3] is the

azimuthal angle in the reflected field, [J.

2] [empty set]) - l]/2, where [empty set] is the

azimuthal angle, defined with respect to the flow direction [39].

2a) were interrogated; macros were programed to execute the necessary sample manipulations for the incident and

azimuthal angle scans required to determine the surface orientation direction and corresponding surface order parameter, S, at each position.

The T direction defines the zero of the

azimuthal angle in the [O.

15) into an equation in terms of the

azimuthal angle [phi].

The Standard however does not specify length measurement system tests at any

azimuthal angle other than 0[degrees], 90[degrees], 180[degrees] and 270[degrees].

A sequence of radial scans at a series of

azimuthal angles [phi] (-90[degrees] to 90[degrees], equator being 0) were obtained from GADDS software by integrating the data points by Bragg angle (2[theta]) in the range of 5-30[degrees], step wise of 0.

There will be a deflection angle, [theta] [member of] [0, [pi]), and an

azimuthal angle, [psi] [member of] [0, 2[pi]> to be sampled statistically.

Therefore, in azimuthal scans of the amorphous and the crystalline peak areas, the peak areas of the amorphous and the crystalline chains dependent on the

azimuthal angle correspond to the oriented fractions of the amorphous and the crystalline chains, while the peak areas independent on the

azimuthal angle should correspond to the unoriented ones.

The octagonal arrangement of the eight detector segments gives nearly full coverage of the 2[pi] of

azimuthal angle around the beam.

To observe clear changes in the orientation of the bubble, the WAXD patterns were analyzed for changes in the diffracted intensities with respect to the

azimuthal angle along the axial distance of the film line.

Note that in this expression ' denotes the

azimuthal angle whose range of definition is the interval (-[infinity] [infinity]).

H][less than or equal to][pi]/2 and the

azimuthal angle [[phi].

The degree and direction of orientation at any particular location may be quantified using a second moment tensor analysis of an azimuthal intensity scan, I([beta]), extracted from a 2D WAXS pattern ([beta] is the

azimuthal angle measured from the primary filling direction, see the overlay in Fig.