Table 2 Force distribution within clear aligner and comparisons of the forces in group A1–4
Tooth number | Force direction | A1 | A2 | A3 | A4 |
|---|---|---|---|---|---|
37 | Fx | 0.29 ± 0.02 | 0.22 ± 0.26 | 0.38 ± 0.04 | 0.36 ± 0.67 |
Fy | -0.89 ± 0.01 | 1.72 ± 3.15 | 2.18 ± 3.71 | -0.56 ± 0.78 | |
Fz | -0.65 ± 0.06 | -1.69 ± 1.93 | 0.11 ± 0.88 | -0.57 ± 0.08 | |
36 | Fx | -2.31 ± 0.09 | -2.09 ± 0.35 | -1.77 ± 0.44 | -2.07 ± 0.12 |
Fy | -1.95 ± 0.39 | -3.22 ± 1.59 | -7.43 ± 1.86 | -8.79 ± 0.40 | |
Fz | 3.40 ± 0.05 | 3.27 ± 0.56 | 2.40 ± 0.25 | 2.56 ± 0.15 | |
35 | Fx | 0.51 ± 0.07 | 0.65 ± 0.11 | -0.53 ± 1.14 | -1.39 ± 0.19 |
Fy | -1.51 ± 0.37 | -1.67 ± 0.32 | -3.97 ± 1.21 | -4.82 ± 0.29 | |
Fz | -8.83 ± 0.12 | -9.10 ± 0.14 | -9.90 ± 0.71 | -10.42 ± 0.14 | |
33 | Fx | 2.84 ± 0.49 | 3.14 ± 0.29 | 0.13 ± 2.78 | -1.91 ± 0.62 |
Fy | -5.73 ± 0.24 | -5.38 ± 0.28 | -5.53 ± 0.39 | -5.25 ± 0.11 | |
Fz | 6.06 ± 0.14 | 6.21 ± 0.11 | 6.55 ± 0.31 | 6.76 ± 0.06 | |
32 | Fx | 7.98 ± 0.78 | 7.76 ± 0.13 | 5.04 ± 2.30 | 3.40 ± 0.54 |
Fy | -5.07 ± 0.39 | -4.58 ± 0.17 | -4.13 ± 0.69 | -3.59 ± 0.13 | |
Fz | 19.49 ± 0.24 | 19.43 ± 0.08 | 19.23 ± 0.16 | 19.09 ± 0.02 | |
31 | Fx | 13.10 ± 2.93 | 13.76 ± 0.16 | 10.70 ± 2.60 | 8.80 ± 0.61 |
Fy | -3.18 ± 0.63 | -2.30 ± 0.16 | -2.78 ± 0.08 | -2.80 ± 0.02 | |
Fz | 17.47 ± 2.01 | 18.47 ± 0.12 | 18.99 ± 0.21 | 19.16 ± 0.07 | |
41 | Fx | 5.52 ± 2.00 | 6.45 ± 1.20 | 3.62 ± 1.96 | 2.16 ± 0.42 |
Fy | -3.84 ± 1.94 | -6.17 ± 0.26 | -3.44 ± 2.33 | -1.72 ± 0.61 | |
Fz | 13.29 ± 1.02 | 14.53 ± 1.48 | 14.54 ± 0.37 | 14.26 ± 0.02 | |
42 | Fx | 7.70 ± 0.81 | 7.32 ± 0.09 | 4.19 ± 2.56 | 2.32 ± 0.59 |
Fy | -5.46 ± 0.47 | -5.49 ± 0.09 | -3.27 ± 1.82 | -1.99 ± 0.45 | |
Fz | 13.50 ± 0.47 | 12.82 ± 0.15 | 13.20 ± 0.03 | 13.16 ± 0.01 | |
43 | Fx | 0.53 ± 0.09 | 0.63 ± 0.02 | 0.29 ± 0.30 | 0.09 ± 0.08 |
Fy | -3.06 ± 0.05 | -3.17 ± 0.05 | -3.00 ± 0.16 | -2.85 ± 0.02 | |
Fz | 12.17 ± 0.08 | 12.14 ± 0.06 | 12.01 ± 0.17 | 11.88 ± 0.01 | |
45 | Fx | -1.25 ± 0.08 | -1.23 ± 0.06 | -1.14 ± 0.12 | -1.03 ± 0.04 |
Fy | -4.86 ± 0.12 | -4.96 ± 0.07 | -4.00 ± 0.74 | -3.45 ± 0.17 | |
Fz | -0.87 ± 0.10 | -0.90 ± 0.09 | -1.20 ± 0.16 | -1.35 ± 0.03 | |
46 | Fx | -12.62 ± 0.06 | -12.87 ± 0.26 | -13.51 ± 0.50 | -13.91 ± 0.15 |
Fy | -4.18 ± 0.15 | -4.26 ± 0.09 | -2.96 ± 1.03 | -2.18 ± 0.21 | |
Fz | 4.13 ± 0.09 | 3.81 ± 0.40 | 4.40 ± 0.55 | 4.71 ± 0.21 | |
47 | Fx | -4.87 ± 0.05 | -4.59 ± 0.17 | -4.89 ± 0.23 | -5.02 ± 0.07 |
Fy | -2.44 ± 0.02 | -2.51 ± 0.13 | -1.26 ± 1.06 | -0.54 ± 0.23 | |
Fz | -5.58 ± 0.09 | -6.36 ± 1.79 | -5.91 ± 0.50 | -6.21 ± 0.12 |