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PHYSICAL PRINCIPLES
Signal Generation
Changing how the world
looks at MR
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nuclei, protons and spins
signal generation
longitudinal relaxation T1
transverse relaxation T2
exitation and relaxation
relation between T1 and T2
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nuclei, protons and spins
signal generation
longitudinal relaxation T1
transverse relaxation T2
exitation and relaxation
relation between T1 and T2
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ATOM
proton
positive charge
neutron
no charge
elektron
negative charge
water atom
proton
nucleus
signal generation
nuclei, protons and spins
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Proton
signal generation
nuclei, protons and spins
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electric charge
+
rotation
+
magnetism
signal generation
nuclei, protons and spins
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electric charge
+
rotation
signal generation
nuclei, protons and spins
magnetism
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X
Y
Z
summed
magnetization
signal generation
nuclei, protons and spins
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X
Y
Z
signal generation
nuclei, protons and spins
summed
magnetization
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X
Y
Z
signal generation
nuclei, protons and spins
summed
magnetization
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X
Y
Z
signal generation
nuclei, protons and spins
summed
magnetization
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0,01 Tesla
0 Kelvin = - 274 C
o o
signal generation
nuclei, protons and spins
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20 Celsius
o
5 ppm
0,5 Tesla 1,5 Tesla
15 ppm
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
signal generation
nuclei, protons and spins
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B0
Precession
Larmor frequency
signal generation
nuclei, protons and spins
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B0
f0 =  x B0
f = frequency
 = constant of isotope
B = magnetic field
signal generation
nuclei, protons and spins
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signal generation
nuclei, protons and spins
fo (0.5 T) fo (1.5 T)
21.3 MHz 42.6 MHz 63.8 MHz
20.0 MHz 40.1 MHz 60.2 MHz
8.6 MHz 17.2 MHz 25.7 MHz
5.7 MHz 11.3 MHz 17.1 MHz
5.4 MHz 10.7 MHz 16.1 MHz
1
H
19
F
31
P
23
Na
13
C
Nucleus o (1.0 T)
f
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signal generation
nuclei, protons and spins
1
H
19
F
31
P
23
Na
13
C
Sensitivity
1
0,83
0,066
0,093
0,016
Nucleus
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nuclei, protons and spins
signal generation
longitudinal relaxation T1
transverse relaxation T2
exitation and relaxation
relation between T1 and T2
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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X
Y
Z
B0
Mz
net magnetisation
and
90° pulse
signal generation
exitation
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net magnetisation
and
90° pulse
X
Z
B0
Y
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
Y
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
M
signal generation
exitation
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net magnetisation
and
90° pulse
X
Y
Z
B0
Mxy
signal generation
exitation
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nuclei, protons and spins
longitudinal relaxation T1
transverse relaxation T2
exitation and relaxation
relation between T1 and T2
signal generation
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
relaxation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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radio
frequency
receiver
transmit
coil
radio
frequency
transmitter
signal generation
exitation
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X
Y
Z
Bo
Mo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Bo
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
signal generation
exitation
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X
Y
Z
Bo
M0
signal generation
exitation
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X
Y
Z
Bo
M0
signal generation
exitation
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nuclei, protons and spins
longitudinal relaxation T1
transverse relaxation T2
exitation and relaxation
relation between T1 and T2
signal generation
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longitudinal relaxation T1
Spin - lattice relaxation
signal generation
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X
Y
Z
Bo
Mo
time
Mz
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
time
Mz
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
time
signal generation
longitudinal relaxation T1
Mz
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X
Y
Z
Bo
time
Mz
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
time
Mz
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
time
Mz
signal generation
longitudinal relaxation T1
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X
Y
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Bo
time
Mz
signal generation
longitudinal relaxation T1
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time
Mz
T1
definition T1:
the time that a tissue needs to regain 63% of its original magnetisation
63%
signal generation
longitudinal relaxation T1
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X
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Bo
Mo
signal generation
longitudinal relaxation T1
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X
Y
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Bo
X
time
S
time
Mz
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
X
time
time
Mz
S
signal generation
longitudinal relaxation T1
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X
Y
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Bo
X
time
time
Mz
S
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
X
time
time
Mz
S
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
X
time
time
Mz
S
signal generation
longitudinal relaxation T1
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X
Y
Z
Bo
X
time
time
Mz
S
signal generation
longitudinal relaxation T1
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nuclei, protons and spins
longitudinal relaxation T1
transverse relaxation T2
exitation and relaxation
relation between T1 and T2
signal generation
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transverse relaxation T2
Spin - Spin relaxation
signal generation
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
signal generation
transverse relaxation T2
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X
Y
Z
Bo
Signal
signal generation
transverse relaxation T2
