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==CHAPTER III - POSITIVE   RAYS==
==CHAPTER III - POSITIVE RAYS= ==14. Nature of Positive Rays== Positive rays were dis covered by Goldstein in 1886 in electrical discharge at low
pressure. In some experiments with a perforated cathode he
noticed streamers of Hght behind the perforations. This
luminosity, he assumed, was due to rays of some sort which
travelled in the opposite direction to the cathode rays and
so passed through the apertures in the cathode, these he called " canalstrahlen." ^ Subsequently Wien showed that they
could be deflected by a magnetic field.^ They have been very
fully investigated in this country by Sir J, J. Thomson,^ who
called them Positive Rays on account of the fact that they
normally carry a charge of positive electricity.


===14.  Nature  of Positive  Rays===
The conditions for the development of the rays are, briefly,
Positive  rays were  dis-
ionisation at low pressure in a strong electric field. lonisation, which may be due to coUisions or radiation, means in its
covered by  Goldstein  in  1886  in  electrical  discharge  at low
simplest case the detachment of one electron from a neutral
pressure. In  some  experiments  with  a perforated  cathode  he
atom. The two resulting fragments carry charges of electricity
noticed  streamers  of Hght  behind  the  perforations. This
of equal quantity but of opposite sign. The negatively charged
luminosity, he  assumed,  was  due  to  rays  of some  sort  which
one is the electron, the atomic unit of negative electricity
travelled  in  the opposite  direction  to  the cathode  rays  and
itself,* and is the same whatever the atom ionised. It is
so  passed  through  the  apertures  in the cathode, these  he  called=
extremely light and therefore in the strong electric field rapidly attains a high velocity and becomes a cathode ray. The remain ing fragment is clearly dependent on the nature of the atom
ionised.  It is immensely more massive than the electron, for


"  canalstrahlen."  ^  Subsequently  Wien  showed  that  they
1 Goldstein, Berl. Ber., 39, 691,  1886.
could  be  deflected  by  a  magnetic  field.^  They  have  been  very
=3D=C2=BBWien, Verh. d. Phys. Gesell, 17,  1898.
fully  investigated  in  this  country  by  Sir  J, J. Thomson,^  who
called  them  Positive  Rays  on  account  of  the  fact  that  they
normally  carry  a  charge  of  positive  electricity.


The  conditions  for  the  development  of the  rays  are, briefly,
^ J. J. Thomson, Rays of Positive Electricity arid their Applicat ion
ionisation  at  low  pressure  in  a  strong  electric  field. lonisation,=
to Chemical Analyses, Longmans, Green, 1913.


which  may  be  due  to  coUisions  or  radiation,  means  in  its
* R. A. Millikan, The Electron, University Chicago Press, 1918.
simplest  case  the  detachment  of  one  electron  from  a  neutral
atom.  The  two  resulting  fragments  carry  charges  of  electricity
of  equal  quantity  but  of  opposite  sign.  The  negatively  charged
one  is  the  electron,  the  atomic  unit  of  negative  electricity
itself,*  and  is  the  same  whatever  the  atom  ionised.  It  is
extremely  light  and  therefore  in  the  strong  electric  field  rapidly=
 
attains  a  high  velocity  and  becomes  a  cathode  ray.  The  remain-
ing fragment  is  clearly  dependent  on  the  nature  of  the  atom
ionised.    It  is  immensely  more  massive  than  the  electron,  for
 
1  Goldstein,  Berl.  Ber.,  39,  691,    1886.
=3D=C2=BBWien,  Verh.  d.  Phys.  Gesell,  17,    1898.
 
^  J.  J.  Thomson,  Rays  of  Positive  Electricity  arid  their  Applicat=
ion
to  Chemical  Analyses,  Longmans,  Green,  1913.
 
* R. A. Millikan, The Electron, University Chicago Press, 1918.


22
22




POSITIVE RAYS 23
POSITIVE RAYS 23
 
the  mass  of  the  Hghtest  atom,  that  of  hydrogen,  is  about  1845
times  that  of  the  electron,  and  so  will  attain  a  much  lower
velocity  under  the  action  of  the  electric  field.  However,  if
the  field  is  strong  and  the  pressure  so  low  that  it  does  not
colhde  with  other  atoms  too  frequently  it  will  ultimately  attain=
 
a  high  speed  in  a  direction  opposite  to  that  of  the  detached
electron,  and  become  a  "positive  ray."  The  simplest  form
of  positive  ray  is  therefore  an  atom  of  matter  carrying  a
positive  charge  and  endowed,  as  a  result  of  faUing  through  a
high  potential,  with  sufficient  energy  to  make  its  presence
detectable.  Positive  rays  can  be  formed  from  molecules  as
well  as  atoms,  so  that  it  will  at  once  be  seen  that  any  measur=
e-
ment of  their  mass  wiU  give  us  direct  information  as  to  the
masses  of  atoms  of  elements  and  molecules  of  compounds,  and
that  this  information  will  refer  to  the  atoms  or  molecules
individually,  not,  as  in  chemistry,  to  the  mean  of  an  immense
aggregate.  It  is  on  this  account  that  the  accurate  analysis  of
positive  rays  is  of  such  importance.
 
In  order  to  investigate  and  analyse  them  it  is  necessary
to  obtain  intense  beams  of  the  rays.  This  can  be  done  in
several  ways.  The  one  most  generally  available  is  by  the
use  of  the  discharge  in  gases  at  low  pressure.


===15.  Mechanism  of the electric discharge  in  gases  at low pressure===
the mass of the Hghtest atom, that of hydrogen, is about 1845
It  is  a somewhat  striking  anomaly  that whil=
times that of the electron, and so will attain a much lower
e
velocity under the action of the electric field. However, if
the  working  of the very  recently  invented  " Coohdge  " ray
the field is strong and the pressure so low that it does not
bulb  can  be  simply  described  and explained, this  is  far  from
colhde with other atoms too frequently it will ultimately attain a high speed in a direction opposite to that of the detached
being  the  case  with the  much  older  ordinary  "  gas  "  tube.
electron, and become a "positive ray." The simplest form
Notwithstanding  the immense  amount  of research  work  done
of positive ray is therefore an atom of matter carrying a
on  the discharge  at  low  pressure  its  most  obvious  phenomena
positive charge and endowed, as a result of faUing through a
are  weU  nigh  entirely  lacking  explanation.  Modern  measure-
high potential, with sufficient energy to make its presence
ments and  other  data  have  merely  destroyed  the  older  theories,
detectable. Positive rays can be formed from molecules as
without, as yet, giving  others  to replace  them.
well as atoms, so that it will at once be seen that any measur e ment of their mass wiU give us direct information as to the
masses of atoms of elements and molecules of compounds, and
that this information will refer to the atoms or molecules
individually, not, as in chemistry, to the mean of an immense
aggregate. It is on this account that the accurate analysis of
positive rays is of such importance.


