EBK PHYSICS FOR SCIENTISTS & ENGINEERS
5th Edition
ISBN: 9780134296074
Author: GIANCOLI
Publisher: VST
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Chapter 40, Problem 23P
To determine
Find the ionic cohesive energy of NaCl molecule.
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(c) Calculate the Fermi energy of silver from the
data given below:
atom.
Density of Silver = 10.5 gm/cm³
atomic weight = 108
h = 6.62×10-34 Joule - sec
m = 9.1×10-³1 Kg.
Avogadro's number =6.02×10-21 atoms/gm-
(e) Explain what you understand by the statement: “the bonding in a solid is 30 % ionic and
70 % covalent". Why such types of bondings are occurred in a materials. Give proper
reasoning with examples.
3. (a) One way of treating the vibrational modes of a linear diatomic solid is to assume
that the atoms have the same masses, but the springs on either side of an atom have
spring constants K and G, respectively. Show that the dispersion relation of such a lattice
is given by
(K+G`
+G)' - 4KGsin ka
M
where M is the mass of the ion, G and K the lattice constants, a is the periodic distance
between masses and k the lattice wave vector.
(i)
(ii)
Sketch the dispersion relation
Discuss what happens when K = G and K >> G.
(b) In diatomic (linear) lattice, why do we assume same o and k.
Chapter 40 Solutions
EBK PHYSICS FOR SCIENTISTS & ENGINEERS
Ch. 40 - What type of bond would you expect for (a) the N2...Ch. 40 - Describe how the molecule CaCl2 could be formed.Ch. 40 - Does the H2 molecule have a permanent dipole...Ch. 40 - Although the molecule H3 is not stable, the ion...Ch. 40 - The energy of a molecule can be divided into four...Ch. 40 - Would you expect the molecule H2+ to be stable? If...Ch. 40 - Explain why the carbon atom (Z = 6) usually forms...Ch. 40 - Prob. 1PCh. 40 - (II) The measured binding energy of KCl is 4.43eV....Ch. 40 - (I) Show that the quantity 2/I has units of...
Ch. 40 - Prob. 9PCh. 40 - Prob. 23PCh. 40 - Prob. 24PCh. 40 - Prob. 25PCh. 40 - Prob. 26PCh. 40 - Prob. 27PCh. 40 - Prob. 28PCh. 40 - Prob. 30PCh. 40 - Prob. 31PCh. 40 - Prob. 32PCh. 40 - Prob. 33PCh. 40 - Prob. 34PCh. 40 - Prob. 35PCh. 40 - Prob. 36PCh. 40 - Prob. 37PCh. 40 - Prob. 38PCh. 40 - Prob. 39PCh. 40 - Prob. 40PCh. 40 - Prob. 41PCh. 40 - Prob. 42PCh. 40 - Prob. 43PCh. 40 - Prob. 44P
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- The measured density of a CsCl crystal is 3.988 g/cm3. What is the equilibrium separate distance of Cs+ and Cl- ions?arrow_forwardThe characteristic energy for KCl is 1.4105eV . (a) Determine for the KC1 molecule, (b) Find the separation distance between the K arid Cl atoms.arrow_forward2) (i) The Fermi Silver is temperature we 14% in which Fermi Energy of the 4.4 ev. At what (au expect a probability that electrons have an silver Joom density is 2% energy? (11) Consider silicon sample at temperature with hole 2x (012 cm-3 be energy a above the a) Estimate the electron density b) determine the acceptor density Concentration if the donor density is 1012arrow_forward
- Suppose a pure Si crystal has 5 × 1028 atoms m-3. It is doped by 1 ppm concentration of pentavalent As. Calculate the number of electrons and holes. Given that ni =1.5 × 1016 m-3.arrow_forward(b) Copper crystallises as FCC (face centred cubic). Given that the atomic radius and density of a given copper sample are 1.28 x 1010 m and 8.98 x 10' kg/m' respectively, carry out the following: Calculate the mass of the copper sample. T'ake Avogadro's number, NA = 6.023 x 1023 atoms/mole. (i) (ii) If the interatomic planar spacing, d, in the sample above is 2.96 x 1010 m, determine the angle at which the first Bragg reflection will occur from the (111) plane if x-radiation of wavelength 1.52 x 10-10 m is used for the analysis. (c) Give two uses of pure copper and two commercial applications of copper alloys.arrow_forward(e) Intrinsic silicon has effective densities of states in the conduction band and the valence band of 3.2 × 10¹⁹ cm−³ and 1.8 × 10¹⁹ cm-³, respectively. If the band gap is 1.12 eV, what is the concentration of intrinsic charge carriers in silicon at 300 K? A. 9.46 x 10⁹ m-³ 9.46 x 10⁹ cm-³ 0 m-3 2.40 x 1019 cm-3 B. C. D.arrow_forward
- (b) NaCl has the same structure as KCl. The Debye temperature for Nacl and KCl are 281k and 230k respectively. If lattice heat capacity of NaCl at 5k is 1.6 x 10-2jmol-!K-1, estimate the heat capacity of KCl at 5K and 3K. 1:1 narrow_forward(i) State and briefly explain the gross selection rule required for a molecule to give a pure rotational spectrum. What is the physical origin of the specific selection rule ΔJ = ±1? (ii) Explain how the bond length of a diatomic molecule may be determined from the measured spacing between the lines observed in its microwave spectrumarrow_forwardB/ A new semiconductor material is to be n-type and doped with 6x10¹ cm³ donor atoms. Assume complete ionization and assume N,= 0. The effective density of states functions are N, =1.&r 10¹ cm and N,= 1.2x10 cm³ at 7-300 K. A special semiconductor device fabricated with this material requires that the electron concentration be no greater than 6.08x10¹ cm³ at 7= 400 K. What is the minimum band gap energy required in this new material?arrow_forward
- 1.2 Below 24.5 K, Ne is a crystalline solid with an FCC structure. The interatomic interaction energy per atom can be written as: (1) 6 E(r) = -28 2E 14.45* (ii) (iii) – 12 13¹] (ev/atom) Where, & and o are constants that depend on the polarizability, the mean dipole moment, and the extent of overlap of core electrons. For crystalline Ne, & = 3.121 x 10-3 eV and a = 0.274 nm. 12.13 Show that the equilibrium separation between the atoms in an inert gas crystal is given by ro= (1.090) o. What is the equilibrium interatomic separation in the Ne crystal? Find the bonding energy per atom in solid Ne.arrow_forwardThe equilibrium separation between the two ions in the KCl molecule is 0.267 nm. (a) Assuming that the K+ and Cl- ions are point particles, compute the electric dipole moment of the molecule. (b) Compute the ratio of your result in (a) to the measured electric dipole moment of 5.41 x 10-29 C*m. This ratio is known as the fractional ionic character of the molecular bond.arrow_forwardCu Assume that the crystal structure of metallic copper (Cu) results in a density of atoms p = 8.46 × 10²m 3. Each Cu atom in the crystal donates one electron to the conduction band, which leads, for the 3-D Fermi gas, to a densityu of states g(ɛ) = 2 x = ( 2 m ² ) ² 1/2 where m is the effective mass of the conduction electrons. In the low temperature limit (i.c. T = 0 K), find the Fermi energy E, in units of eV. You may assume m* to be equal to the free electron mass marrow_forward
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