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. 2022 Mar 16;10:840622. doi: 10.3389/fbioe.2022.840622

TABLE 2.

Forces (F, in cN) and moments (M, in cNmm) in all three axes at 1.35 mesial and 1.35 distal rotations. When the test tooth is 1.35 mesial rotated, forces and moments are created to disto-rotate the tooth (Mx positive).

Attachment x-Axis y-Axis z-Axis
Fx Mx Fy My Fz Mz
+ (extrusion) /− (intrusion) + (distal rotation) /− (mesial rotation) + (distal) /− (mesial) + (lingual root torque) /− (buccal root torque) + (lingual) /− (buccal) + (distal tipping) /− (mesial tipping)
Tooth Rotation 1.35° Mesial 1.35° Distal 1.35° Mesial 1.35° Distal 1.35° Mesial 1.35° Distal 1.35° Mesial 1.35° Distal 1.35° Mesial 1.35° Distal 1.35° Mesial 1.35° Distal
Group 1: “Rectangular Vertical” VRecUp −32 −22 2,535 −2,870 4 −15 −2,372 1,212 80 −37 602 −573
VRecDOWN −12 −19 1775 −2,984 −22 −53 −693 1,634 19 −57 −281 −1,304
Group 2: “Rectangular Horizontal” HRecR −45 18 2,661 −2,507 0 −6 −1,475 955 51 −17 420 −937
HRecL 2 −10 1,108 −1,354 12 −13 −849 −316 23 14 339 −442
3Shape®Box −44 22 2020 −1707 −5 0 −462 38 −17 5 129 −140
Bevelled −12 3 646 −2,705 −5 −13 581 461 −23 −16 −88 −278
Group 3: “Ellipsoid Vertical” Vellipsoid −22 7 1,254 −1,463 6 −22 −572 972 16 −29 224 −728
Group 4: “Ellipsoid Horizontal” Hellipsoid −42 −5 1,623 −819 8 −9 −897 23 36 3 478 −256
HemiEllipR −24 35 1779 −1,228 13 5 −575 166 15 −11 504 −99
HemiEllipL −48 22 2,594 -1702 13 −19 −1,693 499 64 −19 756 −700
Group 5: “Other” ElliPair 1 −8 1,560 −2,643 −3 −27 −351 729 11 −26 −23 −731
NoAtt −2 −23 828 −862 11 −10 −416 785 14 −24 517 −254
= highest
= lowest