For  the purposes  of  describing  positive  rays it  is not  necessary=
In order to investigate and analyse them it is necessary
to obtain intense beams of the rays. This can be done in
several ways. The one most generally available is by the
use of the discharge in gases at low pressure.


to  consider  such  puzzles  as  the " striated  discharge "  or  other=
==15. Mechanism of the electric discharge in gases at low pressure== It is a somewhat striking anomaly that whil e
the working of the very recently invented " Coohdge " X ray
bulb can be simply described and explained, this is far from
being the case with the much older ordinary " gas " tube.
Notwithstanding the immense amount of research work done
on the discharge at low pressure its most obvious phenomena
are weU nigh entirely lacking explanation. Modern measure ments and other data have merely destroyed the older theories,
without, as yet, giving others to replace them.


phenomena connected with the anode end of the tube, but
For the purposes of describing positive rays it is not necessary to consider such puzzles as the " striated discharge " or other phenomena connected with the anode end of the tube, but
some ideas as to what is going on near the cathode will be a=
some ideas as to what is going on near the cathode will be a considerable help in our interpretation of the results of positive ray analysis, and vice versa.


considerable  help  in  our  interpretation  of  the  results  of  positive=


ray  analysis,  and  vice  versa.
24 ISOTOPES


==16. The Crookes Dark Space== The comparatively dimly
lit space in front of the cathode, terminating at the bright
" negative glow " was first observed by Crookes. Its length
is roughly inversely proportional to the pressure of the gas in
the tube. Its boundary the edge of the negative glow is
remarkably sharp in most gases, quite amazingly so in pure
oxygen. If large plane cathodes are used so that the effect
of the glass walls up to now a complete mystery  is minimised
very accurate and consistent measurements can be obtained.
Such measurements have been made under a great variety of
conditions by the writer. ^ The distribution of electric force
in the dark space has also been determined for large plane
electrodes ^ but no theory yet put forward can account for
the numerical relations obtained in these investigations, nor
for others obtained later with perforated electrodes.^


24  ISOTOPES
One can, however, be fairly certain that ionisation is going
on at aU points throughout the dark space, and that it reaches a very high intensity in the negative glow. This ionisation
is probably caused for the most part by electrons hberated
from the surface of the cathode (Cathode Rays). These,
when they reach a speed sufficient to ionise by colhsion, fiber- ate more free electrons which, in their turn, become ionising
agents, so that the intensity of ionisation from this cause wiU tend to increase as we move away from the cathode. The
fiberation of the original electrons from the surface of the
cathode is generally regarded as due to the impact of positive
ions (Positive Rays) generated in the negative glow and the
dark space, but this idea, for which there is a fair amount of definite evidence, is now called in question by some recent
experiments of Ratner.*


===16.  The  Crookes  Dark  Space===
In addition to cathode ray ionisation the positive rays
The  comparatively  dimly
travelling towards the cathode themselves are capable of
lit  space  in  front  of  the  cathode,  terminating  at  the bright
ionising the gas, and radiation may also play an important
"  negative  glow  "  was  first  observed  by  Crookes.  Its  length
part in the same process.   The surface of the cathode will
is  roughly  inversely  proportional  to  the pressure  of the gas in
the  tube.  Its  boundary  the  edge  of  the  negative  glow  is
remarkably  sharp  in  most  gases, quite  amazingly  so  in  pure
oxygen.  If  large  plane  cathodes  are  used  so  that  the  effect
of  the  glass  walls  up  to  now  a  complete  mystery =
is  minimised
very  accurate  and consistent  measurements  can  be  obtained.
Such  measurements  have  been  made  under  a  great  variety  of
conditions  by  the writer. The distribution  of electric  force
in  the dark  space  has  also  been  determined  for  large  plane
electrodes  ^  but  no  theory  yet  put  forward  can  account  for
the  numerical  relations  obtained  in  these  investigations,  nor
for  others  obtained  later  with  perforated  electrodes.^


One  can, however, be  fairly  certain  that  ionisation  is  going
1 Aston, Proc. Roy. Soc. 79A, 80, 1907; Aston and Watson, ibid. 86A, 168,  1912 ; Aston, ibid. 87A, 428, 437,  1912.
on  at  aU  points  throughout  the  dark  space, and  that  it  reaches=


a  very  high  intensity  in  the  negative  glow. This  ionisation
2 Aston, Proc. Roy. Soc. 84A, 526,   1911.
is  probably  caused  for  the  most  part  by  electrons  hberated
from  the  surface  of  the  cathode  (Cathode  Rays). These,
when  they  reach  a  speed  sufficient  to  ionise  by  colhsion, fiber-=


ate  more  free  electrons  which, in  their  turn, become  ionising
3 Aston, Proc. Roy. Soc. 96A, 200,  1919.
agents, so  that  the  intensity  of  ionisation  from  this  cause  wiU=
* Ratner, Phil Mag. 40, 795,   1920.


tend  to  increase  as  we  move  away  from  the  cathode.  The
fiberation  of  the  original  electrons  from  the  surface  of  the
cathode  is  generally  regarded  as  due  to  the  impact  of  positive
ions  (Positive  Rays)  generated  in  the  negative  glow  and  the
dark  space,  but  this  idea,  for  which  there  is  a  fair  amount  of=


definite  evidence,  is  now  called  in  question  by  some  recent
POSITIVE RAYS 25
experiments  of  Ratner.*


In  addition  to cathode  ray  ionisation  the positive  rays
therefore be under a continuous hail of positively charged
travelling  towards  the cathode  themselves  are  capable of
particles. Their masses may be expected to vary from that
ionising  the gas, and radiation  may  also  play  an important
of the Ughtest atom to that of the heaviest molecule capable
part  in  the same  process.     The surface  of the cathode will
of existence in the discharge tube, and their energies from an
indefinitely small value to a maximum expressed by the
product of the charge they carry x the total potential appHed
to the electrodes. The latter is practically the same as the
fall of potential across the dark space. If the cathode be
pierced the rays pass through the aperture and form a stream
heterogeneous both in mass and velocity which can be subjected
to examination and analysis.


1  Aston, Proc. Roy. Soc. 79A, 80,  1907; Aston  and Watson,  ibid.=
==17. Methods of detecting positive rays== The glow
caused by the passage of the rays through rarefied gas led to
their original discovery but is not made use of in accurate work .
For visual effects the rays are best detected by a screen made
of powdered willemite, which glows a faint green when bom barded by them. When permanent effects are required this
screen is replaced by a photographic plate. The sensitivity
of the plate to positive rays bears no particular relation to it s
sensitivity to Hglit, and so far the best results have been
obtained from comparatively slow " process " plates of the
type known as " HaK-Tone." The real relative intensities of
rays of different mass cannot be compared by screens or
photographic plates, except in the possible case of isotopes of
the same element ; they can only be determined rehably by
collecting the rays in a Faraday cyhnder and measuring their
total electric charge.


86A,  168,    1912  ;    Aston,  ibid.  87A,  428,  437,    1912.
==18. Sir J. J. Thomson's " Parabola " method of analysis== The method by which Sir J. J. Thomson made
 
such a complete investigation into the properties of positive
2  Aston,  Proc.  Roy.  Soc.  84A,  526,    1911.
rays, and which still remains pre-eminent in respect to the
 
variety of information it suppHes, consists essentially in allowing the rays to pass through a very narrow tube and then
3  Aston,  Proc.  Roy.  Soc.  96A,  200,    1919.
analysing the fine beam so produced by electric and magnetic
*  Ratner,  Phil  Mag.  40,  795,    1920.
 
 
POSITIVE  RAYS  25
 
therefore  be  under  a  continuous  hail  of  positively  charged
particles.  Their  masses  may  be  expected  to  vary  from  that
of  the  Ughtest  atom  to  that  of  the  heaviest  molecule  capable
of  existence  in  the  discharge  tube,  and  their  energies  from  an
indefinitely  small  value  to  a  maximum  expressed  by  the
product  of  the  charge  they  carry  x  the  total  potential  appHed
to  the  electrodes.  The  latter  is  practically  the  same  as  the
fall  of  potential  across  the  dark  space.  If  the  cathode  be
pierced  the  rays  pass  through  the  aperture  and  form  a  stream
heterogeneous  both  in  mass  and  velocity  which  can  be  subjected
to  examination  and  analysis.
 
