weak electrical polarity),
+  including eight negligible-polarity modes (possessing zero or very weak polarity),
   and three strong-polarity modes.
 The negligible-polarity modes should exhibit minimal dependence on the wavevector direction,
-  while the strong-polarity modes should show significant anisotropy.
+  whereas the strong-polarity modes should show significant anisotropy.
+Consequently, the negligible-polarity modes were named
+  according to their irreducible representations at the #sym.Gamma point and in order of increasing frequency,
+  including A#sub[1]-1 to A#sub[1]-2, E#sub[1]-1 to E#sub[1]-2, and E#sub[2]-1 to E#sub[2]-4.
+In contrast, the strong-polarity modes were designated based on their polarization relative to the wavevector.
+Since the laser incidence direction was restricted to the x-z plane in this work, these modes were labeled as follows:
+  TO-xz (polarized in the x-z plane and roughly perpendicular to the wavevector),
+  TO-y (polarized along the y-axis), and LO (roughly parallel to the wavevector).
 // This distinction was clearly illustrated in @figure-discont,
 //   where the phonon dispersion relations of negligible-polarity modes (gray solid lines)
 //     were roughly continuous and flat at the #sym.Gamma point,
@@ -16,12 +21,6 @@ The negligible-polarity modes should exhibit minimal dependence on the wavevecto
 // In contrast, the strong-polarity modes (colored solid lines) displayed discontinuities at the #sym.Gamma point,
 //   resulting in #sym.tilde 10 cm#super[-1] frequency shifts and distinct different vibration patterns
 //   under different incidence configurations.
-Consequently, the negligible-polarity modes were named
-  according to their irreducible representations at the #sym.Gamma point and in order of increasing frequency,
-  including A#sub[1]-1 to A#sub[1]-2, E#sub[1]-1 to E#sub[1]-2, and E#sub[2]-1 to E#sub[2]-4.
-In contrast, the strong-polarity modes were named according to their vibration directions and incidence configurations,
-  including TO-zOx (vibrating in the zOx plane and roughly perpendicular to the incidence direction),
-  TO-y (vibrating along the y-axis), and LO (vibrating roughly parallel to the incidence direction).
 
 Peaks corresponding to seven Raman-active negligible-polarity phonons were observed in our experiments
   (only the E#sub[2]-4 mode was not observed, see @figure-raman),
@@ -50,17 +49,8 @@ However, the E#sub[1]-2 mode was observable in our experiments of y(zx)#overline
 Our experiments reported the observation of the E#sub[1]-2 peak for the first time,
   and explained the discrepancy among previous experiments and ours with the help of our calculations.
 
-// TODO: 图中标注强调是拉曼活性的模式
-// TODO: b 图的标题歪了
-
 #include "figure-raman.typ"
 
-#include "table-nopol.typ"
-
-#include "table-pol.typ"
-
-// TODO: 合并两个表格到一页，删除 polar 中的多余信息
-
 It is noteworthy that the large variation in Raman tensor magnitudes among different modes
   was not yet theoretically understood.
 For example, the Raman tensor of the E#sub[2]-3 mode was substantially larger
@@ -77,98 +67,24 @@ By analyzing the local environment of individual atoms,
     denoted as $epsilon_i$, $eta_i$, and $zeta_i$，where $i in {1, 2, 5, 6}$,
     and $|epsilon_i| + |eta_i| + |zeta_i| << |a_i|$ was assumed).
 Detailed derivations were provided in @appd-predict, with results summarized in @table-nopol and @table-pol.
-Notably, the E#sub[2]-3 mode was the only mode that retains the $a_i$ term,
+Notably, the E#sub[2]-3 mode was the only mode that retains the $a_i$ term,determine
   which indicating a constructive interference of contributions from the local environment of individual atoms.
 This stood in contrast to other negligible-polarity modes where such contributions tend to cancel out,
   explaining the exceptionally high Raman tensor magnitude observed for the E#sub[2]-3 mode.
 
