This commit is contained in:
@@ -2,11 +2,18 @@
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#import "@preview/tablem:0.2.0": tablem
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#set par.line(numbering: "1")
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#show figure.caption: it => {
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set align(left)
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set text(10pt)
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show: box.with(width: 80%)
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it
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align(center, box(align(left, it), width: 80%))
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}
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#set page(
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// paper: "us-letter",
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// header: align(right)[
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// A fluid dynamic model for
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// glacier flow
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// ],
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numbering: "1/1",
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)
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#set figure(placement: none)
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#show: article.with(
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title: "Article Title",
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authors: (
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@@ -34,7 +41,6 @@
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// body
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// })
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)
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#set figure(placement: none)
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= Introduction
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@@ -189,19 +195,23 @@ However, the actual visibility of each phonon depends on the magnitudes of its R
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// 其中有几个声子的拉曼活性较弱,有几个比较强。强的都可以在实验上看到;但弱的能否看到则取决于它是否恰好位于强模式的附近。
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// 其中,xxx 和xxx 位于强模式的附近,它们在实验上无法看到;xxx 只在 z 方向入射/散射时可以看到;xxx 则在任意方向都能看到。
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// 我们同样计算了这些声子在 300K 下的展宽,并与实验对比,结果如表所示。原子的振幅另外列于附录中。
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The Raman tensors of these Raman-active phonons were calculated using first-principles methods,
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and the results are summarized and compared with experimental results in @nopol.
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Some Raman-active phonons are not visible in experiments,
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including E#sub[1] at ~746.91 cm#super[-1] and E#sub[2] at ~764.33 cm#super[-1],
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causing their Raman intensity are relatively low and located close to strong modes.
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The A#sub[1] phonon at ~812.87 cm#super[-1] is only visible
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when both the incident and scattered light propagate along the z-direction,
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since its Raman intensity in basal plane is too week to be recognized from the background.
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We also calculated the linewidthes of these phonons at 300 K and compared them with experimental results,
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as summarized in the table.
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Two Raman-active modes are not observed in our experiments,
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including the E#sub[1] mode at 746.91 cm#super[-1] and the E#sub[2] mode at 764.33 cm#super[-1],
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due to their relatively low Raman intensities, broad FWHM values, and their proximity to stronger modes.
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The A#sub[1] phonon at 812.87 cm#super[-1] is Raman-active
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in both in-plane (xx and xy) and out-of-plane (zz) polarization configurations,
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but it is only visible when both the incident and scattered light propagate along the z-direction (zz),
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as its Raman intensity in basal plane is too week to be distinguished from the noise.
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We also calculated the linewidths of these phonons at 300 K and compared them with experimental results,
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as summarized in the @nopol.
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The atomic vibration amplitudes are listed separately in the Appendix.
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// TODO: 将一部分 phonons 改为 phonon modes
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// 在论文中我们这样来称呼:phonon 对应某一个特征向量,而 modes 对应于一个子空间。
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// 也就是说,简并的里面有两个或者无数个 phonon,但只有一个 mode
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#page(flipped: true)[#figure({
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let m(n, content) = table.cell(colspan: n, content);
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let A1 = [A#sub[1]];
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@@ -210,7 +220,7 @@ The atomic vibration amplitudes are listed separately in the Appendix.
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// let B2 = [B#sub[2]];
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let E1 = [E#sub[1]];
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let E2 = [E#sub[2]];
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table(columns: 27, align: center + horizon, inset: (x: 2pt, y: 5pt),
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table(columns: 27, align: center + horizon, inset: (x: 3pt, y: 5pt),
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// [*Direction of Incident & Scattered Light*],
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// m(26)[Any direction (not depend on direction of incident & scattered light)],
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[*Number of Phonon*],
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@@ -225,24 +235,26 @@ The atomic vibration amplitudes are listed separately in the Appendix.
