analisi fine della materia disordinata - cnrold.isc.cnr.it/ita/activity/firenze/zoppi.pdf ·...
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![Page 1: Analisi fine della materia disordinata - CNRold.isc.cnr.it/ita/activity/firenze/Zoppi.pdf · Analisi fine della materia disordinata • Personale CNR: – Marco Zoppi primo ricercatore](https://reader033.vdocuments.site/reader033/viewer/2022060413/5f116719bf48a5739073ae55/html5/thumbnails/1.jpg)
Analisi fine della materia disordinata• Personale CNR:
– Marco Zoppi primo ricercatore– Ubaldo Bafile ricercatore– Lorenzo Ulivi ricercatore– Milva Celli ricercatore– Daniele Colognesi ricercatore
• Collaboratori– Francesco Grazzi Assegno di ricerca– Alessandra Giannasi Dott. Ricerca– Giacomo Corradi Borsa di studio CNR
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Descrizione del gruppo• Base culturale comune: Fisica dei Liquidi
– Struttura microscopica - potenziali intermolecolari– Dinamica microscopica - proprietà di trasporto
• Caratterizzazione: sperimentale– Spettroscopia ottica
• Scattering Raman (livelli inter- e intra-molecolari)• Scattering di Brillouin (modi idrodinamici)
– Spettroscopia e diffrazione, neutronica e X– Simulazione (MC, MD, PIMC)– Fisica delle Alte e Altissime Pressioni
• Impegni (tempi brevi):– strumentazione avanzata per neutroni– immagazzinamento di Idrogeno
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microscopic structure and dynamics of fluids
positions motions
potentials
simulation
pressure
density analysis
diluted gasesliquids
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microscopic structure (and dynamics) of fluids
molecular crystals
ultra-high pressure(Mbar)
multi-componentsystems
neutronsX-rays
structural transitions
diffraction
D.A.C.
NIMROD
positions motions
simulation
potentials
density analysis
diluted gasesliquids
pressure
INES
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microscopic (structure and) dynamics of fluids
D.A.C.
collectiveself
neutron scattering
I.R.absorption
motionspositions
simulation
potentials
density analysis
diluted gasesliquids
pressure
incoherent coherent
light scattering
X-ray scattering
TOSCA Density of States
multi-componentsystems
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a neutron scattering experimentincident neutron 00 , kE
rh
scattered neutron 11 , kE
rh
energy transfer 10 EEE −=
momentum transfer 10 kkk −=
)cos(2 102
120
210
2 θ−+=−= kkkkkkk
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neutron diffraction (k0 = k1)
)cos1(2 20
2 θ−= kk
[ ]π
σ+−
πσ
=⎥⎦⎤
⎢⎣⎡Ωσ
41)(
4totcoh kS
dd
]1)([1)( −+= ⋅∫ rgednkS i rkr
-4 -3 -2-1
01
23
4 -4-3
-2-1
01
23
4-3
-2
-1
0
1
2
3
4
( )∑ −⋅−=lj
i jleN
kS,
1)( RRk
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Problem: the structure liquid Hydrogen• the most abundant element in the universe• the simplest atomic system• the simplest molecule
• no structural information until 1989: why ?
• molecular hydrogen carries 2 electrons only• practically invisible to X-rays
• neutrons?
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hydrogen and the neutronsneutron cross section: inccohscatt σ+σ=σ
barn76.1=σcohproton coherent cross section:
barn91.79=σincproton incoherent cross section:
much better situation for deuterium
barn60.5=σcohdeuton coherent cross section:
barn03.2=σincdeuton incoherent cross section:
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quantum Boltzmann liquids: structure of deuterium
0 5 10 150
1
2
3
4
Experiment Intramolecular cont.
dσ/dΩ
(bar
n/m
olec
ule)
Q(A-1)
0 1 2 3 4 5 6 70.0
0.5
1.0
1.5
2.0
2.5
EXP. PIMC NWB PIMC LJ
S(Q
)
Q(A-1)
M. Zoppi, U. Bafile, et al.:P.R.B 48, 1000 (1993)P.R.L. 75, 1779 (1995)P.R.E 54, 2773 (1996)
Exp.:SANDALS @ ISIS
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liquid hydrogen structure
0 1 2 3 4 5-1.0
-0.5
0.0
0.5
1.0
1.5
S(k)
-1
k(Å-1)
0 2 4 6 8 10 12 14 16 180
1000
2000
3000
4000
5000
6000
Cro
ss S
ectio
n (a
rb. u
nits
)
k(A-1)
M. Zoppi, M. Celli, A.K. Soper, Phys. Rev. B 58, 11905 (1998)M. Celli, N. Rhodes, A.K. Soper, M. Zoppi, J. Phys. Cond. Matt. 11, 10229 (1999)M. Zoppi, U. Bafile, M. Celli, ... et al.: J. Phys. Cond. Matt. 15, S107 (2003)M. Celli, U. Bafile, ...., M. Zoppi, Submitted to PRB, Oct. 2004.
