摘要:

The distribution of vacancies and dislocation loops in quenched graphite has been studied by etching and decorating individual vacancies. Quenching in inert gases from 3100°C introduced less than 10−8vacancies per atom, and no dislocation loops. After quenching in vacuo from 3100°C, large portions of the crystals contained less than 10−10vacancies per atom, but most peripheral regions contained an abundance of vacancies and dislocation loops. A probable mechanism for vacancy injection and subsequent coagulation has been deduced. It is concluded that the energy of vacancy formation in graphite is larger than 6.6 eV.

ISSN:0021-8979    

DOI:10.1063/1.1714334

出版商:AIP    

年代:1965

数据来源: AIP

摘要:

A new theorem is stated on the construction and use of orthogonal sets for solving boundary value problems in a composite medium where the boundary function traverses more than one region. The concept of quasi‐orthogonality is introduced and employed in a rigorous expansion of the boundary function into a series of the nonorthogonal eigenset that arises from separation of variables in such instances. Orthogonal sets are constructed from the nonorthogonal (quasi‐orthogonal) eigenset by the use of orthogonality factors for each region derived from the orthogonality condition. Orthogonality factors for representative problems in neutron diffusion, heat conduction, scalar wave propagation, and nonrelativistic quantum mechanics are computed for rectangular, spherical, and cylindrical coordinates. The theorem allows a solution of multi‐region problems by a direct expansion without resort to integral transformation or Green's functions. It is an extension of the method of separation of variables and generalized Fourier analysis to cases heretofore beyond its scope.

ISSN:0021-8979    

DOI:10.1063/1.1714335

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714337

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714338

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714339

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714340

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714341

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714342

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714343

出版商:AIP    

年代:1965

数据来源: AIP

ISSN:0021-8979    

DOI:10.1063/1.1714344

出版商:AIP    

年代:1965

数据来源: AIP