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X
Y
Z
Bo
Signal
signal generation
transverse relaxation T2
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X
Y
Z
Bo
Signal
signal generation
transverse relaxation T2
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X
Y
Z
Bo
Signal
signal generation
transverse relaxation T2
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X
Y
Z
Bo
Signal
dephasing
signal generation
transverse relaxation T2
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S
time
Free Induction Decay signal
FID
T2*
signal generation
transverse relaxation T2
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T2
S
T2
63%
definition T2:
the time that passes untill 63% of the original signal has been lost
time
signal generation
transverse relaxation T2
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Bo
signal generation
transverse relaxation T2
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X
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Bo
transmit
coil
radio
frequency
transmitter
signal generation
transverse relaxation T2
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X
Y
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Bo
transmit
coil
radio
frequency
transmitter
180º
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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X
Y
Z
Bo
180º
signal generation
transverse relaxation T2
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180º
refocusing pulse
signal generation
transverse relaxation T2
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180º 180º
refocusing pulse
signal generation
transverse relaxation T2
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T2 envelope
signal generation
transverse relaxation T2
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in conclusion:
• T1 relates to magnetisation
• T2 relates to signal
signal generation
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nuclei, protons and spins
longitudinal relaxation T1
transverse relaxation T2
exitation and relaxation
relation between T1 and T2
signal generation
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0
time
100
Longitudinale and Transverse
Relaxation:
90
o
signal generation
relation between T1 and T2
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0
time
100
Longitudinale and Transversale
Relaxation: at the same moment
90
o
magnetisation
signal
signal generation
relation between T1 and T2
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short T1
0
time
100
90
o
90
o
signal generation
relation between T1 and T2
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short T1
short T2
0
time
100
90
o
90
o
signal generation
relation between T1 and T2
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long T1
0
time
100
90
o
90
o
signal generation
relation between T1 and T2
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long T1
long T2
0
time
100
90
o
90
o
signal generation
relation between T1 and T2
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0
time
100
90
o
repetition time
TR
90
o
signal generation
relation between T1 and T2
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0
time
100
90
o
90
o
echo time
TE
signal generation
relation between T1 and T2
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0
time
100
90
o
90
o
signal generation
relation between T1 and T2
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0
time
100
90
o
90
o
signal generation
relation between T1 and T2
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0
time
100
90
o
90
o
signal generation
relation between T1 and T2
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signal generation
relation between T1 and T2
T1 contrast
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time
90
o
longitudinal relaxation = magnetisation
signal generation
T1 contrast
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time
90
o
magnetisation cannot be measured!
signal generation
T1 contrast
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time
90
o
signal generation
T1 contrast
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time
90
o
90
o
signal generation
T1 contrast
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time
90
o
90
o
signal generation
T1 contrast
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time
90
o
90
o
signal generation
T1 contrast
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time
90
o
90
o
signal generation
T1 contrast
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time
90
o
90
o
signal generation
T1 contrast
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TE 10 ms TE 30 ms TE 40 ms
TR 400 ms
signal generation
T1 contrast
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T1 weighted images:
TR short
TE short
< 600 ms
< 25 ms
signal generation
T1 contrast
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Fat bright
bone marrow
white matter
muscle
grey
body fluids
bone
air black
grey matter
TR < 600 ms TE < 25 ms
i.v.contrast
signal generation
T1 contrast
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signal generation
T1 contrast
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Glioblastoma
T1 T1 with Gadolinium
signal generation
T1 contrast
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signal generation
T1 contrast
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T2 contrast
signal generation
relation between T1 and T2
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time
90
o
90
o
signal generation
T2 contrast
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time
90
o
90
o
signal generation
T2 contrast
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time
90
o
90
o
signal generation
T2 contrast
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time
90
o
90
o
signal generation
T2 contrast
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time
90
o
signal generation
T2 contrast
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time
90
o
signal generation
T2 contrast
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time
90
o
signal generation
T2 contrast
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time
90
o
signal generation
T2 contrast
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TR 2500 ms
TE 20 ms
TE 60 ms
TE 100 ms
TE 140 ms
signal generation
T2 contrast
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T2 weighted images:
TR long
TE long
> 1800 ms
> 80 ms
signal generation
T2 contrast
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signal generation
T2 contrast
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signal generation
T2 contrast
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T1 T1 + KM
T2
signal generation
T2 contrast
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signal generation
T2 contrast

_3 very important.ppt