+#page(flipped: true)[
+#include "table-nopol.typ"
+#include "table-pol.typ"
+]
 
-
-
-模式频率在倒空间中的依赖性被仔细研究并展示在@figure-rev 中。
-各个模式在 gamma 点附近的色散关系被计算出来并被展示在图 a 中。
-在弱极性模式中，频率偏移在 1cm -1 以内；在极性模式中，频率的变化达到了 10 cm -1 量级。其中，
-E2 模式没有极性，因此在 Gamma 点处无色散；离开 Gamma 点越远，频率对入射方向的依赖越大。
-这意味着相比于绿光，使用紫外光入射时，正入射与侧入射的频率差异会更大。
-A1 的极性不为零，它们的色散呈现瓣状，意味着无论使用什么激光波长，频率的变化都比较接近。
-E2-3 的频率几乎不变并且在任何角度的入射实验中都清晰可见 ，可以被选定为实验中的校准参考。
-图b给出了实验结果，其中 E2-1 由于较弱，导致样本标准差较大；E2-2 和 A1-1 的散射强度较强，因此标准差较小。
-图c对比了实验与计算的结果，可以看到两者吻合较好，只有 A1-1 的实验结果明显大于计算结果。
-这可以归结为一些原因。
-我们的研究对比了入射方向对极性较弱的声子模式的影响并在理论上进行了解释，以实现对拉曼光谱的更精确分析，并为掺杂和载流子对光谱影响的分析做了准备。
-
-
+The mode frequency dependence on the wavevector were thoroughly investigated,
+  including both thoretical calculations (@figure-rev a), experimental measurements (left part of @figure-rev b) and their comparisons (right part of @figure-rev b).
+The E#sub[2]-3 mode frequency was calculated to remaine distinct in all incidence geometries (@figure-rev a),
+  making it an ideal calibration reference for experiments.
+Meanwhile,
+  the E#sub[2]-1, E#sub[2]-2 and A#sub[1]-1 mode showed a relatively larger dependence on the incidence direction,
+  which is in good agreement with our experimental observations (@figure-rev b).
 
 #include "figure-rev.typ"
 
