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The sphere is closed, since every point x not on lies in an open ball that does not intersect S.

The sphere is known as the Ewald sphere. The sample in its real space coordinate system r of the coordinate system of the real space. Thus by rotating the sample in the beam one can record the scattering intensity over a considerable fraction of reciprocal space, in which Ewald s sphere is the representation of the detector plane ,

The spheres corresponding to positive interaction pharmacophore element where the particular IPE will degrade the QSAR model.

The SPHERES project at MIT

The spheres represent the positions of tie points of the molecular network

The spherical coordinates of the valence electron.

The spherical coordinates r, 0, corresponding to a position vector r. The center of mass is at the origin of the coordinate system.

The spherical domain of a polymer molecule either expanding by imbibing solvent or contracting by excluding solvent.

The spherical flame radius and laminar flame velocity versus time for two ignition source sizes Tq

The spherical harmonic S32.

The spherical polar angles 6, 0 used to define the direction of approach of an N - H donor to the lone pairs on an 2-C S acceptor group

The spherical polar coordinate system. Any point P is defined by its distance from the origin r, the rotation angle 0 away from the X-axis and the rotation angle 9 away from the Z-axIs.

The spherical polar coordinate system. The angle 0 is called the azimuthal angle. Notice that the differential volume element is not equal to dr dO d4 and that the ranges of values for r,0, are not —oo to -f oo.

The spherical shapes can be observed in the TEM of a sample cast from a dilute solution and shadowed with Cr

The spherical triangle QAP formed by the direction OP of the magnetic field, the axis of sample rotation OQ and the interproton line OA. The proton pair is marked by two heavy dots . By sample rotation the position A of one of the protons moves along the dashed circle, cp is the running angle of rotation

The spherical-cap model .

The spherically averaged collective structure factor for N 20, L 16, j I O being die gyra-

The spherically symmetric swelling field about a rigid inclusion.

The spherulites developed in the typical polymers.

The SPI voluntary plastic container coding system .

The spin blockade phenomenon

The spin branching diagram for 0 to 6 electrons . The total spin quantum number is on the vertical axis. The numbers in the circles give the spin degeneracies.

The spin configuration for Er2Ti207 found from a spherical neutron polarimetry study. The moments point along the edges of each tetrahedron. Reprinted with permission from Poole et al., 2007 . Copyright lOP Publishing Ltd

The spin degrees of freedom describing the state of the elementary rhombi are located on the bonds of the triangular lattice while the constraints are defined on the sites of this lattice. The dashed line indicates the boundary condition imposed by a physical circuitry shown in

The spin density distribution and 3D 72 enhanced histogram of a double-layered PMMA gel .



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