(5 points) If the interatomic energy can be expressed as E = 18r + 1/rº, where...
2.2) The Morse interatomic potential for a diatomic molecule is given by VM(r) D[1-e-a-1 r-ro where r is the interatomic distance. a) Sketch the potential, and indicate its attractive and repulsive region. [4 marks] b) Show that the equilibrium bond length is given by r ro. [4 marks] c) Determine the dissociation energy of the diatomic molecule. [4 marks]
Problems 1-3, which ask you to explore expressions for
the interatomic bonding energy, are confusing as you need the
answer to problem 3 to answer problem 2 - they are a bit inverted.
Please work you way through problems 1 and 2, and the answer to
problem 3 is already contained in the earlier problems. Sorry for
the confusion!
For the first 3 questions, refer to the following information: The net potential energy between two adjacent A B ions, EN,...
For a particle in a ring, the energy levels can be expressed as En= [(h)2/ (2m)] [(n)/(L)]2 where n= 0, ±1, ±2, …, L = 2πr is the circumference of the ring, and r is the radius of the ring. If r=4.0 x 10-10 m, find the energy and the corresponding wavelength (λ) for the n = 0 to n=1 transition.
Problem 3 [35 pts): Potential energy can be expressed using the following equation: E=m*g*h (1) Where: . E is the potential energy, . m is the object mass, . g is the gravitational acceleration, and • his height For the sake of this exercise you can assume that all units match and you don't need any conversions. Your task is to write a Matlab function called calculateEnergies which accepts the following as input parameters/argument (assume all vectors are of the...
Show that the following polynomials are irreducible over Q. (a) (8 points) f(1) = 5.rº – 1826 + 30x4 – 6r2 + 12x + 60 (b) (12 points) g(x) = r" - 6.12 – 4.: +3
2-1. Consider ionically bonded NaCl. The constants describing the bond energy are: A = 1.436 (Eq. 2.9) B = 7.32 x 10^-6 (Eq. 2.11) n = 8 Where the units of distance are assumed to be nm and the energies are in eV. (a) Determine the equations for the force of attraction (FA) and force of repulsion (FR). (b) Determine the interatomic separation that results in zero net force (FN). (c) Calculate that the net energy at the distance calculated...
3. Assuming atoms can be represented as hard spheres, the bonding energy between a sodium ion and a chloride ion pair can be represented by: 1.436 7.32x10-6 8 1 1 where U is energy per ion pair in eV and r is the separation distance between ions in nanometers. Write answers in units of eV and nm. a) Find the equation for force between the atom pair. b) Find the equilibrium separation distance ro- c) Estimate the elastic modulus for...
Part 1 (2.5 points) If light has a wavelength of 415 nm, what is the energy of this light expressed in kJ/mol? 4.79 x 10-20 kJ/mol + Part 2 (2.5 points) A beam of radiation has an energy of 1.84x102 kJ/mol. What is the wavelength of this light? x 10-18 nm - 1.08
1. The quantum states of a particle moving freely in a circle of radius r are described by (0) = Cewe where C is a constant, e denotes angle, n = 0, +1, +2,... is an integer identifying the quantum state of the particle, and wn is constant for a given n. a) Show that Un0 satisfies don d02 b) Find wn such that Un (@+ 2) = Un) c) Find the value of such that any two yn (0)...
5. (multiple choice) All wave speed can be expressed in the form (A/B)1/2 , where the parameters A and B represent, respectively, a) a pressure and a temperature b) an elastic property and an inertial property c) an acceleration and a frequency d) an amplitude and a damping parameter e) a distance and a time