• meanwhile, from X-ray experiments (ESRF):• G. Pratesi, D. Colognesi...et al.: Philos. Mag. B 82, 305 (2002)• ... G. Pratesi, D. Colognesi...et al.: J. Low Temp. Phys. 129 117 (2002)
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microscopic (structure and) dynamics of fluids
D.A.C.
collectiveself
I.R.absorption
neutron scattering
D.I.N.S.
motionspositions
simulation
potentials2-body, 3-body
density analysis
diluted gasesliquids
pressure
incoherent coherent
light scattering
X-ray scattering
TOSCADensity of States
multi-componentsystems
collectivemotions
light scatteringX-ray scatteringneutron scattering
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Collective dynamics of fluidsModel
developmentTheory
( ) ( ) ( )∫ ∑ ∑=∞+
∞− = =
⋅⋅−− N
α
N
β
tiitωi βα eeN
edtπ
ωS1 1
0121, RQRQQ
SimulationScattering
experiments
in the case of neutrons
( ) ( )⎭⎬⎫
⎩⎨⎧ += ωS
πσωS
πσ
kk
ωdΩdσd ,
4,
4 sinccoh
0
12
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( ) ( )( )
( )( ) ( )
( )( ) ( ) ⎥
⎥
⎦
⎤
⎢⎢
⎣
⎡
+−
−−+
++
+++
+
−= 222
s
s2
222s
s2
22T
2
2T
21
211,
ΓQQcω
QcωbΓQγΓQQcω
QcωbΓQγQDω
QDγγ
πQSωQS
memory function approach:
Rayleigh-Brillouin
triplet
light scattering
( ) ( ) ( )∫ ′−′′t
ttQFtQMtdtQF0
,, on depends , &&&
M(Q,t) tells how much past history affects the fluid dynamics, and for how earlier time
( ) ( ) ( )QτteQAtQM −=,
•Small Q and ω:
• the fluid “has time” to relax towards equilibrium, with viscous dissipation
•Large Q and ω:
• the fluid behaves as an elastic(disordered) solid
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Neutron Brillouin Scattering
With increasing Q we enter a dynamical regime that can be explored with neutrons only:
“neutron Brillouin scattering”or small-angle inelastic coherent scattering
Q ≈ 1 - 10 nm-1 E ≈ 1 meV
U. Bafile et al., PRL 65 , 2394 (1990)Ô / ps-1
S(Í,
Ô) /
ps
S(k,ω
) / p
s
ω / ps-1
←⎯ argon density
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X-ray Brillouin scatteringAt slightly larger Q or E, X rays too come into play, thanks to recent advances in high-resolution inelastic scattering
Liquid AluminiumT. Scopigno et al., PRE 63 , 011210 (2000)
Liquid SiliconS. Hosokawa et al., JPCM 15, L623 (2003)
Liquid SodiumT. Scopigno et al., PRE 65 , 031205 (2002)
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M. Sampoli et al., PRL 88, 085502 (2002)
MD simulation
“Fast sound”in binary mixtures:
He0.65 - Ne0.35
He-NeU. Bafile et al., PRL 86, 1019 (2001)
neutron scattering
cmix = 400 m/s
cHe = 534 m/s
cmix = 400 m/sP. Westerhuijs et al.: PRA (1992)neutron scattering
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microscopic (structure and) dynamics of fluids
D.A.C.
collectiveself
I.R.absorption
neutron scattering
D.I.N.S.
