Classical, diatomic molecule, kinetic theory cross sections. III. Rigid body models

1982 ◽  
Vol 76 (6) ◽  
pp. 3169-3176 ◽  
Author(s):  
C. F. Curtiss
Keyword(s):  
Kinetic Theory ◽  
Rigid Body ◽  
Diatomic Molecule ◽  
Cross Sections

Atom–diatomic molecule kinetic theory cross sections

1985 ◽  
Vol 82 (8) ◽  
pp. 3795-3801 ◽  
Author(s):  
C. F. Curtiss ◽  
M. W. Tonsager
Keyword(s):  
Kinetic Theory ◽  
Diatomic Molecule ◽  
Cross Sections

HIGH FREQUENCY GAS DISCHARGE BREAKDOWN IN NEON

1952 ◽  
Vol 30 (5) ◽  
pp. 565-576 ◽  
Author(s):  
A. D. MacDonald ◽  
D. D. Betts
Keyword(s):  
Kinetic Theory ◽  
Electric Fields ◽  
Cross Sections ◽  
Electrical Breakdown ◽  
Ionization Rate ◽  
Gas Discharge ◽  
Distribution Functions ◽  
Boltzmann Transport ◽  
Discharge Data ◽  
Confluent Hypergeometric Functions

Electrical breakdown of neon at high frequencies has been treated theoretically on the basis of the Boltzmann transport equation. Exciting and ionizing collisions are accounted for as energy loss terms in the Boltzmann equation and measured values of the ionization efficiency are used in the integral determining the ionization rate. Electrons are lost to the discharge by diffusion. The equations are treated separately for the cases in which the collision frequency is much less than or much greater than the radian frequency of the applied field. The electron energy distribution functions are expressed in terms of Bessel functions, confluent hypergeometric functions, and simple exponentials. The ionization rate and the diffusion coefficient are calculated using these distribution functions in kinetic theory formulas, and combined with the diffusion equation to predict breakdown fields. The theoretically predicted fields are compared with experiment at 3000 Mc. per sec. The breakdown equations, calculated from kinetic theory and using no gas discharge data other than collision cross sections, predict breakdown electric fields within the limits of accuracy determined by these cross sections over a large range of experimental variables.

Charge transfer cross sections in argon ion–diatomic molecule collisions

1977 ◽  
Vol 66 (1) ◽  
pp. 24-31 ◽  
Author(s):  
A. F. Hedrick ◽  
T. F. Moran ◽  
K. J. McCann ◽  
M. R. Flannery
Keyword(s):  
Charge Transfer ◽  
Diatomic Molecule ◽  
Cross Sections ◽  
Argon Ion

Velocity Workspaces of the Normal Human Knee

2009 ◽  
Author(s):  
J. E. Fuller ◽  
G. A. Brown ◽  
M. C. Murphy
Keyword(s):  
Rigid Body ◽  
Cross Sections ◽  
Geometric Model ◽  
General Description ◽  
Main Function ◽  
Human Knee ◽  
Analysis Technique ◽  
Joint Biomechanics ◽  
Insight Into

The human knee is a joint in the musculoskeletal system, and as such, its main function is to allow motion between the thigh and shank of the human lower limb. The development of an analysis technique that, given a set of constraints, maps out all possible knee motions, could offer much information and insight into studies of knee biomechanics. The study of the kinematics of the human knee is one discipline where the construction of this type of information could provide new perspectives on old problems, meaningful information on current questions, and possible direction to future work. Once a geometric model has been developed, the natural place to begin with respect to kinematic analysis is position analysis. The construction of all possible positions and orientations one rigid body may assume relative to some other rigid body is a general description of what displacement workspace analyses attempt to accomplish. It is highly probable that information useful to the study of the biomechanics of the human knee is inherently contained within workspace analyses based on the constraint systems of the joint. Investigation of a relatively simple model, including representations for constraints dictated by the four major ligaments, gives insight into many aspects of the joint biomechanics. For example, the addition and exclusion of ligaments to a workspace model showed noticeable changes in the shape, geometry and size of the two dimensional cross-sections of the displacement workspace. Such information may allow investigators to develop strategies for affecting the allowable displacements and trajectories in similarly constrained joints, in vivo (Fuller, et al., 2000).

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