v “2‘— .- 1".“‘5 ‘ .THS. THE EFFECT OF THICKNESS OF SUPPORTING FILMS FOR THIN TARGETS USED IN X-RAY INTENSITY MEASUREMENTS TIxasIs for the Dogree of M. S. MICHIGAN STATE COLLEGE Norman Lisle Fritz I942 MUCH TATE UNIVERSITY LIBRARIES IIIIIIII II I IIIIIINIIIIIII 1 3 1293 0170 4766 PLACE IN RETURN BOX to remove this checkout from your record. TO AVOID FINES return on or before date due. MAY BE RECALLED with earIier due date if requested. DATE DUE DATE DUE DATE DUE ' "“"1‘A-o ._ -“.. ’3 \‘Ju \) f.‘ ’14 L4 J'— .— Varir-v‘l l .1 v. I A. “'4 - v-—l-\ ~—. ,1 . --,’ ‘- ng H I-] .r‘ --s I." -v- A vo-‘vv—Qv c r~. ~~ - —~, .av-v‘ v‘uT:*—v 1 .— . -‘ "I I"' .—_ .‘ ’I I ;__, ’. 1 . v- .TT H\. v; .J...;.A.J.LX..._IULJ ~r‘ L/‘I. E‘-.-.~_L. .4 Ail—u.” __ x - . —_ .r. ~. vv‘ -. t'- *T '7‘ 3'. 1‘? 1: TT;~. A) I . \.r_f ',.'\‘.-' .‘fi— "\' A1x~'—\I—_-.‘ NJ , kg“ - 5‘6 ‘5 -u“..g_ cvq»I-.«1‘y»-.-— fi-‘r - —v1 [ va-‘ua. ..~‘.' 1"".‘4 , , -. I r] ,1, . 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I V f" -& '1 L -1 : L3 L1 v.1 u-IY'WQT" -. a. x. -L'- ,.'I.: .. w. ’37) 'r 16.j'f XL Ly“) .f.‘ I ~ “I OHS O ("‘1 0.5. 1‘ ‘ I _W at .LV...” - I This thesis concerns the measurenoit of ass olute x-rav intensities of the continuous x-ray spectrum, ani a comparison of the experimental values with theory. The best available theory con cerr inQ this subject is that due to San er (1). It is shown that the intensity of x-ray radia tion produced when electrons interact with nuclei is dependent on several factors, namely, the energy of the incident electron, the angle of ohser— vation from the direction of the incident electron, the atomic number of the bombarded nucleus and the frequency of the radiation emitted. Due to the mathematical diffi— cult7 in treating the more complex cases, the theory is eased on tlze assumotion that a single bombarding H16 tron C’- interacts with an isolated nucleus of an atom of he target material to produce an x-ray quantum. It can be seen that the *umntion regariid the isolated nucleus ‘ will be more closely approximated tne fewer the number of atoms present in the x-ray tube target. However, tar;ets of the thinness necessary to aooicviiatc the theory are not self-supporting, and consesuentl‘r a hacking material nust be used on tiiich the taréet iaterial is deposited. Since it is desirei to find only the effects nroducei by the tar*et atoms, and not the backing material, it is necessarr that the effect due to the backing material in the path of th incident electronseither be nebii ioly small, or hat it be a known quantity in order tha a correction for it may be made. In previous work on the measure:f ent of ass olute x—ray intensity, H. R. Kelly (2) and A. F. Reno (3), us i cello lane as the tar et backing material. Their basis for using this n1ate1ial was that when a tar o consisting merely of the back in; material, and no de- _osited metal, was placed in