Bundle: Physical Chemistry, 2nd + Student Solutions Manual
2nd Edition
ISBN: 9781285257594
Author: David W. Ball
Publisher: Cengage Learning
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Chapter 10, Problem 10.53E
Show that the normalization constants for the general form of the wavefunction
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Chapter 10 Solutions
Bundle: Physical Chemistry, 2nd + Student Solutions Manual
Ch. 10 - State the postulates of quantum mechanics...Ch. 10 - Prob. 10.2ECh. 10 - State whether the following functions are...Ch. 10 - State whether the following functions are...Ch. 10 - Prob. 10.5ECh. 10 - Prob. 10.6ECh. 10 - Evaluate the operations in parts a, b, and f in...Ch. 10 - The following operators and functions are defined:...Ch. 10 - Prob. 10.9ECh. 10 - Indicate which of these expressions yield...
Ch. 10 - Indicate which of these expressions yield an...Ch. 10 - Why is multiplying a function by a constant...Ch. 10 - Prob. 10.13ECh. 10 - Using the original definition of the momentum...Ch. 10 - Under what conditions would the operator described...Ch. 10 - A particle on a ring has a wavefunction =12eim...Ch. 10 - Calculate the uncertainty in position, x, of a...Ch. 10 - For an atom of mercury, an electron in the 1s...Ch. 10 - Classically, a hydrogen atom behaves as if it were...Ch. 10 - The largest known atom, francium, has an atomic...Ch. 10 - How is the Bohr theory of the hydrogen atom...Ch. 10 - Though not strictly equivalent, there is a similar...Ch. 10 - The uncertainty principle is related to the order...Ch. 10 - Prob. 10.24ECh. 10 - Prob. 10.25ECh. 10 - For a particle in a state having the wavefunction...Ch. 10 - Prob. 10.27ECh. 10 - A particle on a ring has a wavefunction =eim,...Ch. 10 - Prob. 10.29ECh. 10 - Prob. 10.30ECh. 10 - Prob. 10.31ECh. 10 - Normalize the following wavefunctions over the...Ch. 10 - Prob. 10.33ECh. 10 - Prob. 10.34ECh. 10 - For an unbound or free particle having mass m in...Ch. 10 - Prob. 10.36ECh. 10 - Prob. 10.37ECh. 10 - Prob. 10.38ECh. 10 - Evaluate the expression for the total energies for...Ch. 10 - Prob. 10.40ECh. 10 - Verify that the following wavefunctions are indeed...Ch. 10 - In exercise 10.41a, the wavefunction is not...Ch. 10 - Prob. 10.43ECh. 10 - Prob. 10.44ECh. 10 - Explain why n=0 is not allowed for a...Ch. 10 - Prob. 10.46ECh. 10 - Prob. 10.47ECh. 10 - Prob. 10.48ECh. 10 - Carotenes are molecules with alternating CC and...Ch. 10 - The electronic spectrum of the molecule butadiene,...Ch. 10 - Prob. 10.51ECh. 10 - Prob. 10.52ECh. 10 - Show that the normalization constants for the...Ch. 10 - Prob. 10.54ECh. 10 - Prob. 10.55ECh. 10 - An official baseball has a mass of 145g. a...Ch. 10 - Is the uncertainty principle consistent with our...Ch. 10 - Prob. 10.58ECh. 10 - Prob. 10.59ECh. 10 - Instead of x=0 to a, assume that the limits on the...Ch. 10 - In a plot of ||2, the maximum maxima in the plot...Ch. 10 - Prob. 10.62ECh. 10 - Prob. 10.63ECh. 10 - The average value of radius in a circular system,...Ch. 10 - Prob. 10.65ECh. 10 - Prob. 10.66ECh. 10 - Prob. 10.67ECh. 10 - Prob. 10.68ECh. 10 - Prob. 10.69ECh. 10 - Assume that for a particle on a ring the operator...Ch. 10 - Mathematically, the uncertainty A in some...Ch. 10 - Prob. 10.72ECh. 10 - Prob. 10.73ECh. 10 - Verify that the wavefunctions in equation 10.20...Ch. 10 - An electron is confined to a box of dimensions...Ch. 10 - a What is the ratio of energy levels having the...Ch. 10 - Consider a one-dimensional particle-in-a-box and a...Ch. 10 - Prob. 10.78ECh. 10 - Prob. 10.79ECh. 10 - Prob. 10.80ECh. 10 - Prob. 10.81ECh. 10 - What are x,y, and z for 111 of a 3-D...Ch. 10 - Prob. 10.83ECh. 10 - Prob. 10.84ECh. 10 - Prob. 10.85ECh. 10 - Prob. 10.86ECh. 10 - Prob. 10.87ECh. 10 - Prob. 10.88ECh. 10 - Substitute (x,t)=eiEt/(x) into the time-dependent...Ch. 10 - Write (x,t)=eiEt/(x) in terms of sine and cosine,...Ch. 10 - Prob. 10.91ECh. 10 - Prob. 10.92ECh. 10 - Prob. 10.93ECh. 10 - Prob. 10.95E
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- Amorphous polymers are usually transparent and semi-crystalline polymers are usually opaque. Correct?(a) No. They are all made up of polymer chains. True if they were monomers.(b) Yes. The arrangement of the chains determines the passage of light.(c) No. It is the other way around.(d) Crystallinity or amorphousness does not affect the transparency or opacity of the material.arrow_forwardThe name ferrites refers to a family of(a) ceramic materials that exhibit ferrimagnetic behavior due to their ionic composition.(b) polymeric materials that exhibit ferrimagnetic behavior due to their ionic composition.(c) concrete-based materials that exhibit ferrimagnetic behavior due to their ionic composition.(d) superconducting materials that exhibit ferrimagnetic behavior due to their ionic composition.arrow_forwardState the two main factors affecting ion packing in the solid state.(a) Number of covalent bonds and their unsaturation.(b) Mechanical properties and degradation temperature.(c) Number of crystalline phases present and grain size.(d) Electroneutrality and ion size.arrow_forward
- The ceramic materials alumina (Al2O3) and chromium oxide (Cr2O3) form an isomorphic phase diagram. The solubility will be(a) unlimited of one ceramic in the other.(b) very limited depending on the weight % of Al2O3(c) very limited depending on the weight % of Cr2O3(d) partial of one ceramic in the other.arrow_forwardAmong the main characteristics of optical fibers, indicate which of the following is not included:(a) Opacity and Rigidity(b) Flexibility(c) Transparency(d) Low thicknessarrow_forwardMost ceramic materials have low thermal conductivities because(a) Electron mobility is strongly restricted due to their strong ionic-covalent bonding.(b) False, in general they are excellent thermal conductors (they are used in ovens).(c) Electron mobility is dependent on T and therefore they are poor conductors at high temperatures.(d) Electron mobility is highly restricted by secondary bonds.arrow_forward
- Si increases its conductivity when doped with Ga and P.(a) True, because the conduction mechanism is due to electrons and holes generated by Ga and P as the case may be.(b) True, because a completely different compound is generated.(c) False, because when impurities are introduced, the opposite occurs.(d) False, because the conductivity of Si is only determined by the increase in temperature, which must be controlled.arrow_forwardIndicate whether a configuration and a microstate are the same:a) Yesb) No, a microstate encompasses several configurationsc) No, a configuration is the same as a macrostated) No, a configuration encompasses several microstatesarrow_forwardThe representation of a one-dimensional velocity distribution function for a gas, with increasing temperature the maximum occurs for vi = 0 m/s. Correct?arrow_forward
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