Mode data sets: Torodial modes frequency, Q, and splitting coefficients

Center frequencies f, quality factors Q, and degree 2 splitting function coefficients for the 11 toroidal modes used in this study. For each mode the first row contains the results for a starting model that consists of rotation and ellipticity plus SKS12WM13, and the second row lists the associated standard deviations; these are the results used to produce Figures 2 and 3. To demonstrate that the splitting coefficients are reasonably robust, we list the results for a starting model that consists of rotation and ellipticity only in the third row. The fact that we have roughly half as many recordings for modes 0T4 and 0T5 as we do for the other modes is reflected in the relatively poor agreement between the splitting coefficients obtained for the different starting models. The tabulated coefficients Ast and Bst are related to the complex splitting function coefficients cst defined by $c_{st}=(-1)^t(2\pi)^{1/2}(A_{st}-iB_{st})$ for t>0, $c_{st}=(4\pi)^{1/2}A_{st}$ for t=0, and $c_{st}=(2\pi)^{1/2}(A_{s\vert t\vert}+iB_{s\vert t\vert})$, for t<0 (Li et al., 1991). The center frequencies are listed in $\mu$Hz and the coefficients are listed in unit of 10-6.

Also available as tab-delimited text file.
ModefQA20A21B21A22B22
0T4 765.83 195 57 102 184 -20 -664
0.44 48 304 412 348 388 389
765.86 196 -101 34 -145 393 -512
0T5 928.87 192 178 -498 -3 -52 -631
0.40 37 253 395 318 412 284
929.17 179 68 -370 -276 221 -29
0T6 1079.17 215 252 -561 66 -328 -993
0.20 10 170 208 220 216 242
1079.23 240 257 -516 15 -330 -953
0T7 1220.97 194 263 -198 216 -157 -1244
0.37 15 322 373 437 407 419
1221.01 194 214 -197 234 -162 -1143
0T8 1356.43 186 25 -558 113 156 -1169
0.35 29 236 286 293 309 326
1356.87 187 143 -513 -145 456 -723
0T9 1487.14 189 114 -518 56 213 -1367
0.23 18 181 170 230 195 234
1487.46 190 158 -195 -285 211 -873
1T1 1235.06 230 48 -95 -148 443 18
0.67 25 46 474 212 243 287
1235.49 206 97 -2 -204 329 230
1T2 1319.07 283 -415 -112 14 229 -294
0.32 20 86 294 266 247 256
1319.28 321 -318 -76 -68 197 -279
1T3 1438.37 255 -115 -59 98 -404 -519
0.50 53 313 428 516 488 437
1438.35 257 -89 -3 111 -563 -546
1T4 1585.20 287 86 -191 75 -567 -823
0.70 81 302 523 537 423 482
1585.32 309 101 -53 -258 -23 -538
1T6 1925.29 252 376 -240 156 -1040 -1066
0.38 36 213 201 284 285 305
1925.41 248 193 -150 -146 -731 -907


Jeroen Tromp, Department of Earth and Planetary Sciences, Harvard University.
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Last modified: Thu Jan 29 11:58:27 EST