Experimental Organic Chemistry: A Miniscale & Microscale Approach (Cengage Learning Laboratory Series for Organic Chemistry)
6th Edition
ISBN: 9781305080461
Author: John C. Gilbert, Stephen F. Martin
Publisher: Brooks Cole
expand_more
expand_more
format_list_bulleted
Question
Chapter 8.2, Problem 1E
Interpretation Introduction
Interpretation: The relation betweenν and ṽ needs to be derived and reason for the terms frequency and wavenumber to used interchangeably needs to be explained.
Concept introduction:
The wavenumber is the number of full cycles in a unit of distance or number of waves in one centimeter. It is inversely proportional to wavelength. In other words, wavenumber is directly proportional to the frequency where the frequency is the number of cycles per unit time.
Expert Solution & Answer
Trending nowThis is a popular solution!
Students have asked these similar questions
15.
The far-infrared spectrum of HI consists of a series of equally spaced lines with Δν(bar) = 12.8 ^-1 cm. What are (a) the moment of inertia and (b) the internuclear distance?
Assume that the states of the π electrons of a conjugated molecule can be approximated by the wavefunctions of a particle in a one-dimensional box, and that the magnitude of the dipole moment can be related to the displacement along this length by μ = −ex. Show that the transition probability for the transition n = 1 → n = 2 is non-zero, whereas that for n = 1 → n = 3 is zero. Hints: The following relation will be useful: sin x sin y = 1/2cos(x − y) − 1/2cos(x + y). Relevant integrals are given in the Resource section.
Calculate the minimum excitation energy (i.e. the difference in energy between the
ground state and the first excited state) of a proton constrained to rotate in a circle of
radius 100 pm around a fixed point. What wavelength of absorption would this correspond
to?
Chapter 8 Solutions
Experimental Organic Chemistry: A Miniscale & Microscale Approach (Cengage Learning Laboratory Series for Organic Chemistry)
Ch. 8.2 - Prob. 1ECh. 8.2 - Prob. 2ECh. 8.2 - Prob. 3ECh. 8.2 - Prob. 4ECh. 8.2 - Prob. 5ECh. 8.2 - Prob. 6ECh. 8.2 - Prob. 7ECh. 8.2 - Prob. 8ECh. 8.2 - Prob. 9ECh. 8.2 - Prob. 10E
Ch. 8.2 - Prob. 11ECh. 8.2 - Prob. 12ECh. 8.2 - Prob. 13ECh. 8.2 - Prob. 14ECh. 8.2 - Prob. 15ECh. 8.2 - Prob. 16ECh. 8.2 - Prob. 17ECh. 8.2 - Prob. 18ECh. 8.3 - Prob. 1ECh. 8.3 - Prob. 2ECh. 8.3 - Prob. 3ECh. 8.3 - Prob. 4ECh. 8.3 - Prob. 5ECh. 8.3 - Prob. 6ECh. 8.3 - Prob. 7ECh. 8.3 - Prob. 8ECh. 8.3 - Prob. 9ECh. 8.3 - Prob. 1.1ECh. 8.3 - Prob. 1.2ECh. 8.3 - Prob. 1.3ECh. 8.4 - Prob. 1ECh. 8.4 - Prob. 2ECh. 8.4 - Prob. 3ECh. 8.4 - Prob. 4ECh. 8.4 - Prob. 5ECh. 8.5 - Prob. 1ECh. 8.5 - Prob. 2ECh. 8.5 - Prob. 3ECh. 8.5 - Prob. 4E
Knowledge Booster
Similar questions
- What is the physical explanation of the difference between a particle having the 3-D rotational wavefunction 3,2 and an identical particle having the wavefunction 3,2?arrow_forwardWhat are the degeneracies of the H atom wavefunctions when spin is accounted for? Give a general formula.arrow_forward8d7. Before solving the problem please also give a brief explanation of the concept or associated equation(s) and variablesarrow_forward
- 8C.5 (a) use the data in 8C.4 (a) to calculate the energy needed excite a CH4 molecule from a state with l=1 to a state with l=2arrow_forwardUsing the rigid rotor model, calculate the energies in Joules of the first three rotational levels of HBr, using for its moment of inertia I = μR2, with μ = mHmX/(mH + mX) and equilibrium internuclear distance = 1.63 Å. To put these energies into units that make sense to us, convert energy to kJ/mol. (Simply estimate atomic masses from the average atomic weights of the elements given in the periodic table).arrow_forward(i) Explain how the mass of the particle(s) involved affects the separation between energy levels in quantum mechanics. (ii) Explain why the sensitivity of an NMR experiment is affected by the strength of the applied magnetic field. (iii) Explain why, to a good approximation, rotational and vibrational transitions do not change the energies of electrons.arrow_forward
- Butadiene can be roughly modeled as a linear “box” with L = 0.424 nm. There are four electrons, two of which can go in each particle in a box state (two electrons in nX= 1; two electrons in nX= 2). The lowest excitation involves promoting an electron from nX= 2 to nX= 3. What is the energy of that excitation?arrow_forwardCalculate the energy of the quantum involved in the excitation of (i) an electronic oscillation of period 2.50 fs, (ii) a molecular vibration of period 2.21 fs, (iii) a balance wheel of period 1.0 ms. Express the results in joules and kilojoules per mole.arrow_forwardW.P. Wijesundera et al. (Phys. Rev. A 51, 278 (1995)) attempted to determine the electron configuration of the ground state of lawrencium, element 103. The two contending configurations are [Rn]5f147s27p1 and [Rn]5f146d7s2. Write down the term symbols for each of these configurations, and identify the lowest level within each configuration. Which level would be lowest according to a simple estimate of spin–orbit coupling?arrow_forward
- The C-H bond in ethanol vibrates at a frequency of 3000 cm ¹. What frequency (s 1) of light is required to change the vibrational quantum number from v=0 to v=1, assuming that C-H acts as a harmonic oscillator.arrow_forward2. In the far infrared spectrum of H"Br, there is a series of lines separated by 16.72 cm ¹. Calculate the values of the moment of inertia and the internuclear separation in H7⁹Br.arrow_forwardCalculate the minimum excitation energy (i.e. the difference in energy between the first excited state and the ground state) of a proton constrained to rotate in a circle of radius 100 pm around a fixed point.arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Physical ChemistryChemistryISBN:9781133958437Author:Ball, David W. (david Warren), BAER, TomasPublisher:Wadsworth Cengage Learning,Principles of Modern ChemistryChemistryISBN:9781305079113Author:David W. Oxtoby, H. Pat Gillis, Laurie J. ButlerPublisher:Cengage Learning
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,
Principles of Modern Chemistry
Chemistry
ISBN:9781305079113
Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler
Publisher:Cengage Learning