University Physics Volume 3
17th Edition
ISBN: 9781938168185
Author: William Moebs, Jeff Sanny
Publisher: OpenStax
expand_more
expand_more
format_list_bulleted
Textbook Question
Chapter 9, Problem 15CQ
If the election number density (N/V) of a metal increases by a factor 8, what happens to the Fermi energy (EF)?
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
A certain material has a molar mass of 20.0 g/mol, a Fermi energy of 5.00 eV, and 2 valence electrons per atom.What is the density (g/cm3)?
typical fermi energy level for metal at 0 kelvin is 5ev. What is the fermi speed of electron gas in the metal
The density of sodium metal at room temperature is 0.95 g/cm³. Assuming that there
is one conduction electron per sodium atom, calculate the Fermi energy and Fermi tempera-
ture of sodium.
Chapter 9 Solutions
University Physics Volume 3
Ch. 9 - Check Your Understanding Why is the potential...Ch. 9 - Check Your Understanding What does the energy...Ch. 9 - Check Your Understanding If the dissociation...Ch. 9 - Check Your Understanding What happens to the...Ch. 9 - Check Your Understanding How does the magnitude of...Ch. 9 - Check Your Understanding What conditions are...Ch. 9 - What is the main difference between an ionic bond,...Ch. 9 - For the following cases, what type of bonding...Ch. 9 - Describe three steps to ionic bonding.Ch. 9 - What prevents a positive and negative ion from...
Ch. 9 - For the H2 molecule, why must the spins the...Ch. 9 - Does the absorption spectrum of the diatomic...Ch. 9 - Rank the energy spacing (E) of the following...Ch. 9 - Explain key features of a vibrational-rotation...Ch. 9 - Why is tbe equilibrium separation distance between...Ch. 9 - Describe the difference between a face-centered...Ch. 9 - In sodium chloride, how many Clatoms are “nearest...Ch. 9 - In cesium iodide, how many Clatoms are "nearest...Ch. 9 - The NaCl crystal structure is FCC. The equilibrium...Ch. 9 - Why does the Fermi energy (EF) increase with the...Ch. 9 - If the election number density (N/V) of a metal...Ch. 9 - Why does the horizontal Line in the graph in...Ch. 9 - Why does the graph in Figure 9.12 increase...Ch. 9 - Why are the sharp transitions at the Fermi energy...Ch. 9 - What are the two main approaches used to determine...Ch. 9 - Describe two features of energy levels for an...Ch. 9 - How does the number of energy levels in a band...Ch. 9 - Why are some materials very good conductors and...Ch. 9 - Why are some materials semiconductors?Ch. 9 - Why does the resistance of a semiconductor...Ch. 9 - What kind of semiconductor is produced if...Ch. 9 - What kind of semiconductor is produced if silicon...Ch. 9 - What is the Hall effect and what is it used for?Ch. 9 - For an n-type semiconductor, how do impurity atoms...Ch. 9 - For a p-type semiconductor, how do impurity atoms...Ch. 9 - When p- and n-type materials are joined, why is a...Ch. 9 - When p- and n-type materials are joined, why does...Ch. 9 - How do you know if a diode is in the forward...Ch. 9 - Why does the reverse bias configuration lead to a...Ch. 9 - What happens in the extreme case that where the n-...Ch. 9 - Explain how an audio amplifier works, using the...Ch. 9 - Describe two main features of a superconductor.Ch. 9 - How does BCS theory explain superconductivity?Ch. 9 - What is the Meissner effect?Ch. 9 - What impact does an increasing magnetic field have...Ch. 9 - The electron configuration of carbon is 1s22s22p2....Ch. 9 - Potassium chloride (KCl) is a molecule formed by...Ch. 9 - The electron affinity of Cl is 3.89 eV and the...Ch. 9 - The measured energy dissociated energy of KC1 is...Ch. 9 - In a physics lab, you measure the vibrational-...Ch. 9 - For the preceding problem, find the equilibrium...Ch. 9 - The separation between oxygen atoms in an O2...Ch. 9 - The characteristic energy of the N2 molecule is...Ch. 9 - The characteristic energy for KCl is 1.4105eV ....Ch. 9 - A diatomic F2 molecule is in the l = 1 state, (a)...Ch. 9 - In a physics lab, you measure the vibrational-...Ch. 9 - The Csl crystal structure is BCC. The equilibrium...Ch. 9 - The potential energy of a crystal is - 8.10 eV/ion...Ch. 9 - The measured density of a NaF crystal is 2.558...