Small-Angle Neutron Scattering - Kfki

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Monodisperse non-magnetic systems: basic functions approach in contrast variation Contrast ∆ρ = ρ − ρ s H.B. Stuhrmann (1975) average scattering length density of the particle scattering length density of the solvent Mitglied in der Helmholtz-Gemeinschaft shape scattering scattering from density fluctuation r r ρ ( ) = ρ( ) − ρ f
Example: core-shell particles ρ 1 , R 1 ρ I ( q) = n[( ρ ρs ρ ρ Φ qR 2 1 − ) V1Φ( qR1 ) − ( 1 − 0) V0 ( 0)] Φ( x) = 3(sin x − x cos x) / x n is the particle number density 3 V i = 3 ( 4 / 3) πRi ρ 0 , R 0 ρ s ρ = V V V ( ρ 0 0 ρ0 + 1− ) 1 V1 1 ∆ρ = ρ − ρ s Mitglied in der Helmholtz-Gemeinschaft I( q) = nV ( ρ − ρ ) [ Φ( qR ) − Φ ( qR )] + 2 2 2 0 1 0 1 0 + 2 nVV ( ρ − ρ ) Φ( qR )[ Φ( qR ) − Φ( qR )]( ∆ ρ) + 1 0 1 0 1 1 0 + nV Φ ( qR )( ∆ρ) 2 2 2 1 1 Is Ics ( q) ( q) I ( ) c q
Page 1 and 2: Small-Angle Neutron Scattering Mitg
Page 3 and 4: Small-angle neutron scattering (SAN
Page 5 and 6: Small-Angle Neutron Scattering (SAN
Page 7: Contrast variation: basic idea “C
Page 11 and 12: Guinier approximation Guinier appro
Page 13 and 14: Radius of gyration: monodisperse sy
Page 15 and 16: Contrast variation on ribosome 30S
Page 17 and 18: Polydisperse non-magnetic systems I
Page 19 and 20: Polydisperse systems. General case
Page 21 and 22: Modified shape basic function ρ s
Page 23 and 24: Polydisperse systems Intensity at z
Page 25 and 26: Case of two kinds of particles ρ ,
Page 27 and 28: Example: ferritin protein shell, R
Page 29 and 30: For particle of two components with
Page 31 and 32: Effect of magnetic scattering Monod
Page 33 and 34: Effect of magnetic scattering Polyd
Page 35 and 36: Integral scattering parameters 2 2
Page 37 and 38: Magnetic fluids (ferrofluids) Mitgl
Page 39 and 40: Magnetic drug concentrator: idea (S
Page 41 and 42: Magnetic fluids (ferrofluids): spec
Page 43 and 44: Types of ferrofluid stabilization S
Page 45 and 46: Nuclear and magnetic particle form-
Page 47 and 48: Contrast variation on FFs: separate
Page 49 and 50: Contrast variation on FFs: separate
Page 51 and 52: Dependence of match point on q Matc
Page 53 and 54: Mitglied in der Helmholtz-Gemeinsch
Page 55 and 56: Small-angle neutron scattering Pola
Page 57 and 58: Separation of nuclear and magnetic
Page 59 and 60:
Mitglied in der Helmholtz-Gemeinsch
Page 61 and 62:
Summary • Small-angle neutron sca
Page 63:
Thank you for attention! Mitglied i
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Small-Angle Neutron Scattering - Kfki

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