Physical Chemistry
2nd Edition
ISBN: 9781133958437
Author: Ball, David W. (david Warren), BAER, Tomas
Publisher: Wadsworth Cengage Learning,
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 13, Problem 13.13E
Interpretation Introduction
Interpretation:
The matrix representation for
Concept introduction:
A symmetry operation is defined as an action on an object to reproduce an arrangement that is identical to its original spatial arrangement. The spatial arrangement of the object remains identical after a symmetry operation. The point of reference through which a symmetry operation takes place is termed as a symmetry element.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Show whether the function V (0) = sin 0; 0 = 0- 2T satisfies the
%3D
normalization condition. If not find the normalization factor N so that
V (0) = N sin 0 will satisfy the condition V² d0 = 1
Determine the normalization constant for - e-r/a by normalizing in all space of spherical polar coordinates. This will involve a triple integral. Check
your limits carefully and don't forget to add the Jacobian (r2 sin 0) inside your integral. It is part of dr. Hint: This function is the radial part of the H atom
wavefunction, so you should be able to check your answer Table 11.4.)
N=
a3
ON-
N=.
a
N=
na 3
O N= na3
Since we use wavefunctions to describe the motion of the electron around the nucleus, the reference
point is the origin (0,0,0) in Cartesian or spherical coordinates. Describe the following wave functions as
symmetric (even), antisymmetric (odd), or neither (unsymmetric or asymmetric) with reference to the
orgin: A sketch will assist you in your determination of the symmetry
a. (a) Y (0) = cos (0) Type equation here.
b. (b) Y (0) = cos (0 )sin(0);
c. (c) Y (x) = Ae*, where A is a constant;
d. (d) Y (x)=x", where n is odd; and
e. (e). (x)=x+x².
Chapter 13 Solutions
Physical Chemistry
Ch. 13 - In your own words, explain why an object that has...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Identify the symmetry elements present in the...Ch. 13 - Prob. 13.4ECh. 13 - Prob. 13.5ECh. 13 - Prob. 13.6ECh. 13 - Prob. 13.7ECh. 13 - Prob. 13.8ECh. 13 - Any axis of symmetry Cn that rotates an object by...Ch. 13 - Prob. 13.10E
Ch. 13 - Prob. 13.11ECh. 13 - Prob. 13.12ECh. 13 - Prob. 13.13ECh. 13 - What are the number of classes and the order of...Ch. 13 - Prob. 13.15ECh. 13 - a Show that the C3v point group satisfies the...Ch. 13 - a In the Td point group, an S41 improper rotation...Ch. 13 - Determine which single symmetry operation of the...Ch. 13 - Prob. 13.19ECh. 13 - Prob. 13.20ECh. 13 - Prob. 13.21ECh. 13 - Figure 13.27 shows the structure of the molecule...Ch. 13 - Prob. 13.23ECh. 13 - Identify all the symmetry elements present in the...Ch. 13 - Point groups are called such because all of the...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point group of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Determine the point groups of the following...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Structural isomers can have very different point...Ch. 13 - Prob. 13.32ECh. 13 - Identify the point group of the wave functions of...Ch. 13 - Identify the point group of the wave functions of...Ch. 13 - Prob. 13.35ECh. 13 - Determine if the following species have permanent...Ch. 13 - Determine if the following species have permanent...Ch. 13 - Which of the following species will not have...Ch. 13 - Prob. 13.39ECh. 13 - Explain why a molecule with a center of inversion...Ch. 13 - a Unlike methane, bromochlorofluoromethane...Ch. 13 - Prob. 13.42ECh. 13 - Prob. 13.43ECh. 13 - Prob. 13.44ECh. 13 - Show that the irreducible representations of the...Ch. 13 - Show that any two of the irreducible...Ch. 