Electrons in a conjugated molecule can be approximated by the particle-in-a-box model. When an electron in…

4. In a butadiene molecule (shown below) the pi electrons are conjugated over three bonds, which…

4. In a butadiene molecule (shown below) the pi electrons are conjugated over three bonds, which can be approximated as a particle in a box. Calculated the wavelength of light needed to excite an electron from the n=2 to n=3 level, taking the box length to be 5.6 Angstroms.

The electronic spectrum of the molecule butadiene, CH2=CH-CH=CH2, can be approximated using the one dimensional particle-in-a-box…

The electronic spectrum of the molecule butadiene, CH2=CH-CH=CH2, can be approximated using the one dimensional particle-in-a-box if one assumes that the conjugated double bonds span the entire four-carbon chain. If the electron absorbing a photon have wavelength 2170 Angstroms is going from the level n = 2 to the level n = 3, what is the approximate length of the C.He molecule? (The experimental value is -4.8 Angstrom.) length 2 5 .74*10-10

2. For a conjugated molecule with 18 π electrons.
a. Calculate the length of the molecules…

2. For a conjugated molecule with 18 π electrons.
a. Calculate the length of the molecules
b. Write the value of n for the highest occupied level
c. Calculate the longest wavelength transition for this molecule
using the 1 dimensional
I have an exam coming up soon and I am having trouble
understanding these practice questions.
particle in a box model.

The particle-on-a-ring is a useful model for the motion of
electrons around a conjugated macrocycle such…

The particle-on-a-ring is a useful model for the motion of
electrons around a conjugated macrocycle such as octatetrene, for
example. Treat the molecule as a circular ring of radius 0.480 nm,
with 10 electrons in the conjugated system moving along the
perimeter of the ring. Assume based on the Pauli Exclusion
Principle that in the ground state of the molecule each state is
occupied by two electrons with opposite spins.
(a) Calculate the energy of an electron in the highest…

7. π electron is an electron which resides in the pi bond(s) of a double bond or a triple bond, o…

7. π electron is an electron which resides in the pi bond(s) of a double bond or a triple bond, or in a conjugated p orbital. The 1,3,5-hexatriene molecule is a conjugated molecule with 6 t electrons. Consider the Tt electrons free to move back and forth along the molecule through the delocalized pi system. Using the particle in a box approximation, treat the carbon chain as a linear one-dimensional “box”. Allow each energy level in the box to hold…

particle in a box

The electronic spectrum of the molecule butadiene can be approximated using the one dimensional particle in a box if one assumes that the conjugated double bonds spanthe entire four carbon chain. If the electron absorbing a photon having a wavelength 2170A is going from level n=2, to level n=3, whAT IS the approximate length of theC4H6 molecule?Answer in book is 5.74A

particle in box model

Calculate the energy levels of the pi-network in octatetraene, C8H10, using the particle in the box model. To calculate the box length, assume the molecule is linearand use the values 135 and 154 pm for C=C and C–C bonds. What is the wavelength of light required to induce a transition from the ground state to the first excitedstate?Show work. (Answer = 368nm)

3. [5] Retinal consists of a chain of carbon atoms roughly 1.5 nm long. Electrons in…

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…

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…

When an electron moves from the n = 7 orbit to the n = 5
orbit…

When an electron moves from the n = 7 orbit to the n = 5
orbit of a hydrogen atom, a photon of light is
emitted.
What is the energy of this photon, in
Joules?
What is the frequency of this photon, in
Hertz?
What is the wavelength of this photon, in
nanometers?
(Eel = -2.18 x 10-18 J / n2. h = 6.63 x 10-34 Joule
sec.        
C = 3.00 x 108 m / sec. 1 m = 1…

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