The linear ethylene molecule CH2=CH2 can be considered as a molecular box with length defined by the C=C length: 0.154 nm. How many declocalized electrons are confined in this molecular box? Use a drawing, sketch , etc. to show how you decided. Draw the energy level diagram of these electrons states in ethylene and show the electrons that occupy them.
The linear ethylene molecule CH2=CH2 can be considered as a molecular box with length defined by...
3. You have a gas of 10 particles confined in a rigid 1D box of length L-1nm-10 °m. a) Sketch an energy level diagram for the lowest five energies (including a quantitative calculation of the energy levels) if these are electrons and they are in their lowest lying state. How many electrons are in each level and what is their state? b) Sketch an energy level diagram for the lowest five levels (including a quantitative calculation of the energy levels)...
Consider the diatomic molecule NF. (a) Draw the shape of the 2 pz orbital on N. How many nodes does this orbital have? Show the nodes in your diagram. (b) Construct a molecular orbital energy diagram for NF. For this drawing consider both the s and p valence orbitals on each atom, but do not include orbital mixing. Show how the electrons are placed in the MO's. (c) How would orbital mixing alter the MO energy diagram you just constructed?...
Problem 1 Assume r-electrons in benzene can be modelled according to a 2D particle in box model. The box can be assumed square with the side of 5 Angstrom. Assume each C atom contributes only 1 electron. a) Sketch qualitatively the energy levels diagram for the up to 5 energy states (count degenerate states as one). b) Compute the HOMO-LUMO gap [in eV. c) How much do the conclusions above would change if we assume a non-zero thickness (e.g. 0.5...
Problem 1 Assume m-electrons in benzene can be modelled according to a 2D particle in box model. The box can be assumed square with the side of 5 Angstrom. Assume each C atom contributes only 1 electron a) Sketch qualitatively the energy levels diagram for the up to 5 energy states (count degenerate states as one). b) Compute the HOMO-LUMO gap [in eV] c) How much do the conclusions above would change if we assume a non-zero thickness (e.g.0.5 Angstrom)...
3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in this long chain molecule behave very much like particles in a box The retinal molecule is a linear molecule that has 12 electrons that are free to move about the chain According to the Pauli exclusion principle, when this molecule is in its ground state, these 12 electrons fill the first 6 states of the box. Thus, the lowest energy photon that can be...
Cosmology 6 3. A strange hypothetical atom has only 5 energy levels that its electrons can occupy (instead of an infinite number). Determine how many spectral lines will appear in its spectrum. Show how you arrive at your answer by drawing a sketch similar to Figure 7-4 (but with no energy levels beyond n-5). [Hint: electrons can "jump" from any level onto any other level.] [4 points; from Chapter 7] 4. A strange star with a surface temperature of 5,000...
Draw an energy-level diagram for the valence molecular orbitals of CO. Include the relevant atomic orbitals in your diagram. Clearly label each molecular orbital (e.gs2s, p2p, etc.) and fill in the appropriate number of electrons. Use the same energy order as the neutral O2 molecule.b) Is CO paramagnetic or diamagnetic? What is the bond order of CO? c) Draw a Lewis structure for CO. Does this match the predicted bond order? d) CO can react withOH– to form the formate...
HNTV 8) Suppose v(y) = A Sin By, and y(y)=B Cos By are each solution to the particle in the box problem with the Hamiltonian, H = -(h/8x ma?)d/dy. Show that the linear combination (y) - A Sin By - B Cos By is also a solution and then determine the eigenvalue. (Hint: Hv=Ev). The Synthesis of 1,3,5,7,9,11,13-tetradecaheptaene conjugated compound with the formula H-[CH=CH]7-H produced a trace amount as reported by (Alexander Mebane, JACS 74 (20), page 5227-5229 (1952). The...
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...
TACTICS BOX 1.5 Drawing a pictorial representation Draw a motion diagram. The motion diagram develops your intuition for the motion and, especially important, determines whether the signs of v? and a? are positive or negative. Establish a coordinate system. Select your axes and origin to match the motion. For one-dimensional motion, you want either the x axis or the y axis parallel to the motion. Sketch the situation. Not just any sketch. Show the object at the beginning of the motion, at...