-#include "figure-discont.typ"
-
-
-The E#sub[2]-3 peak was calculated to be having virtually invariant frequency,
-  and thus served as a calibration reference under various experiments.
-The peek of E#sub[2]-1, E#sub[2]-2, A#sub[1]-1 and TO-zOx modes were observable in both normal and edge incidence,
-  thus was uesd to compare the frequency shifts between different incidence configurations.
-
-// TODO: 增加图例：各种入射激光
-// TODO: 增加 TO-zOx 的讨论
-// TODO: 条形图画成两个方向的
 // TODO: 换个方案拟合，考虑不对称，看能不能把这个误差填上
-
-// 第二段：我们具体计算了模式对极性的依赖。可以看到，弱极性声子的变化极小。与实验比较，也验证了我们实验的准确性。
-
-// 第三段：有两个弱极性模式还没有在实验上看到过。我们通过计算知道了它们的强度，并看到了其中一个。
-
-// 第四段：声子模式的强度可以从理论上得到解释。
-
-=== Negligible-polarity Phonons
-
-
-
-
-
-
-
-
-To achieve a more precise investigation of the Raman spectra
-    and prepare for analyzing impurity and charge carrier effects,
-  the analysis of negligible-polarity phonons off the #sym.Gamma point was conducted
-  by comparing experimental and calculated results under various lazer incidence directions.
-The E#sub[2]-3 peak searved as a calibration reference under various experiments,
-  since its position was calculated to be virtually invariant between normal and edge incidence
-  (with a shift of only #sym.tilde 0.004 cm#super[-1]).
-The E#sub[2]-1, E#sub[2]-2, and A#sub[1]-1 modes exhibited observable shifts,
-  and the experimental results were in good agreement with our calculations, as shown in fig.
-Our results further confirmed the accuracy of both our experiments and calculations.
-
-=== Strong-polarity Phonons
-
-The Strong-polarity phonon modes participated in Raman scattering
-  exhibited significant variations depending on the incidence configurations
-  (see the intersection of colored solid lines and orange dashed lines in @figure-discont b and c).
-For incident light propagating along the z direction,
-  the C#sub[6v] point group applied and two modes were present,
-  marked as normal-TO and normal-LO,
-  and they were corresponding to the E#sub[1] and A#sub[1] representations
-    and vibrations along the basle plane and z direction, respectively.
-The normal-LO would subsiquently couple with plasmons to form LOPC modes in n-type 4H-SiC.
-For incident light propagating along other directions,
-  the C#sub[6v] group no longer held and three modes were present.
-Specifically, for incident light propagating along x direction, the C#sub[2v] group applied,
-  and the three modes was named as edge-TO-z, edge-TO-y and edge-LO,
-  which were corresponding to A#sub[1], B#sub[2] and B#sub[1] representations
-  and vibrations along z, y and x directions, respectively.
-
-E1 的情况。
-
-注意到在正入射中，理论上不能被观察到的E#sub[1]-1模式也被观察到了。
-与弱极性的 E1-1 模式类似，我们也认为这是由于入射光并非完全沿 z 轴入射所致。
-但与弱极性 E1-1 模式不同的是，强极性 E1-1 模式在 xy 的偏振下并没有更强反而更弱。
-这是因为E1这时不再是严格的E1模式，而是分裂成了两个相近的模式。
-我们的计算表明，在2度的入射角下，E1分裂的两个模式非常接近。
-其中某个模式会怎样怎样，另一个会怎样怎样。
-
-// 我们预测，随着入射方向偏移，LO 峰会向着高频方向移动。此外，我们也注意到 LO 也会与载流子产生影响。
-// 在 n 型半导体中，LOPC 模式将代替 LO 模式；在 p 型半导体中，LO 模式仍然单独存在，但它的半高宽会受到载流子浓度的影响。
-
-
-

paper/result/perfect/figure-raman.typ

@@ -1,7 +1,7 @@
 #figure(
   image("/画图/拉曼整体图/embed.svg"),
   caption: [
-    Phonon modes and corresponding Raman spectra of 4H-SiC.
+    Raman-active phonon modes and corresponding Raman spectra of 4H-SiC.
     (a)-(b) Raman spectra with (a) normal and (b) edge incidence configurations.
   ],
   placement: none

paper/result/perfect/figure-rev.typ

@@ -1,18 +1,10 @@
 #figure(
   image("/画图/入射角度与偏移/embed.svg"),
   caption: [
-    Phonon modes and corresponding Raman spectra of 4H-SiC.
-    (a)-(b) Raman spectra with (a) normal and (b) edge incidence configurations.
+    Frequency shifts of Raman-active modes depending on wavevectors.
+    (a) Calculated results.
+    (b) Experimental results and theoretical comparison.
   ],
   placement: none
 )<figure-rev>
 
-// #figure(
-//   image("/画图/弱极性不同方向偏移/embed.svg"),
-//   caption: [
-//     Frequency shifts of negligible-polar phonon modes under different incidence configurations.
-//     (a) Experimental results under z(yy)#overline[z] and x(yy)#overline[x] configurations. Solid lines and dots represent distribution and value of experimental data, respectively.
-//     (b) Comparison between experimental and calculated frequency shifts. The baby blue bars and error bars represent the mean and standard deviation of experimental results, respectively; the purple bars represent theoretical calculations.
-//   ],
-//   placement: none
-// )<fig-nopo-diff>

