AN ABSTRACT OF THE THESIS OF

KENNETH EARL WEAVER for theMaster of Science (Name of Student) (Degree) in General Science (Radiological Physics) presented on August 19, 1968 (Major) (Date) Title: THE DESIGN AND CONSTRUCTION OF AN

CHAMBER TO MEASURE Redacted for privacy Abstract approved: John P. Kelley

An was constructed, using a fiberglass wall sphere, for the purpose of measuring background radiation.The system consists of the fiberglass wall chamber, 38.85 liters in volume, air filled, not sealed, used in conjunction with a precision capacitor, nulling voltage supply and .It was calibrated against a Shonka, 16.5 liter, muscle-equivalent, sealed ionization chamber in conjunction with a Shonka electrometer. Measurements made over a period extending from July 22 to July 29, 1968 in a second floor laboratory (X-ray Science and Engi- neering Laboratory, Oregon State University) with the fiberglass chamber yielded a mean dose rate of 7.96± 0.21 p. rads/hr.Meas- urements made over the same period with the Shonka system yielded a mean dose rate of 7.73 0.07 y, rads/hr. The Shonka system was also used to measure background radiation as a function of time from December 14, 1967 to June 10, 1968.The mean value obtained over this period was 7.73 ± 0.10 11 rads/hr. The Design and Construction of an Ionization Chamber to Measure Background Radiation

by Kenneth Earl Weaver

A THESIS submitted to Oregon State University

in partial fulfillment of the requirements for the degree of Master of Science

June 1969 APPROVED: Redacted for privacy Associate Professor of Electrical Engin4ring in charge of major

Redacted for privacy -Chairman of the Dp-partment of Gene/''al ScienyCe

Redacted for privacy

Dean of Graduate School

Date thesis is presented August 19, 1968 Typed by Carolyn Irving for Kenneth Earl Weaver ACKNOWLEDGMENT

The author wishes to express hissincere appreciation to Mr. John P. Kelley for his helpful guidanceduring this study. Thanks are expressed to Dr. E.D. Trout for his proposal of this study, his helpful recommendations,and for the use of his Shonka chamber and electrometer. Special acknowledgments are givento my wife, Lynore, and to our children, Kimberlyand Lisa, for their patience, supportand sacrifice, willingly offered whichmade it possible for me to com- plete this study. TABLE OF CONTENTS

I. INTRODUCTION 1

Purpose of Study 1 The and the 2 History of Background Radiation 3 Sources of Natural Radiation 24 Cosmic Rays 24 Terrestrial Radiation Sources 28 Recent Background Measurements 30

'U. INSTRUMENTATION 35 The Ionization Chamber 35 Cavity Theory 37 Calibration Techniques 38 Relationship Between Exposure and Dose 40 Saturation 41 Spurious Ionization 44 Temperature and Pressure Corrections 45 Fiberglass Chamber-Victoreen Electrom- eter System 46 General Design 46 Construction 47 Leakage Determination 52 Calibration 52 Shonka Chamber and Electrometer System 56

III. EXPERIMENTAL PROCEDURE 62 Shonka Chamber and Electrometer System 62 Fiberglass Chamber- Victoreen Electrom- eter System 63

IV, EXPERIMENTAL RESULTS 65

V. DISCUSSION 70

BIBLIOGRAPHY 75 LIST OF FIGURES

Figure Page

1 Gold-leaf electroscope. 4

2 Wulf electroscope 7

3 Electroscope constructed by Millikan and Bowen to measure cosmic rays. 10

4 Intensity of cosmic rays as a function of atmospheric depth. 12

5 intensity of cosmic rays as a function of depth underwater, 13

6 Wilson cloud chamber. 16

7 Point counter. 17

8 Geiger-Mnler counter 18

9 Progeny of a cosmic ray particle 23

10 Integral energy spectrum of primary cosmic ray protons. 26

11 Verticle flux densities of the main components of cosmic radiation a function of atmospheric depth. 27

12 Variation in natural doses of radiation. 34

13 Typical saturation curve. 43

14 Schematic of fiberglass chamber-Victoreen electrometer system. 48

15 Photograph of fiberglass chamber- Victoreen electrometer system. 49 Figure Page

16 Saturation curve for fiberglass chamber. 51

17 Schematic of central electrode assembly. 53

18 Photograph of central electrode assembly. 54

19 Schematic of Shonka chamber and electrometer system. 57

20 Photograph of Shonka chamber and electrometer system. 58

21 Shonka electrometer fiber image. 61

22 Dose rate measurements as a function of time with Shonka chamber. 66

23 Dose rate measurements with fiberglass chamber. 69

24 Sensitivity versus dose rate for the fiber- glass chamber. 73 LIST OF TABLES Table Page

1 Dose in an arbitrary medium for various combinations of wall and cavity thicknesses 38 THE DESIGN AND CONSTRUCTION OF AN IONIZATION CHAMBER TO MEASURE BACKGROUND RADIATION

I.INTRODUCTION

Purpose of Study

Man, as well as all other living organisms, is constantlyex- posed to small amounts of radiation from naturalsources.This is inescapable.From his prehistoric beginnings, through geological periods of time, he has been irradiated.For example, included in this category are cosmic rays, body burdens of carbon-14 and potas- sium-40, and the gamma radiation from earth, rock, and the struc- tural materials of our buildings. From time immemorial these have been part of the natural environment and presumably they shallcon- tinue to be so.As such, man's interest in natural sources of radia- tion is more than one of just casual curiosity.For example, a few of the areas where a knowledge of this radiation (both quantitative and qualitative) is important are:(1) in the studies of its biological effects on man, (2) where extremely low levels of are being measured and the contribution from natural sources is significant, and (3) its effect on film emulsions which are stored for relatively long periods of time. The purpose of this study was essentially twofold in nature: First, to construct a sufficiently sensitive ionization type instrument 2 capable of detecting background radiation, and secondly, to make measurements of this radiation.

The Roentgen and the Rad

In measurements dealing with ionizing radiation fields, the results are usually expressed in terms of pairsper cubic centi- meter, or more commonly in units of exposure or dose. Exposure refers specifically to radiation fields composed of x- or gamma-radiation only.The special unit of exposure is the roentgen.The International Commission on Radiological Units and Measurements (ICRU) in 1962 defined exposure (X) as the quotient of L(:) by Lrn,

X = LQ/Lm where LQ is the sum of the electrical chargeson all the of one sign produced in air when all the electrons (negatrons and positrons), liberated by photons in a volume element of air whose mass is Am, are completely stopped in air (L indicates that any necessary limiting and averaging procedures have been carried out).The special unit for exposure, the roentgen (R), is equal to 2.58 x 10-4 coulombs per kilogram of air.This is not just an arbitrary number.It equals 1 electostatic unit of charge (esu) per 0.001293 gram of air, and the latter occupies a volume of 1 cubic centimeter under standard condi- tions of temperature and pressure (STP). 3 However, when one is dealing with ionizing radiations thatcon- tain sources other than just x- or gamma-radiation (betas, alphas, protons, etc. ), is used.The ICRU (1962) defined absorbed dose (D) as the quotient of AED by Am,

.6E D D Am where ,6ED is the energy imparted by ionizing radiation to the matter in a volume element; Am is the mass of matter in that volume ele- ment.The special unit of absorbed dose is the rad (r). 1 rad = 100 ergs/gm

History of Background Radiation

Prior to 1900, it had long been known that a charged electro- scope, if left standing for a short time would discharge regardless of how well the gold leaf was insulated (see Figure 1).For example, Nicholson (1797) described an instrument (gold leaf electroscope and charger) which "renders the electricity of the atmosphere and other weak charges very perceptible. .''In this paper he mentions the discovery of spontaneous electricity of an electroscope by Reverend Abraham Bennet of Wirksworth in 1787. The actual study of background radiation had its origin in the observations of Elster and Geitel (1900) and of C.T. R. Wilson (1901a) that the small amount of residual ionization in an electroscope 4

Figure 1. Gold-leaf electroscope.The two gold leaves hang from a metal rod that is separated from the metal case of the electroscope by an insulating sleeve.The leaves are viewed through a glass window. 5 was present even after all possible precautions had been taken to reduce electrical leakage over the insulators.The order of magni- tude of this residual ionization corresponded to the production of about 20 ion pairs per cubic centimeter per second (Wilson, 1901a). McLennan and Burton (1903) and Rutherford and Cooke (1903) found that the ionization could be considerably reduced by surrounding the electroscope with a thick layer of some material, and they concluded that part of the ionization must be due to an external penetrating radiation.That the greater part of this effect was due to radioactive material in the ground was shown by McLennan,Gockel, Wright, and others (as cited by Rutherford, Chadwick, and Ellis, 1930) who found that the ionization was reduced when the apparatus was set up over a deep lake. The first balloon ascents for the study of radiation were made by Ebert (1901) in 1900 and 1901.He found that the discharge of the electroscope increased with increasing height.He stated in his paper, "The increase in the rate of discharge with increase in height is not such as to enable the relation to be expressed in a simple formula with few constants. "Other investigators to make balloon ascents found similar results.Gockel (1910) with an electroscope, rose to 2500 meters in a balloon in order to get away from ground radiation, but to his astonishment he found that the rate of discharge did not decrease but increased the higher he went. 6 C. T. R. Wilson (as cited by Rossi, 1964) suggested that the external radiation was produced by thunderstorms high up in the atmosphere.Besson (1909) suggested a lunar influence.Others (as cited by Rossi, 1964) thought the atmosphere might contain traces of radioactive gases (such as radon) that may concentrate in the upper layers of the atmosphere. On all of these assumptions the intensity of the unknown radia- tion should vary according to weather conditions, it should change with the hour, day, and season.Despite disagreements and uncer- tainties due to the limited accuracy of the instruments in use at the time, the radiation was on the whole remarkably uniform.It came by day and by night, in summer and winter, in rain or shine, with little change from one day to the next, and with little change from one place to another at the same altitude. An answer to this mystery was postulated by Victor P. Hess (1912).Hess made a balloon ascent at 6 o'clock on the morning of August 7,1912 near the town of Aussig, in Austria.Using a Wulf type electroscope (Figure 2), Hess found that ionization became somewhat weaker at first, as the balloon began its ascent (unques- tionably there was a radiation emanating from the earth's crust), but above 2000 feet the trend reversed itself and the ionization began to increase gradually with altitude as though the balloon were moving toward the source of the ionizing radiation instead of away from it. 7

