Calculate the homogeneous nucleation rate in liquid copper at undercoolings of 150, 175, and 200 K using the following data: L = 1.88 x 109 J/m⁻³ , Tm = 1356 K, γ_SL = 0.177 J/m⁻², f0 = 10¹¹ /s⁻¹, Co = 6 x 10²⁸ atoms/m³, k = 1.38 x 10⁻²³ J/K. Equation: N_hom = f0.Co. exp {(-16 π γSL³ Tm²/ 3 Lo² K T). (1/ΔT²)}