toolkit examples - magician.ucsd.edumagician.ucsd.edu/sio190/lectures/archaeomag_l12.pdf · toolkit...
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Toolkit
Examples
1
Environmental magnetism
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ToolkitImages
Critical temperatures, e.g., Curie T
magnetic susceptibility
magnetizations
grain size dependence
useful ratios
2
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highT
windblown
secondaryalteration
industrialpollution
cosmic
(300 um)
Images
Chapter 8
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4Chapter 6
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5
Chapter 6
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6
Chapter 6
Curie T and composition
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magnetic susceptibility
reflects concentration, magnetic grain size and magnetic mineralogy
is quick (cheap) to measure
when calibrated, can be used as proxy for more expensive measurements
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8
Chapter 8
pollution detection
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Magnetic remanences
Isothermal remanence (IRM)
Anhysteretic remanence (ARM)
Gyromagnetic remancence (GRM)
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But first
a tutorial on hysteresis loops
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Lots of math in Chapter 5 shows that there will be a field of sufficient energy to flip the moment of a particle with easy axis aligned at an arbitrary angle to the applied field.
called the flipping field. the maximum flipping field is the intrinsic coercivity discussed before
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B (mT)
! 1
2 3
4
m
B1
m
B2
m
B3
m
B4
a)
µ Hf"
B
Chapter 5
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5
m
B5
B (mT)
!b)
µ Hf"
Chapter 5
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State 2
State 3
B
B = 0
State 1 B = 0 M=0
State 4B
M=0
M=Ms
M=Mr
Mr
Ms
IRM
!lf
2
3
14
µ Hc"
descend
ing
ascending
µcr"
a)
B (mT)
Assemblages of (SD) particles
Note - figure in book is wrong - see errataChapter 5
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So far, we have only considered uniformly magnetized particles
But big particles have BIG self energies
for highly magnetic particles like magnetite, self energy quickly exceeds other energies keeping things mutually parallel (exchange) or aligned in particular crystal directions (anisotropy)
so spins in larger particles begin to have more complex structures
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SP
“vortex”“flower”dom
ain walls
Particle width (nm)
Mr/
Ms
1.0
0.8
0.6
0.4
0.2
0.0
0 40 80 120 160 200
Can model spin alignment - need big computers with lots of memory, called micromagnetic
modelling
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• Even bigger particles develop regions of uniform magnetization separated by domain walls
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b) a) W
W
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40 µm
20 µma)
domains can be imaged
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-0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0 B (T)
-3
-2
-1
0
1
2
3
!lf
!hf
Ms Mr
µ Hc"
µ H!cr"M/M
s
Chapter 5
Some definitions
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Chapter 8
hysteresis loops of mixtures
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Mr
Ms
IRM
B (mT) Pulse Field (Tesla)
IR
M I
ntensit
y (
Am
2)
Mr
µoH
cr
Two ways to give IRMs
Chapter 5 Chapter 7
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Neat application
Coercivity (mT)
Applied Field (mT)
µ H1/2
DP
LAP
GAP
Isot
herm
al R
eman
ent
Mag
neti
zati
on
o
Chapter 8Thursday, May 19, 2011
ARM - what’s it good for
Strong function of concentration (particle interaction)
Strong function of grain size
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ARM
/sIR
M
Bdc (mT)
increasing concentration
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0.01 0.1 1 10 100 1000Grain size (µm)
10
1
0.1
0.01
! ARM
Chapter 8Thursday, May 19, 2011
Ratios (and differences)
Mr/Ms versus Hcr/Hc
ARM versus magnetic susceptibility
S (IRMx/sIRM or fraction that is “soft”, x) and HIRM (sIRM-IRMx or fraction that is “hard”)
see Table 8.2 in the book for more....
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0 5 10 15 20 25
Hcr/Hc
0.0
0.1
0.2
0.3
0.4
0.5
0.6
0.7M
r/M
s
-0.8 -0.6 -0.4 -0.2 0.0 0.2 0.4 0.6 0.8 1.0
B (T)
SD
“PSD”
MD and SP
Hysteresis ratios
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Examples
detection of environmental change
detection of biogenic magnetite
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Magnetic Susceptibility
Anh
yste
reti
c Re
man
ence
onset of Agriculture
baseline
decreasing grain size
little ice age
Banerjee et al. 1981 Chapter 8Thursday, May 19, 2011
60 100 140 180
Zr (ppm)0.40.2 0.6 0.8 1.0
Ti (Wt %)10-2 10-1 100
mSI
20
18
16
14
12
10
8
6
10-1 100
HIRM A/m
Magnetite Content
HematiteContent
Detrital Input
Pollen Zone
D(Warm)
C(Cold)
B(Warm)
A(Cold)
!
Dept
h (m
)
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chains of biogenic magnetite have aligned
[111] axes
get enhanced FC IRMs
because choice of [100] axis on cooling is not random
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sIRM
(nA
m /
l)
0 50 100 150 200 250 300Temperature (K)
800
900
1000
1100
1200
1300
1400
2
FCZFC
is:
0 50 100 150 200 250 300Temperature (K)
180
200
220
240
260
280
300
320
340
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1.0 1.5 2.0 2.5
FC ZFC
-5.0
-4.5
-4.0
-3.5
-3.0
-2.5
-2.0
-1.5
-1.0W
ater
Dep
th (m
)
! /!
sr
sr
sr
oxic
anoxic
OAIintact chains of SD
magnetite (biogenic)
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Take home message
Magnetic measurements can be quick and cheap to make
Can be used as a proxy for detecting, e.g., industrial pollution, environmental change, etc.
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