Homework Answers
h bar means = h/2pi
E = n^2*h^2/8mL^2
E2 = 4Eo
E5 = 25Eo
E6 = 36Eo
E7 = 49Eo
Add Answer to:
For the second, fifth, sixth, and seventh levels of the three-dimensional cubical box, find the energies...
An electron (mass m) is trapped ina 2-dimensional infinite square box of sides Lx - L...
An electron (mass m) is trapped ina 2-dimensional infinite square box of sides Lx - L - L. Take Eo = 92/8mL2. Consider the first four energy levels: the ground state and the first three excited states. 1) Calculate the ground-state energy in terms of Ep. (That is, the ground-state energy is what multiple of Eo? Eo Submit 2) In terms of Eo, what is the energy of the first excited state? (That is, the energy of the first excited...
3. A particle of mass m in a one-dimensional box has the following wave function in...
3. A particle of mass m in a one-dimensional box has the following wave function in the region x-0 tox-L: ? (x.r)=?,(x)e-iEy /A +?,(X)--iE//h Here Y,(x) and Y,(x) are the normalized stationary-state wave functions for the n = 1 and n = 3 levels, and E1 and E3 are the energies of these levels. The wave function is zero for x< 0 and forx> L. (a) Find the value of the probability distribution function atx- L/2 as a function of...
The ordering of the energies of the pi-molecular orbitals of benzene is shown in Fig. 1....
The ordering of the energies of the pi-molecular orbitals of benzene is shown in Fig. 1. Those energies can be approximated by a two-dimensional particle-in-a-box, in which the energy values take a form very similar to those of a one-dimensional box: E_n_x, n_y = n_x^2 + n_y^2) h^2/8mL^2 where n_x and n_y take non-zero integer values. For this model, the first few derived energy levels, indexed by (n_x, n_y) pairs, are diagrammed in Fig. 2. Approximating benzene as a square,...
4. (20 points) Infinite Wells in Three Dimensions a) Consider a three dimensional in- finite rect...
4. (20 points) Infinite Wells in Three Dimensions a) Consider a three dimensional in- finite rectangular well for which L -L, Ly-2L, ald L2-3L. In terms of quantum numbers (e.g. nz, ny, and n.), M. L, and ћ. write down an expression for the energies of all quantum states. (b) Find the energies of the ground state and the first three lowest lying energies. As in part (b), for each energy level, give the quantum numbers n, ny, n and...
The energy levels for a particle in a 1-D box of dimension (L) is provided by...
The energy levels for a particle in a 1-D box of dimension (L) is provided by the following expression: n h2 E, 2mL2 where m is the mass of the particle, h-bar = h/2 andn is the quantum number. Evaluate the energy associated with the first level (n 1) for an argon atom in a 10 A 1-D box. Select one: a. 8.27 x 10-25 kJ/mol b. 4.98 x 10 1 kJ/mol c. 8.27 x 1028 kJ/mol d. 4.98 x...
The degeneracy of the second energy level of three-dimensional box is Select one: 0.4 b.1 C....
The degeneracy of the second energy level of three-dimensional box is Select one: 0.4 b.1 C. 3 O d.5 e. 2 2 Evaluate the kinetic energy of a free proton described by the wavefunction e k = 5 nm Mass of an electron - 9.1 x 10 31 kg out of Select one
The degeneracy of the second energy level of three-dimensional box is Select one: 0.4 b.1 C....
The degeneracy of the second energy level of three-dimensional box is Select one: 0.4 b.1 C. 3 O d.5 e. 2 2 Evaluate the kinetic energy of a free proton described by the wavefunction e k = 5 nm Mass of an electron - 9.1 x 10 31 kg out of Select one
NAME Physical Chemistry Test 2 Instructions: Do FIVE of the following problems Your best problem ...
6,7,8
NAME Physical Chemistry Test 2 Instructions: Do FIVE of the following problems Your best problem will be graded out of points Your third best will be graded out of 20 points Your fifth best will be graded out of 10 peints f30 pointsYour second best will be graded out of 25 points Your fourth best will be graded out of 15 points 1. The work function of uranium is 3.73 ev a. Caculate the maximum photon wavelength needed to...
The one-dimensional infinite potential well can be generalized to three dimensions.
(25 marks) The one-dimensional infinite potential well can be generalized to three dimensions. The allowed energies for a particle of mass \(m\) in a cubic box of side \(L\) are given by$$ E_{n_{p} n_{r, n_{i}}}=\frac{\pi^{2} \hbar^{2}}{2 m L^{2}}\left(n_{x}^{2}+n_{y}^{2}+n_{z}^{2}\right) \quad\left(n_{x}=1,2, \ldots ; n_{y}=1,2, \ldots ; n_{z}=1,2, \ldots\right) $$(a) If we put four electrons inside the box, what is the ground-state energy of the system? Here the ground-state energy is defined to be the minimum energy of the system of electrons. You...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force pr...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force problem (as discussed in TZD Many physical systems involve a particle that moves under the influence of a central force; that is, a force that always points exactly toward, or away from, a force center O. In classical mechanics a famous example of a central force is the force of the sun on a planet. In atomic physics the most obvious example is the hydrogen atom,...