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[x], [y], [x], m(2)[y], [x], m(2)[y], m(3)[z], [z], [z],
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[*Representation #linebreak() in Group C#sub[6v]*],
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m(3, E2), m(3, E2), m(2, E1), B1, B1, m(3, A1), m(2, E1), m(3, E2), m(3, E2), m(3, A1), B1, B1,
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[*Raman-active or Not*],
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m(8)[Raman-active], m(2)[Raman-inactive], m(14)[Raman-active], m(2)[Raman-inactive],
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// [*Representation in Group C#sub[2v]*],
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// // E2 E2 E1 2B1 A1 E1 E2 E2 A1 2B1
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// A2, m(2, A1), A2, m(2, A1), B2, B1, B1, B1, m(3, A1), B2, B1, A2, m(2, A1), A2, m(2, A1), m(3, A1), B1, B1,
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[*Scattering in Polarization #linebreak() (non-zero Raman #linebreak() tenser components)*],
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// E2 E2 E1 2B1 A1
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[xy], [xx], [yy], [xy], [xx], [yy], [xz], [yz], [-], [-], [xx], [yy], [zz],
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[xy], [xx], [yy], [xy], [xx], [yy], [xz], [yz], m(2)[-], [xx], [yy], [zz],
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// E1 E2 E2 A1 2B1
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[xz], [yz], [xy], [xx], [yy], [xy], [xx], [yy], [xx], [yy], [zz], [-], [-],
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[xz], [yz], [xy], [xx], [yy], [xy], [xx], [yy], [xx], [yy], [zz], m(2)[-],
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[*Raman Intensity (a.u.)*],
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// E2 E2 E1 2B1 A1
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m(3)[0.17], m(3)[1.13], m(2)[2.43], [0], [0], m(2)[2.83], [1.79],
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m(3)[0.17], m(3)[1.13], m(2)[2.43], m(2)[0], m(2)[2.83], [1.79],
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// E1 E2 E2 A1 2B1
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m(2)[0.09], m(3)[88.54], m(3)[0.50], m(2)[0.01], [1.78], [0], [0],
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[*Visible in Common #linebreak() Raman Experiment*],
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m(2)[0.09], m(3)[88.54], m(3)[0.50], m(2)[0.01], [1.78], m(2)[0],
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[*Visible in Common #linebreak() Raman Experiment or Not*],
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// E2 E2 E1 2B1 A1
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m(3)[Yes], m(3)[Yes], m(2)[Yes], [No], [No], m(3)[Yes],
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m(8)[Visible], m(2)[-], m(3)[Visible],
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// E1 E2 E2 A1 2B1
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m(2)[No], m(3)[Yes], m(3)[No], m(2)[No], [Yes], [No], [No],
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m(2)[Invisible], m(3)[Visible], m(5)[Invisible], [Visible], m(2)[-],
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[*Wavenumber #linebreak() (Simulation) (cm#super[-1])*],
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// E2 E2 E1 2B1 A1
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m(3)[190.51], m(3)[197.84], m(2)[257.35], [389.96], [397.49], m(3)[591.90],
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@@ -250,28 +262,38 @@ The atomic vibration amplitudes are listed separately in the Appendix.
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m(2)[746.91], m(3)[756.25], m(3)[764.33], m(3)[812.87], [885.68], [894.13],
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[*Wavenumber #linebreak() (Experiment) (cm#super[-1])*],
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// E2 E2 E1 2B1 A1
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m(3)[195.5], m(3)[203.3], m(2)[269.7], [-], [-], m(3)[609.5],
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m(3)[195.5], m(3)[203.3], m(2)[269.7], m(2)[-], m(3)[609.5],
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// E1 E2 E2 A1 2B1
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m(2)[-], m(3)[776], m(3)[-], m(2)[-], [839], [-], [-],
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m(2)[-], m(3)[776], m(5)[-], [839], m(2)[-],
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[*FWHM #linebreak() (Simulation) (cm#super[-1])*],
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// E2 E2 E1 2B1 A1
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m(3)[0.08], m(3)[0.09], m(2)[0.08], [-], [-], m(3)[0.61],
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m(3)[0.08], m(3)[0.09], m(2)[0.08], m(2)[-], m(3)[0.61],
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// E1 E2 E2 A1 2B1
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m(2)[3.97], m(3)[4.62], m(3)[4.01], m(3)[0.89], [-], [-],
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m(2)[3.97], m(3)[4.62], m(3)[4.01], m(3)[0.89], m(2)[-],
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[*FWHM #linebreak() (Experiment) (cm#super[-1])*],
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// E2 E2 E1 2B1 A1
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m(3)[1.11], m(3)[1.11], m(2)[1.11], [-], [-], m(3)[591.90],
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m(3)[1.11], m(3)[1.11], m(2)[1.11], m(2)[-], m(3)[591.90],
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// E1 E2 E2 A1 2B1
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m(2)[-], m(3)[1.11], m(3)[-], m(3)[1.11], [-], [-],
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m(2)[-], m(3)[1.11], m(3)[-], m(3)[1.11], m(2)[-],
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[*Electrical Polarity*],
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// E2 E2 E1 2B1 A1
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m(3)[None], m(3)[None], m(2)[Weak], [None], [None], m(3)[Weak],
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// E1 E2 E2 A1 2B1
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m(2)[Weak], m(3)[None], m(3)[None], m(3)[Weak], [None], [None],
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// E2 E2 E1 2B1 A1 E1 E2 E2 A1 2B1
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m(6)[None], m(2)[Weak], m(2)[None], m(5)[Weak], m(6)[None], m(3)[Weak], m(2)[None],
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)},
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caption: [Weak- and None-polarized phonons near $Gamma$ point],
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)<nopol>]
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#figure(
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image("/画图/拉曼整体图/main.svg"),
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caption: [
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(a) Phonon dispersion of 4H-SiC along the A–#sym.Gamma–K high-symmetry path.
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Gray lines represent negligible-polar phonon modes,
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while colored lines indicate strong-polar phonon modes.
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(b) Magnified view of the boxed region in (a).
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The orange dashed lines mark the phonon wavevectors involved in Raman scattering
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with incident light along the z- and y-directions.
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]
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)<raman>
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#page(flipped: true)[
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#figure({
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let m(n, content) = table.cell(colspan: n, content);
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BIN
画图/拉曼整体图/main.svg
LFS
BIN
画图/拉曼整体图/main.svg
LFS
Binary file not shown.
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