===17.  Methods  of  detecting  positive  rays===
The  glow
caused  by  the  passage  of  the  rays  through  rarefied  gas  led  to
their  original  discovery  but  is  not  made  use  of  in  accurate  work=
.
For  visual  effects  the  rays  are  best  detected  by  a  screen  made
of  powdered  willemite,  which  glows  a  faint  green  when  bom-
barded by  them.  When  permanent  effects  are  required  this
screen  is  replaced  by  a  photographic  plate.  The  sensitivity
of  the  plate  to  positive  rays  bears  no  particular  relation  to  it=
s
sensitivity  to  Hglit,  and  so  far  the  best  results  have  been
obtained  from  comparatively  slow  "  process  "  plates  of  the
type  known  as  "  HaK-Tone."  The  real  relative  intensities  of
rays  of  different  mass  cannot  be  compared  by  screens  or
photographic  plates,  except  in  the  possible  case  of  isotopes  of
the  same  element ;  they  can  only  be  determined  rehably  by
collecting  the  rays  in  a  Faraday  cyhnder  and  measuring  their
total  electric  charge.
 
===18. Sir J. J. Thomson's " Parabola " method of analysis===
The method by which Sir J. J. Thomson made
such a complete investigation into the properties of positive
rays, and which still remains pre-eminent in respect to the
variety of information it suppHes, consists essentially in allowing the rays to pass through a very narrow tube and then
analysing the fine beam so produced by electric and magnetic
fields.
fields.


The construction of one of the types of apparatus used is
The construction of one of the types of apparatus used is
indicated in Fig. 3. The discharge by which the rays are
indicated in Fig. 3. The discharge by which the rays are
made takes place in a large flask A similar to an ordinary X-ra=
made takes place in a large flask A similar to an ordinary X-ra y
y




Line 204: Line 159:




bulb of about 1| litres capacity. The cathode B is placed
bulb of about 1| litres capacity. The cathode B is placed
in the neck of the bulb. Its face is made of aluminium, and
in the neck of the bulb. Its face is made of aluminium, and
so shaped that it presents to the bulb a hemispherical front
so shaped that it presents to the bulb a hemispherical front
provided in the centre with a funnel-shaped depression. This
provided in the centre with a funnel-shaped depression. This
hole through which the rays pass is continued as an extremely
hole through which the rays pass is continued as an extremely
fine-bore tube, usually of brass, about 7 cms. long, mounted
fine-bore tube, usually of brass, about 7 cms. long, mounted
in a thick iron tube forming the continuation of the cathode as=
in a thick iron tube forming the continuation of the cathode as indicated. The finer the bore of this tube the more accurate
 
are the results obtained, and tubes have been made with success as narrow as one-tenth of a millimetre, but as the intensity
indicated. The finer the bore of this tube the more accurate
of the beam of rays falls off with the inverse fourth power of the diameter a practical Hmit is soon reached.  The cathode
are the results obtained, and tubes have been made with success=
 
as narrow as one-tenth of a millimetre, but as the intensity
of the beam of rays falls off with the inverse fourth power of=


the  diameter  a  practical  Hmit  is  soon  reached.    The  cathode


Fig.  3. Positive Ray Apparatus


Fig.  3.  Positive  Ray  Apparatus


 
is kept cool during the discharge by means of the water-jacket
is kept cool during the discharge by means of the water-jacket
C.
C.


The anode is an aluminium rod D, which is generally placed
The anode is an aluminium rod D, which is generally placed
for convenience in a side tube. In order to ensure a supply
for convenience in a side tube. In order to ensure a supply
of the gas under examination a steady stream is allowed to
of the gas under examination a steady stream is allowed to
leak in through an exceedingly fine glass capillary tube E, and=
leak in through an exceedingly fine glass capillary tube E, and after circulating through the apparatus is pumped off at F by
 
a Gaede rotating mercury pump. By varying the speed of the
after circulating through the apparatus is pumped off at F by
pump and the pressure in the gas-holder communicating with E,
a Gaede rotating mercury pump. By varying the speed of the
the pressure in the discharge tube may be varied at will and
pump and the pressure in the gas-holder communicating with E,
maintained at any desired value for considerable lengths of time. The pressure is usually adjusted so that the discharge potential is 30,000 to 50,000 volts. During the discharge all the condition s
the pressure in the discharge tube may be varied at will and
necessary for the production of positive rays are present in A. Under the influence of the enormous potentials they attain
maintained at any desired value for considerable lengths of time.=
 
The pressure is usually adjusted so that the discharge potential=
 
is 30,000 to 50,000 volts. During the discharge all the condition=
s
necessary for the production of positive rays are present in A.=
 
Under the influence of the enormous potentials they attain
 


POSITIVE  RAYS  27


high  speeds  as  they  fly  towards  the  cathode,  and  those  falling
POSITIVE RAYS 27
axiaUy  pass  right  through  the  fine  tube,  emerging  as  a  narrow-
beam.


This  beam  is  subjected  to  analysis  by  causing  it  to  pass
high speeds as they fly towards the cathode, and those falling
between  the pieces  of  soft  iron  P, P'  which  are  placed  between=
axiaUy pass right through the fine tube, emerging as a narrow beam.


the poles M, M' of a powerful electromagnet, P and P' con-
This beam is subjected to analysis by causing it to pass
stitute the pole pieces of the magnet, but are electrically
between the pieces of soft iron P, P' which are placed between the poles M, M' of a powerful electromagnet, P and P' con stitute the pole pieces of the magnet, but are electrically
insulated from it by thin sheets of mica N, N', and so can be=
insulated from it by thin sheets of mica N, N', and so can be raised to any desired potential difference by means of the
leads shown in the diagram. The rays then enter the highly
exhausted " camera " G, and finally impinge upon the fluores cent screen or photographic plate H. In order that the stray
magnetic field may not interfere with the main discharge in
A, shields of soft iron, I, I' are interposed between the magnet and the bulb.


raised  to  any  desired  potential  difference  by  means  of the
If there is no field between the plates P, P' the beam of rays will strike the screen at a point in fine with the fine tube c alled
leads  shown  in  the diagram. The  rays  then  enter  the highly
the undeflected spot. If an electric field of strength X is
exhausted  "  camera  "  G, and finally  impinge  upon  the fluores-
now appHed between the plates a particle of mass m, charge e,
cent screen  or  photographic  plate  H. In  order  that the stray
moving with velocity v, will be deflected in the plane of the
magnetic field may  not  interfere  with the main  discharge  in
paper and will no longer strike the screen at the undeflected
A, shields  of soft  iron, I,  I'  are interposed  between  the magnet=
spot, but at a distance x from it. Simple dynamics show
that if the angle of deflection is small x =3D kCKe/mv^). In th e
same way, if the electric field is removed and a magnetic field of strength H applied between P and P' the particle will be
deflected at right angles to the plane of the paper and strike the screen at a distance y from the undeflected spot where
y =3D k'eKe/mv), k and k' being constants depending solely on
the dimensions and form of the apparatus used. If now, with
the undeflected spot as origin, we take axes of co-ordinates
OX, OY along the fines of electric and magnetic deflection,
when both fields are applied simultaneously the particle will
strike the screen at the point (x, y) where y/x is a measure o f
its velocity and y^/x is a measure of m/e its ratio of mass to charge.


and  the  bulb.
Now e can only exist as the electronic charge 4-77 x 10"^"
 
C.G.S. or a simple multiple of it. Thus if we have a beam of positive rays of constant mass, but moving with velocities
If  there  is  no  field  between  the  plates  P,  P'  the  beam  of  rays=
varying over a considerable range, y^/x will be constant and
 
will  strike  the  screen  at  a  point  in  fine  with  the  fine  tube  c=
alled
the  undeflected  spot.  If  an  electric  field  of  strength  X  is
now  appHed  between  the  plates  a  particle  of  mass  m,  charge  e,
moving  with  velocity  v,  will  be  deflected  in  the  plane  of  the
paper  and  will  no  longer  strike  the  screen  at  the  undeflected
spot,  but  at  a  distance  x  from  it.  Simple  dynamics  show
that  if  the  angle  of  deflection  is  small  x  =3D  kCKe/mv^).  In  th=
e
same  way,  if  the  electric  field  is  removed  and  a  magnetic  field=
 
of  strength  H  applied  between  P  and  P'  the  particle  will  be
deflected  at  right  angles  to  the  plane  of  the  paper  and  strike=
 
the  screen  at  a  distance  y  from  the  undeflected  spot  where
y  =3D  k'eKe/mv),  k  and  k'  being  constants  depending  solely  on
the  dimensions  and  form  of  the  apparatus  used.  If  now,  with
the  undeflected  spot  as  origin,  we  take  axes  of  co-ordinates
OX,  OY  along  the  fines  of  electric  and  magnetic  deflection,
when  both  fields  are  applied  simultaneously  the  particle  will
strike  the  screen  at  the  point  (x,  y)  where  y/x  is  a  measure  o=
f
its  velocity  and  y^/x  is  a  measure  of  m/e  its  ratio  of  mass  to=
 
charge.
 