paper/result/perfect/table-nopol.typ

@@ -1,5 +1,5 @@
 // 拟合结果位于 画图/拉曼结果拟合/250923
-#page(flipped: true)[#figure({
+#figure({
   set text(size: 9pt);
   set par(justify: false);
   let m(n, content) = table.cell(colspan: n, content);
@@ -50,8 +50,7 @@
   )},
   caption: [
     Negaligible-polarized Phonons at $Gamma$ Point.
-    The calculated phonon frequencies had a slight underestimation of 2-5% comparing to experimental values,
-    which might be attributed to the known tendency of the PBE functional underestimating interatomic forces (cite).
+    // The calculated phonon frequencies had a slight underestimation of 2-5% comparing to experimental values,
+    // which might be attributed to the known tendency of the PBE functional underestimating interatomic forces (cite).
   ],
-)<table-nopol>]
-
+)<table-nopol>

paper/result/perfect/table-pol.typ

@@ -1,10 +1,10 @@
-#page(flipped: true)[
   #figure({
     set text(size: 9pt);
     set par(justify: false);
     let m(n, content) = table.cell(colspan: n, content);
-    let m2(content) = table.cell(colspan: 2, content);
-    let m3(content) = table.cell(colspan: 3, content);
+    let m2(content) = m(2, content);
+    let m3(content) = m(3, content);
+    let m4(content) = m(4, content);
     let A1 = [A#sub[1]];
     let A2 = [A#sub[2]];
     let B1 = [B#sub[1]];
@@ -15,12 +15,12 @@
     let lopc = [Yes#linebreak() (LOPC)];
     let overf = [Yes#linebreak() (overfocused)];
     table(columns: 19, align: center + horizon, inset: (x: 3pt, y: 5pt),
-      m2[*Incident Direction*], m(4)[z], m(5)[y], m(8)[between z and y, 20#sym.degree to z],
-      m2[*Vibration Direction*],
-        // TODO: check LO-TO mixed
-        [TO (x)], [TO (y)], m2[LO (z)], m3[TO (z)], [TO (x)], [LO (y)], m3[TO (y-z mixed)], [TO (x)], m(4)[LO (y-z mixed)],
+      m2[*Incident Direction*], m4[z], m4[x], m(9)[between z and x, 20#sym.degree to z],
+      m2[*Notation of Mode*], [TO-x], [TO-y], m2[LO], m2[TO-z], [TO-y], [LO], m4[TO-xz], [TO-y], m4[LO],
       table.cell(rowspan: 2)[*Representation*],
-        [C#sub[6v]], m2(E1), m2(A1), m(13, NA), [C#sub[2v]], B2, B1, m2(A1), m2(A1), B2, B1, m(9, NA),
+        [C#sub[6v]], m2(E1), m2(A1), m4(NA), table.cell(rowspan: 2, colspan: 9, NA),
+        [C#sub[2v]], B1, B2, m2(A1), m2(A1), B2, B1,
+// TODO: 以下数据需要重新计算，因为x和y换过一次
       table.cell(rowspan: 2)[*Raman Tensor*],
         [Non-zero components],
           [xz], [yz], [xx, yy], [zz],                         // z
@@ -31,12 +31,10 @@
         m2[53.52], [58.26], [464.69],                                   // z
         [58.26], [454.09], [53.52], [53.55],                              // y
         m2[53.71], [3.20], [425.98], [53.56], m2[3.60], [50.36], [27.99], // 45 y&z
-      m2[*Visible in Common Raman Experiment*], m(17)[Yes],
       m2[*Wavenumber (Simulation) (cm#super[-1])*],
         // z                        y                                 45 y&z
-        m2[776.57], m2[933.80], m2[761.80], [776.57], [941.33], m(4)[762.76], [776.57], m(4)[940.86],
-      m2[*Electrical Polarity*], m(17)[Strong]
+        m2[776.57], m2[933.80], m2[761.80], [776.57], [941.33], m(4)[762.76], [776.57], m(4)[940.86]
     )},
     caption: [Strong-polarized phonons near $Gamma$ point],
   )
-<table-pol>]
+<table-pol>