letter = e value = OMIT )nodal planes = ) (f) An atomic orbital that has three nodal planes is (g) Which of the following orbitals cannot exist according to modern quantum theory: 2s, 3p, 2d, 4g, 5p, 6p? (h) Which of the following is not a valid set of quantum numbers? n me 3 2 1. 2 1 4 3 0 . (i) What is the maximum number of orbitals that can be associated with each of the following sets of quantum numbers? (One possíble answer is "none.") (i) n= 2 and € = 1 (ii) n= 3 (iii) n= 3 and e = 3 (iv) n= 2, € = 1, and me = 0 %3D

letter = e value = OMIT )nodal planes = ) (f) An atomic orbital that has three nodal planes is (g) Which of the following orbitals cannot exist according to modern quantum theory: 2s, 3p, 2d, 4g, 5p, 6p? (h) Which of the following is not a valid set of quantum numbers? n me 3 2 1. 2 1 4 3 0 . (i) What is the maximum number of orbitals that can be associated with each of the following sets of quantum numbers? (One possíble answer is "none.") (i) n= 2 and € = 1 (ii) n= 3 (iii) n= 3 and e = 3 (iv) n= 2, € = 1, and me = 0 %3D

Principles of Modern Chemistry

8th Edition

ISBN:9781305079113

Author:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Publisher:David W. Oxtoby, H. Pat Gillis, Laurie J. Butler

Chapter4: Introduction To Quantum Mechanics

Section: Chapter Questions

Problem 38P: Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7)...

See similar textbooks

Similar questions

Write a Slater determinant for the lithide ion, Li.
Using a simple particle-in-a-box model for the multiple bonding in 1,2-butadiene (see Example 4.7) and the n=2 wave function for the weakest bound electron, calculate the probability of finding the electron in an 0.1 interval centered midway between the two inner carbon atoms (that is, the center is at x=2.11 , so this interval is from x1=2.06 to x2=2.16 ). Then calculate the probability of finding the electron in an 0.1 interval centered midway between an end carbon atom and the carbon atom that is double-bonded to it in the Lewis dot structure. (You may calculate the appropriate integrals or estimate the relevant areas under the curve graphically.) Then recalculate the probabilities by approximating the integral as |( x 0)|2x , where x0 is evaluated in the middle of the range from x1 to x2 . Finally, explain why you can’t approximate the integral needed for Problem 37(a) in this way.
What are the degeneracies of the H atom wavefunctions when spin is accounted for? Give a general formula.
The accompanying drawingshows a contour plot for a dyzorbital. Consider the quantumnumbers that could potentiallycorrespond to this orbital. (a)What is the smallest possiblevalue of the principal quantumnumber, n? (b) What is the valueof the angular momentumquantum number, l? (c) What isthe largest possible value of themagnetic quantum number, ml?(d) The probability density goes to zero along which of thefollowing planes: xy, xz, or yz?
Compute the wavelength, frequency and wavenumber of then n=4 ---> n=3 transition of Be3+
W.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?
A hydrogen atom. treated as a point mass. is confined to a one-dimensional square well of width 1.0 nm. How much energy does it have to give up to fa ll from the fi rst excited level with n = 2 to the lowest energy level with n = 1?
The Chemistry and Life box in Section 6.7 described the techniquescalled NMR and MRI. (a) Instruments for obtainingMRI data are typically labeled with a frequency, such as 600MHz. In what region of the electromagnetic spectrum doesa photon with this frequency belong? (b) What is the valueof ΔE in Figure 6.27 that would correspond to the absorptionof a photon of radiation with frequency 450 MHz? (c) Whenthe 450-MHz photon is absorbed, does it change the spin ofthe electron or the proton on a hydrogen atom?
Show that the following hydrogenic wavefunctions are mutualy orthogonal a.) 1s and 2s orbitals b.) 2p_x and 2p_y
What are the atomic term symbols for an electronic configuration of s2p?
1-Which of the following molecules or ions is not polar? a.SO2 b.O3 c.S3 d.H2O e.I3− 2-Which of the following electron configurations represents an excited state? a.[Kr]4d105s25p1 b.[Ar]3d104s24p6 c.[Ne]3s23p5 d.[Ne]3s23p64s2 e.[Kr]4d105s15p1 3-What is the Aufbau ground state electron configuration for phosphorous? a.1s22s22p63s23p64s24p1 b.[Ne]3s13p4 c.[Ar]4s24p3 d.[Ne]3s23p3 e.1s22s22p63s23p5
Consider the ground state electron configuration of titanium, Ti: [Ar] 4s2 3d2. The total orbital angular momentum, L, for the ground state of Ti is ____ and is represented by the letter ___? The total spin angular momentum, S, for the ground state of Ti is ____ ? The multiplicity, 2S+1, for the ground state of Ti is ____ which is a ________________? The total angular momentum, J, of Ti can have the following possible values when L and S are determined from the ground state electron configuration. The actual ground state term symbol for Ti has a J value of ___?