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The effects of third-order torque and self - Saint Louis University

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added. Similarly, Bunkall 15 noted reductions in average<br />

kinetic friction <strong>and</strong> maximum static friction <strong>of</strong> 35 to 70%.<br />

Second-Order Angulation, Binding <strong>and</strong> Notching<br />

Several studies have shown that, as second-<strong>order</strong><br />

angulation between the bracket-slot <strong>and</strong> the archwire<br />

increases, friction also increases. 5,21,24,31,33,44,80,90<br />

Classical friction from ligating force is largely<br />

responsible for frictional resistance when the second-<strong>order</strong><br />

angulation is less than the angle at which binding occurs. 5<br />

This angle is called “critical” <strong>and</strong> is defined as the<br />

second-<strong>order</strong> angulation at which the wire just contacts two<br />

diagonally opposing edges <strong>of</strong> the bracket-slot, reducing the<br />

wire-slot clearance to zero. 91 When the angle exceeds the<br />

critical value for the bracket-archwire combination,<br />

binding becomes an influential factor in resistance to<br />

sliding. 92 Factors that affect binding are archwire size,<br />

bracket-slot geometry, <strong>and</strong> interbracket distances. 57<br />

Thorstenson <strong>and</strong> Kusy 93 reported that ligation type seemed to<br />

have an effect on only classical friction because they did<br />

not influence binding when the brackets were positioned at<br />

an angulation beyond the critical contact angle.<br />

If the wire-slot angulation substantially exceeds the<br />

critical contact angle, a physical deformation <strong>of</strong> a round<br />

29

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