The wave model of the atom takes the basic idea of the Bohr model of the atom where there is a small dense nucleus surrounded by electrons, but the electrons are represented by a probability distribution instead of by discrete mathematical points. Thus they are often described as the "electron cloud".
Standing waves and atomic orbitals (http://www.susqu.edu/facstaff/M/kmiller/collchem/2002/atomicorbitals.htm) Quote: "...Electrons may or may not be particles, depending on when and where we look at them. When physicists tried to explain electron behavior in the atom, the equations - models - turned out to be describing standing waves. These equations - what we call wave functions or better yet, orbitals- had four variables which changed depending on which electron, in which atom you were looking at. These four variables are known as the four quantum numbers....".
The Orbitron (http://www.shef.ac.uk/chemistry/orbitron/) a gallery of atomic orbitals and molecular orbitals on the WWW.
Quote: (http://members.tripod.com/mwolff/see) "...Actually, in the H atom both the electron wave-structure and the proton have the same center. The electron's structure can be imagined like an onion - spherical layers of waves around a center. The amplitude of the waves decreases like the blue standing wave in the bottom diagram. There are no point masses - no orbits, just waves..."
... great division of the Hegelian school, he, in company with Michelet and others, formed the "centre," midway between Erdmann and Gabler on the one hand, and the "extrem ...