Figure 2. The electroscope that was developed by Wulf in 1909 and was used in many of the early experiments on background radiation.It consists of two sputtered quartz fibers, mounted on a suitable quartz support, whose mutual repulsion measured by their separa- tion shows the charge on the system.(Rossi, 1964). 8 At 16,000 feet the electroscopes were discharging 4 times faster than at ground level. A few months later, after a careful study of the data, Hess presented to the scientific community a conclusion of far reaching significance.In the November, 1912 issue of the German journal, Physikalishe Zeitschrift, he summarized his work with the statement: "The results of my observations are best explained by the assumption that a radiation of very great penetrating power enters our atmosphere from above. ''For this reason he was granted the Nobel Prize in physics for the year 1936. Many investigators were skeptical of Hess's work and carried out experiments to check his findings.Kollidrster (1914) carrying out balloon flights in Germany in 1913 and 1914 reached a maximum altitude of about 28, 000 feet where he found an ionizing radiation considerably stronger than that detected by Hess. Robert A. Millikan, professor of physics at California Insti- tute of Technology, with the aid of his co-workers, Otis, Cameron, and Bowen, carried out a series of remarkable experiments between 1922 and 1926, involving measurements made underwater and at high altitudes.He came to the conclusion that the radiation discovered by Hess did come from beyond the earth's atmosphere. And it was Millikan who gave the name "cosmic rays" to this radiation. In Millikan's first series of experiments (Millikan and Bowen, 1926) begun in 1922, he and Bowen constructed several small 9 self-recording string electroscopes.They sent these electroscopes high into the stratosphere by fastening each one to two sounding balloons.As shown in Figure 3, the string electroscope E consists of two gold covered quartz fibers insulated and mounted with their ends together. When they are charged the fibers spread apart due to mutual repulsion, and as they discharge they slowly come together. Daylight, passing through a narrow vertical slit S in the instrument case, casts a shadow of the center section of the fibers on a rotating disk D containing a photographic film. As the film turns slowly and the fibers come together, they leave a double trace as indicated in the diagram. On the same film a small oil manometer recorded the height of ascent and a small thermometer recorded the temperature. The film was driven by a watch W, the whole apparatus weighing only seven ounces.On one of the best recorded flights one of the ballons burst at a height of ten miles and the other brought the instruments safely to earth.Like the earlier results obtained by other experi- menters, Millikan and Bowen found that the ionization increases with increasing altitude. Millikan's last doubts about the existance of cosmic rays were apparently dispelled by an experiment performed at Muir Lake and Arrowhead Lake in the San Bernardino Range of Southern California (Millikan and Cameron, 1926).The respective altitudes of the lakes are 11, 800 and 5, 100 feet.To any radiation passing vertically 10

fiber traces E

photo film

(a) slit

quartz fibers

Figure 3. Sensitive electroscope constructed by Millikan and Bowen to measure cosmic rays.These were sent high up into the stratosphere.(a) Schematic diagram, (b) drawing of entire instrument whichwas only six inches high (White, 1958). 11 through the atmosphere the additional 6, 700 feet of air above Arrow- head Lake would represent an absorbing mass per unit area of lake surface equivalent to 6 feet of water.By sinking his electroscopes to various depths in the two lakes, Millikan found that within the limits of observational error, every reading in Arrowhead Lake corresponded to a reading 6 feet further down in Muir Lake; thus showing that the rays do come in definitely from above and that their origin is entirely outside the layer of atmosphere between the levels of the two lakes. In the late 1920's and early 1930's the technique of self- recording electroscopes, carried by balloons in the highest layers of the atmosphere or sunk to great depths underwater, was brought to an unprecedented degree of perfection by the German physicist Erich Regener (1931 and 1933) and his group.To these scientists we owe credit for some of the most accurate measurements ever made of cosmic ray ionization as a function of altitude and depth (Figures 4 and 5). Regener (1931) was able to detect ionization at a depth of 231 meters of water below the surface of Lake Constance.He used a steel ionization vessel of 39 liters capacity, filled with carbon dioxide at 30 atmospheres pressure, and the position of the fiber of the electrometer was registered on a photographic plate at hourly inter- vals. 12

Altitude ( km)

250

ti 200

150 4 100 0

100 200300400 500600 700 800900 1,000 1,100 Depth below top of atmosphere, g/cm, 2

Figure 4. Intensity of cosmic rays as a function of atmospheric depth, as measured by Regener and his group with balloon-borne electro- scopes.The vertical scale gives the number of ion pairs produced per second by cosmic rays in one cubic centimeter of air at standard temperature and pressure.In these units, the cosmic- ray intensity at sea level is about two.(Rossi, 1964) 13

Depth below water at sea level (meters)

39.7 89. 7 O. 9 139.7 189.7

O. 8

O. 7

0.6

0. 5 ti 0. 4

0. 3

O. 2

0. 1 ISea Level

0 0 5,000 10,000 15,000 20,000 Depth below top of atmosphere, g/cm2

Figure 5. Intensity of cosmic rays underwater, as measured by Regener and his group.The total mass per unit area of air and water above the electroscope is plotted on the horizontal axis (also the depth below water corrected to sea level is shown).Sea level corresponds to a depth of 1, 033 grams per square centimeter.The vertical scale gives the number of ion pairs produced per second in one cubic centimeter of air at standard temperature and pressure.(Rossi, 1964) 14 Once the presence of extraterrestrial radiation had been defi- nitely established, the next problem to be undertakenwas the nature of this radiation. Millikan (1928) put forth the suggestion that the absorption curve of cosmic radiation could be represented by the sum of the absorption curves of 3 groups of photons with mean free paths of 300, 1250, and 2500 grams per square centimeter.Using Dirac's theory of the Compton effect (the process of pair-production was not known at this time), Millikan arrived at energies of about 26, 110, and 220 MeV for the 3 respective groups of photons.He therefore concluded that cosmic radiation was for the most part a mixture of photons with those energies. The prevailing view of cosmic rays as high-energy photons was not seriously challenged until 1929, when the German physicists Bothe and KolhOrster (1929) determined that at least some of the cosmic rays in the lower levels of the earth's atmosphere consisted of charged particles and not gamma rays. The experiments were made possible by an important technical development earlier the same year; the invention of a convenient instrument to detect individual cosmic rays. Electroscopes of the type used in earlier work on cosmic rays could detect only the combined ionizing effects of large numbers of particles over relatively long periods of time.They could not detect 15 individual particles because the passage of a single particle through an electroscope does not produce enough ionization to cause an ob- servable movement of the electroscope leaves.There were, of course, instruments capable of detecting individual ionizing particles. For many years physicists had been using the cloud chamber (Figure 6) developed by C. T. R. Wilson (1911) and the point counter (Figure 7) developed by Geiger (1913). However, neither of these instruments were well suited to cosmic ray studies.The cloud chamber was difficult to run and was sensitive for no more than a small fraction of a second at each ex- pansion.The point counter was not very stable and could not be made sufficiently large to be of much use in the study of a radiation whose intensity was as small as that of cosmic rays. The answer to the needs of cosmic ray physicists came in 1928 with the invention, by Geiger and one of his students, Muller (1928), of the so-called Geiger-MUller counter.This instrument consists of a metal tube with a thin metal wire stretched along its axis (Figure 8). The tube is first evacuated and then filled with a gas at a pressure of about one-tenth of an atmosphere.Under operating conditions, the wire is held at a positive potential with respect to the tube. The G-M counter works on the same principle as the point counter; that is,it makes use of the cascade effect, in which a single ion pair produced in the gas triggers a discharge.The operating 16

expansion chamber

Figure 6. Simple elements of a Wilson cloud chamber.The chamber, whose volume may be as large as one cubic foot, operates with such mate- rials as air and water vapor, or argon gas with alcohol. When the piston is pulled back rapidly, the gas and vapor in the chamber expand.The resulting drop in temperature is sufficient for conden- sation of the vapor, which, if carefully controlled, takes place around any ions present in the gas.(Weidner and Sells, 1960) 17

Figure 7. Point counter.It consists of a metal box containing a pointed rod that is held in place by an insulator.Ionizing particles enter the box through a window in front of the point.The window is covered by a thin foil so that the counter can be operated with different gases and at different pressures.The case is connected to the negative terminal of a high-voltage battery with its positive termi- nal grounded.The rod, connected to an electroscope, is grounded through a large resistor; thus the rod is at a positive voltage with respect to the case. When a discharge occurs in the counter, the electroscope wires undergo a sudden deflection.The wires then quickly return to their original position as the charge leaks to ground through the resistor.(Rossi, 1964) 18

