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Nuclear Magnetic Resonance. ANIMATED ILLUSTRATIONS. MS Powerpoint Presentation Files. Uses Animation Schemes as available in MS XP or MS 2003 versions. A class room educational material. File-8 FT NMR-I. http://ugc-inno-nehu.com/links_from_web.html. Computer memory. Time domain. DIGITIZE.

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slide1

Nuclear Magnetic Resonance

ANIMATED ILLUSTRATIONS

MS Powerpoint Presentation Files

Uses Animation Schemesas available in MS XP or MS 2003 versions

A class room educational material

File-8 FT NMR-I

http://ugc-inno-nehu.com/links_from_web.html

slide2

Computer memory

Time domain

DIGITIZE

15

Analogue to Digital Converter A.D.C.

11

0

Computer output

FFT from FID

Next Slide

Frequency Domain Spectrum

Computer input

PULSED NMR

Acquire F.I.D.

Free Induction Decay

NMR detection soon after a strong pulse: precessing nuclear magnetization induces a signal in coil when it is free of the perturbing EM radiation

Acquisition is automatically in the digitized form

F.I.D.

This one-dimensional FT NMR spectrum is the same information as the C.W. NMR spectrum

slide3

dimension A(50),B(50),Y(50),X(50)

K=32

open (unit=1, file="output")

Print 10,K

DO 11 N=1,K

X(N)=(N-1)*3.5/K

X(N)=EXP(-1.0*X(N))

Y(N)=X(N)*(COS(2*3.14*(N-1)*10.0/K)+

1 COS(2*3.14*(N-1)*4.0/K))

11 write (1,20) N,Y(N)

DO 12 M=1,K

A(M)=0

B(M)=0

DO 13 N=1,K-1

A(M)=A(M)+Y(N)*COS(2*3.14*(M-1)*(N-1)/K)

13 B(M)=B(M)+Y(N)*SIN(2*3.14*(M-1)*(N-1)/K)

A(M)=A(M)/K

B(M)=B(M)/K

M2=M/2

12 write (1,30) M2,A(M2),B(M2)

10 FORMAT(1x,I2)

20 FORMAT(1x,I2,2x,F10.5)

30 FORMAT(1x,I2,2x,F10.5,2x,F10.5)

close (unit=1)

STOP

END

A program in Fortran for“Fast Fourier Transform”

Digitized FID Signal

Digital Computer

---------------------------------------------------------------------- ---------------------- ------------ - FFT Program run

OUTPUT

slide4

Time domain FID data: 32 points

Real Imaginary 16 data16datapoints points Frequency domainspectrum

slide5

Value between +1 & 0

0

+1

F.T

F.T

COS

Real

SIN

Imaginary

Imaginary

Real

F.T

Arbitrary Phase

Real

Imaginary

t=0

Provision is made in the data processing system, for routinely applying phase corrections

fc cos(2πνt) + fssin (2πνt)

with fc2 +fs2 =1