Now e can only exist as the electronic charge 4-77 x 10"^"
C.G.S. or a simple multiple of it. Thus if we have a beam of=
 
positive rays of constant mass, but moving with velocities
varying over a considerable range, y^/x will be constant and




Line 313: Line 231:




the locus of their impact with the screen will be a parabola
the locus of their impact with the screen will be a parabola
pp' (Fig. 4). When other rays having a larger mass m' but
pp' (Fig. 4). When other rays having a larger mass m' but
the same charge are introduced into the beam, they will appear
the same charge are introduced into the beam, they will appear
as another parabola qq' having a smaller magnetic displacement.
as another parabola qq' having a smaller magnetic displacement.
If any straight hne p, q, n be drawn parallel to the magnetic=
If any straight hne p, q, n be drawn parallel to the magnetic axis OY cutting the two parabolas and the electric axis OX
in p, q, n it will be seen at once that m' /m =3D pn^/qn'^. T hat
is to say, the masses of two or more particles can be compared directly by merely measuring lengths the ratio of which is
entirely independent of the form of the apparatus and the
experimental conditions.


axis  OY  cutting  the two  parabolas  and  the electric  axis  OX
This is reaUy the fundamental principle upon which the
in  p,  q,  n  it  will  be  seen  at  once  that  m' /m  =3D  pn^/qn'^. T=
method is based.   A photographic record is obtained on which
hat
is to  say,  the  masses  of  two  or  more  particles  can  be  compared=


directly  by  merely  measuring  lengths  the  ratio  of  which  is
we can identify at least one
entirely  independent  of  the  form  of  the  apparatus  and  the
parabola as being associated
experimental  conditions.
with atoms or molecules of
 
known mass ; all the other
This  is  reaUy  the  fundamental  principle  upon  which  the
parabolas can then be measured
method  is  based.    A  photographic  record  is  obtained  on  which
and compared with this one and
 
their masses deduced. With
we can identify at least one
electric and magnetic fields
parabola as being associated
roughly known there is little
with atoms or molecules of
difficulty in such an identification, and to make quite sure
known mass ; all the other
the absolute value of m/e for
parabolas can then be measured
the hydrogen atom was determined and found to agree with the values obtained by
and compared with this one and
other methods. In actual practice, since OX is an imagin ary hne and has no existence on the photograph, in order
their masses deduced. With
that the measurements may be made with greater conveni ence and accuracy the magnetic field is reversed during
electric and magnetic fields
the second half of the exposure, when in the case we ar e
roughly known there is little
considering two new parabolas will appear at rr' , ss' ,  due to
difficulty in such an identification, and to make quite sure
w and m' respectively ; the masses can now be compared by
the absolute value of m/e for
the equation m' /m =3D pr^/qs"^ : p, q, r, s being any straight line cutting the curves approximately parallel to the magnetic
the hydrogen atom was determined and found to agree with the values obtained by
axis. The measurement of these lengths is independent of zero
other methods. In actual practice, since OX is an imagin-
determination, and if the curves are sharp can be carried out
ary hne and has no existence on the photograph, in order
with considerable accuracy.
that the measurements may be made with greater conveni-
ence and accuracy the magnetic field is reversed during
the second half of the exposure, when in the case we ar=
e
considering two new parabolas will appear at rr' , ss' ,  =
due to
w and m' respectively ; the masses can now be compared by
the equation m' /m =3D pr^/qs"^ : p, q, r, s being any straight=
 
line cutting the curves approximately parallel to the magnetic
axis. The measurement of these lengths is independent of zero
determination, and if the curves are sharp can be carried out
with considerable accuracy.




Line 387: Line 294:




Fig. 4. Positive Ray Parabolas.
Fig. 4. Positive Ray Parabolas.




PLATE   I.
PLATE I.




Line 396: Line 303:




The Parabolas of
The Parabolas of
Lithium.
Lithium.




4.  The  Parabolas    of  Neon.
4.  The  Parabolas of Neon.
 
 
POSITIVE  RAYS  29
 
Some  of  the  photographic  results  obtained  by  this  method
of  analysis  are  shown  in  Plate  I.  The  fact  that  the  streaks  are=
 
definite  sharp  parabolas,  and  not  mere  blurs,  was  the  first
experimental  proof  that  the  atoms of the  same  element  had
very  approximately  the  same  mass.
 
It  has  been  shown  that  the  electrical  displacement  is  in
inverse  proportion  to  the  energy  of  the  particle.  Since  this
energy  is  simply  dependent  on  and  proportional  to  the  electrical=
 
potential  through  which  the  charged  particle  fell  before  it
reached  the  cathode  and  not  upon  its  mass,  the  distribution
of  intensity  along  the  parabolas  will  be  somewhat  similar.
There  will  also  be  a  definite  maximum  energy  corresponding
to  the  whole  drop  of  potential  across  the  discharge  tube,  with
a  corresponding  minimum  displacement  on  the  plate  ;  so  that
all  normal  parabolas  will  end  fairly  sharply  at  points  p,  q,
etc.,  equidistant  from  the  magnetic  axis  OY.  As  the  ionisation
is  a  maximum  in  the  negative  glow  the  parabolas  are  brightest
at  or  near  these  points.  The  extension  of  the  curves  in  the
other  direction  indicates  the  formation  of  ions  at  points  in  the=
 
discharge  nearer  the  cathode  which  will  so  have  fallen  through
a  smaller  potential.
 
===19.  Secondary  Rays===
As  the  pressure  in  the  camera,
though  as  low  as  possible,  is  never  entirely  negligible,  the
particles  may  make  collisions,  and  so  gain  and  lose  electrons,
while  passing  through  the  deflecting  fields.  This  results  in
what  Sir  J.  J.  Thomson  calls  "  secondary  rays,"  ^  which  may
be  of  a  great  many  types.  Some  appear  on  the  plate  as
general  fog,  others  as  straight  beams  seeming  to  radiate  from
the  undeflected  spot,  these  will  easily  be  recognised  on  the
photographs  produced  in  Plate  I.  Secondary  rays  can  pro-
duce parabolas  which  are  very  much  like  the  genuine  ones
caused  by  particles  which  have  retained  their  charge  through
both  fields,  and  which  may  easily  be  mistaken  for  them  unless
special  precautions  are  taken.
 
===20.  Negatively  Charged  Rays===
As  there  is  intense
ionisation  in  the  fine  tube  the  charged  particles  may  easily
collide  with  and  capture  electrons  in  passing  through  it.    A
 
^  J.  J.  Thomson,  Fays  of  Positive  Electricity,  p.  32.
 