Figure 8. The Geiger-Miiller counter.Metal tube T; insulators G; thin wire W; tube for evacuating and filling the tube E.Electrical connection and mode of operation are similar to those of the point counter (Figure 7).(Rossi, 1964) 19 voltage is usually between 1, 000 and 1, 500 volts, and the counter is sensitive over practically its whole volume.The G-M counter is comparatively easy to build, is much more reliable than the point counter, and can be made in a variety of sizes, up to several inches in diameter and several feet in length. In their experiments, Bothe and KolhOrster (1929) used arrange- ments of G-M counters to prove that at least some of the cosmic rays in the lower levels of the earth's atmosphere consisted of charged particles and not gamma rays.The coincidence arrangement, where- by it is demanded that the particles shall traverse two counters, proved invaluable for studying the cosmic ray intensity in different directions.The latitude effect (i. e. the variation of cosmic ray intensity with geomagnetic latitude), had been discovered a year earlier by Clay (1927).The work on the latitude effect was followed, in 1930, by classic studies of Compton (1933) and his collaborators who measured the cosmic ray intensity at many points over the earth. Another advance came in 1933 with the discovery by Johnson (1933) that the intensities from the west and east were not equal (east-west effect).This was a rather important result which showed that not only were there charged particles, as distinct from gamma rays, in the cosmic radiation, but that the majority of the particles were positively charged. With a cloud chamber operated in a strong magnetic field, 20

Anderson1discovered the positive electron (positron) in 1932.In 1929 Skobelzyn andAuger'had found cases of many simultaneous particles crossing their chamber, the so-called showers, and Blackett andOcchialini' showed the existence of positive and negative electrons in these showers.It was then realized that the positron could be interpreted as the positive counterpart of the negative elec- tron, a particle predicted by a theory duetoDiracl.This advance initiated developments on the theory of showers by Bhabha and Heitler1,and independently by Carlson andOppenheimer',and led to the early understanding of the general features of showers, which is now known to consist of a cascade process of pair-productionand bremsstrahlung as shown in Figure 9 (hence the name "cascade shower"). Measurements by Rossi (1964) in 1932 on the absorption prop- erties of the cosmic radiation showed the existence of two main com- ponents, the "hard, " or penetrating, component and the "soft, " or easily absorbed, component.Cloud chamber experiments soon identified the soft component with electrons but the penetrating

1Due to the large number of investigators who contributed to the literature of cosmic radiation, only the work of a selected few have been studied and referenced in the bibliography.For those whose work is not cited and for a more thorough review of the subject, see Rossi, 1964 and Wolfendale, 1963. 21 particles proved to be more difficult to identify. All the difficulties disappeared with the postulate that the pene- trating particles consisted of particles of mass intermediate between that of the electron and the proton.The direct determination of mass from cloud chamber observations using range momentum methods was made by Anderson and Neddermeyer (1937), and independently

by Street andStevenson',, n the period of 1936-1938.The particles were found to have a mass of about 210 electron masses and were later termed mu-mesons. Subsequent measurements showed them to be unstable against decay into an electron and 2 neutrinos, and their

mean-life was found to be about 2 x10-6seconds. With the development of nuclear emulsions (emulsions con- taining much higher concentrations of silver bromide than ordinary photographic types and were thus more sensitive to ionizing particles), another heavier particle was discovered by Lattes, Muirhead, Occhialini, andPowell'in 1947.These particles were named pi- mesons.Their mass is about 275 electron masses. The possible existence of, and the spontaneous disintegration of, mesons was first predicted byYukawa'in 1935, and first photo- graphed by Williams andRoberts'in 1940.All charged pi-mesons

seem to have a mean-life of 2 x10-8seconds, and each one decays into a charged mu-meson and a neutrino. The uncharged pi-mesons are very unstable.With a mean-life 22 of less than10-14seconds they decay into 2 gamma rays.In the upper atmosphere these gamma rays initiate cascade showers by producing electrons and positrons through pair-production. Many of the charged mu-mesons, with their mass of about 210 electron masses, traverse the atmosphere before decaying, and reach the surface of the earth. In traversing solid matter, negatively charged pi-mesons fre- quently slow down to such a speed that upon an encounter with a nucle- us they are attracted by the positive charge and captured.In this process the meson's mass is transformed into energy exciting the nucleus to such a state that it literally explodes by shooting out a number of heavier particles like protons, deutrons, alpha particles, etc.This is known as a "star event." Studies of cosmic ray tracks, made in nuclear emulsions and in cloud chambers, indicate the presence of particles with masses of about (a) 966 electron masses called tau-mesons and theta-mesons, (b) 1200 electron masses called kappa-mesons, and (c) 2200 electron masses called hyperons.However, the tau-mesons disintegrates into 3 pi-mesons, each theta-meson into 2 pi-mesons, and each kappa-meson into a mu-meson and a neutrino. By this time the general features of cosmic radiation have now become clear.The puzzle has essentially fallen into place and Figure 9 summarizes the picture that is made. p Nuclear1 collision

n f L ± P Cascade Decay 7r 7r 71 K Y Shower 1 I IliP (DecayDecay Y lv Nuclear collision Pair production [ Nuclear collision 1+ u+ v ,-L- v r lo 1 1+ 1 I- I+1_ If L b If e ee 7i Brersstralilgun 7i Ir 1 Tr 1° I 1 I 1 e+ 'y )1/ eL v v

1+ I 1-- I

111 r

Figure 9.

Progeny of a cosmic ray particle.The primary particle (usually a proton) collides witha nucleus of oxygen or nitrogen in the atmosphere.The products include neutrons (n), protons (p), neutral pi-mesons (Trip), charged pi-mesons (Tr+ and Tr."), antiprotons and antineutrons (15 and ri), kappa- mesons (K), and hyperons (Y).Neutral pi-mesons decay into gamma rays (y), which in turn materialize into positive and negative electrons (e+ and e-) which initiatesa cascade shower. Charged mesons may strike other atmospheric nuclei or decay intomu-mesons (11+ and ) and neutrinos (v ).Broken lines indicate that further interaction will take place.Most charged par- ticles arriving at the surface of the earth are electrons, positrons, andmu-mesons.(Rossi, 1964) 24 Sources of Natural Radiation

Cosmic Rays Cosmic radiation consists of primary radiation entering the atmosphere from outer space and of secondary cosmic radiation pro- duced by interaction of the primaries with the earth's atmosphere. The primary component consists of highly energetic, positively charged nuclei.Protons constitute 83-89 percent of this primary radiation, alpha particles 10-15 percent, leaving 1-2 percent for nuclei having Z'--t3 and for some energetic electrons (United Nations,

1966).The average incident energy of these particles is 2 x 103 MeV with some having energies as high as 1 x 1010 MeV (United Nations,

1966).See Figure 10.

This primary radiation is incident from all directions.The major portion of the primary cosmic radiation is of galactic origin. Low energy particles of solar origin in the 10 MeV range may reach the earth during large sunflares.The contribution of solar particles to the total cosmic ray intensity in the lower atmosphere is negligible, however, if averaged over long periods (United Nations, 1966). The secondary component is a composite of many types of radiation formed by nuclear collisions of the primary particles with nitrogen, oxygen or argon mainly in the upper atmosphere. At sea level we can break this radiation down into three separate groups; 25 the muon, the nucleon, and the electron-photon component. The maximum muon component is found at a height of approxi- mately 12, 000 meters and at 3, 000 meters the muon component con- tributes about 50 percent of the ionization due to cosmic radiation (United Nations, 1966). The nucleon component consists of nuclear fragments, mainly neutrons and protons.Most of these particles are removed before reaching sea level, therefore their contribution to ionization is negligible (United Nations, 1966). The electron-photon component includes electrons, positrons, and photons.This group comprises the bulk of the "soft" component (absorbed in about 15 centimeters of lead).The "hard" component at sea level (only slightly attenuated by 15 centimeters of lead) con- sists mainly of muons and of high energy protons. The intensity of the cosmic radiation recorded at sea level is dependent on latitude.This is due to the deflection of the positively charged primary radiation by the earth's magnetic field.Particles with low energies reach only the magnetic poles while those with

energies in excess of 6 x104MeV can reach the earth anywhere (United Nations, 1966).The intensity of ionization due to cosmic rays is only about 10 percent higher near the geomagnetic poles than that at the equator (United Nations, 1966).Due to the east-west effect there is an excess number of particles arriving from the west. 26

104

C

ca 1 02

RI

a.a) c\I CC

10

7)

ca

x 10

6 10 109 1012 1014 1016

Energy (eV)

Figure 10. Integral energy spectrum of the primary cosmic ray protons.(United Nations, 1966). 27

Altitude (km) Ln c0 ko Le) rn N: td m' T-4 --I

I I I I I L I I I

Electrons

1 0.)

Primary VI protons 1 f I l I I I r I 1 I 0 ZOO 400 600 800 1,000 Atmospheric depth (g/cm2) Figure 11: The vertical flux densities for the main components of cosmic radiation as a function of atmospheric depth (at geomagnetic latitude of 45 N).(United Nations, 1966) 28 Cosmic rays which reach the earth's surface can interact and produce radioactive nuclides, but these have extremely low activity and are unimportant in comparison with other nuclides of natural origin (United Nations, 1966).

Terrestrial Radiation Sources

Soil.Radiation from naturally occurring radioactive isotopes in the ground forms an appreciable part of the total natural back- ground.These radioisotopes are still present in the earth's crust either because they are continually being produced by the decay of unstable parent nuclei or by nuclear reactions from cosmic rays. From the standpoint of distribution and activity, the most important of the natural radioisotopes are carbon- 14, potassium-40, radium- 226, thorium-232, and uranium-238, and the decay daughters of the last three nuclides (Lowder and Solon, 1956).

Waters. An extremely wide range of natural radioactivities exists in various types of water, depending largely upon their origin. The natural radioactivity of sea water is mainly due to potassium-40 (United Nations, 1966). Natural radioactivity in fresh waters is due to some activity transfer from soils and the atmosphere.Thus the activity concentrations found in waters depend on the concentrations encountered in the rocks with which the waters are in contact.The 29 levels of natural activity originating from uranium and thorium series are found to be high in certain natural springs which are found in areas where there are high concentrations of uranium and thorium in the soil (United Nations, 1966).Similarly, drinking water exhibits wide variations of activity depending upon its origin and on the treat- ment it receives before it becomes available for consumption (United Nations, 1966).The radioactivity of natural surface waters is due primarily to radium (Lowder and Solon, 1956).

