In this question you will use the one-dimensional particles in a box model to approximate the absorption wavelength of a cyanine dye. To determine the "box-length" for the model, determine the total length along the conjugated part of the molecule (both single and double bonds) use the following bond lengths: Typical CC bond length (both single/double bond) = 0.14 nm Typical CN bond length (both single/double bond) = 0.13 nm The structure of a cyanine dye is shown below. You need to determine the wavelength of light for a cyanine dye with n=8. Consider that both nitrogens are conjugated, so consider two CN bonds when determining box length. The left-most nitrogen has two electrons (lone pair) that count towards the number of electrons in the box, but the right-most nitrogen has no lone pair, just the double-bond. Provide your answer as the wavelength of light absorbed in units of nm. R R n R R

In this question you will use the one-dimensional particles in a box model to approximate the absorption wavelength of a cyanine dye. To determine the "box-length" for the model, determine the total length along the conjugated part of the molecule (both single and double bonds) use the following bond lengths: Typical CC bond length (both single/double bond) = 0.14 nm Typical CN bond length (both single/double bond) = 0.13 nm The structure of a cyanine dye is shown below. You need to determine the wavelength of light for a cyanine dye with n=8. Consider that both nitrogens are conjugated, so consider two CN bonds when determining box length. The left-most nitrogen has two electrons (lone pair) that count towards the number of electrons in the box, but the right-most nitrogen has no lone pair, just the double-bond. Provide your answer as the wavelength of light absorbed in units of nm. R R n R R

Chemistry

10th Edition

ISBN:9781305957404

Author:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Publisher:Steven S. Zumdahl, Susan A. Zumdahl, Donald J. DeCoste

Chapter1: Chemical Foundations

Section: Chapter Questions

Problem 1RQ: Define and explain the differences between the following terms. a. law and theory b. theory and...

See similar textbooks

Similar questions

Using the knowledge established in the previous parts, answer the original question: Ultraviolet light with a wavelength longer than about 295 nm has little germicidal value. What is the frequency (in Hz) that corresponds to this wavelength? Hz
Using photoelectron spectroscopy, the ionization energy of the least tightly bound valence electron on Li was determined to be 5.40 eV. Calculate the Zeffective for this electron.
quantum chemistry Calculate the frequency of oscillation and the ground state energy of an O-H bond using the harmonic oscillator model. Consider that the force constant of the bond is 545 N m-1
Using photoelectron spectroscopy, the ionization energy of the least tightly bound valence electron on Ar was determined to be 15.8 eV. Calculate the Zeffective for this electron.
The potential energy vs bond distance of a diatomic molecule AB is given, if a= 6225x10-20 J, and the classical frequency of vibration is 2553.18 cm³¹, what is the experimental dissociation energy (in J)? Potential energy at. VO a. 5.1e-20 b. 7.6e-20 c. 2.5e-20 d. 6.2e-17 e. 1.0e-19 distance A+B
An HCl molecule initially in the (v, J) = (0, 2) quantum state can absorb infrared photons. What are the two most likely final quantum states after absorbing an infrared photon? Calculate the energy of the infrared photonabsorbed for each of these transitions. Can it also absorb a microwave photon? If yes, calculate that photon energy also. The rotational constant of HCl is 10 cm-1 and its vibrational frequency is 2990 cm-1.
Violet 2. A sample of hydrogen is heated up to produce the absorption spectrum which has four dark bands as shown below. We are going to explore the energy and wavelength associated with the dark band indicated by the arrow. For the dark band indicated by the arrow above, the electron transition that corresponds to this band results in an electron transition between n=2 and n=3. Draw an energy diagram to help you construct a step-by-step description for the processes involved to create this band in the absorption spectrum. Red
A molecule can have various types of energies (translational, rotational, vibrational, and electronic), the sum of which is the molecule's total energy. E trans = (n +n + n²) Erot = J (J + 1) h² 87²1 Evib = (U+ 1 ) h hv h² 8mV (2/3) In the equations, nx, ny, nz, J, and u are quantum numbers, h is Planck's constant, m is the mass of the molecule, V is the volume of the container, I is the moment of inertia of the molecule, and v is the fundamental vibration frequency. For carbon monoxide, CO, the moment of inertia is I = 1.45 x 10-46 kg-m², and the fundamental vibration frequency is v = 2130 cm-¹. Let V = 12.5 L, and let all the quantum numbers be equal to 1. Calculate the translational, rotational, and vibrational energies per mole of CO for these conditions.
Here is the ground-state electron configuration of a -1 anion of an unknown Element E. [Kr] 1L1L|1L||1L||1L||1L||1L||1L1L 4d 5 s 5p Use this diagram to answer the questions below. What is Element E? Write its chemical symbol. How many unpaired electron spins are there in this anion?
The photoelectron spectra of elements X and Y are shown below. What is the most likely chemical formula of the compound made from these elements? X 42.7 2.90 390 34.0 4.65 0,59 100 10 1 lonization Energy (MJ/mol) Y 67.2 1.68 3.88 100 10 lonization Energy (MJ/mol) O XY2 O XY ) X3Y2 O XY3 Number of Electrons Number of Electrons
Given the structural formula for NH3 determine if the molecule is polar or nonpolar and give an explanation for your choice in terms of symmetry
Solve the problems using a step-by-step process (solutions). 1. If, with a beam of monochromatic light, 65.0% of the incident light is absorbed in its passage through a column of a certain colored solution, what is the absorbance of the solution? (Ans. A = 0.456)