164
LATTICE
AIg.
CONFERENCE
A C O M P A R I S O N OF T H E T H E R M O D Y N A M I C F.CoC. AND H.C.P. LATTICES C. I s e n b e r g a n d C. D o m b London, W.C.2, England) By
suitable
possible with
short
range
to
the
central
force
lattices.
Pade
temperature
by
polymorphic
A20.
the
specific
and
transition
VIBRATION
THE
FORCE
The developed, its
elastic
modes
into
out
with
T o be
published
have
their
become
on l a t t i c e s the
method
nearest
temerature
been
obtained
for
the
advance
properties
on the to
and
high
temperatures.
relevance
is
neighbour
expansions,
thermodynamic
at a l l
College,
the
of
The
earlier
cal-
observed
is n o t e d .
(PERICLASE) 9
Military
College
Theory
account
given
wave
constants.
and
helium
moments
6
C.C.R.
Reactor
Physics
OF G E R M A N I U M
to the
are
and
paper
with
1 No.
OF T H E
recently
continuation
J o u a n i n I0 ( E u r a t o m (Varese) Italy)
Karman
taking
constants,
normal
9.
Born-yon
neighbours
force
(Royal
heats
this
low
compared
solid
OF MO g
CONSTANTS
N . K . P o p e II Canada)
even the
a considerable
Domb, in
in
of a n a l y t i c
accurately
J. P e r e t t i a n d Ch. Department, Ispra,
A21.
term
SPECTRA
moments
models
Vol.
King's
it has
In
lattice
Nineteen
one
represent
Barton
LATTICE
interactions. H.C.P.
method
c a n be
therefore
culatlons
of s p e c t r a l
Using
series,
lattices
results
computers
and
AND
Laboratory,
large
numbers
TITLES
PROPERTIES
(Wheatstone
interactions.
approcimate
AND
of e l e c t r o n i c
molecular
F°C.C.
on b o t h
both
use
to c a l c u l a t e
applied
the
ABSTRACTS
of
the
of C a n a d a ,
diamond-type
interactions
sixth. for
Explicit
the
vectors
in
A non-linear
between
the
crystal each
expressions,
frequencies
least
Kingston,
symmetry squares
and
Ontario,
has
atom
been
and
in t e r m s
eigenvectors
of the for
directions
and
fit
elastic
to
the
all
for
the con-
elsewhere.
i0.
University
ii.
M u c h of the r e s e a r c h r e p o r t e d i n t h i s p a p e r w a s c a r r i e d out w h i l e the a u t h o r w a s a m e m b e r o f the T h e o r e t i c a l P h y s i c s B r a n c h of the Chalk River Laboratories. I n the l a t e r s t a g e s the w o r k h a s b e e n s u p p o r t e d b y the D e f e n c e R e s e a r c h B o a r d of C a n a d a .
of Montpellier,
Montpell~er,
France.
Vol.
1 No.
stants that in
6
and measured
it
and
possibly It
constants
is
dynamical certain
directions. constants terms
not
in
AND
the
only
for
165
directions
interactions
Statistically
found
TITLES
symmetry
fifth-neighbour
the
Fourier
in reciprocal
Further,
of the
curves
data.
combinations
which
ABSTRACTS
into
significant
first
neighbour
shows account
values
for
interactions
others. that
matrix
take
the
were
three shown
linear
Fourier
to
to r e p r e s e n t
force
CONFERENCE
dispersion
is n e c e s s a r y
order
the
is
LATTICE
all
c a n be
Fourier
space
of the the
linearly
obtained
are
also
complete
c a n be
of the
from
data
Certain
derived.
given
present
analysing
symmetry
combinations
are
such
o f the
Fourier
i n the
necessary
The
to d e t e r m i n e
by
curves
independent
this
elements
obtained
dispersion
coefficients.
coefficients sufficiently
components
of force
directly
in
conditions
on the
experimental
a set
of F o u r i e r
data co-
efficients.
A22.
SHELL AND S O L I D S 12
EXCHANGE
B.G.
(University
Dick
Recently forces
model.
of This
foundations and
models
and
covalent
these
review along
lattice been
proposed
A23.
APPLICABILITY M.H. Brodsky for Research Philadelphia
dynamic electron
"shell
effective
Work supported
13.
Supported
in
Salt
exchange
which
are
these
phenomena°
are
OF
crystals
applications
INTERATOMIC
Lake
not
OF T H E
been
SHELL
m o d e l "I h a s charge
by
used
models
and
to
theory
the
Various
of i n t e r a t o m i c
to u n d e r s t a n d
by
their
forms
IN
Utah)
models
explained
MODEL
TO THE
a n d E. B u r e t e i n (Department on the S t r u c t u r e o f M a t t e r , 4, P e n n s y l v a n i a )
part
City,
charge
have
INTERACTIONS
the
simpler
Born
theoretical
of dielectric,
of the models
elastic
which
compared.
configurations.
12.
and
discusses
with
vibration
have
The
crystals
MODELS
of Utah,
shell
in i o n i c
features
CHARGE
the by
been
e + for The
crystals
U.S.
Science Atomic
VIBRATIONS
of P h y e i Q s University
successfully
experimental
National the
LATTICE
having
used ions
values
and Laboratory of Pennsylvania,
to c a l c u l a t e with
closed
of e + a r e
Foundation. Energy
OF L i H 13
Commission.
the shell
obtained