Atmosphere.The natural radioactivity of the atmosphere is caused mainly by radon-222, radon-220, and their radioactive decay products.Whenever there are uranium or thorium bearing minerals present in the soil, the gaseous decay products radon-222 and radon- 220 are injected into the atmosphere by diffusion (United Nations,

1966). Radon concentration in air is dependent on various factors (United Nations, 1962):In general the level indoors is higher than that out of doors and it is dependent upon the building construction materials and the ventilation conditions.It is dependent upon meteor- logical conditions.Rain tends to reduce the radon concentration of the air.It is dependent upon the time of day.The maximum radon concentration is usually found during early morning hours due to a temperature inversion formed at night.Rising temperature during 30 daytime will break this temperature inversion and minimumconcen- tration values are usually found during afternoon. Both carbon- 14 and tritium are produced in the atmosphere primarily by the reaction of cosmic ray neutrons with nitrogen atoms of the air.These result in a negligible external dose rate (Lowder and Solon, 1956).

Internal Emitters.In addition to the radiation incident on the body from external sources, certain radioactive isotopes are present within the body in varying amounts, and contribute to the total back- ground dosage.These radiation emitters are ingested into the body in food and drinking water or inhaled into the respiratory system from the atmosphere.The most important of these internal emitters are potassium-40, carbon-14, and radium-226 (Lowder and Solon, 1956).Potassium which concentrates in muscle tissue, account for nearly all the gamma radiation emitted from man (Lowder and Solon,

1956).

Recent Background Measurements

The following are estimates of the total background radiation as determined by various investigators.These measurements are pri- marily gamma radiation, due to the short range of the beta radiation. Hess, Parkinson, and Miranda (1953) determined the beta ionization 31 at various heights above the ground, finding that the ionization is normally more than twice as great as that for gamma radiation at the surface of a rock, decreasing by a factor of about 7 in the first meter and going effectively to zero at a height of 5 meters. According to Hulqvist (1956) the beta dose contribution may safely be ignored in comparison with the gamma radiation. Hess and Vancour (1950) measured the gamma background radi-

ation out of doors at Fordham University in New York.Using an ionization chamber they obtained a value of 10.3 1.1.r/hr (micro-rads per hour). and Hultqvist (1952) made extensive measurements of gamma radiation in Sweden using ionization chambers.In the streets of Stockholm they found a level of 13.8 to 17.1 µr /hr.In wood houses an average level of 11.9 1,r /hr was obtained.In brick and concrete houses a level of 16.5 to 33.8 Fir/hr was obtained.This clearly indi- cates the importance of the contribution due to various types of build- ing materials.In general this increase is due to the greater concen- trations of uranium and thorium in concrete and brick over that in wood (Lowder and Solon, 1956). Cowan (1952) reported the results of a full years record of gamma background radiation from a chain of 16 monitoring stations at Brookhaven National Laboratory.The level as measured with bakelite-walled ionization chambers averaged about 10 µr /hr. 32 Burch and Spiers (1954) utilizing high pressure ionization chambers determined the gamma background in England to be 10.7 to 10.9 µr /hr. Libby (1955) reported background levels (using results compiled by other workers) of 16.8 µr /hr over granite rock, 9.1 pr/hr over sedimentary rock, and 6.5 µr /hr over open ocean at 55° N.The higher values over granite rock are due to a particularly rich con- centration of potassium-40 (Lowder and Solon, 1956).Libby also reported that at 5,000 feet altitude radiation levels are about 3.4 pr/hr higher because of cosmic ray intensity.At 10,000 feet the increase is about 8.6 µr /hr over that at sea level. In a composite of work from many investigators the United Nations Report on the Effects of Atomic Radiation (1962) reported a total background dose to man (gonad) of 10.6 µr /hr including internal emitters and 9. 2 p./hr excluding internal emitters.In an updated version of this report (United Nations, 1966) these values were given as 10.4 and 8.9 p.r/hr respectively. Shonka, Kastner, and Rose (1963) utilizing a 16.5 liter, muscle- equivalent, ionization chamber (Shonka chamber), filled with muscle- equivalent gas at atmospheric pressure, obtained the following results: Measurements in a first floor laboratory indicated a dose of 6.8 µr/hr with a coefficient of variation equal to 0.5 percent.Measurements outside of the building indicated a value of 14 to 15 µr /hr indicating 33 that the building attenuates the outdoor radiation considerably.The cosmic ray dose rate over Lake Michigan was found to be 4.2 µr /hr at sea level.Corrections were made for the height of the lake (about 580 feet) and for radon content in the air, but not for geomagnetic latitude.Measurements in an iron room made up of 8 inch walls gave a value of3 1.1.r/hr.This corresponds to an attenuation of 57 percent of the cosmic ray component. Gustafson, Kastner, and Luetzelschwab (1964) used a Shonka chamber to measure background dose.They determined the total background dose at Argonne, Illinois to be 8.0 ± 0.3 p,r/hr and the component due to cosmic rays (as measured on Lake Michigan) was found to be 4.4 - 0.2 kr /hr. A summary of the variation in natural doses of radiation as given by Folsom and Harley (1957) is shown in Figure 12.This figure attempts to bring into a single picture the magnitudes of the main components making up the radiation in each of several domains of interest.These values were taken from a composite of various workers, but mainly from Libby (1955). 34

11. 45 1 . / Cosmic rays 10, 000 ft

\\\ 1.95 \ \\ \ . 00 4.00 / \ 1.95 40 \ \\\ 31'204. 00 4 00 \ 10.30 \\\ 2 6_ \ \ . 057 0.114727,57.0746./05 \Grath\\\\\\ te.\\-- .1 ---..-::=, 100 rti \ \ \`Lake- 114 .046 \\\ \ \ \ --7-,.-- \\\\ \ \\-..;Sedimentar- \ \ \\ 7 'roel-.-- Sea \\ \\\\\\\\\ \\, \i'-.\\ \\ \\ \ \ L-. . \ \ \.\ \ \. \\t m.0°1 Total Natural Doses ( grad/hour) Man over Man over Man Large fish Micro organism Granite Sedimentary over in sea in sea 10, 000 ft m.s,l. rock sea at surf100 mat surf100 m 28.7 16.25 8. 6 5. 95 7. 33 3. 43 4.46 O. 57

Figure 12. Variation in natural doses of radiation.(Folsom and Harley, 1957) 35

INSTRUMENTATION

The Ionization Chamber

An ionization chamber is a device used for collecting the ions formed by ionizing radiations. A chamber of this type most commonly consists of a spherical or cylindrical conducting shell with an in- sulated central electrode. When ionization takes place in a gas in the presence of an electric field the ions will move in opposite directions, each going to the electrode having the charge of opposite sign.If the electrodes are connected to a battery, the ions reaching the electrodes will give up their charge and become neutral, but at the expense of re- moving a charge from the battery.This operation results in a current flow through the battery and the external circuit.For back- ground measurements this current flow is extremely small ( on the order of10-15amps) and very sensitive and stable measuring devices are required to detect it.One such device commonly used is a vibrating reed electrometer.This instrument incorporates a vibra- ting capacitor (one of the plates oscillates) which converts the d. c. input voltage to a. c.; this signal is then amplified and finally con- verted back to d. c. by rectification of the a.c. signal.By use of an a. c. amplifier, the problem of drift associated with d. c.ampli- fiers is eliminated. 36 If the potential difference between the electrodes of the cham- ber is maintained at snch a value that the gas amplification is one, then in theory all of the ions of one sign produced in this volume by the radiation field, can be collected by the central electrode, meas- ured by an external electronic device and the dose in rads deter- mined as follows:In Chapter I the dose was defined as the energy imparted per unit mass of material (AE/ Am).The average dose in the cavity of the chamber, bc, is equal to

Dc WcJ where We is the average energy lost per ion pair formed in the gas (pff/ion pair) and J is the number of ion pairs per unit mass of gas (ion pairs/Am).Since electrical measurements give charge of the ions rather than the number, it is more convenient to use Q', the charge collected per mass of gas (Q/ Am), rather than J.If e is the charge per ion pair, Q' = eJ.Then Dc = (W/e)cQ' To obtain the dose rate each side of this equation is differentiated with respect to time.This yields

dD (W/e)dQ'- (W/e)I' dt c dt where I' is now the ionization current per mass of gas (I/Am).If (W/e)c is in ergs per coulomb and I' in amperes per gram, then the dose rate in rads per second is found by multiplying by 1/100 (since 37 there is 1 rad/100 ergs./gm).Therefore the average dose or dose rate in the cavity of a gas filled ionization chamber is not difficult to determine if Wc is known and the ionization current I can be measured accurately.If the current I is determined by measuring the charge collected on a capacitor C, then, since I = C dV/dt, the dose rate in the cavity will be given by

dDc C(dV/dt) c (W /e) (W/e)c dt om where dV/dt is the rate of change of voltage.