motionspositions
simulation
potentials2-body, 3-body
density analysis
diluted gasesliquids
pressure
incoherent coherent
light scattering
X-ray scattering
TOSCADensity of States
multi-componentsystems
selfmotions
incoherentinelastic
neutron scattering
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Main incoherent INS regimes
22motion diffusive
andlow :
QD∆E
EQ
sh=
⇒QENS
)()1)((),(
n correlatio-autovelocity andmedium :
2
EfE
EnQEQS
EQ
Bself
+≈
⇒INS
kEMQ∆E
EQ
32355.2recoil free
andhigh :22h
=⇒
DINS
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INS: velocity auto-correlations in H2 and H2+D2
)(Fourier t.(0)(t):
)(fitapprox.Gaussian ),( :
11 Ef
EfEQSself
⇒⇒⋅
⇒⇒⇒
vvSimulation Dynamic Quantum
INS
D. Colognesi, M.Celli, M. Neumann and M. Zoppi, Phys. Rev. E (2004) in press
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Extension to solid systems: from LiH to CsH
70 80 90 100 110 120 130 140 1500.00
0.01
0.02
0.03
0.04
0.05
LiH, Optic
Z H(hω
) (m
eV-1)
hω (meV)
DDM13, (Dyck & Jex, 1981) SM-IV, (Verble, Warren & Yarnell, 1968) TOSCA-II (Colognesi et al., 2002)
40 60 80 100 120 140
0.000
0.025
0.050
0.075
0.100
Z H(E
) (m
eV-1)
E (meV)
LiH NaH KH RbH CsH
( )∑ ∑∈ =
−=FBZ
r
jjEj
NEZ
qqqσ
3
1
2HH ),(),(
31)( ωδ h
J. Boronat, C. Cazorla, D. Colognesi, and M. Zoppi, Phys. Rev. B 69, 174302 (2004).
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microscopic (structure and) dynamics of fluids
D.A.C.
collectiveself
I.R.absorption
neutron scattering
D.I.N.S.
motionspositions
simulation
potentials2-body, 3-body
density analysis
diluted gasesliquids
pressure
incoherent coherent
light scattering
X-ray scattering
TOSCADensity of States
multi-componentsystems
high pressurescience
I.R. absorptionlight scatteringX-ray scattering
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High pressure science
•• Fundamental physics (hydrogen metallization)Fundamental physics (hydrogen metallization)
• Molecular crystals (phase diagrams)
• Polymerization → Metallization
• Mixtures (stoichiometric compounds)
• Earth Physics (internal core, rocks melting ...)
• Planetary atmospheres (Jupiter, Saturn, ... )
• Material science (ultra hard complex materials)
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Diamond Anvil Cell
our membrane cell
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High pressure HydrogenFree rotor approximation holds up to high pressure: hcp(J is a good quantum number).Increasing pressure:
Freezing of rotational dynamicsOrientational transitions observed at 120-150 GPa(1.2-1.5 Mbar) in para-H2
Eventually,molecular identity is lost ~350 GPa→ metallization
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Internuclear distance of hydrogen
0 50 100 150 200 250 3000.73
0.74
0.75
0.76 May et al. 1961 Moulton et al. 1988 Ulivi et al. 1998 free molecule solid low density Loubeyre et al. 1991 this work
Solid5 K
gas297 Kr m
(Å)
density (mol/l)
346 348 350 352 354 356 358 360 362
28.1 nm-3
32.0 nm-3
Inte
nsity
(a.u
.)
Raman shift (cm-1)
• collective rotational excitations
• 3rd order perturbation theory
Rotational Raman Scattering in fluid and solid H2 at room temperature.P= 0 - 20 GPa (0 - 200 kbar): gray dots
L. Ulivi, M. Zoppi, L. Gioè, G. Pratesi, Phys. Rev. B58, 2383, (1998)
Solid hcp:
F. Grazzi, M. Moraldi, L. Ulivi, Europhys. Lett. in press
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stoichiometric compounds:Ar(H2)2, Ne (He)2, CH4 (H2)2, He(N2)11 , ...