30  ISOTOPES


singly  charged  particle  capturing  a  single  electron  will,  of
POSITIVE RAYS 29
course,  proceed  as  a  neutral  ray,  and  being  unafiEected  by  the
fields  will  strike  the  screen  at  the  central  spot.  If,  however,=


it  makes  a  second  colhsion  and  capture  it  will  become  a  nega-
Some of the photographic results obtained by this method
tively charged  ray.  Rays  of this kind  will  suffer  deflection
of analysis are shown in Plate I. The fact that the streaks are definite sharp parabolas, and not mere blurs, was the first
in both  fields  in  the  opposite  direction  to  the normal  ones, and=
experimental proof that the atoms of the same element had
very approximately the same mass.


will therefore  give  rise  to parabolas  of a similar  nature  but  si=
It has been shown that the electrical displacement is in
tua-
inverse proportion to the energy of the particle. Since this
ated  in  the opposite  quadrants,  as  indicated  by  the dotted
energy is simply dependent on and proportional to the electrical potential through which the charged particle fell before it
Hnes  in the figure.  Such  negative parabolas are always  less
reached the cathode and not upon its mass, the distribution
intense  than  the corresponding  normal  ones,  and  are  usually
of intensity along the parabolas will be somewhat similar.
associated  with  the atoms  of electronegative  elements  such  as
There will also be a definite maximum energy corresponding
carbon,  oxygen,  chlorine,  etc.
to the whole drop of potential across the discharge tube, with
a corresponding minimum displacement on the plate ; so that
all normal parabolas will end fairly sharply at points p, q,
etc., equidistant from the magnetic axis OY. As the ionisation
is a maximum in the negative glow the parabolas are brightest
at or near these points. The extension of the curves in the
other direction indicates the formation of ions at points in the discharge nearer the cathode which will so have fallen through
a smaller potential.


The  negative  parabolas  of H, C  and  0  can  be seen  in  the
==19. Secondary Rays== As the pressure in the camera,
photographs.    Plate I (1)  and (2).
though as low as possible, is never entirely negligible, the
particles may make collisions, and so gain and lose electrons,
while passing through the deflecting fields. This results in
what Sir J. J. Thomson calls " secondary rays," ^ which may
be of a great many types. Some appear on the plate as
general fog, others as straight beams seeming to radiate from
the undeflected spot, these will easily be recognised on the
photographs produced in Plate I. Secondary rays can pro duce parabolas which are very much like the genuine ones
caused by particles which have retained their charge through
both fields, and which may easily be mistaken for them unless
special precautions are taken.


===21. Rays with  Multiple  Charges===
==20. Negatively Charged Rays== As there is intense
If  during  ionisation
ionisation in the fine tube the charged particles may easily
more  than  one  electron  is split  off,  the resulting  positive  ray
collide with and capture electrons in passing through it.   A
will  have  a  double  or  multiple  charge.  Taking  the case  of  a
doubly  charged  particle  it may  give  rise  to  two  distinct  effects.=


In  the  first  place, if  it  retains  its  double  charge  while  passin=
^ J. J. Thomson, Fays of Positive Electricity, p. 32.
g
through  the  analysing  fields  its  behaviour  will  be  quite  indis-
tinguishable from  that  of a  normal  ray  of  haff  its  mass. Thus
the  effective  mass  of  the  doubly  charged  oxygen  atom,  written^
0:^^,  will  be  8. Parabolas  due  to  C^+  and  0  +  ^  can  be  seen=


in  Plate  I  (2).  In  the  second  place,  the  particle  may  retain
its  double  charge  through  the  whole  potential  fall  of  the  dis-
charge but  capture  an  electron  in  the  fine  tube.  It  will  then
constitute  a  ray  of  normal  ratio  of  mass  to  charge  but  with
double  the  normal  energy,  so  that  the  normal  end  of  the
parabolas  will  be  extended  towards  the  axis  OY  to  a  point  half-=


way between  that  axis  and  the  hue  'pq.  Such  extensions  will
30 ISOTOPES
be  seen  on  the  bright  parabolas  due  to  carbon  and  oxygen  in  the=


photographs  reproduced  in Plate  I.
singly charged particle capturing a single electron will, of
course, proceed as a neutral ray, and being unafiEected by the
fields will strike the screen at the central spot. If, however, it makes a second colhsion and capture it will become a nega tively charged ray. Rays of this kind will suffer deflection
in both fields in the opposite direction to the normal ones, and will therefore give rise to parabolas of a similar nature but si tua ated in the opposite quadrants, as indicated by the dotted
Hnes in the figure. Such negative parabolas are always less
intense than the corresponding normal ones, and are usually
associated with the atoms of electronegative elements such as
carbon, oxygen, chlorine, etc.


Most  elements  are  capable  of losing  two  electrons,  some,
The negative parabolas of H, C and 0 can be seen in the
such  as  krypton,  three  or  more,  while  mercury  can  lose  no  less=
photographs.  Plate I (1) and (2).


than eight  at  a time. The  results  of the multiple  charge on
==21. Rays with Multiple Charges== If during ionisation
atoms  of mercury  is  beautifully  illustrated  in Plate I (3).
more than one electron is split off, the resulting positive ray
The  parabola  a corresponding  to normal single  charge  wiU
will have a double or multiple charge. Taking the case of a
doubly charged particle it may give rise to two distinct effects. In the first place, if it retains its double charge while passin g
through the analysing fields its behaviour will be quite indis tinguishable from that of a normal ray of haff its mass. Thus
the effective mass of the doubly charged oxygen atom, written^
0:^^, will be 8. Parabolas due to C^+ and 0 + ^ can be seen in Plate I (2). In the second place, the particle may retain
its double charge through the whole potential fall of the dis charge but capture an electron in the fine tube. It will then
constitute a ray of normal ratio of mass to charge but with
double the normal energy, so that the normal end of the
parabolas will be extended towards the axis OY to a point half- way between that axis and the hue 'pq. Such extensions will
be seen on the bright parabolas due to carbon and oxygen in the photographs reproduced in Plate I.


^  In  the normal singly-charged  ray  the  plus  sign  is  omitted  for=
Most elements are capable of losing two electrons, some,
such as krypton, three or more, while mercury can lose no less than eight at a time. The results of the multiple charge on
atoms of mercury is beautifully illustrated in Plate I (3).
The parabola a corresponding to normal single charge wiU


convenience.
^ In the normal singly-charged ray the plus sign is omitted for convenience.




POSITIVE   RAYS
POSITIVE RAYS




Line 518: Line 393:




be seen extended almost to the origin itself, while above a seri=
be seen extended almost to the origin itself, while above a seri es
es
of parabolas of diminishing intensity ^, y, etc., indicate the
of parabolas of diminishing intensity ^, y, etc., indicate the
atoms which have retained two, three or more charges.
atoms which have retained two, three or more charges.
 
===22.  Dempster's  method  of  positive    ray  analysis===
 
It  is  clear  from  the  considerations  on  page  27  that  if  the  positive particles  all  fell  through  the  same  potential  and  so  possesse=
d
the  same  energy,  a  magnetic  field  alone  would  suffice  to  perform=
 
their  analysis  with  regard  to  mass.  A  method  of  analysis
based  on  this  idea  has  been  devised  by  Dempster  at  the  Ryer-
son  Physical  Laboratory,  Chicago.^
 
The  method  is  essentially  identical  with  that  used  by  Classen
in  his  determination  of  e/m  for  electrons  ^    The  charged  par-
 
