Quantum Mechanical Models of Metal Surfaces and Nanoparticles

W. Gräfe was born in 1938 in Berlin, Germany. He received his degree in physics from the Humboldt-Universität in Berlin (GDR) in 1962. In the following years he worked with semiconductors and semiconductor surfaces at the Akademie der Wissenschaften in Berlin. With the results of those investigations he received also at the Humboldt-Universität in 1969 the degree Dr. rer. nat. (Ph D). From 1971 he worked in the field of mechanical properties of mineral glasses. With the results of these investigations he received the degree Dr. sc. nat. in 1984 at the Akademie der Wissenschaften in Berlin. From 1991 till his retirement in 2001 he was employed in a federal administrative authority in Berlin.

• Introduction.- The Model of Kronig and Penney.- Tamm's Electronic Surface States.- The Extension of the Kronig-Penney-Model by Binding Forces.- The Separation of the Semi-infinite Model and the Calculation of the Surface Parameters for the Three-dimensional Body at T = 0K.- The Surface Parameters for the Semi-infinite Three-dimensional Body at Arbitrary Temperature.- The Surface Free Energy and the Point of Zero Charge Determined for the Semi-infinite model.- A Model with a Limimited Number of Potential Wellss.- Surface Stress-Charge Coefficient (Estance).- Regard to the Spin in the Foregoing Texts.- Detailed Calculation of the Convolution Integrals.- Comparison of the Results for the Semi-infinite and the Limited Body.- Calculation of Surface Stress and Herring’s Formula.- Miscellaneous and Open Questions. Nomenclature.- Subject Index.