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SiC-2nd-paper/paper/appendix/predmode.typ
2025-06-22 16:43:54 +08:00

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// Raman Tensor for A1: line1 xx/yy; line2 zz
// Raman Tensor for E1: x-dirc xz or y-dirc yx
// Raman Tensor for E2: x-dirc xy or y-dirc xx or y-dirc -yy
// TODO: remove LO TO or not?
#page(flipped: true)[#figure({
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 m4(content) = table.cell(colspan: 4, content);
set text(size: 9pt);
set par(justify: false);
table(columns: 11, align: center + horizon, inset: (x: 3pt, y: 5pt),
[*Representation in C#sub[6v]*], m3[A#sub[1]], m3[E#sub[1]], m4[E#sub[2]],
[*Relative Vibration Direction*],
[Si: $+-+-$ #linebreak() C: $0000$], [Si: $0000$ #linebreak() C: $+-+-$], [Si: $++++$ #linebreak() C: $----$],
[Si: $+-+-$ #linebreak() C: $-+-+$], [Si: $+-+-$ #linebreak() C: $+-+-$], [Si: $++++$ #linebreak() C: $----$],
[Si: $++--$ #linebreak() C: $-++-$], [Si: $+--+$ #linebreak() C: $++--$],
[Si: $++--$ #linebreak() C: $+--+$], [Si: $+--+$ #linebreak() C: $--++$],
[*Vibration Direction*], m3[z], m3[x/y], m4[x/y],
[*Raman Tensor Predicted*], [xx/yy: $-2A_#text[Si] epsilon_5$ #linebreak() zz: $-2A_#text[Si]epsilon_6$],
[xx/yy: $-2A_#text[C]zeta_5$ #linebreak() zz: $-2A_#text[C]zeta_6$],
[xx/yy: $2A_#text[Si] (2a_5+epsilon_5) + 2A_#text[C] (2a_5+eta_5+zeta_5)$ #linebreak() zz: $2A_#text[Si] (2a_6+epsilon_6) + 2A_#text[C] (2a_6+eta_6+zeta_6)$],
[xz/yz: $-2A_#text[Si]epsilon_1-2A_#text[C]zeta_1$],
[xz/yz: $-2A_#text[Si]epsilon_1+2A_#text[C]zeta_1$],
[xz/yz: $2A_#text[Si] (2a_1+epsilon_1) +2A_#text[C] (2a_1+2eta_1+zeta_1))$],
[xx/-yy/xy: $2A_#text[Si] (2a_2+epsilon_2) -2A_#text[C] (2a_2+2eta_2+zeta_2))$],
[xx/-yy/xy: $-2A_#text[Si]epsilon_2-2A_#text[C]zeta_2$],
[xx/-yy/xy: $2A_#text[Si] (2a_2+epsilon_2) +2A_#text[C] (2a_2+2eta_2+zeta_2))$],
[xx/-yy/xy: $-2A_#text[Si]epsilon_2+2A_#text[C]zeta_2$],
[*Raman Intensity Predicted*], m2[weak], [strong], m2[weak], [strong], m2[weak], [strong], [weak],
[*Raman Tensor Calculated*],
[-1.68 #linebreak() 1.34], [0.10 #linebreak() -1.33], [-7.68 #linebreak() 21.65],
[-1.56], [-0.30], [7.32], [-0.41], [1.06], [9.41], [-0.71],
// [*x*], [1 axial acoustic], [0 axial optical], [1 axial optical],
// [0 axial acoustic], [1 axial optical], [1 axial optical],
// m2[0.5 acoustic], m2[0.5 optical],
[*Type*], [axial acoustic], [axial optical], [longitudinal optical],
[planer acoustic], [planer optical], [transverse optical],
m2[planer acoustic], m2[planer optical],
[*Move-towards Atom-pairs* (In-plane/Out-plane)], [4/0], [0/4], [4/4], [0/4], [4/0], [4/4], [0/2], [2/0], m2[4/2],
// [*Predicted Frequency*], [low], [medium], [high], [medium], [low], [high], [low], [medium], m2[high],
[*Calculated Frequency*],
[591.90], [812.87], [933.80], [257.35], [746.91], [776.57], [190.51], [197.84], [756.25], [764.33]
)},
caption: [Predicted modes and their "Raman tensor"],
placement: none,
)<table-predmode>]