I need help with this equation: EN= -A/r+B/rn 1) Differentiate EN with respect t
ID: 1821135 • Letter: I
Question
I need help with this equation: EN= -A/r+B/rn 1) Differentiate EN with respect to r, then set the resulting expression equal to zero because the curve of EN versus r is a minimum at Eo 2) Solve for r in terms of A,B, and n which yields ro the equilibrium interionic spacing 3) Determine the expression for Eo by sustituting ro into the equation thx in advance! I need help with this equation: EN= -A/r+B/rn 1) Differentiate EN with respect to r, then set the resulting expression equal to zero because the curve of EN versus r is a minimum at Eo 2) Solve for r in terms of A,B, and n which yields ro the equilibrium interionic spacing 3) Determine the expression for Eo by sustituting ro into the equation thx in advance! 2) Solve for r in terms of A,B, and n which yields ro the equilibrium interionic spacing 3) Determine the expression for Eo by sustituting ro into the equation thx in advance!Explanation / Answer
EN = -A*r^(-1) + B*r^(-n) 1) d(EN)/dr = A*r^(-2) - nB*r^(-n-1) = 0 2) A*ro^(n+1) = nB*ro^2 ro^(n-1) = nB/A so ro = (nB/A)^(1/n-1) 3) Eo = -A/ro + B/ro^n = (1/ro)*[-A + B/ro^(n-1)] = (1/ro)*[-A + B/(nB/A)] = -(1/ro)*A(1 - 1/n) = -(n - 1)A/n*(nB/A)^(1/n-1)