An electron (mass m) is trapped ina 2-dimensional infinite square box of sides Lx - L - L. Take Eo = 92/8mL2. Consider the first four energy levels: the ground state and the first three excited states. 1) Calculate the ground-state energy in terms of Ep. (That is, the ground-state energy is what multiple of Eo? Eo Submit 2) In terms of Eo, what is the energy of the first excited state? (That is, the energy of the first excited...
3. A particle of mass m in a one-dimensional box has the following wave function in the region x-0 tox-L: ? (x.r)=?,(x)e-iEy /A +?,(X)--iE//h Here Y,(x) and Y,(x) are the normalized stationary-state wave functions for the n = 1 and n = 3 levels, and E1 and E3 are the energies of these levels. The wave function is zero for x< 0 and forx> L. (a) Find the value of the probability distribution function atx- L/2 as a function of...
The ordering of the energies of the pi-molecular orbitals of benzene is shown in Fig. 1. Those energies can be approximated by a two-dimensional particle-in-a-box, in which the energy values take a form very similar to those of a one-dimensional box: E_n_x, n_y = n_x^2 + n_y^2) h^2/8mL^2 where n_x and n_y take non-zero integer values. For this model, the first few derived energy levels, indexed by (n_x, n_y) pairs, are diagrammed in Fig. 2. Approximating benzene as a square,...
4. (20 points) Infinite Wells in Three Dimensions a) Consider a three dimensional in- finite rectangular well for which L -L, Ly-2L, ald L2-3L. In terms of quantum numbers (e.g. nz, ny, and n.), M. L, and ћ. write down an expression for the energies of all quantum states. (b) Find the energies of the ground state and the first three lowest lying energies. As in part (b), for each energy level, give the quantum numbers n, ny, n and...
The energy levels for a particle in a 1-D box of dimension (L) is provided by the following expression: n h2 E, 2mL2 where m is the mass of the particle, h-bar = h/2 andn is the quantum number. Evaluate the energy associated with the first level (n 1) for an argon atom in a 10 A 1-D box. Select one: a. 8.27 x 10-25 kJ/mol b. 4.98 x 10 1 kJ/mol c. 8.27 x 1028 kJ/mol d. 4.98 x...
The degeneracy of the second energy level of three-dimensional box is Select one: 0.4 b.1 C. 3 O d.5 e. 2 2 Evaluate the kinetic energy of a free proton described by the wavefunction e k = 5 nm Mass of an electron - 9.1 x 10 31 kg out of Select one
The degeneracy of the second energy level of three-dimensional box is Select one: 0.4 b.1 C. 3 O d.5 e. 2 2 Evaluate the kinetic energy of a free proton described by the wavefunction e k = 5 nm Mass of an electron - 9.1 x 10 31 kg out of Select one
6,7,8
NAME Physical Chemistry Test 2 Instructions: Do FIVE of the following problems Your best problem will be graded out of points Your third best will be graded out of 20 points Your fifth best will be graded out of 10 peints f30 pointsYour second best will be graded out of 25 points Your fourth best will be graded out of 15 points 1. The work function of uranium is 3.73 ev a. Caculate the maximum photon wavelength needed to...
8.4 The Two-Dimensional Central-Force Problem The 2D harmonic oscillator is a 2D central force problem (as discussed in TZD Many physical systems involve a particle that moves under the influence of a central force; that is, a force that always points exactly toward, or away from, a force center O. In classical mechanics a famous example of a central force is the force of the sun on a planet. In atomic physics the most obvious example is the hydrogen atom,...
Most questions answered within 3 hours.
-
Propose an efficient synthesis of 2-Bromo-5-nitrotoluene from
benzene. Hint: 3 steps. Consider directing effects of substituents....
asked 2 hours ago -
Name the following coordination compounds using systematic
nomenclature.
1. [Co(H2O)6]Cl2:
2. [Cr(NH3)6](NO3)3:
3. K4[Fe(CN)6]:
4. Na[Au(CN)4]:...
asked 30 minutes ago -
This assignment will explore the impact of corporate decisions
on a local versus a global perspective....
asked 1 hour ago -
Given the function below, F(w,x,y,z)= x’z+w’z’+w’y
a) draw a logic diagram for an implementation which uses...
asked 1 hour ago -
The sandwich maker of the EE-Cole-Eye Sandwich Truck was just
fired (for a reason described below)...
asked 56 minutes ago -
Most political philosophers believe we have a duty to obey laws,
even if the laws in...
asked 2 hours ago -
Which of the following are common negotiation outcome
mistakes?
a. Leave money on the table b....
asked 2 hours ago -
Convert the following quantities:
a) 0.819 atm to torr b) 512 mmHg to bar c) 11.2...
asked 2 hours ago -
C ++ Implement cat command
The purpose of this assignment is to provide practice using the...
asked 2 hours ago -
we
convert sugars into another form of stored potential energy. This
is called?
asked 3 hours ago -
The manufacturers of Oriental Spice Sauce are concerned that the
sodium levels in their product vary...
asked 4 hours ago -
PLEASE DON'T ANSWER IF YOU CAN'T ANSWER ALL OF THE QUESTIONS. I
DESPERATELY NEED HELP
Consider...
asked 4 hours ago