ABSTRACTS OF TECHNICAL ARTICLES 1509 



Cutler, C. C/ and D. J. Brangaccio^ 



Factors Affecting Traveling Wave Tube Power Capacity, I.R.E., 

 Trans., P.G.E.D., 3, pp. 9-23, June, 1953. 



Dacey, G. C' 



Space-Charge Limited Hole Current in Germanium, Phys. Rev., 90, 

 pp. 759-763, June 1, 1953. 



A situation can arise in semi-conductors similar to the space-charge limited 

 emission of electrons in vacuum. The theory of Shockley and Prim for this 

 phenomenon has been extended to the high field case using the approximation 

 that the drift velocity of the carriers is y = ti{EEoy''^, where n is the low field 

 mobility, E the electric field, and Eo the "critical field." For this approxima- 

 tion the current density analogous to Child's law for a plane parallel diode is 



J = {ys)(y3y"Kf.Eo'^Wa"vw''\ 



where Va is the potential across a diode of thickness w and K is the dielectric 

 constant in mks units. Good agreement between theory and experiment for 

 hole flow in germanium at liquid air temperature has been obtained, using 

 values of m and ^o obtained independently by Ryder. 



EsHELBY, J. D.^ Read, W. T} and W. Shockley^ 



Anisotropic Elasticity with Applications to Dislocation Theory, Acta 

 Metallurgica, 1, pp. 251-259, May, 1953. 



The general solution of the elastic equations for an arbitrary homogeneous 

 anisotropic solid is found for the case where the elastic state is independent of 

 one (say Xs) of the three Cartesian coordinates Xi , X2 , Xs . Three complex 

 variables 2 (^^) = a:i + 'p{l)x2{( = 1, 2, 3) are introduced, the/)(^) being complex 

 parameters determined by the elastic constants. The components of the 

 displacement {ux , U2 , Uz) can be expressed as linear combinations of three 

 analytic functions, one of 2(i) , and of 0(2) , and one of 0(3) . The particular 

 form of solution which gives a dislocation along the Xa-axis with arbitrary 

 Burgers vector (ai , a^ , az) is found. (The solution for a uniform distribution 

 of body force along the a^s-axis appears as a by-product.) As is well known, for 

 isotropy we have Ws = for an edge dislocation and Ux = 0, f/2 = for a screw 

 dislocation. This is not true in the anisotropic case unless the XxX^ plane is a 

 plane of symmetry. Two cases are discussed in detail, a screw dislocation 

 running perpendicular to a symmetry plane of an otherwise arbitrary crystal, 

 and an edge dislocation running parallel to a fourfold axis of a cubic crystal. 



Fuller, C. S.^ and J. A. Ditzenberger^ 



Diffusion of Lithium Into Germanium and Silicon, Letter to the 

 Editor, Phys. Rev., 91, p. 193, July 1, 1953. 



1 Bell Telephone Laboratories, Inc. 

 8 University of Illinois. 