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - Determine the dissociation energy of 12 moles of...Ch. 9 - The measured density of a KCl crystal is 1.984...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - The measured density of a CsCl crystal is 3.988...Ch. 9 - What is the difference in energy between the...Ch. 9 - An electron is confined to a metal cube of I = 0.8...Ch. 9 - What value of energy corresponds to a density of...Ch. 9 - Compare the density of states at 2.5 eV and 0.25...Ch. 9 - Consider a cube of copper with edges 1.50 mm long....Ch. 9 - If there is one free electron per atom of copper,...Ch. 9 - Determine the Fermi energy and temperature for...Ch. 9 - For a one-dimensional crystal, write the lattice...Ch. 9 - What is the main difference between an insulator...Ch. 9 - What is the longest wavelength for a photon that...Ch. 9 - A valence electron in a crystal absorbs a photon...Ch. 9 - An experiment is performed to demonstrate the Hall...Ch. 9 - Suppose that the cross-sectional area of the strip...Ch. 9 - A current-carrying copper wire with cross-section...Ch. 9 - The Hall effect is demonstrated in the laboratory....Ch. 9 - Show that for V less than zero, InetI0.Ch. 9 - A p-n diode has a reverse saturation current...Ch. 9 - The collector current of a transistor is 3.4 A for...Ch. 9 - Applying the positive end of a battery to the...Ch. 9 - The base current of a transistor is 4.4 A, and its...Ch. 9 - At what temperature, in terms of Tc, is the...Ch. 9 - What is the critical magnetic field for lead at T...Ch. 9 - A Pb wire wound in a tight solenoid of diameter of...Ch. 9 - A tightly wound solenoid at 4.0 K is 50 cm long...Ch. 9 - Potassium fluoride (KF) is a molecule formed by...Ch. 9 - For the preceding problem, sketch the potential...Ch. 9 - The separation between hydrogen atoms in a H2...Ch. 9 - The characteristic energy of the Cl2 molecule is...Ch. 9 - Determine the lowest three rotational energy...Ch. 9 - A carbon atom can hybridize in the...Ch. 9 - List five main characteristics of ionic crystals...Ch. 9 - Why is bonding in favorable? Express your answer...Ch. 9 - Astronomers claim to find evidence of He2 from...Ch. 9 - Show that the moment of inertia of a diatomic...Ch. 9 - Show that the average energy of an electron in a...Ch. 9 - Measurements of a superconductor's critical...Ch. 9 - Estimate the fraction of Si atoms that must be...Ch. 9 - Transition in the rotation spectrum are observed...Ch. 9 - Determine the Fermi energies for (a) Mg, (b) Na,...Ch. 9 - Find the average energy of an electron in a Zn...Ch. 9 - What value of the repulsion constant, n, gives the...Ch. 9 - A physical model of a diamond suggests packing...Ch. 9 - For an electron in a three-dimensional metal, show...
Additional Science Textbook Solutions
Find more solutions based on key concepts
An astronaut tightens a bolt on a satellite in orbit. He rotates in a direction opposite to that of the bolt, a...
College Physics
17. A speed skater moving to the left across frictionless ice at 8.0 m/s hits a 5.0-m-wide patch of rough ice....
Physics for Scientists and Engineers: A Strategic Approach with Modern Physics (4th Edition)
The proton is a composite particle composed of three quarks, all of which are either up quarks (u; charge +23e)...
Essential University Physics: Volume 2 (3rd Edition)
1. A cyclist goes around a level, circular track at constant speed. Do you agree or disagree with the following...
College Physics: A Strategic Approach (4th Edition)
In an isothermal reversible expansion at 27 , an ideal gas does 20 J of work. What is the entropy change of the...
