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PHYS01200704032 Debes Ray - Homi Bhabha National Institute

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d/d (Q) (cm -1 )<br />

S(Q)<br />

P(Q)<br />

Chapter 3: Multi-Technique Approach for Characterization of Gold Nanoparticles<br />

(a)<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

(b)<br />

0.0<br />

1.2<br />

1.0<br />

0.8<br />

0.6<br />

0.4<br />

0.2<br />

(c)<br />

0.0<br />

0.5<br />

0.4<br />

0.3<br />

0.2<br />

0.1<br />

0.0<br />

0.001 0.05 0.10 0.15 0.20 0.25 0.30 0.35<br />

Q (Å -1 )<br />

Figure 3.11. Typical curves for (a) P(Q), (b) S(Q) and (c) dΣ/dΩ(Q).<br />

(ii) Spherical Shell (Core-Shell Particle)<br />

The form factor for spherical shell with inner radius R 1 and outer radius R 2 (= R 1 + t), where t<br />

is thickness can be obtained by subtracting the empty core of radius R 1 from sphere of radius<br />

R 2 with proper weighting by the volumes. P(Q) for spherical shell is written as [180,181]<br />

73

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