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Question: the reference 1 provides a model of the rotation of...

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The reference [1] provides a model of the rotation of gold nanoparticles. Table 0.1 identifies the quantities involved in the model. Table 0.1: Quantities involved in the rotation of gold nanoparticles. DESCRIPTION Amplitude of the impulsive torque g. SYMBOL UNITS eg/(ns g-(nm)2 deg/(ns)2 Impulsive torque;f(t) lo.A .(t/Te) [deg/(ns)2] lg. (nm) . exp(-t/re)/(nl) with maximum 4600 In Impulsive torque; g(t) = A . (t/n) . exp(--t/n)/(n!). Moment of inertia of a gold nanoparticle dimer; 1.-4.4-10-12, g . (nm)2 Dimensionless integer, to be fitted. Time, in nano-seconds [ns), 0 St s 150. Delay time, so that n Te is the time of the peak of the pulse g, at 11 Ins] [1, p. 4 Io ns ns deg deg/ns] [deg/(ns)2 deg/ns Te Angle of rotation, in degrees. Rate of change (derivative) of the angle of rotation relative to time. Acceleration (second derivative) of the angle of rotation relative to time. Damping rate constant due to surrounding drag, γ-0.03 [deg/nsUI, p. 4951 The model relates such quantities by the following equation, numbered here as in reference 1) Aexp-t/T) n! Figure 3(A) in 11, p. 496] suggests the initial condition θ(0)-0 and 0(0) 0, with-4 [1, p. 495. top Also find the time t >0 when g(t) reaches its maximum value for t >O, in terms of A, Tes and n. Problem 2 Find a formula for θ(t) in terms of A, tte, γ, with θ(0) 0 θ(0), for each n E {0, 1, 2, 3, 4). m value of g(t) := A . war . exp(-t/n) for t > 0, in terms of A, Te, and n. You results may not be numerical, but must be in terms of A, Te, and n, to verify the claims in Table 0.1.
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