• Problem 3.22 The potential energy between the atoms of an hydrogenmolecule can be modelled by means of the Morse potential-2(r – ra)(rV (r) = V exp2 еxpwhere Vo = 7 × 1012erg, ) = 8 x 10-º cm and a = 5 x 10-º em. (a) Find the lowest angular frequency of rotational motion and the frequency ofsmall-amplitude vibrations.(b) Estimate the temperatures Trot and Tvib at which rotations and vibrationsrespectively begin to contribute significantly to the internal energy.

Answered: Image /qna-images/answer/d8c1881b-dcb0-440a-adda-2ce3d8ea09c2.jpg

Answered: • Problem 3.22 The potential energy…

Similar questions

Q3: The net potential energy between two adjacent ions, EN ,may be represented by the sum of Equations 2.8 and 2.9; that is, an EN= -A/r + B/ r" (2.11) Calculate the bonding energy E, in terms of the parameters A, B, and n using the following procedure: 1. Differentiate EN with respect to r, and then set the resulting expression equal to zero, since 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 substitution roof into Equation 2.11.
Given the work functions for some metals:- Aluminum-D4.08eV, Beryllium=5.0eV, Cadmium%3D4.07eV, Calcium32.9eV, Carbon3D4.81eV, Cesium=2.1eV, Cobalt=5.0eV, Copper3D4.7eV, Gold=5.1eV, Iron%3D4.5eV, Lead%-4.14eV, Magnesium=3.68€V, Mercury=D4.5eV, Nickel=5.01eV, Niobium=4.3eV, Platinum=6.35eV, Potassium=2.3eV, Selenium=5.11eV, Silver=4.73eV, Sodium=2.28eV, Uranium3D3.6eV, and Zinc3D 4.3eV. If you shine light with a wavelength of 153 nm on Potassium, what is the velocity of the electrons being emitted. Provide your answer in units of 105 m/s and round it off to two decimal places, i.e. the nearest hundredths.
One model for the potential energy of a two-atom molecule, where the atoms are separated by a distance r, is U(r) = Uo[(¹) ¹2 – ( )²] where ro = 0.8 nm and U₁ = 6.1 eV. Note: 1 eV = 1.6 × 10-19 J. Some helpful units: [Force] = eV/nm [Energy] = eV [distance] = nm Equilibrium Distance What is the distance between the atoms when the molecule is in stable equilibrium? Click here for a hint T'eq Hint: Hint: Hint: Hint: Hint: Hint: Force If the distance between the atoms increases from equilibrium by r₁ = 0.35 nm, then what is the force from one atom on the other associated with this potential energy? (Enter your answer as postive if they repel each other, and negative if they attract.) Fr(req+r₁) Hint: Hint: 0.89105934nm Kinetic Energy Hint: The atoms are oscillating back and forth. The maximum separation of the atoms is r₂ = 2 nm. What is the kinetic energy of the atoms when they are separated by the equilibrium distance? Click here for a hint K(req) Hint: Hint: = -1.288eV/nm 3.99eV
Problem # 3 (a) Describe the forces responsible for formation of inert gas (such as Argon) crystals. Express the cohesive energy (U(R)) of such crystals as a function of interatomic distance R, and sketch U(R) vs R. (b) Evaluate the Madelung constant for a one-dimensional lattice of Na* and Cl ions. The distance between two nearest neighbor Na* and Cl ions is R. (c) For H2 one finds from measurements on the gas that the Lennard – Jones parameters are ɛ = 40 x 10-16 erg and o = 2.91 Ả. Find the cohesive energy in kJ per mole of H2. Assume that the H2 molecules for an fcc lattice. Treat each H2 molecule as a sphere.
Really stuck on homework
Please
2 D -e Physical constants (A) (in m) Bohr Model mv² - h = 6.626 x 10-34 Js; Ke² = 2.307 x 10-28 Jm; m = 9.11 x 10-31 kg. The old Bohr model of the hydrogen atom was based on... (1) the assumption that the electron travels on a circle (A) What is the radius of the orbit with n = 5? (B) What is the speed of the orbit with n = 5? Ke² ra and obeys Newton's second law, and (2) the hypothsis that angular momentum is quantized. For the Bohr model, (1) mvr = n (2) 27 OA: 2.774x10-10 OB: 3.468x10-10 OC: 4.334x10-10 OD: 5.418x10-10 DE: 6.773x10-10 OF: 8.466x10-10 OG: 1.058x109 OH: 1.323x10-9 Submit Answer Tries 0/20

• Problem 3.22 The potential energy between the atoms of an hydrogen molecule can be modelled by means of the Morse potential - 2(r – ra) V (r) = V exp 2 еxp u ham 10-9 tn urnd 5 x 10-9 an