The force constants of germanium

The force constants of germanium

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 ...

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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