调整图片
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@@ -1,7 +1,12 @@
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#import "@preview/starter-journal-article:0.4.0": article, author-meta
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#import "@preview/starter-journal-article:0.4.0": article, author-meta
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#import "@preview/tablem:0.2.0": tablem
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#import "@preview/tablem:0.2.0": tablem
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#set par.line(numbering: "1")
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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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}
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#show: article.with(
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#show: article.with(
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title: "Article Title",
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title: "Article Title",
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authors: (
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authors: (
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@@ -56,7 +61,7 @@ They could be probed by various experimental techniques,
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Among these techniques,
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Among these techniques,
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Raman spectroscopy is the most commonly used method,
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Raman spectroscopy is the most commonly used method,
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as it provides non-destructive, non-contact, rapid and spatially localized measurement of phonons
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as it provides non-destructive, non-contact, rapid and spatially localized measurement of phonons
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that near the $Gamma$ point in reciprocal space.
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that near the #sym.Gamma point in reciprocal space.
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Studies in Raman scattering of 4H-SiC have been conducted since as early as 1983
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Studies in Raman scattering of 4H-SiC have been conducted since as early as 1983
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and have been widely employed to identification of different SiC polytypes.
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and have been widely employed to identification of different SiC polytypes.
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@@ -86,18 +91,25 @@ In this paper, we do some things. We do something for the first time.
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// 拉曼活性的声子模式对应于 Gamma 点附近的声子模式。
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// 拉曼活性的声子模式对应于 Gamma 点附近的声子模式。
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// 根据这些声子模式的极性,我们将这些声子分成两类。
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// 根据这些声子模式的极性,我们将这些声子分成两类。
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Raman scattering peeks correspond to phonons located near the $Gamma$ point in reciprocal space.
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Raman scattering peeks correspond to phonons located near the #sym.Gamma point in reciprocal space.
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We classified these phonons into two categories based on their polarities:
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We classified these phonons into two categories based on their polarities:
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(i) negligible-polar phonons (i.e., phonons with no polarity or very weak polarity),
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(i) negligible-polar phonons (i.e., phonons with no polarity or very weak polarity),
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whose dispersion curves are continuous near the Γ point (as shown in @phonon),
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whose dispersion curves are continuous near the #sym.Gamma point (as shown in @phonon),
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and for which the effect of polarity can be ignored in the Raman scattering process;
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and for which the effect of polarity can be ignored in the Raman scattering process;
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and (ii) strong-polar phonons,
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and (ii) strong-polar phonons,
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whose dispersion curves exhibit discontinuity near the Γ point (also shown in @phonon),
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whose dispersion curves exhibit discontinuity near the #sym.Gamma point (also shown in @phonon),
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where the polarity gives rise to observable effects in the Raman spectra.
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where the polarity gives rise to observable effects in the Raman spectra.
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#figure(
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#figure(
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image("/画图/声子不连续/整体图.svg", width: 80%),
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image("/画图/声子不连续/main.svg"),
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caption: [Weak- and None-polarized phonons near $Gamma$ point],
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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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placement: none
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placement: none
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)<phonon>
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)<phonon>
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@@ -108,16 +120,16 @@ We classified these phonons into two categories based on their polarities:
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// 尽管拉曼过程中起作用的声子并不是那些严格在 Gamma 点的,
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// 尽管拉曼过程中起作用的声子并不是那些严格在 Gamma 点的,
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// 但这些声子模式的散射谱在 Gamma 附近连续且导数为零,且波矢很小(在本文中大约 0.01 A,只有c轴的大约2%)。
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// 但这些声子模式的散射谱在 Gamma 附近连续且导数为零,且波矢很小(在本文中大约 0.01 A,只有c轴的大约2%)。
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// 因此,它们的性质与 Gamma 点的声子模式区别不大。
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// 因此,它们的性质与 Gamma 点的声子模式区别不大。
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Phonons at the $Gamma$ point were used
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Phonons at the #sym.Gamma point were used
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to approximate negligible-polar phonons that participating in Raman processes.
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to approximate negligible-polar phonons that participating in Raman processes.
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This approximation is widely adopted and justified by the fact that,
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This approximation is widely adopted and justified by the fact that,
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although the phonons participating in Raman processes are not these strictly located at the $Gamma$ point,
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although the phonons participating in Raman processes are not these strictly located at the #sym.Gamma point,
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their dispersion near the $Gamma$ point is continuous with vanishing derivatives,
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their dispersion near the #sym.Gamma point is continuous with vanishing derivatives,
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and their wavevector is very small
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and their wavevector is very small
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(about 0.01 AA in this paper, which corresponds to only 2% of the smallest reciprocal lattice vector of 4H-SiC).
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(about 0.01 AA in this paper, which corresponds to only 2% of the smallest reciprocal lattice vector of 4H-SiC).
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// TODO: 确认这个数值
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// TODO: 确认这个数值
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Therefore, negligible-polar phonons involved in Raman processes
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Therefore, negligible-polar phonons involved in Raman processes
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have nearly indistinguishable properties from those at the $Gamma$ point.
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have nearly indistinguishable properties from those at the #sym.Gamma point.
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// 4H-SiC 在 Gamma 有 21 个distinct phonons,其中极性较弱的有 18 个。这些模式对应于点群 $\mathrm{C_{6v}}$ 的 12 个表示($\mathrm{3A_1+4B_1+3E_1+4E_2}$。
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// 4H-SiC 在 Gamma 有 21 个distinct phonons,其中极性较弱的有 18 个。这些模式对应于点群 $\mathrm{C_{6v}}$ 的 12 个表示($\mathrm{3A_1+4B_1+3E_1+4E_2}$。
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// 对于非极性声子的拉曼散射,我们将使用 Gamma 点的声子模式来近似描述。
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// 对于非极性声子的拉曼散射,我们将使用 Gamma 点的声子模式来近似描述。
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