Assuming that teeth and alveolar bone were rigid bodies and the periodontal ligament was an elastic membrane, the initial mobility of the upper and lower teeth was calculated. The degree of tooth mobility was shown as fundamental data. In general, mobility decreases with the surface area of the root. The mobility about mesio-distal axis(
t axis)
θt / Mt is almost proportionally inverse to the surface area. The mobility also depends on the root configuration. The meiso-distal mobility
δt / Pt is smaller than the bucco(labio)-lingual mobility
δn / Pn because the thickness of the root h is greater than the width w. In the case of molars and the upper first premolar, which have two or three roots, the mobility about vertical axis(z axis)
θz / Mt was very small. On the other hand,
θz / Mt of the upper second incisor, which has a root with a circular cross section, became very large.
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