paper/result/perfect/non-polar/default.typ

@@ -13,23 +13,22 @@ This approximation is based on the fact that
 18 个声子属于 12 个表示。拉曼张量的形状可以确定，大小不能。
 
 这些声子的拉曼张量的形状可以通过对称性分析来确定。
-Gamma 点声子满足 C#sub[6v] 点群对称性，18 个模式包含了 2A#sub[1] + 4B#sub[1] + 2E#sub[1] + 4E#sub[2] 共 12 个表示；
-  其中简并表示（E1 和 E2）的拉曼张量的形状可以通过进一步考虑在 C#sub[2v] 点群中的表示来确定，如表所示。
+18 个 Gamma 点的弱极性声子包含了 C#sub[6v] 点群的12 个不可约表示（2A#sub[1] + 4B#sub[1] + 2E#sub[1] + 4E#sub[2]）。
+通过进一步考虑 C#sub[6v] 中简并表示（E1 和 E2）在 C#sub[2v] 中的表示，所有声子的拉曼张量的非零分量可以确定，如表所示。
 其中，B#sub[1] 模式具有零拉曼张量，不参与拉曼散射；
   其它表示的模式具有非零拉曼张量分量，可能可以在适当的偏振配置下在拉曼实验中观察到。
 然而，模式是否足够强以在实验中可见取决于其拉曼张量分量的大小，而仅通过对称性分析无法确定这些大小。
 
-// Representation of these 18 phonons, and the shape of their Raman tensors could be determined in advance.)
-Phonons at the #sym.Gamma point satisfy the C#sub[6v] point group symmetry,
-  and the 18 negligible-polar phonons correspond to 12 irreducible representations of the C#sub[6v] point group:
-  2A#sub[1] + 4B#sub[1] + 2E#sub[1] + 4E#sub[2].
-Phonons belonging to the A#sub[1] and B#sub[1] representations vibrate along the z-axis and are non-degenerate,
-  while those belonging to the E#sub[1] and E#sub[2] representations vibrate in-plane and are doubly degenerate.
-Phonons of the B#sub[1] representation are Raman-inactive, as their Raman tensors vanish.
-In contrast, phonons of the other representations are Raman-active,
-  and the non-zero components of their Raman tensor
-  can be determined by further considering their representation in the C#sub[2v] point group (see @table-rep).
-These Raman-active phonons are potentially be visible in Raman experiment under appropriate polarization configurations.
+The form of the Raman tensors (i.e., which components are non-zero) could be determined by symmetry analysis.
+The 18 negligible-polar phonons at the #sym.Gamma point
+  correspond to twelve irreducible representations of the C#sub[6v] point group
+  (2A#sub[1] + 4B#sub[1] + 2E#sub[1] + 4E#sub[2]).
+By further considering the doubly degenerate modes of the C#sub[6v] (E#sub[1] and E#sub[2])
+    in the C#sub[2v] point group,
+  the form of the 18 negligible-polar phonons' Raman tensors can be determined, as shown in @table-rep.
+Phonons of the B#sub[1] representation in C#sub[6v] have a zero Raman tensor and do not contribute to Raman scattering,
+  while other phonons have non-zero Raman tensor components,
+  indicating they may be observable in Raman experiments under appropriate incidence and polarization configurations.
 However, whether a mode is sufficiently strong to be experimentally visible
     depends on the magnitudes of its Raman tensor components,
   which cannot be determined solely from symmetry analysis.