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Experiment - 6 Objective : Analysis of gamma energy spectra with Multi-Channel Analyzer (MCA). Sources iytay source: Co6o , Cr"' Scope ofExpt: i) Set PMT voltage dial to around 480 ii) In MCA program, open new file. Set display size to 1024. iii) Put radioactive source (Cru') in front of PMT. Start data taking. Set discriminator level to cut noise part of spectrum. iv) Record spectrum for 10 minutes or so (Statistics should be about - l%.) v) Save spectrum. Calibrate energy of the spectrum by using two points. Channel No & energy to be given. vi) Check calibration by using another source (Cr"') to find energy of some other peak. vii) Find FWHM of peaks and hence resolution of detector for Co60 peaks. viii) Check how the resolution of a peak varies as a function of PMT voltage, by changing PMT dial reading from 400 to 520 in steps of 20. ix) Find relative photo-peak efficiency for Co60 peak by using the ratio of total area of the spectrum to photo-peak area. Theory : Write necessary theory for y-ray interaction with matter. Decay of y-ray sources like Co60 , csl37 s.26 ,uHi*o 55Cs1-37 0,lt nril * " /I 56Bal.37nr 0,661-7 MeV y
Transcript
Page 1: expt6

Experiment - 6

Objective : Analysis of gamma energy spectra with Multi-Channel Analyzer (MCA).

Sources iytay source: Co6o , Cr"'

Scope ofExpt:

i) Set PMT voltage dial to around 480ii) In MCA program, open new file. Set display size to 1024.iii) Put radioactive source (Cru') in front of PMT. Start data taking. Set discriminator level to cutnoise part of spectrum.iv) Record spectrum for 10 minutes or so (Statistics should be about - l%.)v) Save spectrum. Calibrate energy of the spectrum by using two points. Channel No & energyto be given.vi) Check calibration by using another source (Cr"') to find energy of some other peak.vii) Find FWHM of peaks and hence resolution of detector for Co60 peaks.viii) Check how the resolution of a peak varies as a function of PMT voltage, by changing PMTdial reading from 400 to 520 in steps of 20.ix) Find relative photo-peak efficiency for Co60 peak by using the ratio of total area of thespectrum to photo-peak area.

Theory : Write necessary theory for y-ray interaction with matter. Decay of y-ray sources like Co60 ,

csl37

s.26

,uHi*o

55Cs1-370,lt nril*

" /I

56Bal.37nr

0,661-7 MeV y

Page 2: expt6

Experiment

A. Calibration and Determination of Cs137 peak

Chose the two photo peak of Co60 in order to perform this calibration. The first and second photopeaks of Co60 comes at certain channels which corresponded to the energies of 1.17 MeV and

1.33 MeV respectively. Find the channel numbers of the peaks by calculating the position of the

centroid of the peaks. Then calibrate by using the following formula. The Energy of any

unknown peak can be found by :

Ent'r' g 11 :'++ x c' lr tttt rt' I N tttrtltc r

where Ea is the energy (1.17 MeV) of the first point used for calibration at channel no. A. Es isthe energy (1.33 MeV) of the second point used for calibration at channel no. B.

Use the same calibration to find the energy peak of Csl37.

Energy : Energy of unknown peak of Csl37 ,

Channel number: Channel number of unknown peak of Cs137

The Cobult spectrum

Energy 5p ect:'l"l:x *f e*-**

* ii,1 i,Ifl 1t] ;5+ l: ;lr) :s4 ,r* (nr1k1", *uru

$itir ?i'.!,1 7** fi;; s{irH .qlfifl },ffi;4

The following two reference points from the spectrum of Co60 are used for calibration. Fit the

spectra by a Gaussian fit to get the centroid as channel number.

1lt peak : Ch. No. 790 : 1.17 MeV ,2"d peak: Ch. No. 890 : 1 .33 MeV

Page 3: expt6

*,fi&

ilm

?$ffiffi

I

E :,sflfriE

h,efi

s*Q

6

The Cesium spectrum

B. Photo peak efficiency

photo-peak efficiency is defined as the ratio of the area under the peak to that of the area of the

whole spectrum.

Flr rrfapr:*&: eJ,/re'rer?{jlJ ;

Area 1.17 MeV PeakCounts 66080Efficiency 0.0733

Areer u?'bd.er p**Ii:

l['r'tlr:, &tadet. rt*e t*/tole $I)#*Jrfi??l

C. Variation of resolution with PMT voltage

fi*s*Iuf i 0n : Aff F'I,{rf{flf *J 1:**fl;ilr:rufrrm*rJ *./ p**/;

1.33 MeV peak62t560.0690

the whole spectrum901383

Page 4: expt6

The following dataEr, AEr and R1 areEz. LEz and R2 ale

were obtained for the variation of resolution with voltage.for the first Cobalt peak.for the second Cobalt peak.

The plot of resolution us voltage.

{.s{7

t,sls

s.8{t

E o.BiH

t& s.$ls

1,{{*

$.i{,

6..il4{s 4tfr1!1 h1fi $*Itrry (v1

High rroltage(v)m440.0445.0450.0455.0460.0465.0470.0475.0480.0185.0

Er ,18r(x{ev) (\'I*V)1.1700 {1.051}$

1.1?00 il,053*LL?ilu {1.{15:t(}

1.1?il0 {1,{lti?t}

1.1?t)il 0.fi4891.1?{i{l 0.CI541

1.1700 il.U511r..1700 {1,il5?{1. t?il(] {1,{ttr0$

1.1?{}{l 0.*I1il1"17ilil 0.0484

Resolutiorr {r1)

u.0457il.(id{i0{).(i*,53

{}.u,{5?

0,0,{180,046?0.u{3?0.ilI1$0.043.t0.04360.041.1

Ez AE:{X,IeV) (lJ*:Y)1,324ii 0.0.s75

:.;]?4il 0.0552i.3:;]{i {1.01565

1.3:4{i U.0I-r93

1.3230 il.(i,5?2

1.3?30 0.05471.3230 il.057i31.:323il {1.0538

1.323fi {}.05711,3230 0.il5601.3220 0.015152

Rt s,:hrtic,n (r'2)

0.il4340.il41711.042?

{1.0448

0.il43:0.fi4130.0437{1.O{fi7{1.043?

il.04?3{t.il{1s

J.l "-"+*rt -+il*

I

I

Conclusion : Write your conclusion on the above observations.