 
H!i!!i|l-
 


FiG. 5.  Dempster's  Apparatus.
==22. Dempster's  method  of positive  ray  analysis== It is clear from the considerations on page 27 that if the positive particles all fell through the same potential and so possesse d
the same energy, a magnetic field alone would suffice to perform their analysis with regard to mass. A method of analysis
based on this idea has been devised by Dempster at the Ryer son Physical Laboratory, Chicago.^


tides from  some  source  fall  through  a  definite  potential  differ-=
The method is essentially identical with that used by Classen
in his determination of e/m for electrons ^ The charged par


ence. A  narrow  bundle  is  separated  out  by  a  sUt  and  is  bent
H!i!!i|l
into  a  semicircle  by  a  strong  magnetic  field  ;  the  rays  then
pass  through  a  second  sHt  and  fall  on  a  plate  connected  to  an=


electrometer. The  potential  difference  P,  magnetic  field  H,
FiG. 5. Dempster's Apparatus.
and  radius  of  curvature  r  determine  the  ratio  of  the  charge  to=


 
tides from some source fall through a definite potential differ- ence. A narrow bundle is separated out by a sUt and is bent
e       2P.
into a semicircle by a strong magnetic field ; the rays then
the mass of the particle by the formula
pass through a second sHt and fall on a plate connected to an electrometer. The potential difference P, magnetic field H,
and radius of curvature r determine the ratio of the charge to
e   2P.
the mass of the particle by the formula




Line 562: Line 422:




1 Dempster, Phys. Rev. 11, 3 1 6 ,     1918.
1 Dempster, Phys. Rev. 11, 3 1 6 ,   1918.


Classen, Jahrb. d.  Hamburg  Wiss. AnsL, Beiheft, 1907.
Classen, Jahrb. d. Hamburg Wiss. AnsL, Beiheft, 1907.




32 ISOTOPES
32 ISOTOPES


The apparatus consisted of a glass tube G, Fig. 5, where the
The apparatus consisted of a glass tube G, Fig. 5, where the
positive particles fell through a definite potential difference,
positive particles fell through a definite potential difference,
and the analysing chamber A, in which a strong magnetic field
and the analysing chamber A, in which a strong magnetic field
was produced between two semicircular iron plates 2-8 cm.
was produced between two semicircular iron plates 2-8 cm.
thick and 13 cm. in diameter. The iron plates were soldered
thick and 13 cm. in diameter. The iron plates were soldered
into half of a heavy brass tube B, so as to leave a passage o=
into half of a heavy brass tube B, so as to leave a passage o r
r
slot 4 mm. wide between the plates. A brass plate C closed
slot 4 mm. wide between the plates. A brass plate C closed
this slot except for three openings into which short brass tubes were soldered. The glass tube G fitted into the first opening an d
this slot except for three openings into which short brass tubes=
a tube for exhausting into the second. The electrometer
connection passed to a receiving plate through an ebonite plug
E which formed a ground conical joint with the third brass
tube. The two openings for the rays had adjustable sHts S i, S  2,
and a screen D was introduced into the analysing chamber to
prevent reflected rays getting into the second sUt. The whole
was placed between the poles of a powerful electromagnet.


were  soldered.  The  glass  tube  G  fitted  into  the  first  opening  an=
The accelerating potential P was applied by means of a large
d
battery and was from 500 to 1750 volts or thereabouts. The
a  tube  for  exhausting  into  the  second.  The  electrometer
experimental procedure consisted in maintaining a constant
connection  passed  to  a  receiving  plate  through  an  ebonite  plug
magnetic field and plotting the ionic current, measured by the
E  which  formed  a  ground  conical  joint  with  the  third  brass
electrometer, against the potential. The peaks on the curve
tube.  The two  openings  for  the  rays  had  adjustable  sHts  S  i,  S =
corresponded to definite values of m/e, measured by the poten tial, and their heights to the relative quantities of the particle s
2,
present in the beam.
and  a  screen  D  was  introduced  into  the  analysing  chamber  to
prevent  reflected  rays  getting  into  the  second  sUt.  The  whole
was  placed  between  the  poles  of  a  powerful  electromagnet.
 
The  accelerating potential P was applied by means of a large
battery and was from 500 to 1750 volts or thereabouts. The
experimental procedure consisted in maintaining a constant
magnetic field and plotting the ionic current, measured by the
electrometer, against the potential. The peaks on the curve
corresponded to definite values of m/e, measured by the poten-
tial, and their heights to the relative quantities of the particle=
s
present in the beam.


The method is limited in its appHcation by the fact that the
The method is limited in its appHcation by the fact that the
ions must be generated with a velocity neghgible compared
ions must be generated with a velocity neghgible compared
with that produced by the accelerating potential. The first
with that produced by the accelerating potential. The first
results were obtained from ions produced by heating salts on
results were obtained from ions produced by heating salts on
platinum strips, or by bombarding them with electrons. It
platinum strips, or by bombarding them with electrons. It
was shown that the ions given off from heated aluminium
was shown that the ions given off from heated aluminium
phosphate consisted for the most part of sodium and potassium
phosphate consisted for the most part of sodium and potassium
atoms, and that these had masses 23 and 39 respectively. The
atoms, and that these had masses 23 and 39 respectively. The
resolution possible with the first apparatus was claimed to
resolution possible with the first apparatus was claimed to
be about 1 in 100. Dempster's recent successful application
be about 1 in 100. Dempster's recent successful application
of this method to the analysis of magnesium and hthium will
of this method to the analysis of magnesium and hthium will
be described in a later chapter. ^
be described in a later chapter. ^


1 V. p. 80.
1 V. p. 80.

Revision as of 08:16, 6 July 2025

==CHAPTER III - POSITIVE RAYS= ==14. Nature of Positive Rays== Positive rays were dis covered by Goldstein in 1886 in electrical discharge at low pressure. In some experiments with a perforated cathode he noticed streamers of Hght behind the perforations. This luminosity, he assumed, was due to rays of some sort which travelled in the opposite direction to the cathode rays and so passed through the apertures in the cathode, these he called " canalstrahlen." ^ Subsequently Wien showed that they could be deflected by a magnetic field.^ They have been very fully investigated in this country by Sir J, J. Thomson,^ who called them Positive Rays on account of the fact that they normally carry a charge of positive electricity.

The conditions for the development of the rays are, briefly, ionisation at low pressure in a strong electric field. lonisation, which may be due to coUisions or radiation, means in its simplest case the detachment of one electron from a neutral atom. The two resulting fragments carry charges of electricity of equal quantity but of opposite sign. The negatively charged one is the electron, the atomic unit of negative electricity itself,* and is the same whatever the atom ionised. It is extremely light and therefore in the strong electric field rapidly attains a high velocity and becomes a cathode ray. The remain ing fragment is clearly dependent on the nature of the atom ionised. It is immensely more massive than the electron, for

1 Goldstein, Berl. Ber., 39, 691, 1886. =3D=C2=BBWien, Verh. d. Phys. Gesell, 17, 1898.

^ J. J. Thomson, Rays of Positive Electricity arid their Applicat ion to Chemical Analyses, Longmans, Green, 1913.

  • R. A. Millikan, The Electron, University Chicago Press, 1918.

22


POSITIVE RAYS 23

the mass of the Hghtest atom, that of hydrogen, is about 1845 times that of the electron, and so will attain a much lower velocity under the action of the electric field. However, if the field is strong and the pressure so low that it does not colhde with other atoms too frequently it will ultimately attain a high speed in a direction opposite to that of the detached electron, and become a "positive ray." The simplest form of positive ray is therefore an atom of matter carrying a positive charge and endowed, as a result of faUing through a high potential, with sufficient energy to make its presence detectable. Positive rays can be formed from molecules as well as atoms, so that it will at once be seen that any measur e ment of their mass wiU give us direct information as to the masses of atoms of elements and molecules of compounds, and that this information will refer to the atoms or molecules individually, not, as in chemistry, to the mean of an immense aggregate. It is on this account that the accurate analysis of positive rays is of such importance.

In order to investigate and analyse them it is necessary to obtain intense beams of the rays. This can be done in several ways. The one most generally available is by the use of the discharge in gases at low pressure.

