Measurement of toothpaste abrasion
Anders LiljeborgGunnar Johannsen
Earlier measurements
HeNe laser
Plexi-sample
Photo diode
Voltmeter
Surface profilometer, KLA-Tencor P15
Diamond stylus, 2 micron radius
Vertical resolution a few nanometers
117 mm
25 mm
20 mm 20 mmBlank profile
Center profile, 2000 points
Center, +20mm and -20mm profiles
Nonflat plexi surface
Compensated by fit of 3:rd order polynomial to 50 first and last points
Comparison with “blank” profile at lower end of plexi sample,note bad fit to the left, good fit to the right.
File Mean depth [um] M.d. sdev RA [um] RA sdev Area [um 2̂] Area sdev Volume [mm 3̂] Volume sdevacta-pepparmint -23.02 1.44 5.73 0.61 232457 12127 9.27 0.50acta-x -25.19 1.47 4.83 1.25 238600 6734 9.68 0.26apotekets -9.33 0.45 0.84 0.33 90556 4589 3.68 0.17awaguard-990318 -2.74 0.73 0.56 0.12 34637 3642 1.39 0.18bamse -8.82 0.77 0.96 0.26 89042 6222 3.55 0.25bamse-barn-990307 -7.34 0.68 1.20 0.24 74957 6263 2.98 0.22biotene-990322 -16.10 0.92 2.50 0.15 165831 2603 6.73 0.09clinomyn-990323 -9.06 1.25 1.69 0.12 101351 7484 4.24 0.39clinomyn-990409 -17.52 2.28 1.99 0.41 173425 5105 6.91 0.23colgate-total -10.09 0.64 1.35 0.47 104475 6358 4.24 0.18colgate-total-990322 -18.41 3.01 1.77 0.16 180280 11774 7.25 0.44correga-dentogel -0.14 0.08 0.03 0.01 1953 1740 0.09 0.08dentosal-junior-990324 -4.19 0.67 0.66 0.07 45250 8099 1.84 0.39dentosal-original -0.33 2.26 0.19 0.13 24014 13233 0.90 0.38sensodyne-bikarbonat -7.77 0.98 1.25 0.33 77730 7685 3.13 0.36sensodyne-fluor-990326 -5.66 1.92 1.27 0.26 66581 17072 2.70 0.83zendin-dentin-990330 -6.89 0.13 1.34 0.18 67088 2428 2.64 0.08zendin-dentin-990409 -8.25 0.52 0.95 0.52 86843 3745 3.46 0.15zendin-frisk-mun -9.83 0.83 0.87 0.32 97525 5542 3.92 0.25zendin-pepparmint-990324 -6.12 0.19 0.92 0.26 64048 3159 2.55 0.12
RA (Roughness Average) = mean deviation from mean depth value
RA = sum ( abs( mean – y ) ) / length
RA and mean depth computed for center 20% of profile
-30.00 -25.00 -20.00 -15.00 -10.00 -5.00 0.000
25000
50000
75000
100000
125000
150000
175000
200000
225000
250000
Area vs. Depth
Depth [um]
Are
a [u
m̂2]
-30.00 -25.00 -20.00 -15.00 -10.00 -5.00 0.000.00
1.00
2.00
3.00
4.00
5.00
6.00
7.00
8.00
9.00
10.00
Volume vs. Depth
Depth [um]
Vol
ume
[mm̂
3]
-30.00 -25.00 -20.00 -15.00 -10.00 -5.00 0.000.00
0.50
1.00
1.50
2.00
2.50
3.00
3.50
4.00
4.50
5.00
5.50
6.00
RA vs. Depth
Depth [um]
RA
[um
]
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