A phacoemulsification tip, comprising - an at least partially straight shaft; - a cutting edge portion at the distal end of the shaft, wherein the cutting edge portion comprises at least a first and a second bend (102,104) and a distal end point; - the tip being configured to be vibrated ultrasonically torsionally when used with a phacoemulsification handpiece comprising an ultrasonic driving mechanism, whereby the ultrasonic torsional vibration of the tip results in at least two motions, comprising: - lateral displacement of the tip perpendicular to an axis collinear with a straight shaft portion and perpendicular to an axis of a bend of the tip; - twist angle along the axis collinear with a straight shaft portion of the tip; wherein the geometry of the shaft and the at least first and second bend is configured to result, during ultrasonic torsional vibration of the tip, in a lateral displacement of the shaft, perpendicular to the shaft, of less than approximately 5 to 25% of the lateral displacement of the distal end point of the tip along the length of the shaft that extends from the proximal end of the shaft to the first bend of the cutting edge portion, wherein the lateral displacement ( u x) is at least partially determined using the equation, u ̈ x = 1 ρS z d 2 d z 2 EI y z d 2 u x d z 2 − φ d 2 l z d z 2, wherein: φ is the twist angle of the tip, ρ is density of the tip material, S ( z) is a cross-sectional area of the tip along the axis collinear with the shaft, E is young's modulus of a tip material, I y ( z) is a moment of inertia of a cross-section of the tip around an axis perpendicular to the axis collinear with the shaft, and l ( z) is lateral displacement along the axis perpendicular to the axis collinear with the shaft, and wherein the shaft length is configured to tune the twisting vibration such that the twisting vibration is in resonance with the ultrasonic driving mechanism to increase twisting displacement at the distal end point. - an at least partially straight shaft; - a cutting edge portion at the distal end of the shaft, wherein the cutting edge portion comprises at least a first and a second bend (102,104) and a distal end point; - the tip being configured to be vibrated ultrasonically torsionally when used with a phacoemulsification handpiece comprising an ultrasonic driving mechanism, - lateral displacement of the tip perpendicular to an axis collinear with a straight shaft portion and perpendicular to an axis of a bend of the tip; - twist angle along the axis collinear with a straight shaft portion of the tip; φ is the twist angle of the tip, ρ is density of the tip material, S ( z) is a cross-sectional area of the tip along the axis collinear with the shaft, E is young's modulus of a tip material, I y ( z) is a moment of inertia of a cross-section of the tip around an axis perpendicular to the axis collinear with the shaft, and l ( z) is lateral displacement along the axis perpendicular to the axis collinear with the shaft, and wherein the shaft length is configured to tune the twisting vibration such that the twisting vibration is in resonance with the ultrasonic driving mechanism to increase twisting displacement at the distal end point.