==15. Mechanism of the electric discharge in gases at low pressure== It is a somewhat striking anomaly that whil e the working of the very recently invented " Coohdge " X ray bulb can be simply described and explained, this is far from being the case with the much older ordinary " gas " tube. Notwithstanding the immense amount of research work done on the discharge at low pressure its most obvious phenomena are weU nigh entirely lacking explanation. Modern measure ments and other data have merely destroyed the older theories, without, as yet, giving others to replace them.

For the purposes of describing positive rays it is not necessary to consider such puzzles as the " striated discharge " or other phenomena connected with the anode end of the tube, but some ideas as to what is going on near the cathode will be a considerable help in our interpretation of the results of positive ray analysis, and vice versa.


24 ISOTOPES

==16. The Crookes Dark Space== The comparatively dimly lit space in front of the cathode, terminating at the bright " negative glow " was first observed by Crookes. Its length is roughly inversely proportional to the pressure of the gas in the tube. Its boundary the edge of the negative glow is remarkably sharp in most gases, quite amazingly so in pure oxygen. If large plane cathodes are used so that the effect of the glass walls up to now a complete mystery is minimised very accurate and consistent measurements can be obtained. Such measurements have been made under a great variety of conditions by the writer. ^ The distribution of electric force in the dark space has also been determined for large plane electrodes ^ but no theory yet put forward can account for the numerical relations obtained in these investigations, nor for others obtained later with perforated electrodes.^

One can, however, be fairly certain that ionisation is going on at aU points throughout the dark space, and that it reaches a very high intensity in the negative glow. This ionisation is probably caused for the most part by electrons hberated from the surface of the cathode (Cathode Rays). These, when they reach a speed sufficient to ionise by colhsion, fiber- ate more free electrons which, in their turn, become ionising agents, so that the intensity of ionisation from this cause wiU tend to increase as we move away from the cathode. The fiberation of the original electrons from the surface of the cathode is generally regarded as due to the impact of positive ions (Positive Rays) generated in the negative glow and the dark space, but this idea, for which there is a fair amount of definite evidence, is now called in question by some recent experiments of Ratner.*

In addition to cathode ray ionisation the positive rays travelling towards the cathode themselves are capable of ionising the gas, and radiation may also play an important part in the same process. The surface of the cathode will

1 Aston, Proc. Roy. Soc. 79A, 80, 1907; Aston and Watson, ibid. 86A, 168, 1912 ; Aston, ibid. 87A, 428, 437, 1912.

2 Aston, Proc. Roy. Soc. 84A, 526, 1911.

3 Aston, Proc. Roy. Soc. 96A, 200, 1919.

  • Ratner, Phil Mag. 40, 795, 1920.


POSITIVE RAYS 25

therefore be under a continuous hail of positively charged particles. Their masses may be expected to vary from that of the Ughtest atom to that of the heaviest molecule capable of existence in the discharge tube, and their energies from an indefinitely small value to a maximum expressed by the product of the charge they carry x the total potential appHed to the electrodes. The latter is practically the same as the fall of potential across the dark space. If the cathode be pierced the rays pass through the aperture and form a stream heterogeneous both in mass and velocity which can be subjected to examination and analysis.

==17. Methods of detecting positive rays== The glow caused by the passage of the rays through rarefied gas led to their original discovery but is not made use of in accurate work . For visual effects the rays are best detected by a screen made of powdered willemite, which glows a faint green when bom barded by them. When permanent effects are required this screen is replaced by a photographic plate. The sensitivity of the plate to positive rays bears no particular relation to it s sensitivity to Hglit, and so far the best results have been obtained from comparatively slow " process " plates of the type known as " HaK-Tone." The real relative intensities of rays of different mass cannot be compared by screens or photographic plates, except in the possible case of isotopes of the same element ; they can only be determined rehably by collecting the rays in a Faraday cyhnder and measuring their total electric charge.

==18. Sir J. J. Thomson's " Parabola " method of analysis== The method by which Sir J. J. Thomson made such a complete investigation into the properties of positive rays, and which still remains pre-eminent in respect to the variety of information it suppHes, consists essentially in allowing the rays to pass through a very narrow tube and then analysing the fine beam so produced by electric and magnetic fields.

The construction of one of the types of apparatus used is indicated in Fig. 3. The discharge by which the rays are made takes place in a large flask A similar to an ordinary X-ra y


26


ISOTOPES


bulb of about 1| litres capacity. The cathode B is placed in the neck of the bulb. Its face is made of aluminium, and so shaped that it presents to the bulb a hemispherical front provided in the centre with a funnel-shaped depression. This hole through which the rays pass is continued as an extremely fine-bore tube, usually of brass, about 7 cms. long, mounted in a thick iron tube forming the continuation of the cathode as indicated. The finer the bore of this tube the more accurate are the results obtained, and tubes have been made with success as narrow as one-tenth of a millimetre, but as the intensity of the beam of rays falls off with the inverse fourth power of the diameter a practical Hmit is soon reached. The cathode


Fig. 3. Positive Ray Apparatus


is kept cool during the discharge by means of the water-jacket C.

The anode is an aluminium rod D, which is generally placed for convenience in a side tube. In order to ensure a supply of the gas under examination a steady stream is allowed to leak in through an exceedingly fine glass capillary tube E, and after circulating through the apparatus is pumped off at F by a Gaede rotating mercury pump. By varying the speed of the pump and the pressure in the gas-holder communicating with E, the pressure in the discharge tube may be varied at will and maintained at any desired value for considerable lengths of time. The pressure is usually adjusted so that the discharge potential is 30,000 to 50,000 volts. During the discharge all the condition s necessary for the production of positive rays are present in A. Under the influence of the enormous potentials they attain


POSITIVE RAYS 27

high speeds as they fly towards the cathode, and those falling axiaUy pass right through the fine tube, emerging as a narrow beam.

This beam is subjected to analysis by causing it to pass between the pieces of soft iron P, P' which are placed between the poles M, M' of a powerful electromagnet, P and P' con stitute the pole pieces of the magnet, but are electrically insulated from it by thin sheets of mica N, N', and so can be raised to any desired potential difference by means of the leads shown in the diagram. The rays then enter the highly exhausted " camera " G, and finally impinge upon the fluores cent screen or photographic plate H. In order that the stray magnetic field may not interfere with the main discharge in A, shields of soft iron, I, I' are interposed between the magnet and the bulb.

If there is no field between the plates P, P' the beam of rays will strike the screen at a point in fine with the fine tube c alled the undeflected spot. If an electric field of strength X is now appHed between the plates a particle of mass m, charge e, moving with velocity v, will be deflected in the plane of the paper and will no longer strike the screen at the undeflected spot, but at a distance x from it. Simple dynamics show that if the angle of deflection is small x =3D kCKe/mv^). In th e same way, if the electric field is removed and a magnetic field of strength H applied between P and P' the particle will be deflected at right angles to the plane of the paper and strike the screen at a distance y from the undeflected spot where y =3D k'eKe/mv), k and k' being constants depending solely on the dimensions and form of the apparatus used. If now, with the undeflected spot as origin, we take axes of co-ordinates OX, OY along the fines of electric and magnetic deflection, when both fields are applied simultaneously the particle will strike the screen at the point (x, y) where y/x is a measure o f its velocity and y^/x is a measure of m/e its ratio of mass to charge.

Now e can only exist as the electronic charge 4-77 x 10"^" C.G.S. or a simple multiple of it. Thus if we have a beam of positive rays of constant mass, but moving with velocities varying over a considerable range, y^/x will be constant and


28


ISOTOPES


Y


the locus of their impact with the screen will be a parabola pp' (Fig. 4). When other rays having a larger mass m' but the same charge are introduced into the beam, they will appear as another parabola qq' having a smaller magnetic displacement. If any straight hne p, q, n be drawn parallel to the magnetic axis OY cutting the two parabolas and the electric axis OX in p, q, n it will be seen at once that m' /m =3D pn^/qn'^. T hat is to say, the masses of two or more particles can be compared directly by merely measuring lengths the ratio of which is entirely independent of the form of the apparatus and the experimental conditions.

