Problem about leonard-jones interaction-energy

Assignment Help Physics

Reference no: EM13536648

Problem about Leonard-Jones interaction (Energy)

A commonly used potential energy function to describe the interaction between two atoms is the

LENNARD-JONES 6,12 potential

U = e{ (Ro/R)^12 - 2(Ro/R)^6 }

the problem is accompanied with a graph representing U in function of R, the curve begines at a certain point above the R axis , then decreases continuously, crosses the R axis and has a minimum at the coordinate (Ro,e), then decrease anew but stays below the R axis which becomes an horizontal asymptot for the curve .

Show that the radius at the potential minimum is Ro, and that the depth of the potential well is e.

then, find the frequency of small oscillations about equilibium for 2 identical atoms of mnass m bound to each other by the Leonard-Jones interaction.

Reference no: EM13536648

Questions Cloud

Concave mirror is used to project a transparent slide wall : A concave mirror (R = 56.0 cm) is used to project a transparent slide onto a wall. The slide is located at a distance of 38.0 cm from the mirror, and a small flashlight shines light through the slide and onto the mirror. The setup is similar to that ..

What is the magnification of the mirror : The image behind a convex mirror (radius of curvature = 72 cm) is located 14 cm behind the mirror. Where is the object located? What is the magnification of the mirror?

Calculate what average force was exerted on the ball : After falling from rest from a height of 31 m, a 0.51-kg ball rebounds upward, reaching a height of 21 m. what average force was exerted on the ball

Obtain the magnitude of centripetal force that acts on him : In a skating stunt, a number of skaters hold hands and form a straight line. obtain the magnitude of the centripetal force that acts on him

Problem about leonard-jones interaction-energy : the problem is accompanied with a graph representing U in function of R, the curve begines at a certain point above the R axis , then decreases continuously, crosses the R axis and has a minimum at the coordinate (Ro,e), then decrease anew but sta..

Find how high does the combined bullet and baseball rise : A 0.029-kg bullet is fired vertically at 225 m/s into a 0.15-kg baseball that is initially at rest. How high does the combined bullet and baseball rise

What was the average acceleration of the ball : a pitcher delivers a fast ball with a velocity of 43 m/s to the south. the batter hits the ball and gives it a velocity of 51 m/s to the north. what was the average acceleration of the ball

Find chemical potential exactly : Find chemical potential exactly as a function of temperatureT for the given gas density n=N/S where S is the surface area. Is there Bose-Einstein condensation? Explain your answer.

Relative humidity on the leeward side of the mountains : Westerly winds coming off the Pacific Ocean rise over the Rocky Mountains, which rise to a height of approximately 15,000 feet (580 hPa). The air on the western side of the mountain range is at 800 hPa (T = 70F, r = 0.75), and will subside on the ..

User Account

All Pages