Author(s): N. B. Brandt, S. M. Chudinov
Publisher: Mir Publishers
Language: English
City: Moscow
3/lEKTPOHHAfl CTPyKTyPA META/I/IOB
N. B. BRANDT and S. M. CHUDINOV
electnonic structure
of metals
Flriil puhlliihcd 1075
Ncvl»cd (rom thc 1073 Russlan édition
CONTENTS
INTRODUCTION
CHAPTER ONE
THE CRYSTAL LATTICE
(i.2)
M|n = p(i„+1 + i„_1-2y
œ=± 2/^/4 sin^- (1.6)
m%2n+\ = P (l2»+2 + I2n — 2|2n+I)
(112)
— P(i + i) rp V (i + ir)2
(iX—£
f
■M
c" = -^-~r2 (i.4i)
OCx.)2
U J tr
V P )
,-^CHAPTER TWO
OF VALENCE ELECTRONS
f« ——j . "= 1.2,... (2.1)
VR (r) t (r) = Y, (®« “ ea) (*) S IC (r‘')e^'
u(r + a)= e~lk{k+a)^(r a) = e~ik r\|i(r) — u (r)
ip(r) = u(r)eikr (2.10)
u(r + a) — u(r) (2.11)
l-i^iE
4r~E^«* (2-20)
(2.21)
}
<=. 2mn
< (x) = e<0)<> (x) (2.26)
= ^(k) + Veff + Yj
-e^W + Veff+Y,
<2-36>
+P(V*ff)l2==eCt
(^)2,« + K + (^ff)22-e]P = 0
O'*),.
O'.»).,' h +
V2——p,«0.172-2j-
>,-=(-s-),',(^)*0-986jr P-55»
T < Pf <~
<2-5«
« 171%- <2-66>
% <2'68>
dx) 8*
j,,ni ü'JinV >/, i/, , ,n oc,
nîl,èl1
(2.86)
dMï=jéwdP*dP« (2-90)
'■»=V (” + 4) = V (" + i) <2-96)
0, 1,2, ... .
g = 2^- (2.101)
2m/z© ( nmax + 1 + ÿ) > 2m®f > 2mh(ù («max + Ÿ)
/u \ V2 , fia»
2 U J
(Vr+V2)v$ f
(VT + V2 + ••• + Vn)
'2 (2.120)
(2.121)
(2.122)
<2-l23>
A("tf )
l"* 2\)
['-(« + i)-i(2129)
*0, -te" (2.141)
\B\
(2.155)
(*«)./“ (Ko»)
- Z [<««?'W-("+y)(2-156)
I [«
CHAPTER THREE
ELECTRIC CONDUCTIVITY OF METALS
a= in2,,!i";y,%fcose O.?)
2| . m 2, pf+Apcose
3(W (3-9)
2 |e|S,/
_ 1*1*2^ 1 \ e \2 t 2,\p
“ëT
tdr = iï[EH]
©
CHAPTER FOUR
EXPERIMENTAL METHODS FOR STUDYING THE ENERGY SPECTRUM OF ELECTRONS IN METALS
[ + »2^r
k
+ ^+P. + lul. = K <4'4l)
hQ,mz
A(/r)
Zj%=e and U =e _ifM
r2 v^i_
1 L2jt s© J—
BIBLIOGRAPHY
