Essential University Physics: Volume 2 (3rd Edition)
3rd Edition
ISBN: 9780321976420
Author: Richard Wolfson
Publisher: PEARSON
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Question
Chapter 37, Problem 24E
To determine
The equilibrium ionic separation in LiF.
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The elements A and B crystallize in bcc and fcc structures, respectively. Suppose that (i) the crystals of A
and B have the same density, and (ii) the nearest-neighbor distances in these crystals are equal. Calculate the
ratio MA/MB, where MA and MB denote the masses of the A and B atoms, respectively.
The ionic crystal of NaCl has an fcc structure as
shown below with the position of the Cl atom
located at : (0 0 0); (½ ½ 0); ( ½ 0 %) and (0
½) and Na atom is located at : (½ ½½) + fcc
translation.
The following are the physical data of NaCl:
- Ionic radius Na = 0.98 A, Cl ion radius
1.81 A
Atomic mass of Na = 22.99 amu, Atomic
mass of Cl = 35.45 amu
NaCl bulk modulus = 2.40 x 1010 N/m
- Madelung's constant = 1.75
Young's modulus in the direction [100] = 5
x 1010 Nm-2
Debye temperature = 281 K
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State the structural factors of NaCl, F in
fNa and fCl (f = atomic scattering factor).
Also determine the condition (h k 1) so that
the value of F = 0.
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.
Chapter 37 Solutions
Essential University Physics: Volume 2 (3rd Edition)
Ch. 37.1 - Prob. 37.1GICh. 37.2 - If a scientist uses microwave technology to study...Ch. 37.3 - Prob. 37.3GICh. 37 - If you push two atoms together to form a molecule,...Ch. 37 - Prob. 2FTDCh. 37 - Prob. 3FTDCh. 37 - Does it make sense to distinguish individual NaCl...Ch. 37 - Prob. 5FTDCh. 37 - Prob. 6FTDCh. 37 - Radio astronomers have discovered many complex...
Ch. 37 - Prob. 8FTDCh. 37 - Prob. 9FTDCh. 37 - Prob. 10FTDCh. 37 - Prob. 11FTDCh. 37 - Prob. 12FTDCh. 37 - Prob. 13FTDCh. 37 - Prob. 14FTDCh. 37 - Prob. 15FTDCh. 37 - Prob. 16ECh. 37 - Prob. 17ECh. 37 - Prob. 18ECh. 37 - Prob. 19ECh. 37 - Prob. 20ECh. 37 - Prob. 21ECh. 37 - Prob. 22ECh. 37 - Prob. 23ECh. 37 - Prob. 24ECh. 37 - Prob. 25ECh. 37 - Prob. 26ECh. 37 - Prob. 27ECh. 37 - Prob. 28ECh. 37 - Prob. 29PCh. 37 - Prob. 30PCh. 37 - Prob. 31PCh. 37 - Prob. 32PCh. 37 - Prob. 33PCh. 37 - Prob. 34PCh. 37 - Prob. 35PCh. 37 - Prob. 36PCh. 37 - Prob. 37PCh. 37 - Prob. 38PCh. 37 - Prob. 39PCh. 37 - Prob. 40PCh. 37 - Prob. 41PCh. 37 - Prob. 42PCh. 37 - Prob. 43PCh. 37 - Prob. 44PCh. 37 - Prob. 45PCh. 37 - Prob. 46PCh. 37 - Prob. 47PCh. 37 - Prob. 48PCh. 37 - Prob. 49PCh. 37 - Prob. 50PCh. 37 - Prob. 51PCh. 37 - Prob. 52PCh. 37 - Prob. 53PCh. 37 - Prob. 54PCh. 37 - The critical field in a niobium-titanium...Ch. 37 - The transition from the ground state to the first...Ch. 37 - Prob. 57PCh. 37 - Prob. 58PCh. 37 - Youre troubled that Example 37.1 neglects the mass...Ch. 37 - Prob. 60PCh. 37 - The Madelung constant (Section 37.3) is...Ch. 37 - Prob. 62PCh. 37 - (a) Count the number of electron states N(E) with...Ch. 37 - Prob. 64PCh. 37 - Prob. 65PCh. 37 - Prob. 66PCh. 37 - Prob. 67PCh. 37 - Prob. 68PPCh. 37 - Prob. 69PPCh. 37 - Prob. 70PPCh. 37 - Prob. 71PP
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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 measured density of a KCl crystal is 1.984 g/cm3. What is the equilibrium separation distance of K+ and Cl- ions?arrow_forwardThe measured density of a NaF crystal is 2.558 g/cm3 . What is the equilibrium separate distance of Na+ and Flions?arrow_forward
- Body-centered cubic structure. (a) Show that for BCC the lattice length a in terms of the atomic radius is 4R/√3. (b) Calculate the volume of a BCC unit cell in terms of the atomic radius R. (c) Show that the atomic packing factor for the BCC crystal structure is 0.68.arrow_forwardSOLID STATE physicsarrow_forwardHow would I find the atomic mass of the metal?arrow_forward
- The density of potassium, which has the FCC structure and one atom per lattice point, is 0.855 g/cm3. The atomic weight of potassium is 39.09 g/mole and Avogadro's number, NA= 6.02*1023 atom/mol. The lattice parameter for this structure is equal to: O a. a,= 6.7223*10 8 cm O b. ao= 5.6355*108 cm O c. a,= 6.3355*108 cm O d. ao= 5.3355*10 8 cmarrow_forwardFor the cubic NaCl structure, shown in the figure, (a) calculate the reciprocal space translations vectors, and (b) write down the lattice type of this reciprocal lattice. Na+ Crarrow_forwardConsider a face centered cubic (fcc) crystal in which one atom is placed at each lattice point. The lattice constant is a = 0.7 \: nma=0.7nm. Calculate the volume density of atoms (i.e. number of atoms per unit volume) in units of cm^{-3}cm−3. Values within 5% error will be considered correct.arrow_forward
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