the x-ray tube, no measur- able quantity of x-ravs were pro oduced under the same conditions of tube current and volta the experiment with the deposited metal on the tarfist. however, with electron currents of one Eundred times normal, x-rays were produced, but the intensity was so small as to result in no detectahle cnan e in the value he so :n that the target material Eléjt produce two metallic film, both of whien would cause more K-rays to r—~’ be produced than would \rJ 1 0 m7. 'v . _ - ””71 .., 1. - ,5} - +3, .L ‘ rne CLlSis its? this; sece;ni asznihntitli is {niat t. _ > ‘\ 1m ‘x - r 's 4' " ‘. ‘. \ ‘ .' ‘- r "‘ " ’r‘ '. ness 91 tne rachin; material is steroiimatelv live intensity of x-ravs produced varies rou5hly as the stuare of the atomic number for the li5ht elements, and (2) the density of cellspnane is small, which im— fact that the results of Reno (3) and Kelly (2) are somewhat hi5her than he theoretical values, it was to conduct experiments to llnd what effect the backin" material has, and if possiale to find this quantitatively, in order that the more usaole, , and these values {11 thicker backinr material mi5ht be us e corrected to values that would be co itained if no caekin5 J. ma'erial were present. TLEFG are two methods of attackin5 the problem t ‘1‘ :11- y.) H O p. ,__J H- 6' OJ (D C L4 his eXperiment. The first would be to use one thicaness sf hackin" material and to deeosit various thickn sses Oi metallic film, to measure the x-ray intensity from these various targets, and then from a granh of intensity versus tar5et thickness, to extrapolate the curve to zero thickness of Net All film. This consequently results in the effect of having only the bachin5 material. ihis wroced ure has three major ShOTtCOflil”S. The first is that as the hickness L) L‘ of the film is increased, b Ow y. T) ‘; aerot_nation to the theory of the electron strikin5 a sin5le atom is decreased. The second is that the method used aere (4) for the teaszrenent of the thickness of the film cannot be used for the scall thicknesses necessarv for accurate extranelation of the curve to the zero thickness of metallic film. ind the third is that the thinner film mama: so SHALL A QUANTITY OF x-RAYS A: To wouldAgreatly decrease the ac curacy of any results obtained. The second method of attackin5 the problem, and the one used in his work, is to, as nearly as nossible, use one thickness of net allic film which can be easily and accurately measured, and which will produce a sufficient quantity of "-ravs,and vary the thickness of the oachin5 material. From a curve of x-ray intensitv a5ainst bach- v The disadvanta5e in usin5 this method lies in the fact that the thinner backin5 material is relatively weak and therefore will not stand Up well in the tube. ?ut it has the added advanta5e that it is ea sy to var;.r the thicknes ss of the 03 ckin5 material, and tar5ets with - ' .0 1 ° 