What is the force constance k

Reference no: EM13848770

The potential energy of the atoms in a molecule can sometimes be approximated by the Morse Function

U=A[(e^((R-r)/S) -1)^2-1]

where r is the distance between the two atoms and A,R and S positive constants with S<<R Find the equilibrium separation ro at which U(r) is minimum. Write r=ro+x so so that x is the displacement from equilibrium and show that, for small displacements, U has the approximate form U=const+1/2 kx^2. What is the force constance k?

I solved for ro, and got ro = R, and then substituted r=ro+x to get

U=A[(e^(-x/S) -1)^2-1] .

I'm not sure how to do the next step to show for small displacements, U has the approximate form U=const+1/2 kx^2.

Reference no: EM13848770

Questions Cloud

Identify three of the bundle of rights that davis states : Davis: Identify three of the bundle of rights that Davis states are the same for shared equity homeowners as for any individual homeowner.

Computation of present value : (Computation of Present Value) Using the appropriate interest table, compute the present values of the following periodic amounts due at the end of the designated periods.

What is the maximum initial cost the company : What is the maximum initial cost the company would be willing to pay for the project? (Enter your answer in dollars, not millions of dollars, i.e. 1,234,567. Do not round intermediate calculations and round your final answer to the nearest whole doll..

How much gain or loss should be recognize on bond retirement : PWI retired all of these bonds on January 1, 2016, at 102. Unamortized bond premium on that date was $183,600. How much gain or loss should be recognized on this bond retirement?

What is the force constance k : Where r is the distance between the two atoms and A,R and S positive constants with S

A typical cell has a membrane potential of -70 mv : A typical cell has a membrane potential of -70 mV, meaning that the potential inside the cell is 70 mV less than the potential outside due to a layer of negative charge on the inner surface of the cell wall and a layer of positive charge on the outer..

What is the projected net income : A proposed new investment has projected sales of $720,000. Variable costs are 60 percent of sales, and fixed costs are $161,000; depreciation is $62,000. Prepare a pro forma income statement assuming a tax rate of 30 percent. What is the projected ne..

Calculate the crossover rate where the two projects npv : Calculate the crossover rate where the two project's NPV are equal

What is your personality code : What is your personality code? Do you agree with the results? Provide a specific example that supports your answer

User Account

All Pages