Structural Similarities of the Two Forms 
Oxymyoglobin is shown with layers of water bound to its surface. This water is strongly attracted to the protein and is part of the structure of any crystalline protein. Hiding the  reveals that the overall tertiary shape is much like a hockey puck. The  is a prominent secondary structural component.  The Myoglobin page gives more detail on the secondary structure.  The а-helices can be shown to form  , and myoglobin can be classified as an  antiparallel α-helix type of globular protein.  The  shows most of the residues involved in an α-helix are clustered in the area of the plot where one would expect them to be. (Review Ramachandran Plot.) Many of the residues that are outside of the expected cluster are at the end of a helix, and it is not unusual for such residues to have ψ and φ values that are outside of the range for the α-helix. Also notice that many of the residues that are in the quadrants on the right are Gly. (Residues can be identified by hovering over the sphere with the cursor.)  The prosthetic group of myoglobin is a , and as shown here it is inserted into a pocket which is nonpolar.  Empty heme pocket lined with  shows that except for some oxygen on the bottom and His 93 at the mid point of one side the pocket is lined with nonpolar carbon atoms. The mostly  inserts into this pocket with the two carboxylate groups of the heme being on the molecular surface.  Detailed description of heme structure.  The  shown in the pocket with the pocket's surface colored white so that the heme can be distinguished from the protein surface atoms.  is the fifth ligand chelated to Fe2+ (the other four are the nitrogens in the pyrole rings), and it binds to one side of the heme.  Show  displayed as spacefill that are within 0.5 nm of the heme.  These are the atoms which form the surface of the heme pocket and serve as a reminder that except for the ones on the surface most of these atoms are carbon atoms and produce a nonpolar environment for the heme.  This nonpolar, water-excluding environment is important for the function of myoglobin.  Whenever Fe2+ is in an aqueous emvironment and it contacts O2, Fe2+ is oxidized to Fe3+.  Myoglobin with a heme containing Fe3+ (called metmyoglobin) can not fulfill its physiological function and therefore must be degraded. 
  Structural Differences of the Two Forms 
The major difference is the chelation of  to Fe2+ on the side of the heme opposite His 93.  Fe2+ in oxymyoglobin is chelated to six ligands whereas in myoglobin Fe2+ has only five of the possible six positions occupied.  The binding of O2 induces conformational changes in the protein.  View the , and observe how much Fe2+ is off set from being centered in the plane of the heme.   Compare this displacement of Fe2+ in oxymyoglobin to that in myoglobin by going to Myoglobin, select 'View2:Heme Closeup' from the drop down menu on the right, rotate the image so that you are viewing the edge of the heme.  Notice that the Fe2+ is displaced to a greater extend in myoglobin than in oxymyoglobin, actually  0.055 nm in myoglobin and  0.026 nm in oxymyoglobin.  Check the bottom most box on the right (It may be partially covered) in order to display His 93 which is responsible for pulling the Fe2+ out of the plane of the heme.  This tug of His is counter balanced with the 2.    is located on the same side of the heme as molecular oxygen and is close enough to the heme to make contact with the O2 but is not close enough to the Fe2+ for its nitrogen to chelate with Fe2+.