scholarly journals Gradual collapse of nuclear wave functions regulated by frequency tuned X-ray scattering

2017 ◽  
Vol 7 (1) ◽  
Author(s):  
Nina Ignatova ◽  
Vinícius V. Cruz ◽  
Rafael C. Couto ◽  
Emelie Ertan ◽  
Andrey Zimin ◽  
...  
1975 ◽  
Vol 53 (1) ◽  
pp. 93-96 ◽  
Author(s):  
Robert Benesch ◽  
K. M. S. Saxena

Coherent X-ray scattering factors have been computed from numerical Hartree–Fock wave functions for the neutral lanthanides and for their single-, double-, and triple-positive ions having the most commonly occurring 6sm4fn ground state configurations. For small scattering angles, the scattering factors for the ions vary among the various configurations. At large scattering angles all configurations for a given ion yield similar values for the scattering factor.


1966 ◽  
Vol 146 (1) ◽  
pp. 43-46 ◽  
Author(s):  
D. Chattarji ◽  
N. V. V. J. Swamy

1999 ◽  
Vol 55 (4) ◽  
pp. 648-651 ◽  
Author(s):  
Sylvian Kahane

Tables of modified X-ray scattering factors for neutral elements with Z = 70–100 have been calculated using multiconfiguration Dirac–Fock wave functions. The physical approximation is a next step beyond the usual form-factor approximation in calculating elastic scattering photon intensities. Differences as large as 3–6% compared to previous calculations of the same kind are obtained; differences from the usual form factors are much larger.


1978 ◽  
Vol 34 (6) ◽  
pp. 994-999 ◽  
Author(s):  
K. Schwarz ◽  
H. Schulz

Form factors calculated from several theoretical models show that the Xα method is accurate to about 1%. With the latter scheme and the Watson-sphere model the atomic form factors for O2- and N3- are computed for varying sphere radii. To a first approximation this radial variation accounts for the different environments of such ions. Deviations of up to 25% in the scattering factors occur when compared with the results obtained from the wave functions of the corresponding neutral atom.


1978 ◽  
Vol 56 (1) ◽  
pp. 1-2
Author(s):  
Robert Benesch ◽  
K. M. S. Saxena

Coherent X-ray scattering factors F(μ) for the neutral actinides (Z = 89 through Z = 102) and for various configurations of their positive ions have been computed from non-relativistic Hartree–Fock wave functions. The expectation values [Formula: see text] are also reported for the 119 systems considered in the present study.


1960 ◽  
Vol 13 (7) ◽  
pp. 539-542 ◽  
Author(s):  
J. N. Silverman ◽  
O. Platas ◽  
F. A. Matsen

Author(s):  
Eva-Maria Mandelkow ◽  
Eckhard Mandelkow ◽  
Joan Bordas

When a solution of microtubule protein is changed from non-polymerising to polymerising conditions (e.g. by temperature jump or mixing with GTP) there is a series of structural transitions preceding microtubule growth. These have been detected by time-resolved X-ray scattering using synchrotron radiation, and they may be classified into pre-nucleation and nucleation events. X-ray patterns are good indicators for the average behavior of the particles in solution, but they are difficult to interpret unless additional information on their structure is available. We therefore studied the assembly process by electron microscopy under conditions approaching those of the X-ray experiment. There are two difficulties in the EM approach: One is that the particles important for assembly are usually small and not very regular and therefore tend to be overlooked. Secondly EM specimens require low concentrations which favor disassembly of the particles one wants to observe since there is a dynamic equilibrium between polymers and subunits.


Author(s):  
Eva-Maria Mandelkow ◽  
Ron Milligan

Microtubules form part of the cytoskeleton of eukaryotic cells. They are hollow libers of about 25 nm diameter made up of 13 protofilaments, each of which consists of a chain of heterodimers of α-and β-tubulin. Microtubules can be assembled in vitro at 37°C in the presence of GTP which is hydrolyzed during the reaction, and they are disassembled at 4°C. In contrast to most other polymers microtubules show the behavior of “dynamic instability”, i.e. they can switch between phases of growth and phases of shrinkage, even at an overall steady state [1]. In certain conditions an entire solution can be synchronized, leading to autonomous oscillations in the degree of assembly which can be observed by X-ray scattering (Fig. 1), light scattering, or electron microscopy [2-5]. In addition such solutions are capable of generating spontaneous spatial patterns [6].In an earlier study we have analyzed the structure of microtubules and their cold-induced disassembly by cryo-EM [7]. One result was that disassembly takes place by loss of protofilament fragments (tubulin oligomers) which fray apart at the microtubule ends. We also looked at microtubule oscillations by time-resolved X-ray scattering and proposed a reaction scheme [4] which involves a cyclic interconversion of tubulin, microtubules, and oligomers (Fig. 2). The present study was undertaken to answer two questions: (a) What is the nature of the oscillations as seen by time-resolved cryo-EM? (b) Do microtubules disassemble by fraying protofilament fragments during oscillations at 37°C?


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