1- .. , A “A. .. J. different thicaness3s ale quicll1 construCted. it was decided for this work to use f ‘_ '_‘ . _. _~ V. .anfnesses of machin5 material, one of the: h c nmercial cello phane used in the previous experiments, for comparison purposes, aLd nesses of another ma erial to he descri oed later. A set of four tar5ets, one o coated by the same eve aeration with a thin film. This would give th sane thickness of t mate rial and anv variation in results f1:: tar5ets would be due to tie back n5 material ”‘7 1'1 ‘Y'j~vfif‘ «T w-V'Kv' r'uyf II J.‘ .L-JVLXA- IC hLJ .LJ $6.2]ng V; D *‘b 5-3 Sauter's izeorv A. Discussion 0 For the theoretical work with W1 $14 tal results are c spare , an equation ceve Q yv4 C; I , 1 1.) WELL} U584. CO C. C" (D "S H it represents the lis work was used be a relatively comnlete relativistic tress,ent of oroblen. in s theorv is based on the as le honbardin; electron of known total an isolated atom, which may result in the a quantum of continuous x-ray encr5y at a - - ,.,l ' a — +1. GUClCJ and a certain ez' t al aane. I". 4'. 1‘. .9 ‘v (‘( 1 ’ lne equations 5iven 3y sauter, which for this exnerinent, are the following: energgr Iros t co olete re esult of tleory, ‘ tiie .4- J" . ’\.; C“ 53'le bit/L1 O .1. a I rfi'. pp ’\ + 0dr dliiEY‘eI’lc .‘ ‘ 5 7 OLLJ the experi:1en- loned by cause to date hein5 ‘ O strixin' C) p O 6 a 1__ 2 a 2 q a 1 a. ‘1de = % £3 0(4){(3£c ij‘ggrrbc 5/M9—~ 2:0 *‘C-‘f’, fl _EQ£2 205%...58‘1‘06 é :‘C8 + CPa 3"(A/JC05‘9'10100) 2A. 1f“GF 173‘“ 1C1 El.“ +45%" £1,“ fiinfl-clbacaseafPI-OGE; g +1.06? [- MC +C HflfQE And/WW [pfcmfl)mc:m6- W£'-nn.C¢-<:fzp aufll°xc4 +3EW-I/Eofltdmcq1tC4/‘z p _@£+c“n),4::cose] flicaf’ofk l/C-IOM'I tral PBHQG is: (.2le Z)‘ fife 2fl3(z 1Jn*2 (£130 .-/(/-/0_ )fl :hls results in the final equation: (2170(2)” JAG/A) = Jud) ’6’6° (can) 3.....——-— 77“ z 2 __Iz___o(7—) (22.” “° “X/fi’: " 2“. n- . + 3. .-' ‘1 ‘m ‘ ~~ linal equation blVGS Jami») ab tne energy ‘ v V1 . " < Q ' . a .-«‘ rv ,- et, mnere OULCTJQCLCIS ale gale at an ass of the electron 1r“ t Q“ Velocity of 11 rs- a 1., w .93. ‘ .2 ... ‘ 4. distance 0. the ceiinlnQ aperture Iron the x-rey target w . - I!\ 1 -0 ‘vx r-‘AJ‘ y‘\‘—~ . . Atonic nuDJer Ol tne taroeu waterlal Initial total energy of tne 1co1.1179.V.“-:;1in5 electron 0 .L. 0 ‘5 1y. 4. , z» , .._., . ,~".' . ,_ Inlblflj.;Mln8EbUE oi txxuoaplln | O O r ¢ , .) c’f' E :5 O F: in ,_ . J. tzic qut;itLun ‘P‘f emittei quantum With g o \J ent electron direCLi n 1 ,_ ». . . P, + Z «— 2 pl 005 G- oy definition iatio of velocity of incigent electron to ixfl'faf light Eatio of velocity of electron after collision to that of light Ea (l-IGO 0039-) 03 structure constant b O Pn‘) }_l ,3 0 These lust two are derived in the followin“ \) ulku-L;&U‘. I ‘C‘ E " WC- 7“ M01 a. '- / - (a) VI - __U_"_, 41-" ct l— __...... from (a) m____:___Cq C ["- 51 ] shicn suostituted in (b) gives: 1 1 mqu] z p... ME " E“ -15... 