6.186. 0 = (h/k) 13 /183-t2no/(0-13 + 2v- 2) = 470 K, where no is the
concentration of the atoms.
0
.4 0
c
0
0 w
H
C
C
H
wz
(0,1
EM 01--off-lb
(02
(a)
wk
cos
(b)
Fig. 46.
6.187. v kWh r6n2no = 3.4 km/s, where no is the concentration of the atoms. The tabulated values are: vii = 6.3 km/s,
v1=3.1 km/s.
6.188. The oscillation energy of a mole of a "crystal" is
8/T
T 12
x dx
k0
3
ex-1P
0
where x---hcolkT. Hence the molar heat capacity is
9/T
x dx
81T
C R ( 2T
8 J ex — 1
ee/T ___ 1 •
0
When T >> 0, the heat capacity C R.
6.189. (a) dN/do
21Ina 1
1
— co 2; (b) N = 11 a, i.e.
is equal to the number of the atoms in
dll
the chain.
dm _
6.190. U, = 9R0/8µ = 48.6 J/g,
8/2
whereµ is the molar mass of copper.
10-
6.191.
(a) 0
220 K; (b) C
10 J/(mol•K);
(c) comax = 4.1 x
X 1013 rad/s.
6.193. Yes, because the heat capac5 -
ity is proportional to T3 at these ternepi
peratures.
6.194. (E) = 3/8 k0.
6.195. See Fig. 47.
0.5
10
6.196. ko max = 28 meV, hkmax^'
g-cm/s.
Fig. 47.
6.197.
(a) T max = (3/i2n)2/3h2/2m;
(b) (7') = 3/5Tmax6.198. ri = 1 — 2-3P X 65%.
6.199. 0.93.
6.200. z 3.104 K.
360