(a) Explain why the parameter a in Equation (10.22) is essentially half the effective fo...

(a) Explain why the parameter a in Equation (10.22) is essentially half the effective force constant of a spring connecting adjacent atoms. (b) Then use this result along with the result of Problem 34b to estimate a value for the parameter b in Equation (10.22), the coefficient of the x³ term in the potential energy.

(a) Explain why the parameter a in Equation (10.22) is essentially half the effective force constant of a spring connecting adjacent atoms. (b) Then use this result along with the result of Problem 34b to estimate a value for the parameter b in Equation (10.22), the coefficient of the x³ term in the potential energy.

Problem 34b

(a) Derive Equation (10.26). (b) Evaluate the constant 3bk/4a² in Equation (10.26) for copper, given that the coefficient of linear expansion [defined as ]for copper is found experimentally to be 1.67 × 10^-5 K^-1 at T = 293 K.