1&1 /../_4 \0 From Comoton and Allison (5) the A absorption limits for the A; and Cd used in the loss balanced foils are: A Nd ( 1‘: limlt) = 4.63.13 XU U Q ~. N x 1018 see”1 CO V05. ( K lil‘flit :5.._r72 4)A~ ( K limit) = 6.187 O X 1018 sec"1 O\ These give a mean frequency between the K absorp- tion limits of: " v” 'z -18 __ x1) 3 ”Cd 1] 9‘5 :: 00/302 X 10 sec 9. I ) $1; I 2 u m 0 (0 kn r O 4‘ .p- >4 H O H _.\] (D (D O H £4) = 4.1996?) x 10‘8 ergs x 10‘12 ergs 2f 2 -ES— - 1.40092 x 10-18 gm-cm/sec. For electron energies of 36.7 and 41.74 K.V. the values of .Ifildud are taken from calculations by A. F. Reno (3): r‘ I 4' fi-‘i. vv' ( .6 . r ness OI oacniiquwate1ial was concerned. IV E":'A?CFLA’IICIT CF ALIT-..'IITUL.I CI? 3; CELII‘IG L3 C) F”) :0 The evapor.a tio .lun1inun onto the t9 Hr et was 1 _.| HQ :5 L...J *3 H. O r.3 l._J cc rried out in a cv glnss tank with steel ton 1‘1‘ u‘v‘ 9 \J 1. size 14 te', ; Yr cotton U11 q and tile with tested 1.). 1’1 C 1131-. .{-- e ischar: d \ ‘le ticeau ’10 st. . C and U. y- 811-711“ -5 7 \J c 3 O-i'lie 37‘ $.L Hto EZVC‘Z'OOI1 y. r. a...) Y ' an a 1‘. I n . .L POL". Yf‘. l nu TI“. 1. 1‘8 x.) alt we AA volta .L P"! (‘5 o“ O . 0 hi Lb .ents placed near the be Yh A. 1eter Y‘ .- yfi LJ. 1 ero he .qn u i .L in t surrounded 4. um mole- seven } ‘ O ww t — II'J... '11 Tl ‘. elv L, luml J. L. iddle, a AAA 7‘“ q ..; Ly "“I .h C .1 the a a?) n r o x in V931“ - '1 .‘u- nstructed 3C. ( b nu 9% V v holder v .1 U .-A fix .1. I’IU 5 UFO V3. 0.1 n e. o . ... C "v. _ -L. 0 .,~ A.$ _‘ v V' (llLUL‘lJ. RU «erfer- us AL Vlas .fi , , . l J. ‘ k ’C. :1 :11" -’ O \ a ‘71“0 C CCL ‘ ‘ “I V d .C‘ L I n.- 4-- an w l C‘ LJ A. K) J AQV 'oohane or m 1’; q .1 b or ta c f T315; (3 o 8. U o e f and l 7". AA, \ .L O .1 4.1 L.-- rt .1 wk, de% '3 to ave f‘ HY.) L.) (xv V. (-1 n . A -l 1“ 1-4 ’1‘. W \‘J . L1 slate. . L.. In order 4. 1.- electrical connev HQS .eter holder 0 an It 1 “taka the: o I '. “’1 " - f 7 (‘1 A 1'3", )1" '1' J .’ ‘7 . 4" "\ v '. . - 11rd its Mlutfl was C‘MLuqu over the alunin ized surface in the center re3icn of he plate. It is 9 M - . L 1- - 7 .- . ‘.- J- u A " ,. - - 4.x: innortant that care oe taken that the ed3es of this 1 - ‘ ‘fi 1 ‘-- ‘L‘h‘ - 4 -. - " +‘1' ~ 7'“ “" ‘ /‘ strip be as SLQOLL as coss hle. It was then ce outed ‘ v, ‘I- ,-‘ . f -D J-‘Dr‘ ‘ 05115 at tile 63-135 Oi tL.--* Q '1 1 A ,1 p 1 1 ° , , ‘ ,3 ," r‘”... :. would he culled Olf when the mica was TGthpdo .nis v ' 1 .‘ - . “ 1’: . ~ 4‘ " v .A ‘ + " -" . 1“. ‘ "‘7 ‘ f‘ ' . ‘ was zy3ain rfljrc l lr1 one enwrddraci.A1 cnallhsc alurr,wuitn ~1. -' . + a “L 1%; A J- -— P '“r‘. q 3“. ,. ”.4; ‘ - ‘ . tne four oar Ws to ca Coao‘d. :u- the slot use; in (D ,.J ,_ (“F m C D P.) {.3 L._J e :4; P. W (D ;3 C: 0 fl 7J0 :5 (‘1‘ O C + {51‘ W (L) O (D ’9 (:3 }_J *4 ( D I d L L.) U‘. \o c “.0... . J- v _ . J. _- ‘ QiliWPQKt eJQQCfflolOflS. ' ~ -~. -- v'. p . 