By S. Kevan

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I'hus the interactions between IIlOlecules must be similar in liquids and gases , althouqh in a crystalline solld they a re very dif f erent . This distinetion is emphaslsed by the symmetry changes yhich accompany phase trans ltions. Whe n a crystal melts a loss of symmetry occurs but no symmetry change accoqpanles vapour l sation oE a l i quido Indeed the only clear distinction between a liqui~ and a dense gas i5 thst the formar is bounded by a surf ace tha t has one f ace which is not defined by a container.

6 (dotted Fl g. 2. l1ne) Compar lson oE f {Qa) f or spheres the siza of proteln and water mol ecules. VI. 3 . l s of oolecular structure and the calculat ion of I{Q} can be simplified . 4 . , n CO(Qa) R (VI. 4) whece CO (x) 1s defined ln equation v. 5 and the sphere contalos n electrons Now FeQ) already has spherical symmetry ~nd 15 rea l ; according t e Section II. ) the i otensity sca ttered by the sphere 15 F (Q). The intensity sc~ttered by an ideal gas oE N spheres is then obtained by ~ddi nq the intensity contri bution from each ie.

Lf Then The interference funct ion . S(Q), c an be calculated froro the structure of these irregular systems. Such structures are described by a radial distribution func tion, g(r), which 1s the probability of f i nding another molecule at a given di stance fram an arbitrarily chosen molecul ar centre. S(Q) 1s re lated to g(r) by a Fourier transfarmation . If the molecular structure 15 known. S(Q) can be calculated fram I(Q) - g(r ) can then be obtained by inverse transformation. Because o f the errars which may be introduced by inverse transformation , it is preferable to develop a model for g(r), calculate S(Q) and compare the result with that observed.

### Angle-Resolved Photoemission - Theory and Current Appln by S. Kevan

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