Cavity Theory

However, one may be concerned with using an ionization cham- ber to measure the dose in a medium other than the cavity material. To do this requires the use of cavity theory.Cavity theory, as de- fined by Roesch (1968b), relates the average dose, 5c, in the cavity material to other quantities of interest.To use cavity theory re- quires a knowledge of the cavity and wall thicknesses of the chamber. A "thin" wall or cavity is one in which the medium is thin enough to have negligible influence on the radiation field.A "thick" wall or cavity refers to a medium where secondary electron equilibrium exists (Roesch, 1968b).Table 1 gives the relationships between the average dose in the cavity and the dose in an arbitrary medium (Dm) for various wall and cavity thicknesses.S/p refers to the electron 38 Table 1.Dose in an arbitrary medium for various combinations of wall and cavity thicknesses (Roesch, 1968b). Thin Wall Thick Wall

(S/p )m Thin Cavity D 5 D =(sip )w (I'/ P )m 5c m )c c m (s/p(sip )c(p.k/ p ).sx,

Thick Cavity Dm =(141c/P)m Dc )c mass stopping power (MeV-cm2/gm)and p.k/p to the mass energy transfer coefficient (cm2/gm)(Roesch, 1968b).Both of these factors are a function of photon energy and material.The subscripts, w, c, and m refer to the material comprising the wall, cavity and medium of interest, respectively.Tables for these factors are given by Evans (1968). Therefore if the cavity and wall dimensions of an ionization chamber are known, and values can be found for S/p and ilk/ p, then the dose in an arbitrary medium of interest can be determined by measuring Dc and using Table 1.

Calibration Techniques

Another method that can be used to relate the average dose in the cavity to the dose in an arbitrary medium is by the use of a 39 calibrated (radium-226 or cobalt-60 are common- ly used for this purpose).All that is required is that the dose or exposure rate in air be known accurately at a given distance from the source.By use of the inverse square law, the desired dose rate (one which will maintain saturation of the chamber, see page 41) can be obtained by adjusting the source chamber distance (SCD).The measured ionization current is then compared with the known dose rate in air at this point.The ratio of the ionization current to the dose rate is then taken to give what is termed the sensitivity of the system (in this study the sensitivity is expressed as mV /sec /µr /hr). To determine a given dose rate in air the ionization current (in our case the voltage rate) is divided by the sensitivity of the system. To determine the sensitivity in a medium other than air it is required that we know the dose rate in this medium.This value can be determined from the dose rate in air as follows:The energy absorbed in a given media is directly proportional to the energy attenuation coefficient for that media (Roesch, 1968b).In order to convert the dose rate in air to an in another medium, the following correction must be made:

dDm dDair (p.k/p )rn dt dt (Pa/P)air If a calibrated source is not available then an alternative is to use another ionization chamber as a standard and to calibrate the 40 system against it.The standard must be both a precise and accurate instrument and sufficiently sensitive to measure the field rates desired. The calibration is accomplished by placing both systems in a radiation field under the same geometrical conditions and comparing the dose rate of the standard to the ionization current of the system under consideration. From these values an estimation of the sensi- tivity of the system can be made.

Relationship Between Exposure and Dose

Once the dose in the medium of interest has been determined, the exposure in roentgens can be found if the ionization produced within the chamber is due entirely to photons.By definition 1 roent- gen (R) is equal to 2. 58 x10-7 coulombs/gmin air.Using the currently accepted value for W in air of 33.7 eV/ion pair (Roesch, 1968b), 1R = (2. 58 x10 7coul/gm)(33. 7 eV/ip)(1.6x10-12 ergs/eV) (1.6 x10-19coul/ip) 1R = 86.9 ergs/gm (in air) By definition 1 rad is equal to 100 ergs/gm.Therefore 1 R = O. 869 rad (air) As discussed earlier the energy absorbed in a given media is directly proportional to the energy attenuation coefficient for that media.If we consider tissue as our medium of interest, then to convert the 41 dose in air to an equivalent dose in tissue the following correction must be made.

rad (tissue)(tik /61'tissue rad (air) (Ilk/ P )air

The average photon energy of background radiation is on the order of one MeV (Roesch, 1968a).Values of the mass energy transfer coefficients for a photon energy of 1 MeV are 0.0308 and 0.0280 cm2/gmfor tissue and air respectively (Evans, 1968).Therefore

rad(tissue)0.0308 1.11 rad(air) 0.0280 1 R = 0.869 rad(air) 1.11 rad(tissue) rad(air) 1R = 0.965 rad(tissue) In general

-1 X(R) =(0.965)D( 1.)tissue where X is the exposure in roentgens (R) and D is the dose in rads (r).The exposure rate is given by

dX(R) tissue dt (0.965-)IdD(at

Saturation

As the voltage difference between the electrodes of an ioniza- tion chamber exposed to radiation is increased from zero to high values the current collected increases, at first almost linearly with 42 voltage, and later more slowly, until it finally approachesasymptot- ically the saturation current for the given radiationintensity; that is to say, the current that would be measured if all the ions formedin

the chamber by the radiationwere able to reach the electrodes.The curve of voltage versus current is called the saturationcurve (Fig- ure 13).

At low collecting voltages some of the ions produced in thegas meet and neutralize others of opposite sign before theycan reach the collector.This recombination can be reduced by sweeping the ions out of the chamber more rapidly, either by increasing the field

strength or by reducing the distance between the electrodes,or by both of these measures.The maximum field that can be applied is limited, however, by the onset of gas amplification.This is the process in which a free electron can gain enough additional energy from the electric field in a single mean free path to ionize thenext molecule with which it collides.Therefore an amplification factor of greater than one occurs.As soon as this begins to occur a rapid multiplication of ions in the chamber takes place, and the totalcur- rent collected becomes strongly dependent on the applied voltage. There is a means to theoretically determine the collection efficiency, f (ratio of measured current to the ideal saturation current), for various geometrically shaped ionization chambers (Boag, 1966).The general expression is given by 43

Saturation Current

Applied Chamber Voltage

Figure 13.Typical saturation curve. 44

f(E) 1 1 +6 E2

md2g2 E V where V is the applied chamber voltage, q is the ionization rate (esu/cm3-sec),m is a constant, characteristic of the gas at the given temperature and pressure (36.7 ± 2.2 for air at STP), and d is a value dependent upon both the size and geometry of the system. For a spherical ionization chamber d2 is given by

2 1 d= 3(a b)2(2:+b+ 1) b a where a equals the outer electrode radius and b the inner electrode radius.

Spurious Ionization

Another difficulty one must consider when designing an ioniza- tion chamber to measure very low currents is the ionization pro- duced by alpha particles from radioactive impurities in the wall of the instrument.These give rise to spurious random increases in ionization. Collidal graphite is sometimes coated on the inside of the chamber wall to make it conducting.Since the range of an is very small (on the order of microns for graphite), the graphite coating essentially stops the alphas before they are able to 45 enter the sensitive volume of the chamber (Roesch, 1968a).Also this effect is often overcome by using a chamber of large dimensions and filled at high pressure so that the ionization produced by the radiation field is very great (Wolfendale, 1963).

Temperature and Pressure Corrections

The final factor to be considered when making measurements with an ionization chamber is correction for temperature-pressure variation.The definition of the roentgen refers to a mass of 0.001293 gm of dry air at STP.This corresponds to the mass of 1 cm3of air at To = 0°C = 273oKand Po = 760 mm-Hg pressure. If the actual conditions are T(°C) and P(mm-Hg), then the uncor- rected exposure in roentgens must be multiplied by (T + T0)(P0) KTP = To

(T +273)(760) 273 P to give the correct exposure. This may be explained as follows.Suppose the air were at a temperature of 20oCand pressure 755 mm-Hg. The warmer air will have expanded and there will be a smaller mass of air in the chamber.Therefore too small a reading will be obtained so the correction factor must be greater than one.In this case it would be 293/273.Because the pressure is too low, too little airis present, 46 hence again too small a reading will be obtained and the correction factor for pressure should also be greater than one.In this case 760/755. It should be noted that temperature and pressure corrections need only be applied for unsealed ionization chambers. For a sealed chamber, the volume of gas remains constant; therefore the mass of gas remains constant regardless of the temperature and pressure. An initial correction may be required if the chamber is filled and sealed at a temperature and pressure other than 0°C and 760 mm-Hg. The correction factor for temperature and pressure is applied to measurements of dose in the same manner as for exposure.This is evident from the fact that the dose is inversely proportional to the mass of gas in the chamber just as is exposure.

Fiberglass Chamber- Victoreen Electrometer System

General Design

This system consists of a 38.85 liter fiberglass wall chamber, air filled, not sealed, used in conjunction with a 100 pf ± 0. 1% precision capacitor (General Radio), nulling voltage supply (Honey- well Potentiometer), chamber voltage supply (batteries) and a vibrating reed electrometer (Victoreen 475 Femtometer).The chamber is attached to the electrometer and capacitor using low 47 noise coaxial cable and a BNC "T" connector.The chamber is mounted in a wooden support and insulated from the wood by three bakelite insulators.This system is shown schematically in Figure 14 and a photograph of it in Figure 15. In this system the charge is collected on the capacitor and nulled using the null voltage supply with the null point detected by the electrometer.The sensitivity of this system was found to be 0.0557 mV/sec/p.r/hr.

Construction

Chamber.The fiberglass sphere was obtained from Struc- tural Fibers, Inc Cardon, Ohio.It has a non- uniform wall thickness varying from a minimum of 3/16" to a maximum of 5/8". The volume of the sphere was determined by filling it with a measured amount of water using a 1000 milliliter beaker.The measurement is estimated to be accurate to 1%. The volume occupied by the central electrode assembly was subtracted to give the active volume of the chamber (38. 85 liters). The chamber wall was made conducting by coating the inside with colloidal graphite suspended in isopropyl-alcohol (alkadag). This was accomplished by pouring in the contents of a can, moving it around until the entire surface was coated,and then pouring out the residuFl.Due to the alcohol base in which the graphite is 48

Victoreen 0 Femtometer Ion T113=c=i Chamber ,,-

+ Voltage 90 volts Supply General Radio Honeywell

1 100 pf Capacitor Potentiometer

Figure 14.Schematic of fiberglass chamber-Victoreen electro- meter system. 49

Figure 15.Photograph of fiberglass chamber- Victoreen electrometer system. 50 suspended, it dries very rapidly. A chamber voltage of 90 volts was found to be sufficient for saturation at background field rates.The saturation curve was deter- mined theoretically using the equation provided by Boag (see page 44) and checked experimentally by actually measuring the ionization cur- rent as a function of chamber voltage.The results are shown in Figure 16.