5‘ . V. MUQSUEBQCHt cl Thic ‘ r" '. 7-.- » , o 1 ,- AluLinul gilms A. Method From the orecedin3, it can be seen that the outer two—thirds of the interferometer plate received an C’- H. addi onal coatinz of aluminum equal to the tar3et thick— ness while the center section, protected by the mica strip did not. Unon removal of the mica strip, it can oe seen there results an interferometer plate with two reflectin3 surfaces, at a distance 01 the thickness of ter \ E, g. A 71:1 (31"1 -‘A J." I ‘- ter 1 111 I I 7 on _-DJ- C31". . g ‘1 Acgl 3} e I &‘ ~ L‘ L. a each 0 l" out in o. ('1 ll -9 I) ‘1' r) . S e e k u.” n C n e 0 e T t y C 2 O u 0 m h P t h 0 h .1 .. l 1 .l L .1 e .1 .l . e t e e t m . l e h P t. O n e r C t f W. to t i . a .l 1.1. t . o P P 9 +V G T C O % l .c. 0 e e n 2 v... 1 n). S O Q n i e .l h .3. a mi V J Liv W... LU ow; ".0 0 F4.“ 8 t t D; S U. 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J (.1 $3 Freeter frnet iox kz‘ " " ,~.. 0 . 4- .r ‘ v r‘ -. fl 1 '0. 1 p, 1 ./\ green line, lSOlRoEl 3* QULtaole lllters ..: tee mono— 0 1 W. 4.9. . - ‘I- ‘- .. .— .0 “ »-. f. .1 J- .- fi "- 4" A.- enrolat-o source, 3 A10 need o. oewosloeq 111. o. 30'A will produce a (W :3 fl 1) 0 rr HI . I (D *‘5 I) B {.4 C w H. L). t ‘2.) :" C) 4 (D }_.I (D :3 C c+ I) O H) \ ‘1 5‘ ;. " b (‘9‘ i3. I.-.) H r_ (U .. tively, the mean weighted u ”-1 "' ‘ 'D “am" “I‘d . 'w - 7::3 -’Z A ' ’. . ' " '." 1’1 ’-' \“\ ane_ethn 0. “Alt. lb A .- ,- A. VOPflan fllterb ACbo O 584 or 58?12rm351:;.1r1fi transmisslon at A = :600A, 1 4.1 w o 1 7f—) o 13 will refuse one only ot :1er llne near tne .A = 2934A ;;an3( A = 3341.) to about 1/12 the intensity of the A = EQDAA QFQUp. rT“'he mercury arc usei for the source Lee the COOper- hewitt laboratory ace TVoe K212330, QUEItZ b’lb unit w ‘L f‘ \ ‘ F'. . a l‘ ,.. ,—. . ‘ f. 3... .. Y’", , (j ._ ' Jle“ P f or D.o. mean 2.2 deepee. AD oompap-l to the 4. , ,n- . - . 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A. : a. __ __ _. fl. ._ _. _. __ _. ._ __ ._ __ _. : ._ .. __ 1 _ _ ._ __ ._ ._ __ ._ __ __ .. __ __ ._ __ ._. __ __ ._ ._ __ .. .. ._ .. .. _.. g ._ ._ ._ __ ._ .. ._ ._ ._ ._ ._ __ ._ ._ ._ ._ _. _. ._ __ ._ __ __ __ ._ __ ._ __ ._ ._ __ __ : __ ._ ._ ._ , :_.,_._....,_:: .__ _. _. .. ._ _. __ .. ._ __ : _. ._ __ ._ _. __ _. __ .. _. .. : ._ : ,_ ,m 35.__._.....___..____...__. .- _.__:a_ __ _. ._ ._ ._ __ 4 _, .. ._ __ _. _. _. .. __ .. ,_ _. __ __ fl. _. __ __ ._ _. __ __ ._ __ 6 FIGURE 21 m‘ ' V‘? fir" ‘v - 7‘ A inc naner has tnen renovel O H H. .3 can a ain te seen by referrin; t- .”. Irv" 4-‘-~, I ’. '9" h ‘Vfi ‘ -. 1 ’2‘ 4 ‘ -- rs 14' /-1 — «r; “113,851 UL$FOL1_~Ih ne Inflfixo on OH”: {.2148 Of til": bL-C‘O , pa " ‘4 ‘ '2 ,. 1 w 1‘. H." ‘1‘ 1*. - v~ ’\ 4:" -. ‘zvr ‘ to tne fringes, OJer throuya tn- system UL mares on the .1 V . A- . .1 - _ H ‘ , ,' . , ,.._ ‘ . ,. ., 1.“ ,. le ox the step . 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