University Physics Volume 2
1. a. Can a vector have nonzero magnitude if a component is zero? If no, why not? If yes, give an example.
b. C...
College Physics: A Strategic Approach (3rd Edition)
Knowledge Booster
Similar questions
- The Fermi energy of sodium is 3.23 eV. (a) Find the average energy Eav of the electrons at absolute zero. (b) What is the speed of an electron that has energy Eav ? (c) At what Kelvin temperature T is kT equal to EF ? (This is called the Fermi temperature for the metal. It is approximately the temperature at which molecules in a classical ideal gas would have the same kinetic energy as the fastest-moving electron in the metal.)arrow_forwardA certain bivalent metal has a density of 6.906 g/cm3 and a molar mass of 97.8 g/mol. Calculate (a) the number density of conduction electrons, (b) the Fermi energy, (c) the Fermi speed, and (d) the de Broglie wavelength corresponding to this electron speed.arrow_forwardThe Fermi energy of aluminum is 11.6 eV; its density and molar mass are 2.70 g/cm3 and 27.0 g/mol, respectively. From these data, determine the number of conduction electrons per atom.arrow_forward
- Silver contains 5.8 * 1028 free electrons per cubic meter. At absolute zero, what is the Fermi energy (in J and eV) of silver?arrow_forwardThe Fermi energy of silver is µF = 5.51 eV. a) Calculate µ(7) of Ag at T = 400 and 4000 K. b) What is the rms speed of electrons at 0 K? What is the Fermi velocity? c) Plot the Fermi function at 0 and 4000 K in one graph and discuss the differences.arrow_forwardThe Fermi energy is the highest energy of an electron at 0K. At what temperature can we expect a 10% probability that the electrons in silver have an energy that is 1% above the Fermi energy of 5.5 eV?arrow_forward
- The Fermi energy is the highest energy of an electron at 0k.At what temperature can we expect a 10% probability that the electrons in silver have an energy that is 2% above the Fermi energy of 5.5eV?arrow_forwardThe average energy of an electron in a specific metal at 0 K is 2.9 eV. Calculate the value of the Fermi energy in a specific metal. (A) 5.51 eV (В) 2.44 eV (С) 4.83 eV (D) 2.83 eVarrow_forwardThe Fermi energy of copper is 7.0 eV. Verify that the corresponding Fermi speed is 1600 km/s.arrow_forward
- Q3/ An experiment was conducted to find the relationship between the specific heat of potassium metal and the temperature, and it was found that this relationship takes the following formula at low temperatures 2.08 +2.57 T2 What is the value of each of: (1) the fermi temperature of potassium? (b) Debye temperature of potassium? Note that specific heat is measured in units of mj / mol / K.arrow_forwardSilicon is doped with phosphorus atoms (column V of Mendeleev table) with a concentration of 1018 cm-3 a- What is, at 27 °C, the electron density in doped Si. Use this result to derive the hole density. Which type of semiconductor is obtained? b- Calculate, at 27 °C, the position of the Fermi level EF and plot the band diagram.arrow_forwardQ2: For tungsten the total number of free electrons (n) and Fermi level. Assume that there are two free electrons per atom. If density=18.8×10°kg/m³, and atomic weight=184. (Ans. 1.23x1029/m³, 8.95eV) gy level is 0 0aarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
University Physics Volume 3PhysicsISBN:9781938168185Author:William Moebs, Jeff SannyPublisher:OpenStax
Modern PhysicsPhysicsISBN:9781111794378Author:Raymond A. Serway, Clement J. Moses, Curt A. MoyerPublisher:Cengage Learning
University Physics Volume 3
Physics
ISBN:9781938168185
Author:William Moebs, Jeff Sanny
Publisher:OpenStax
Modern Physics
Physics
ISBN:9781111794378
Author:Raymond A. Serway, Clement J. Moses, Curt A. Moyer
Publisher:Cengage Learning