Panda, B C

Ratho, T

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t o  t k o  £ d i t o tThe Board of B ditori doe$ not hold itte lf retponoM e for opM on* tw pruted «n the letter pubUehed in  th is eeot'on. The notes otmUming short reports of original investigations oommw* nieated to this section should not contain many figures and should not exceed 600 tcords in  length. The oontributionf reaching the Secretary by the 16th of any motdh, may be expected to appear in the issue fa r the next month. No prcqf unit be sent to the author.34LOW-ANGLE X-RAY MEASUREMENTS ON AIR-DRIEP AND ALKALI-TREATED MACROMOLECULAR SYSTEMS-WOOLT. RATHO AND B. C. PANDA B eoional ENaiNEBBiire CoLLBQB, B oubkela, Orissa, I ndia .{Beeeived January 1, 1968).Precision measurements on alkali-treated Merino wool belonging to the macro- molecular system have been made using the Low-angle Kratky (1958) camera of the latest design fitted with a crystal monochromator after Johansson (1933)- Guinier (1946). The wave length used was 1.54 A, CuK, radiation. The determina- nation of parameters like the radius of gyration of cross section and the radius of gjrration of thickness are made by the Guinier (1937) procedure. Such parameters on cellulose fibres have been reported much earlier by Heyn (1949) and others.Merino wool was treated with a Sodium hydroxide solution of pH-lO for 40 days. The scattering curve of this sample is shown with that of the air-driedone in the figure, where /  is the smeared-out intensity and « is a function of the scattering angle 6 :X =*2ap$a being the sample-film distance,, p the transformation factor related to the micro- photometer curve i.e. the ratio of the distance in the microphotometer record to the actual distance in the photographic film, and x is the distance measured along the microphotometer record. The method of obtaining'the intensity curves is the same as that reported by one of us (Batho, 1964), except that a monochromator is used here. We have here adopted the same method for evaluation of parameters as reported earlier by us (Batho tt cH, 1965).Letters to the EditorFrom tho study of the two scattering curves it appears that there is a consider- able fall of intensity in the innermost region in the alkali-treated sample which is probably due to the splitting up of large sized particles into smaller ones after long treatment with alkali.0 4 sX (in o m )--------►One can easily obtain the radius of gyration of cross section (if^) and the radiusof gyration of thickness (Ha) for the particles from the log Ix  vrs x^  and log Ix^ vrs x^ curves according to Guinier approximation. The air-fraction as wellas the specific surface (OjV) of the particles have been calculated and the results tabulated below :Samples ___(A)Ra (A)Bai Ba201V(A->) Air-fractionMerino Air-dried 96. »9 85.53 43.37 2.082x10-* 0.7018%Merino treated with pH-10 HaOH solution for 40 days 83.07 76.49 38.24 4.467X10-* 0.1664%Although there is considerable fall of intensity in the low-angle regions for the alkali-treated sample due to fragmentation of larger particles to smaller ones as evidenced from Rq values, the shape of the scattering curves remain unchanged as they should have been (Kratky et cU, 1942; Janeschitz-Kriegl et ul^  1963.)R B F B B B N O B SOuinier, A. 1946, C. [DoUady] Aead. U B88, 228, 81.1937, C. U. Hetd. Seances Acad. Soi,, 204, 1115.Heyn, A. N . J., 1949, TexUle B e s e a r e h 19, 163.Janesohitz-Kriegl, H.» and Kratky, O., 1053, Z ,  E le k tr o o h e m ,, 57, 42. Johansson, T,, 193.3. Z ,  P h y s i k , ,  82, 687.Kratky, O. and Seala, Z., 1958, Z .  E lc k tr o e h o m ic t 62 (1), 66.Kratky, O., Sekora, A. and Treer, E., 1942, Z ,  E U k tr o e h e m .f 48, 687. Eatho, T. and Panda, B. C., 1966, I n d i a n  J ,  P h y a , , 89, 207.Eatho, T., 1964, I n d i a n  J. P h y a . , 38, 475.Letters to the Editor35MATRIX ELEMENTS INCORPORATING MOMENTUMTRANSFERG. CHATTERJEE, D. M. BHATTACHARYA and N. 0. SILD efabtusnt  of THKoaBTicAL F htsics, iNDiAB Associatiok fob  tbb CtJLTivATioK OF SciKBCE, Caicutta-32 htdia (Btceiwd January SO, 1968)The theoretical calculations on electron capture phenomena in ion-atom oollision a t high energies, should include the translatory motion (momentum trans fer) of the electron attached either with the target or the projectile ion. Different authors viz. McCarroll, (1961) and Wilctsei cd, (1966) took recourse to approxi­mate numerical analysis to evaluate the matrix elements <  ( F(\ir*’‘^ > an doocuring as coefficients in the sot of differential equations to be solved cf. Basu et al (1967). But the difficulty is to call for the subroutine of the intergals at every step in the process of the solution of the differential equation (see Runge— K utta Method). Cheshire (1967) has formulated a method in which the time derivatives of the said matrix elements can be found out analytically. He has pointed out how to calculate the matrix elements for 2s and 2p states. We had also pursued the problem with a straight forward alternative derivation and obtained results identical with those of Cheshire. Further the results have been utilised in calculating some of the matrix elements in alpha-hydrogen atom collision and proton-hydrogen atom collisions.We write the hydrogenio wave functions (uimormalised) around two moving nuclei A  and B  as<pA,B —  exp^ V a >b  . r — ~  V ^ A tB *  + A a .*b  t  ]•where rA>rB> r  i<l^ ® position vectors of the electron from nuclei A , B  aftany arbitrary origin 0, and V^, Vjj the velocities of A  and B. We note thatT A iB t —  r —  V A )B  t~ -S A > B  r = V A - V B  r  =  V t + S A - S a .

Low-Angle X-Ray Measurements on Air-Driep and Alkali-Treated Macromolecular Systems-Wool

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Low-Angle X-Ray Measurements on Air-Driep and Alkali-Treated Macromolecular Systems-Wool

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