paper/result/perfect: 删除多余的话

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// 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。 // 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。
Owing to the distinct behaviors arising from their different electrical polarities, Owing to the distinct behaviors arising from different electrical polarities of Raman-active phonon modes,
Raman-active phonons were categorized into two groups: they were categorized into two groups:
negligible-polarity phonons (i.e., having zero or very weak electrical polarity), negligible-polarity phonons (i.e., having zero or very weak electrical polarity),
and strong-polarity phonons. and strong-polarity phonons.
The negligible-polarity phonons exhibited minimal dependence on the wavevector direction The negligible-polarity phonons exhibited minimal dependence on the wavevector direction
(see the intersection of gray solid lines and orange dashed lines in @figure-discont b and c), (see the intersection of gray solid lines and orange dashed lines in @figure-discont b and c,
where the frequency only differed #sym.tilde 0.1 cm#super[-1] across different incidence configurations),
and were therefore usually analyzed at the #sym.Gamma point regardless of the incidence configurations; and were therefore usually analyzed at the #sym.Gamma point regardless of the incidence configurations;
specifically, there were eight such modes specifically, there were eight such modes
labeled 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, labeled 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,
according to their irreducible representations in the C#sub[6v] group and in order of increasing frequency. according to their irreducible representations in the C#sub[6v] group and in order of increasing frequency.
In contrast, the strong-polarity phonons displayed significant anisotropy, In contrast, the strong-polarity phonons displayed significant anisotropy
(see the intersection of colored solid lines and orange dashed lines in @figure-discont b and c,
where the frequency differed #sym.tilde 10 cm#super[-1] across different incidence configurations),
and required analysis under specific incidence configurations. and required analysis under specific incidence configurations.
In this paper, we focused on incidence within the zOx plane, In this paper, we focused on incidence within the zOx plane,
where three modes were present and named according to their vibration directions: where three modes were present and named according to their vibration directions:
TO-zOx (vibrating in the zOx plane and roughly perpendicular to the incidence direction), 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). TO-y (vibrating along the y-axis), and LO (vibrating roughly parallel to the incidence direction).
In order to further investigate the frequencies dependence on the wavevector,
and to confirm the accuracy of both our experiments and calculations,
we analyzed the negligible-polarity phonons off the #sym.Gamma point
by comparing experimental and calculated results under various laser incidence directions.
The E#sub[2]-3 peak served as a calibration reference under various experiments,
// 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。
@@ -27,25 +36,8 @@ In this paper, we focused on incidence within the zOx plane,
=== Negligible-polarity Phonons === Negligible-polarity Phonons
The negligible-polarity phonons were initially analyzed at the #sym.Gamma point,
disregarding the incidence configurations.
This simplification was justified because
the negligible-polarity phonon modes participated in Raman scattering
were nearly identical across all incidence configurations,
with their frequencies differing by only #sym.tilde 0.1 cm#super[-1]
There were eight Raman-active negligible-polarity modes in 4H-SiC at the #sym.Gamma point,
corresponding to three irreducible representations of the C#sub[6v] group (A#sub[1], E#sub[1], and E#sub[2]).
We named these modes as
E#sub[2]-1, E#sub[2]-2, E#sub[1]-1, A#sub[1]-1, E#sub[1]-2, E#sub[2]-3, E#sub[2]-4, and A#sub[1]-2,
in order of increasing frequency (see @figure-discont and @figure-raman).
The Raman tensor forms of each mode were derived by further considering their representations in the C#sub[2v] group,
and were summarized in @table-rep.
#include "figure-discont.typ" #include "figure-discont.typ"
#include "figure-raman.typ" #include "figure-raman.typ"
#include "table-rep.typ"
Peaks corresponding to seven Raman-active negligible-polarity phonons were observed in our experiments Peaks corresponding to seven Raman-active negligible-polarity phonons were observed in our experiments
(only the E#sub[2]-4 mode was not observed), (only the E#sub[2]-4 mode was not observed),

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#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>