Central Electrode.The primary problem encountered in the construction of the central electrode was one of insulating it from the chamber wall.Since the ionization current is so small (on the order of10-15amps) it is very easy to have leakage many orders of mag- nitude-higher than this value if the insulation if poor. In order to provide the best possible insulated central electrode, a circular piece of 1/4" plexiglass (resistivity on the order of1020 ohms-cm) was joined to the threaded portion of a plastic cap that was acquired with the sphere. A 1/4" hole was drilled and tapped in the center of this assembly. A 1/4" in diameter, hollow, plexiglass rod, 9-7/16" in length, was threaded and attached to this base. A small hollow sphere (table tennis ball), 3.8 cm in diameter, was cemented to the end of the rod.A female BNC connector was attached to the outer surface of the base.The entire assembly was then exposed to approximately106R using a General Electric Maxitron 300 X-ray 1.0 0

0. 9

0. 8

0. 7

0.6

0. 5 Theoretical values 0 Experimental values 0. 4

0. 3

0. 2

0. 1

10 20 30 40 50 60 70 80 90 Applied Chamber Voltage (volts ) Figure 16.Collection efficiency (ratio of measured current to saturation current)versus applied chamber voltage for 38.85 liter fiberglass ionization chamber.Collection efficiency determined using Boag's equation (assuming a field rate of 7 gr/hr) and also deter- mined experimentally using the current collected at 135 volts as saturation. 52 Unit.This has an effect of improving the insulation properties of the insulators (Trout, 1968). A thin copper wire was then soldered to the BNC connector.This wire was extended up the hollow plexi- glass stem and attached to the outside of the small sphere.This sphere was then coated with alkadag to make it conducting. A schematic drawing of the central electrode assembly is shown in Figure 17 and a photograph of it in Figure 18.

Leakage Determination

Before the central electrode was made conducting (i. e. before the wire was attached and the alkadag applied to the small sphere) an estimation of the leakage in the system was made.The entire appa- ratus was assembled and measurements made of the charge collected. Theoretically, since the central electrode is non-conducting, there will be no charge collected due to ionization in the chamber and this current should be a measure of the leakage in the system. An aver- age from 29 readings gave a value of 0.03185 mV/sec.

Calibration

Calibration of this system was made using a Shonka chamber and electrometer (discussed in the next section) as a standard.The Shonka chamber contains muscle-equivalent walls and a muscle- equivalent gas.Therefore the sensitivity of the fiberglass system 53

( Table Tennis Ball 3. 8 cm diameter

9-7/16" Copper Wire Plexiglass stem 1/4" diameter

Plastic Threads

1/4" Plexiglass Female NC Connector 1/8" Plexiglass

Figure 17.Schematic of central electrode assembly. 54

Figure 18.Photograph of central electrode assembly. 55 will be in terms of dose rate in tissue equivalent material. The calibration was performed by placing both chambers under similar geometrical conditions. A comparison of the ratio of the ionization current of the fiberglass system with the dose rate of the Shonka system provided an estimation of the sensitivity.A compari- son of 10 readings yielded an average sensitivity of 0.0557 mV/sec/ 4r/hr. The Shonka chamber is sealed and requires no temperature- pressure corrections.The sensitivity was corrected to read at STP when the chamber was filled.The fiberglass chamber, however, is not sealed.Therefore when it is calibrated against the Shonka sys- tem it reads at STP, but To and Po are now given by the temperature and pressure at the time the calibration is made rather than 273oK and 760 mm-Hg. These values are, To = 21. 5°C = 294.5°K Po = 763.8 mm-Hg The temperature-pressure correction factor is then given by (AT + 294.5) (763.8) KTP 294.5 oC; where LT is TTo and T refers to room temperature in P re- fers to the pressure in mm-Hg. 56

Shonka Chamber and Electrometer System

This system consists of a Shonka chamber used inconjunction with a Shonka electrometer.The chamber is coupled directly to the electrometer without the need for or use of a connectingcable.The effective capacitance of the system is 5.296 pf.A controlled buck- ing voltage, supplied by means of aprecision potentiometer, and a chamber voltage supplied by batteries, arethe only accessory equipment required for making measurements.A schematic dia- gram of the setup is shownin Figure 19.A chamber collecting potential of 90 volts was found to be sufficientfor saturation at background field rates and for calibrationwith radium standards (Gustafson, Kastner, and Luetzelschwab,1964). In this system the voltage developeddue to collection of charge on the chamber,centerelectrode is balanced (nulled) by a voltage supplied by the potentiometer and the nullcondition detected by the electrometer.The sensitivity of this system is 0.320344mV/sec/ Fir/hr. The Shonka chamber is a spherical vesselwith an active volume of 16.5 liters.The wall is composed of a conducting muscle- equivalent plastic (6 mm thick), filledwith a muscle-equivalent gas to 760 mm-Hg at15°C.The entire assembly contains no metal,and has a polyethylene guard-ring insulatorand molded polystryene 57

Electrometer Electrometer Power Supply

Chamber Voltage Supply Honeell Pote ometer

Figure 19.Schematic of Shonka chamber and electrometer system. 58

Figure 20.Photograph of Shonka chamber and electrometer system. 59 insulator supporting a thin central collecting rod terminated by a thin walled, hollow, tissue equivalent sphere four centimeters in diameter.Since both the chamber wall and filling gas are composed of tissue equivalent material the dose in tissue is given by the dose in the cavity irrespective of the wall and cavity thicknesses (see Table 1, page 38).Therefore

dD dDtissue (W /e))tissueC(dV/dt) dt dt LM The value for W was determined by W. P. Jesse (Shonka, Kastner, and Rose, 1963) to be 26.2 eV/ion pair for the gas.The ionization rate calculated for the system was compared with the ionization actually obtained using a calibrated radium source by Shonka, Kastner, and Rose (1963) and agreement was good enough to assume that the chamber did in fact behave as muscle-equivalent material. The Shonka electrometer consists of a quartz fiber string connected by means of a phosphor-bronz spring to the chamber center electrode.The string is mounted between two electrodes (binants) upon which is impressed both a. c. and d. c. voltage sig- nals from the power supply.The string image is projected on a scale and viewed through a microscope (Figure 21).The voltage signals from the power supply are used to bring the fiber to a rest or null condition and the magnitude of the d. c.signal used to adjust the sensitivity of the electrometer (this is not to be confused 60 with the sensitivity of the chamber).If the d. c. signal to be meas- ured from the central collecting electrode is impressed upon the fiber it will cause it to oscillate within the a. c. field, resulting in an oscillatory or fan shaped image of the fiber on the scale (Figure 21-c).If an equal but opposite bucking voltage is then applied to the fiber the string image will again be at a rest (null) condition (Figure

21-b).The magnitude of the d. c. signal is then determined by reading the value of the bucking voltage from the potentiometer. To minimize leakage in the system the chamber is mounted in a wooden support and insulated from the wood usingthree amber insulators. A photograph of the assembled apparatus is shown in Figure 20. 61

(a) Image with both a. c. and (b) Image at ''null"; d. c. d. c. balance. balance, a. c. unbalance.

(c) Image after insertion of (d) Image approaching null. nulling voltage.

Figure 21.Shonka electrometer fiber image. 62

III.EXPERIMENTAL PROCEDURE

Shonka Chamber and Electrometer System

The Shonka electrometer is nulled with the string grounded and the sensitivity set, using the calibration position on the power supply, to approximately one mV per minor scale division.The electro- meter is then set approximately one major scale division off a. c. balance for ease in determining the d. c. null condition (Figure 21-b). The string is then ungrounded and the drift time determined for a given preset null voltage as follows: Moving the grounding switch off the fiber contact usually results in a d. c. signal induced and a slight off null jump in the fiber image. As charge is collected due to the ion current, the fiber image will pass through the null position.At that instant the timer (stop watch) is started.A. known bucking voltage is then inserted using the potentiometer (Figure 21-c).The voltage used has been 400 mV.This value gives a collection time of from two to three minutes for background rates.Inserting this voltage results in a drastic off null fiber image. Ascharge due to the ion current is built up, the fiber drifts toward the null condition (Figure 21-d). When the image again passes through the null condition,the timer is stopped.This then gives the time required to collect a chargeequiv- alent to that applied with the nulling voltage.The charge collection rate can then be calculated (mV/sec) and this valueis then divided by 63 the sensitivity (mV /sec /µr /hr) to give the dose rate iniar/hr in tissue.

