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Table 2 The color changes in L*, a* and b* axes (expressed as ΔL, Δa, and Δb values) at each experimental time point (HAP 1–3, HSF)

From: Tooth whitening with an experimental toothpaste containing hydroxyapatite nanoparticles

Group

Experimental time point

HAP 1

HAP 2

HAP 3

HSF

ΔL

    

10 wt% nano-HAP

2.30 (1.12)aA

2.70 (1.12)aA

2.76 (1.36)aA

2.09 (1.72)*

1 wt% nano-HAP

1.13 (0.73)bB

1.51 (1.20)bAB

1.78 (1.70)aA

1.30 (1.67)*

Without HAP

− 0.01 (0.42)bA

− 0.13 (0.68)cA

− 0.08 (0.73)bA

− 0.14 (0.87)

Water

0.01 (0.01)

0.01 (0.02)

0.00 (0.04)

0.00 (0.03)

Δa

    

10 wt% nano-HAP

− 0.21 (0.21)aA

− 0.75 (0.90)bB

− 0.95 (0.86)bB

− 0.82 (0.63)

1 wt% nano-HAP

0.05 (0.47)aA

− 0.20 (0.72)abA

− 0.31 (0.83)abA

− 0.25 (0.85)

Without HAP

0.05 (0.33)aA

0.09 (0.40)aA

0.12 (0.36)aA

0.12 (0.37)

Water

0.01 (0.02)

− 0.04 (0.04)

− 0.03 (0.06)

− 0.03 (0.05)

Δb

    

10 wt% nano-HAP

− 1.34 (0.64)bA

− 2.55 (1.84)bB

− 2.66 (1.90)cB

− 2.71 (1.86)

1 wt% nano-HAP

− 0.84 (0.63)abA

− 0.96 (0.83)aA

− 0.10 (0.83)bA

− 0.88 (0.94)

Without HAP

0.03 (0.47)aA

0.21 (0.96)aA

0.25 (0.96)aA

0.25 (0.93)

Water

0.00 (0.03)

− 0.01 (0.04)

0.02 (0.04)

0.01 (0.05)

  1. Results are shown as mean value (standard deviation)
  2. HAP 1: the first circle of nano-HAP application;
  3. HAP 2: the second circle of nano-HAP application;
  4. HAP 3: the third circle of nano-HAP application;
  5. HSF: application of hydrodynamic shear force;
  6. Lowercase letters indicate the differences between different groups at same experiment time point;
  7. Capital letters indicate the differences of the same group between different experiment time points;
  8. Different superscripts of individual letters indicate groups that statistically differed from any other group (P < 0.05);
  9. Same superscripts suggest that groups showed no significant differences (P > 0.05);
  10. From a (A) to c (C), the mean value is decreased;
  11. * indicates the significant differences between HAP 3 and HSF (P < 0.05)