Velocity vector diagram

Figure B2.3.2. Velocity vector diagram for a crossed-beam experiment, with a beam intersection angle of 90°. The laboratory velocities of the two reagent beams are and while the corresponding velocities in the centre-of-mass coordinate system are and U2, respectively. The laboratory and CM velocities for one of the products (assumed here to be in the plane of the reagent velocities) are denoted if and u, respectively.

Fig. 9.28 Velocity vector diagram for calculating the velocity difference between barrel and solid plug. This is the velocity of the barrel surface observed by a viewer on the plug the direction of its...

Fig. 1. Doppler spectroscopy velocity vector diagram Vp parent molecule velocity, Vr fragment recoil velocity in CM-system, VL=Vp+Vn fragment velocity in lab-system, Vu Doppler component in probe laser direction.

Figure I. Velocity vector diagrams for Reactions 1 and 2 illustrating the striking improvement in kinematics for detection of product T atoms in Reaction 2 as compared with detection of product KBr molecules in...

Figure 4, Velocity vector diagrams for Reaction 4 [panel (a)] and Reaction 6 [panel (b)] that illustrate the differences in the kinematics for the...

CoMPABisoN OF REACTION KINEMATICS. Figure 4 compares the most probable threshold velocity vector diagrams for Reactions 4 and 6. For both diagrams, the velocity vector for the molecular beam is drawn to correspond to the most probable velocity at the temperature of the beam source used in the experiments (300 K for T2 and 77 K for H2). The atomic beam velocity is then drawn so that the relative collision... 

More detailed information is obtained from fits of assumed c.m. cross sections to the laboratory data. Figure 11 shows a velocity vector diagram for Reaction 7 together with two of the best-fit cross sections... 

Figure 5 to 8 is the velocity vector diagram of upper corner field on the condition that the angle... 

In crossed molecular beam experiments, measurements of the product angle and speed are taken in the laboratory coordinate system (LAB). But information in the center-of-mass coordinate system is required to explain the dynamics of the scattering process. Thus, the results obtained in the laboratory coordinate system must be transformed to the center-of-mass coordinate system. We usually use the Newton vector diagram, i.e., the velocity vector diagram. 

The relative intensity of product appearing at given LAB velocities and angles in the plane defined by the reactant beams can now be represented by intensity contours superimposed on the velocity vector diagrams.t An... 

Figure 21.5 Adduct formation in the collision of particles A and B. (a) Velocity vector diagram for the A + B collision and the (conceptual) angular distribution of the AB adduct, localized in the direction of the centre-of-mass angle (b) Measured M (CH3l) >3 adduct distribution for M = Rb and M = K for details on the crossed-beam measurement procedure, see Gonzalez Ur-ena et al (1975)...

Figure 9.10 displays the velocity vector diagram of ra = 5 at different times. At t = 1 s, small convection is seen at every designated interfacial points. 

Figure 6.9 Velocity vector diagram (Newton diagram, Section 2.2.7.2) showing the relation between the lab velocity of the product Kl, vj, and its recoil velocity with respect to the center of mass, u, . The initial relative velocity v = v< - V j = u< - Ui forms the hypotenuse of the Newton triangle. The center of mass is as indicated, uj, is the recoil velocity of the Kl scattered (shown here in the plane defined by the initial velocities) at a center-of-mass (c.m.) angle 0 with a given Bj. The cone of isointensity (given 9 and variable ), see Figures 4.6 and 6.10, is indicated by the dotted circle. All lab velocities v are solid lines, center-of-mass velocities u are dashed.

The velocity vector diagram shows a flow pattern similar to that of the mass flow rate diagram. In the core, the maximum velocity occurs in the outer channel and Is approximately 0.16 m/s. In the upper plenum, the maximum velocity occurs In the center channel and Is 0.30 m/s. The velocity In the communication tubes Is much higher than In other regions of the upper plenum because of the relatively small cross-sectional flow area of the tubes. The calculated velocity In the center channel communication tube was 1.5 m/s. 

---