Fiberglass Chamber- Victoreen Electrometer System

The Victoreen 475 Femtometer is a dynamic capacitor electrom- eter with rate of charge measurement and voltage ranges from 3 mV to 30 V.When used with an external feedback capacitor (and nulling voltage), the built-in feedback elements are removed by setting the scale multiplier to the charge position and connecting the feedback capacitor between the input and feedback terminals.Using the nulling technique permits measurements of the charge accumulated on the capacitor irrespective of other capacitances (electrometer input, coaxial cable, ionization chamber, etc. ) in the circuit. For background measurements the electrometer is set on the most sensitive scale,3 m V,and the instrument zeroed with the input shorted. Removing the short results in a contact potential kick and a resulting negative meter deflection.As charge is collected due to background, the meter will drift towards zero.At zero, the timer is started.The voltage range is then switched up scale, the polarity reversed, and a known nulling voltage is applied with the potentiom- eter.The voltage used has been 80 mV.This gives a collection time of about three minutes for background rates.As charge continues to be collected the meter will drift towards zero.The voltage range is switched down scale until the most sensitive scale is reached (3 mV). 64 When the meter crosses zero the timer is stopped.The charge col- lection rate is determined and divided by the sensitivity of the instru- ment to give the dose rate in p.r/hr in tissue. 65 IV. EXPERIMENTAL RESULTS

The results obtained in the measurements of background radia- tion are presented in Figures 22 and 23.These curves show the dose rate in tissue (micro-rads per hour) as a function of time in days. All measurements were made in a laboratory on the second floor of Waldo Hall (X-ray and Science and Engineering Laboratory), Oregon State University.Dose rates which were contributed by sources in the laboratory are represented by broken lines. Figure 22 shows the results obtained with the Shonka chamber and electrometer system. Measurements were made over a period extending from December 14, 1967 to June 10, 1968.Each point represents an average of at least 5 readings. Neglecting the contribution from other than natural sources, the dose rate was relatively constant over this period.The 95% confi- dence interval for the mean dose rate during this time was deter- mined to be 7.73 ± 0.10 p. rad/hr. An interesting development occurred in late December when a sharp increase in the background level was noted (designated by (1) in Figure 22).A significant increase was first observed on December 27th (11.24 p. rads/hr; this represents an increase of about 45% over the mean value that was obtained for normal background).This level remained relatively constant through the 28th (11.43 p. rads/hr).At 14.0

13.0

12.0

11.0 I (6)

i 1 9 I(5)1 /1 10.0 9 i 1 , I II I,I / \ , , , / \ 9.0 , ,I II 'I / \ I I \ I/ \ 8. 0

7. 0 (1) Fallout due to detonation of nuclear device by Chinese on Dec. 24,1967. 6.0 (2) Two radium sources in downstairs laboratory in lead box of about one halfvalue layer. (3) One of the sources in (2) moved to a stock room about 30 or 40 feetfurther away and the other to an office about 20-30 feet further away. 5.0 (4) One radium source in downstairs laboratory without lead box. (5) Radium source in (4) placed in lead box of approximately onehalf value layer. 4. 0 (6) 100 kilovolt x-ray unit being operated one half of the time duringwhich measurements were taken.Unit in laboratory across the hall about 30-40 feet away. 3. 0

I I I I I I I 0 I 1 1 1 20 13 1 1 1 Dec Jan Feb Mar Apr May June Figure 22Dose rate as a function of time with theShonka chamber. Waldo hall, 2nd floor, Oregon State University.For a period covering from December 14,1967 to June 10, 1968. 67 10:00 A.M. on the morning of the 29th a slight drop in the dose rate was recorded (10. 46 1J, rads/hr).At 3:00 P. M. in the afternoon of the same day, the level had returned to normal(7. 67 p, rads/hr).Investi- gation of this increase due to sources in the laboratoryproved nega- tive.It was suspected that this increase was due to fallout from a nuclear device detonated by the Chinese on December 24, 1967 (U. S. Public Health Service, 1968a).Through correspondence with the Radiation Alert Network (RAN) of the U. S. Public Health Service (1968b), it was learned that a significant increase (by a factor of about 100) in the gross beta radioactivity of particulates in air was reported from the monitoring station in Seattle, Washington on December 30th and 31st.2This increase was attributed to fallout from the Chinese device.Considering possible time variations due to locality and sample preparation, it appearsthat the increase re- corded with the Shonka chamber was in fact due to fallout.

As shown by (2),(3),(4),(5), and (6) in Figure 22, the Shonka system proved quite effective in detectingwhen various radiation producing sources (notably a 100 kilovolt x-ray unit andradium sources) in the laboratory were being used or movedabout.

2Values of 26.8 and 28.0 pico-curies per cubic meter wereobtained for these 2 days respectively. An alert isreported by the monitor- ing station to RAN when the field estimateexceeds 15 pico-curies per cubic meter. 68 The results obtained with the fiberglass chamber-Victoreen electrometer system are presented in Figure 23.The 95% confi- dence interval for the mean dose rate was found to be 7.96 0.21 rads/hr for the period extending from July 22 to July 29, 1968.The mean dose rate recorded with theShonka system over the same period was 7.73 0.07 p, rads/hr.The effect of a radium source and a 100 kilovolt x-ray unit are also shown forboth systems (designated by (1) and (2) in Figure 23 respectively). 14. 0 O 13.0

12. 0

11.0

10. 0

9.0

8.0 0

7.0 Fiberglass System 0 6, 0 Shonka System

5. 0 (1) Radium source in lead box of approximately one half value layer placed in laboratory about 30 feet away. (2) 100 kilovolt x-ray unit being operated total time during which measurements were made.Unit located in laboratory about 30-40 feet away. 4.0

3.0

0' 22 23 24 25 26 27 28 29 Time (Days of the Month for July, 1968) Figure 23.Dose rate measurements with fiberglass chamber system, Waldo Hall, 2nd floor, Oregon State University. From a period covering July 22nd to July 29th, 1968. 70

V.DISCUSSION

A comparison was madebetween the dose rates determinedwith fiberglass chamber using thecalibration technique, with those pre- dicted using cavity theory.In essence, this means comparingthe values obtained for the sensitivityin each case.The sensitivity using the calibration method was found tobe 0.0557 mV/sec /p r /hr.To make a comparison of this valuewith that provided by theory, a correction for leakage in the systemmust be made.The leakage was found to be 0.03185 mV/sec.This voltage rate is subtractedfrom the voltage rate used indetermining the sensitivity and acorrected value is calculated.This value is equal to0.0518 mV /sec /µr /hr. An exact determination ofthe sensitivity using cavitytheory was not possiblebecause the chamberdimensions were such that it did not fall into the "thick"and "thin" category discussedin Chapter

II.According to Roesch (1968a)the chamber probably has.a"thick" wall, but the cavity is anintermediate between "thick" and"thin. " The problem is furthercomplicated by the non-uniformityof the chamber wall and the fact thatthe exact composition of thewall is not known. However, as a firstapproximation it can be assumedthat the cavity is "thick" (Roesch,1968a).Using Table 1, page 38,the dose rate in tissue, for a"thick" cavity (air) and"thick" wall, is given by 71 d5 dDtissue(11k/P )tissue air dt dt (laki P )air

is 1.11.Therefore The ratio (lak/P ) tissue/(P'k/P )air dDtissue tissue 1.11 air dt dt where dD. air (W/e) I' (W/e C ( dV/dt) air - )air dt Lin and 'Am P air 3) = (.001293gm/cm3)(38.85x103cm = 50.4 gm @ STP (W/e)air = 33.7 x107 ergs/coulomb

= 100 pf = 100 x10-12f The dose rate in tissue is then given by -12 dDtissue(1.11)(33.7 x107)(100x 10 )(dV/dt) ergs dt 50.4 gm-sec)

dD tissue 10-4dV ergs dt = 7.44 x dt gm-sec dV ergs 1 rad 7.44 x10-4dt gm-sec' 100ergs/gmi -6 dV rads = 7.44 x 10 dt sec dVp, rads = 7.44dt sec where V is in volts and t in seconds.If V is expressed in millivolts and the dose rate in micro-rads per hour, 72 dDtissue 26.81dV p, rads dt dt hr The sensitivity is determined by taking the ratio of dV/dt over dD/dt. This yields dV/ dt _ 0.0373mVm /sec Sensitivity =(dD /dt) µr /hr tis sue This value must be corrected to the temperature and pressure at which the calibrated value was obtained (KTP =--1. 075).Thus Sensitivity =0.0373 0.0347mV/sec 1.075 µr /hr It is seen that the calibrated value for sensitivity, 0.0518 mV/ sec /µr /hr, is about 50% higher than the theoretical value.Even though the theoretical value is an approximation, an error of this magnitude is not expected.It was at first thought that the leakage in the system may have increased.However, it was noticed that as the dose rate went up (see (1) and (2) in Figure 23) the fiberglass cham- ber readings were considerably lower than those with the Shonka chamber.The fiberglass chamber appeared to become less sensitive as the dose rate increased.To investigate this behavior further, the sensitivity at various dose rates (up to approximately 4 times back- ground) were determined utilizing a radium source.The results are shown in Figure 24.There is definitely a decrease in sensitivity as the dose rate increases. An explanation for this behavior has not been determined.Two possibilities have been investigated and elimi- nated:(1) that the Shonka chamber was in error and (2) that the . 06

05

.04

Theoretical value using cavity theory

,03 0 5 10 15 20 25 30 35 Dose Rate ( grads/hour)

Figure 24.Sensitivity versus dose rate for the fiberglass chamber. 74 fiberglass chamber was no longer in the saturation region as the dose rate increased. The Shonka chamber was checked by using a radium source and observing whether the dose rate decreased as the inverse square of the distance. A positive result was obtained.The same procedure was followed with the fiberglass system.Negative results were obtained.As the source was brought closer to the chamber the dose rate did not increase as rapidly as predicted with the inverse square law; again confirmation that the sensitivity was decreasing with in- creasing dose rate. That the fiberglass chamber was still in the saturation region at dose rates 4 times background was shown by theoretical compu- tations (using the equation provided by Boag, page 44) and by experi- mental determination of the collection efficiency.The chamber voltage was raised from 90 to 180 volts and no increase in collection efficiency was noted up to 4 times background. It must be concluded that for a calibration at a particular dose rate level, the fiberglass chamber is accurate only over a very short range.It does, however, seem to be a very precise instrument in that the standard deviation in a set of measurement at a particular dose rate is small. A typical value for the coefficient of variation (ratio of standard deviation to the mean value) was 0.013. 75 BIBLIOGRAPHY

Besson, P.1909.Suggested lunar influence on the amount of atmospheric radioactivity.Comptes Rendus Hebdomadaires des Seances de PAcade'mle des Sciences 149:595-597.(Ab- stracted in Science Abstracts 12:no. 2071.1909)

Boag, J. W.1966.Ionization chambers.In:Radiation , ed. by F. H. Attix and W. C. Roesch.Vol. 2.New York, Academic.p. 1-67. Burch, P. R. J. and F. W. Spiers.1954.Radioactivity of the human being.Science 120:719-720,

Campbell, N. N.1904.Ionization of air.Nature 69:511.