Almost free rotation of hydrogen molecule
300 400 500 600 700
S0(1)S0(0)
6 GPa30 K
Frequency shift (cm-1)8 hydrogen molecules per unit cellL. Ulivi, R. Bini, P. Loubeyre, R. LeToullec, H. Jodl: Phys. Rev. B 60 6502 (1999)F Grazzi & L Ulivi Europhys Lett 52 564 (2000)
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Rotons in Ar(H2)2 – anisotropic potential
2 3 4 5 6
-0.5
0.0
Inte
ract
ion
ener
gy (c
m-1)
Intermolecular distance (Å)
0.1
1
10
100
Norman-Watts-Buck Diep-Johnson Schaefer- Köhler this work
V202
V224
H2-H2
250 300 350 400 450 500 550
Frequency (cm-1)
P=14 GPa
F. Grazzi, M. Santoro, M. Moraldi, L. Ulivi,. P. R. L. 87, 125506 (2001)F. Grazzi, M. Santoro, M. Moraldi, L. Ulivi, P. R. B 66 144303 (2002)
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Solid Oxygen: x-ray diffraction (ESRF)
•• Only the Only the αα phase phase exists at low exists at low PP andand TT
Molecule association:Molecule association:SpectroscopySpectroscopy
MagnetiMagnetic Properties:c Properties:SpeSpecctroscoptroscopyyNeutron DNeutron Diffraiffractionction
F. Gorelli, M. Santoro, L. Ulivi, M. Hanfland Phys. Rev. B 65 172106 (2002)
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IR absorption in the ε-phase
100 200 300 400 500 6000.00.20.40.60.81.0
νFIRε−phase
295 KGPa
48
4337
3126.618.1
10.5
11.7
14.7
Abso
rban
ce
Frequency (cm-1)
O2 + O2 → O4
F. Gorelli, L. Ulivi, M. Santoro, R. BiniPhys. Rev. Lett. 83 4093 (1999)Phys Rev B63 104110 (2001)
Physics Today, Dec. 1999 p.9
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Solid oxygen: magnetic properties
1500 1600 1700 18000.0
0.2
0.4
2.55.1
6.6
23 K
Abs
orba
nce
Frequency (cm-1)
0.0
0.5
1.0
1.5ε−phaseP (GPa)
7.5
8.0
0
200
400
0 5 10
T
Pαα'? δ'?
δ
γ β
fluid
IR absorption:• The evidence of a
forbidden vibrationalexcitation is induced by the magnetic interactionwhich doubles the elementary cell.
F. Gorelli, L. Ulivi, M. Santoro, R.Bini,Phys. Rev. B62, R3604 (2000).
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Solid oxygen: high pressure neutron diffraction
Experiment:LLB, G6.1sapphire anvil cell
Different magnetic order betweenα− and δ−phase
I.N. Goncharenko, O.L. Makarova, L. Ulivi, Phys. Rev. Lett. 93, 055502 (2004)
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Prospettive a medio-lungo termine :sistemi complessi
Prospettive a breve termine:• Immagazzinamento dell’Idrogeno (EU-FP6)
– materiali nanoporosi (nanotubi di carbonio)– idruri metallici (diagnostica neutronica)– idruri metallorganici (neutroni, luce, H.P.)
• Strumentazione neutronica avanzata– Progetto INES (in fase di completamento)– Progetto NIMROD (EU-FP6)
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H-storage in carbon nanotubes:where is hydrogen?
Internal site
External surface External channel
Interstitiale site
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neutron diffraction experimentSANDALS @ ISIS
0 1 2 3 4 5 6 7 8 9 100.2
0.3
0.4
0.5
0.6
0.7
0.8
0.9
1.0
1.1
1.2 empty nanotubes nanotubes + D2
DC
S
Q(A-1)
From the differences in the two diffraction patterns we will obtain information on the C-D correlation.
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CNR-CCLRC international cooperation• 1991-1995 SERC-CNR agreement for access to ISIS
5% utilization level:- (4%) Access + (1%) Instrument: PRISMA
• 1996-2001 First renewal (CCLRC-CNR)5% utilization level:- (4%) Access + (1%) Instrument: TOSCA
• 2001-2004 Italian Neutron Experimental Station(INES)50% utilization level for CNR(in progress, commissioning early 2005)
• 2002-2008 Second renewal (CCLRC-CNR)4% utilization level:- (3%) Access +(1%) Instrument: NIMROD
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The TOSCA project (1996-2001)
CNR investment3.2 GLit. = 1% of ISIS
An international cooperation between CNR and CCLRC(UK)ISIS pulsed neutron sourcewww.ifac.cnr.it/tosca/tosca-main.htm
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The INES project (2001-2004)
Within the framework of the international cooperation between CNR and CCLRC(UK)ISIS pulsed neutron sourcewww.ifac.cnr.it/ines/ines-main.htm
•CNR investment:600 keuro.
•reserved utilization:50 % for Italians
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The NIMROD project (2004-2008)
Within the framework of the international cooperation agreement (2002-2008) between CNR and CCLRC for the utilization of the ISIS pulsed neutron source
CNR investment1560 k-euro ~ 1% ISIS
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grazie della vostra attenzione !