This is reaUy the fundamental principle upon which the method is based. A photographic record is obtained on which

we can identify at least one parabola as being associated with atoms or molecules of known mass ; all the other parabolas can then be measured and compared with this one and their masses deduced. With electric and magnetic fields roughly known there is little difficulty in such an identification, and to make quite sure the absolute value of m/e for the hydrogen atom was determined and found to agree with the values obtained by other methods. In actual practice, since OX is an imagin ary hne and has no existence on the photograph, in order that the measurements may be made with greater conveni ence and accuracy the magnetic field is reversed during the second half of the exposure, when in the case we ar e considering two new parabolas will appear at rr' , ss' , due to w and m' respectively ; the masses can now be compared by the equation m' /m =3D pr^/qs"^ : p, q, r, s being any straight line cutting the curves approximately parallel to the magnetic axis. The measurement of these lengths is independent of zero determination, and if the curves are sharp can be carried out with considerable accuracy.


^V'

    • --.,

V

/\^<J'

"**

0

^

s

y

^v^

r

^^r'

X


Fig. 4. Positive Ray Parabolas.


PLATE I.


C++


The Parabolas of Lithium.


4. The Parabolas of Neon.


POSITIVE RAYS 29

Some of the photographic results obtained by this method of analysis are shown in Plate I. The fact that the streaks are definite sharp parabolas, and not mere blurs, was the first experimental proof that the atoms of the same element had very approximately the same mass.

It has been shown that the electrical displacement is in inverse proportion to the energy of the particle. Since this energy is simply dependent on and proportional to the electrical potential through which the charged particle fell before it reached the cathode and not upon its mass, the distribution of intensity along the parabolas will be somewhat similar. There will also be a definite maximum energy corresponding to the whole drop of potential across the discharge tube, with a corresponding minimum displacement on the plate ; so that all normal parabolas will end fairly sharply at points p, q, etc., equidistant from the magnetic axis OY. As the ionisation is a maximum in the negative glow the parabolas are brightest at or near these points. The extension of the curves in the other direction indicates the formation of ions at points in the discharge nearer the cathode which will so have fallen through a smaller potential.

==19. Secondary Rays== As the pressure in the camera, though as low as possible, is never entirely negligible, the particles may make collisions, and so gain and lose electrons, while passing through the deflecting fields. This results in what Sir J. J. Thomson calls " secondary rays," ^ which may be of a great many types. Some appear on the plate as general fog, others as straight beams seeming to radiate from the undeflected spot, these will easily be recognised on the photographs produced in Plate I. Secondary rays can pro duce parabolas which are very much like the genuine ones caused by particles which have retained their charge through both fields, and which may easily be mistaken for them unless special precautions are taken.

==20. Negatively Charged Rays== As there is intense ionisation in the fine tube the charged particles may easily collide with and capture electrons in passing through it. A

^ J. J. Thomson, Fays of Positive Electricity, p. 32.


30 ISOTOPES

singly charged particle capturing a single electron will, of course, proceed as a neutral ray, and being unafiEected by the fields will strike the screen at the central spot. If, however, it makes a second colhsion and capture it will become a nega tively charged ray. Rays of this kind will suffer deflection in both fields in the opposite direction to the normal ones, and will therefore give rise to parabolas of a similar nature but si tua ated in the opposite quadrants, as indicated by the dotted Hnes in the figure. Such negative parabolas are always less intense than the corresponding normal ones, and are usually associated with the atoms of electronegative elements such as carbon, oxygen, chlorine, etc.

The negative parabolas of H, C and 0 can be seen in the photographs. Plate I (1) and (2).

==21. Rays with Multiple Charges== If during ionisation more than one electron is split off, the resulting positive ray will have a double or multiple charge. Taking the case of a doubly charged particle it may give rise to two distinct effects. In the first place, if it retains its double charge while passin g through the analysing fields its behaviour will be quite indis tinguishable from that of a normal ray of haff its mass. Thus the effective mass of the doubly charged oxygen atom, written^ 0:^^, will be 8. Parabolas due to C^+ and 0 + ^ can be seen in Plate I (2). In the second place, the particle may retain its double charge through the whole potential fall of the dis charge but capture an electron in the fine tube. It will then constitute a ray of normal ratio of mass to charge but with double the normal energy, so that the normal end of the parabolas will be extended towards the axis OY to a point half- way between that axis and the hue 'pq. Such extensions will be seen on the bright parabolas due to carbon and oxygen in the photographs reproduced in Plate I.

Most elements are capable of losing two electrons, some, such as krypton, three or more, while mercury can lose no less than eight at a time. The results of the multiple charge on atoms of mercury is beautifully illustrated in Plate I (3). The parabola a corresponding to normal single charge wiU

^ In the normal singly-charged ray the plus sign is omitted for convenience.


POSITIVE RAYS


31


be seen extended almost to the origin itself, while above a seri es of parabolas of diminishing intensity ^, y, etc., indicate the atoms which have retained two, three or more charges.

==22. Dempster's method of positive ray analysis== It is clear from the considerations on page 27 that if the positive particles all fell through the same potential and so possesse d the same energy, a magnetic field alone would suffice to perform their analysis with regard to mass. A method of analysis based on this idea has been devised by Dempster at the Ryer son Physical Laboratory, Chicago.^

The method is essentially identical with that used by Classen in his determination of e/m for electrons ^ The charged par

H!i!!i|l

FiG. 5. Dempster's Apparatus.

tides from some source fall through a definite potential differ- ence. A narrow bundle is separated out by a sUt and is bent into a semicircle by a strong magnetic field ; the rays then pass through a second sHt and fall on a plate connected to an electrometer. The potential difference P, magnetic field H, and radius of curvature r determine the ratio of the charge to e 2P. the mass of the particle by the formula


m


HV2


1 Dempster, Phys. Rev. 11, 3 1 6 , 1918.

Classen, Jahrb. d. Hamburg Wiss. AnsL, Beiheft, 1907.


32 ISOTOPES

The apparatus consisted of a glass tube G, Fig. 5, where the positive particles fell through a definite potential difference, and the analysing chamber A, in which a strong magnetic field was produced between two semicircular iron plates 2-8 cm. thick and 13 cm. in diameter. The iron plates were soldered into half of a heavy brass tube B, so as to leave a passage o r slot 4 mm. wide between the plates. A brass plate C closed this slot except for three openings into which short brass tubes were soldered. The glass tube G fitted into the first opening an d a tube for exhausting into the second. The electrometer connection passed to a receiving plate through an ebonite plug E which formed a ground conical joint with the third brass tube. The two openings for the rays had adjustable sHts S i, S 2, and a screen D was introduced into the analysing chamber to prevent reflected rays getting into the second sUt. The whole was placed between the poles of a powerful electromagnet.

The accelerating potential P was applied by means of a large battery and was from 500 to 1750 volts or thereabouts. The experimental procedure consisted in maintaining a constant magnetic field and plotting the ionic current, measured by the electrometer, against the potential. The peaks on the curve corresponded to definite values of m/e, measured by the poten tial, and their heights to the relative quantities of the particle s present in the beam.

The method is limited in its appHcation by the fact that the ions must be generated with a velocity neghgible compared with that produced by the accelerating potential. The first results were obtained from ions produced by heating salts on platinum strips, or by bombarding them with electrons. It was shown that the ions given off from heated aluminium phosphate consisted for the most part of sodium and potassium atoms, and that these had masses 23 and 39 respectively. The resolution possible with the first apparatus was claimed to be about 1 in 100. Dempster's recent successful application of this method to the analysis of magnesium and hthium will be described in a later chapter. ^

1 V. p. 80.