Compton, A. H.1933.Geographic studies of cosmic rays.Physi- cal Review 43:387-403.

Cowan, F. P.1952.Everyday radiation.Physics Today 5(10): 10-16.

Ebert, H.1901.Electricity dispersion in higher atmospheric strata.Anna len der Physik 5:718-724.(Abstracted in Science Abstracts 4:no. 1917.1901) Elster, J. and H. Geitel.1900.Ionic conductivity of the atmos- phere. Anna len der Physik 2:425-446.(Abstracted in Science Abstracts 3:no. 2023.1900)

Evans, R. D.1968.X-ray and x-ray interactions.In:Radiation dosimetry, ed. by F. H. Attix and W. C.Roesch.2d ed. Vol.1.New York, Academic.p. 93-155. Fair, D. R. R. and H. Howells.1955. A survey of the natural gamma radioactivity in the West Cumberland area.Journal of Nuclear Energy 1:274-279. Folsom, T. R. and J. H. Harley.1957.Comparison of some natural radiations received by selected organisms.In:The effect of atomic radiation on oceanography andfisheries. Washington, D. C.p. 28-38.(National Academy of Sciences. Publication no. 551) 76 Geiger, H.1913.Method of counting alpha and beta rays.Deutsche physikalishe Gesellschraft, Verhandlungen 115(13):534-539. Cited in:Rossi, B.1964.Cosmic rays. New York, McGraw- Hill.p. 59)

Geiger, H. and M. Milner.1928.Mode of action and construction of a counter tube.Physikalishe Zeitschrift 29:839-841.(Cited in:Rossi, B.1964.Cosmic rays. New York, McGraw- Hill.p. 32-33)

Gockel, A.1910.Observation of atmospheric electricity from a balloon.Physikalishe Zeitschrift 11:280-282.(Cited in: White, H. E.1958.Descriptive college physics.Princeton, D. Van Nostrand.p. 405)

Grosh, D. S.1965.Biological effects of radiation.Waltham, Blaisdell.293 p.

Gustafson, P. F., J. Kastner, and J. Luetzelschwab.1964. Environmental radiation: Measurement of dose rates.Sci- ence 145:44-47.

Hess, V. F.1912.Measurement of the earth's penetrating radia- tion on seven balloon asensions.Physikalishe Zeitschrift 13: 1084-1091.(Cited in:Rossi, B. 1964.Cosmic rays. New York, McGraw-Hill.p. 1-2)

Hess, V. F., W. D.Parkinson and H. A. Miranda.1953.Beta ray ionization from the ground.(Fordham University Depart- ment of Physics.Scientific Report no. 4)(Cited in:Lowder, W. M. and L. R. Solon.Background radiation--a literature search.1956.p. 27-28.U. S. Atomic Energy Commission. NYO-4712)

Hess, V. F. and R. P. Vancour.1950.Ionization balance in the atmosphere.Journal of Atmospheric and Terrestrial Physics 1:13-25.

Hine, G.J. and G. L. Brownell.1956.Radiation dosimetry. New York, Academic.932 p.

Hulqvist, B.1956.Studies on natural occurring ionization radia- tion.Svenska Vetenskapsakedemiens, handlingar (4), 6:no. 3. (Cited in:Lowder, W. M. and L. R. Solon.Background radiation--a literature search.1956.p. 27-28.U. S. 77

Atomic Energy Commission. NYO-4712) International Commission on Radiological Unitsand Measurements. 1962.Radiation quantities and units: Report 10a,'Washington, D, C.8 p.(U. S. National Bureau of Standards.Handbook 84)

KolhOrster, W.1914.Penetrating radiation at high altitudes. Deutsche physikalishe Gesellschraft, Verhandlungen16 (14): 719-721.(Cited in:Rossi, B. 1964.Cosmic rays, New York, McGraw-Hill.p.7) KolhOrster, W. and W. Bathe.1929.Nature of high altitude radia- tion.Zeitschrift far Physik 56:751-777.(Cited in:Rossi, B.1964.Cosmic rays,New York, McGraw-Hill.p.30)

Johns, H. E.1964.The physics of radiology.2d ed.Springfield, C. C. Thomas.767 p. Johnson, T. H.1933.Azimuthal asymmetry of the cosmic radiation in Mexico City.Journal of the Franklin Institute 215: 749 -753. (Abstracted in Science Abstracts 36:no. 3516.1933) Lapp, R. E. and H. L. Andrews.1964.Nuclear radiation physics, 3d ed.Englewood Cliffs, Prentice Hall.413 p.

Lemon, H. B.1936.Cosmic rays thus far.New York, W. W, Norton.128 p.

Libby, W. F.1955.Dosages from natural radioactivity andcosmic rays.Science 122:57-58. Lowder, W. M. and L. R. Solon,1956.Background radiation--a literature search.43 p.(U. S. Atomic Energy Commission. NYO-4712) McLennan, J. C. and E. F. Burton.1903.Some experiments on the electrical conductivity of atmosphericair.Physical Review 16:184-192. Millikan, R. A. and I.S. Bowen.1926.High frequency rays of cosmic origin.Part I.Sounding balloon observations at ex- treme altitudes.Physical Review 27:353-361. 78 Millikan, R. A. and G. H. Cameron.1926.High frequency rays of cosmic origin.Part III.Measurements in snow-fed lakes at high altitudes.Physical Review 28:851-868.

1928.Synthesis of elements out of positive and negative electrons.National Academy of Sciences, Proceed- ings 14:445-450.

Neddermeyer, S. H. and C. D. Anderson.1937.Nature of cosmic rays.Physical Review 51:884-886.

Nicholson, W.1797.Description of an instrument which renders the electricity of the atmosphere and other weak charges very perceptable without the possibility of an equivocal result. Journal of Natural Philosophy, Chemistry, and the Arts. 1: 16-18.

Regener, E.1931.Penetrating components of cosmic radiation established by absorption measurements in Lake Constance and spectrum of cosmic rays.Nature 127:233-234.

1933.Absorption curve of ultra-radiation and its explanation.Physikalishe Zeitschrift 34:306-323.(Cited in: Rossi, B.1964.Cosmic rays. New York, McGraw-Hill. p. 8-12)

Roesch, W. C.1968a.Battelle-Northwest, Richland, Washington. Personal communication.Corvallis, Oregon. May 29.

1968b.Radiation dosimetry manuscripts.(In preparation)

Rossi, B.1964.Cosmic rays. New York, McGraw-Hill.268 p.

Rutherford, E., J. Chadwick and C. D. Ellis.1930.Radiations from radioactive substances.London, Cambridge University Press.587 p. Rutherford, E. and H. L. Cooke.1903.A. penetrating radiation from the earth' s surface.Physical Review 16:183. Shonka, F. R., G. Failla and J. E. Rose.1964. New electrom- eter of high sensitivity.The Review of Scientific Instruments 35:1046-1049. 79

Shonka, F. R., J. Kastner and J. E. Rose.1963.Muscle-equiva- lent environmental radiation meter of extreme sensitivity. Science 140:1100-1101.

Sievert, R. M.1956.Measurements of low level radioactivity, particularly the gamma from living subjects.In:Proceedings of the International Conference on the Peaceful Uses of Atomic Energy.Geneva, 1955.Vol. 13.New York.United Nations. p. 187-195.

Sievert, R. M. and B. Hultqvist.1952.Variation in natural gamma radiation in Sweden. Acta Radiologica 37:388-398.

Trout, E. D.1968.Professor of Radiological Physics, Oregon State University.Personal communication.Corvallis, Oregon. Feb. 3.

United Nations.General Assembly.1962.Radiation from natural sources.In:Report of the United Nations Scientific Committee on the Effects of Atomic Radiation, 17th session, sup. no. 16, Geneva.p. 207-224.(A/5216)

1966.Radiation from natural sources.In:Report of the United Nations Scientific Committee on the Effects of Atomic Radiation, 21st session, sup. no. 14, Geneva.p. 13-35.(A/6314)

U. S. Public Health Service.1968a.Reported nuclear detonations. Radiological Health Data and Reports 9:62.

1968b.Radiation surveillance network.Field estimates-gross beta radioactivity of particulates in air. (4 sheets) National Center for Radiological Health, Standards and Intelligence Branch.Washington, D. C.

Weidner, R. T. and R. L. Sells.1960.Elementary modern physics.Boston, Allyn and Bacon.513 p.

White, H. E.1958.Descriptive college physicsPrinceton, D. Van Nostrand.483 p.

Wilson, C. T. R.1901a.Leakage of electricity through dust free sir.Cambridge Philosophical Society, Proceedings 11:32. 80 1901b.Ionization of atmospheric air.Royal Soci- ety of London, Proceedings 68:151-161.(Abstracted in Science Abstracts 4:no. 1507.1901)

1911.Method of making visable the paths of ioniz- ing particles.Royal Society of London, Proceedings, ser. A, 85:285-288.

Wolfendale, A. W.1963.Cosmic rays.London, Charles Birchall. 222 p. Wulf, T.1907. New Electrometer.Physikalishe Zeitschrift 8: 246-248.(Abstracted in Science Abstracts 10:no. 1987.1907)