Table 2.
Quantification of the first and second molar movements, at anteroposterior, vertical, and transverse directions, according to the HG pull and magnitude of force
| Tooth | Points | Coordinate | Quantification of movement (×10−3 mm) | |||||
|---|---|---|---|---|---|---|---|---|
| Low pull | High pull | Combined pull | ||||||
| 450 gf | 200 gf | 500 gf | 200 gf | 150 gf/150 gf | 100 gf/100 gf | |||
| First molar | Crown | |||||||
| CMB | x | −0.3563 | −0.1582 | −0.0827 | −0.0330 | −0.1366 | −0.0911 | |
| y | 0.3004 | 0.1335 | 0.5167 | 0.2066 | 0.2570 | 0.1713 | ||
| z | 1.5992 | 0.7103 | 1.4753 | 0.5898 | 0.9629 | 0.6418 | ||
| CDB | x | −0.4943 | −0.2195 | −0.1578 | −0.0631 | −0.2033 | −0.1355 | |
| y | −0.0125 | −0.0055 | 0.2696 | 0.1079 | 0.0815 | 0.0544 | ||
| z | 0.4791 | 0.2130 | 0.6867 | 0.2748 | 0.3659 | 0.2440 | ||
| CML | x | 0.4528 | 0.2007 | 0.5076 | 0.2027 | 0.3009 | 0.2004 | |
| y | −0.1989 | −0.0884 | −0.0808 | −0.0323 | −0.0871 | −0.0581 | ||
| z | 1.1112 | 0.4936 | 1.0832 | 0.4331 | 0.6874 | 0.4582 | ||
| CDL | x | 0.3127 | 0.1385 | 0.4004 | 0.1598 | 0.2236 | 0.1489 | |
| y | −0.2456 | −0.1090 | −0.1718 | −0.0686 | −0.1305 | −0.0870 | ||
| z | 0.2066 | 0.0921 | 0.3934 | 0.1576 | 0.1886 | 0.1259 | ||
| Root | ||||||||
| AMB | x | −0.3529 | −0.1566 | −0.2535 | −0.1012 | −0.1897 | −0.1264 | |
| y | 0.3132 | 0.1392 | 0.5190 | 0.2076 | 0.2616 | 0.1744 | ||
| z | −0.0618 | −0.0275 | −0.1689 | −0.0676 | −0.0727 | −0.0485 | ||
| ADB | x | −0.3348 | −0.1490 | −0.3785 | −0.1516 | −0.2238 | −0.1493 | |
| y | 0.1648 | 0.0732 | 0.2564 | 0.1025 | 0.1323 | 0.0882 | ||
| z | 0.0102 | 0.0045 | −0.0099 | −0.0040 | 0.0000 | −0.0000 | ||
| AL | x | −0.1809 | −0.0801 | −0.1218 | −0.0486 | −0.0946 | −0.0630 | |
| y | −0.1643 | −0.0730 | −0.0611 | −0.0244 | −0.0702 | −0.0468 | ||
| z | −0.0751 | −0.0333 | −0.1288 | −0.0515 | −0.0641 | −0.0427 | ||
| Second molar | Crown | |||||||
| CMB | x | −0.3817 | −0.1696 | −0.1041 | −0.0416 | −0.1514 | −0.1009 | |
| y | −0.0696 | −0.0309 | 0.1015 | 0.0407 | 0.0106 | 0.0071 | ||
| z | 0.0843 | 0.0377 | 0.2831 | 0.1134 | 0.1158 | 0.0773 | ||
| SOD | x | −0.2720 | −0.1208 | −0.0520 | −0.0208 | −0.1009 | −0.0672 | |
| y | 0.0289 | 0.0129 | 0.0588 | 0.0235 | 0.0276 | 0.0184 | ||
| z | −0.1529 | −0.0680 | 0.0610 | 0.0244 | −0.0281 | −0.0187 | ||
| SOL | x | −0.0768 | −0.0338 | 0.1300 | 0.0522 | 0.0173 | 0.0116 | |
| y | −0.0381 | −0.0169 | −0.0283 | −0.0113 | −0.0207 | −0.0138 | ||
| z | −0.0214 | −0.0094 | 0.1964 | 0.0787 | 0.0555 | 0.0371 | ||
| Root | ||||||||
| AMB | x | −0.0434 | −0.0193 | −0.0856 | −0.0343 | −0.0406 | −0.0271 | |
| y | −0.0119 | −0.0052 | 0.0722 | 0.0289 | 0.0192 | 0.0128 | ||
| z | 0.0076 | 0.0034 | −0.0001 | −0.0000 | 0.0021 | 0.0014 | ||
| ADB | x | −0.0486 | −0.0216 | −0.0654 | −0.0262 | −0.0358 | −0.0239 | |
| y | 0.0092 | 0.0041 | 0.0791 | 0.0317 | 0.0279 | 0.0186 | ||
| z | −0.0089 | −0.0040 | −0.0244 | −0.0098 | −0.0105 | −0.0070 | ||
| AL | x | −0.0161 | −0.0072 | −0.0192 | −0.0077 | −0.0111 | −0.0074 | |
| y | −0.0044 | −0.0020 | −0.0106 | −0.0043 | −0.0047 | −0.0031 | ||
| z | −0.0223 | −0.0100 | −0.0320 | −0.0128 | −0.0171 | −0.0114 | ||
Abbreviations: x coordinate anteroposterior direction, y coordinate vertical direction, z coordinate transverse direction, CMB mesiobuccal cusp, CDB distobuccal cusp, CML mesiolingual cusp, CDL distolingual cusp, SOD occluso-distal surface, SOL occluso-lingual surface, AMB mesiobuccal root apex, ADB distobuccal root apex, AL lingual root apex