diff --git a/test-typst/main.typ b/test-typst/main.typ index b4520b8..c45e92a 100644 --- a/test-typst/main.typ +++ b/test-typst/main.typ @@ -125,7 +125,7 @@ Phonons at the #sym.Gamma point were used This approximation is widely adopted and justified by the fact that, although the phonons participating in Raman processes are not these strictly located at the #sym.Gamma point, their dispersion near the #sym.Gamma point is continuous with vanishing derivatives, - and their wavevector is very small (about 0.01 nm#sub([-1]) in this paper, + and their wavevector is very small (about 0.01 nm#super[-1] in this paper, which corresponds to only 1% of the smallest reciprocal lattice vector of 4H-SiC), as shown by the orange dotted line in @phonon. Therefore, negligible-polar phonons involved in Raman processes @@ -138,12 +138,25 @@ There are 21 distinct phonons at the #sym.Gamma point in 4H-SiC. Among them, 18 phonons are classified as negligible-polar phonons. This classification is based on the fact that the four Si atoms in the primitive cell carry similar Born effective charges (BEC), - as do the four C atoms. // TODO: refer + as do the four C atoms, as shown in @bec. In these 18 modes, the vibrations of two Si atoms are approximately opposite to those of the other two Si atoms, and similarly for the C atoms, leading to cancellations of macroscopic polarity. -These phonon modes correspond to twelve irreducible representations of the $\mathrm{C_{6v}}$ point group: $\mathrm{3A_1 + 4B_1 + 3E_1 + 4E_2}$. +#figure( + table(columns: 4, align: center + horizon, + table.cell(colspan: 2)[], table.cell(colspan: 2)[*BEC*], + table.cell(colspan: 2)[], [x / y direction], [z direction], + table.cell(rowspan: 2)[Si atom], [A/C layer], [2.667], [2.626], + [B layer], [2.674], [2.903], + table.cell(rowspan: 2)[C atom], [A/C layer], [-2.693], [-2.730], + [B layer], [-2.648], [-2.800], + ), + caption: [Born effective charges of Si and C atoms in A/B/C/B layers of 4H-SiC.] +) + + +// These phonon modes correspond to twelve irreducible representations of the $\mathrm{C_{6v}}$ point group: $\mathrm{3A_1 + 4B_1 + 3E_1 + 4E_2}$. 18 of them are classified as negligible-polar phonons,