Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States

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Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States H o anti-parallel parallel Alignment Energy E = h H o Efficiency factor- nucleus Constants Strength of magnet

description

Efficiency factor- nucleus. H o. Alignment. Energy. parallel. D E = h g H o. Constants. Strength of magnet. anti-parallel. Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States. Two spins. All spins  Sum. Bulk Magnetization. excess facing down. - PowerPoint PPT Presentation

Transcript of Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States

Page 1: Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States

Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States

Ho

anti-parallel

parallel

Alignment Energy

E = h Ho

Efficiency factor-nucleus

Constants Strength ofmagnet

Page 2: Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States

The Classical Treatment:Nuclear Spin Angular Momentum

Ho

anti-parallel

parallel

Torque + int. motion = precessionPrecession around Z axisLarmor frequency ():E = hHo E = h= B0

=

Two spins All spins Sum

Bulk Magnetizationexcess

facingdown

Page 3: Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States

Pulse Fourier Transform NMR

Ho Ho

90ºx RF pulse t

= H0

f FourierTransform

NMR frequency Variation of signal at X axis vs. time

t

A

=

Page 4: Spin ½ Nuclei in Magnetic Fields Occupy One of Two Energy States

The Power of Fourier Transform

90ºx RF pulse t

1

1 = H0

2 = H0

f FourierTransform

+

2

NMR frequency domain Spectrum of frequencies

NMR time domain Variation in amplitude vs time

t

A


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