13 - Show that any irreducible representation of these...Ch. 13 - Explain why this proposed irreducible...Ch. 13 - Prob. 13.49ECh. 13 - Prob. 13.50ECh. 13 - Why is it unnecessary to consider whether an...Ch. 13 - Prob. 13.52ECh. 13 - Prob. 13.53ECh. 13 - Prob. 13.54ECh. 13 - Prob. 13.55ECh. 13 - Prob. 13.56ECh. 13 - Prob. 13.57ECh. 13 - Prob. 13.58ECh. 13 - Reduce the following reducible representations...Ch. 13 - Determine the resulting representations for the...Ch. 13 - Prob. 13.61ECh. 13 - Without using the great orthogonality theorem,...Ch. 13 - Assume that you are evaluating the integral of...Ch. 13 - Prob. 13.64ECh. 13 - Assume that x- polarized light can be assigned an...Ch. 13 - Prob. 13.66ECh. 13 - Prob. 13.67ECh. 13 - Prob. 13.68ECh. 13 - Prob. 13.69ECh. 13 - Prob. 13.70ECh. 13 - Construct the symmetry-adapted linear combination...Ch. 13 - Prob. 13.72ECh. 13 - Prob. 13.73ECh. 13 - Prob. 13.74ECh. 13 - Prob. 13.75ECh. 13 - Prob. 13.76ECh. 13 - Prob. 13.77ECh. 13 - Suppose you use p0,p1 and p+1 along with s...Ch. 13 - Show that the individual sp orbitals, as written...Ch. 13 - Prob. 13.80ECh. 13 - What is the rough hybridization of the carbon...Ch. 13 - Determine the symmetry species of the D3h point...Ch. 13 - Determine the D3h symmetry species of the sp3d...Ch. 13 - Prob. 13.84ECh. 13 - In propene CH3CH=CH2, the first carbon has sp3...Ch. 13 - Prob. 13.87ECh. 13 - Prob. 13.88ECh. 13 - Prob. 13.89E
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, chemistry and related others by exploring similar questions and additional content below.Similar questions
- 4) Is the function = B sin (bx) an eigenfunction of the operator d/dx = = d/dx if B and b are constants and real numbers? Show your work in detail.arrow_forwardWhat is the maximum degeneracy of the wavefunctions of a particle confined to the interior of an icosahedral nanoparticle?arrow_forward5. Using a table of Hermite Polynomials, provide the property normalized 42. You may 1 (as verify your answer with: n(x) = (21)² H₂ (α²x) e-x² 2nn! 2.arrow_forward
- write the sentence that corresponds to this matrix [5, 3, 1, 1/2]arrow_forwardShow complete solutions, please.arrow_forward4. Use the following diagrams to answer (a) and (b). l/2 tum (C,) a2 O Screenshot(Alt + A) H H' H, H H H. 12 um rotation А в (a) Write down the characters of the matrices representing the C2 rotation, using the basis shown in A, B, and C. (b) Write down the matrix equations and find the characters of the matrices representing the operation of reflection in the plane of the molecule, using the basis shown in A, B, and C.arrow_forward
- 1) The Hückel matrix for molecule; x 10 H = 1 x 1 where x = - a-E В is The secular equation is HC=0 which is used to 0 1 x find Huckel molecular orbitals of the above molecule where E is the energy(eigenvalue), a and ß are constants. Find the energy values(eigenvalues) in terms of a and B, then find the normalized eigenvectors (vector C).arrow_forwardwhy C and P have no diagonal effect?arrow_forwardcan the function x2e-ax^2 be normalized in the range of -inf to inf, and if so what is the normalization factor?arrow_forward
- Normalize the wave function e-ax in the range 0≤x≤ ∞, with a > 0.arrow_forwardThe group D2h has a C2 axis perpendicular to the principal axis and a horizontal mirror plane. Show that the group must therefore have a centre of inversion.arrow_forward4. Given these operators A=d/dx and B=x², can you measure the expectation values of the corresponding observables to infinite precision simultaneously?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,
Physical Chemistry
Chemistry
ISBN:9781133958437
Author:Ball, David W. (david Warren), BAER, Tomas
Publisher:Wadsworth Cengage Learning,