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               The expert witnesses who appeared in the instant case presented        
          us with an overwhelming amount of information and arguments                 
          concerning the validity, enforceability, and ownership of the Amoco         
          patents.  In our Order dated December 6, 1996, we stated that the           
          parties were not permitted to introduce evidence to collaterally            
          attack the validity of the patents in this Court, Adams v.                  
          Commissioner, 23 B.T.A. 71, 103 (1931), affd. 65 F.2d 262 (5th Cir.         
          1933); R.M. Smith, Inc. v. Commissioner, T.C. Memo. 1977-23, but            
          that the parties were permitted to introduce such evidence to show          
          the scope of the patents, the potential availability of                     
          noninfringing substitutes, the potential for litigation over the            
          validity of the patents, and how such matters might affect the              
          royalty rate that would be set by parties bargaining at arm's               
          length.  After evaluating the evidence and the arguments presented          
          by the parties, we believe that a licensee of the Amoco patents             
          would consider these issues when negotiating a royalty rate for             
          their usage.  See Smith v. Commissioner, T.C. Memo. 1981-219 ("a            
          potential purchaser of a patent will consider its validity,                 
          difficulty of enforcement, and potential litigation as relevant to          
          the amount it is willing to pay."), affd. without published opinion         
          691 F.2d 508 (9th Cir. 1982).                                               
               We believe that an evaluation of the foregoing factors results         
          in a royalty towards the middle of the 5- to 13-percent range we            
          identified above.  Using our best judgment, and evaluating the              
          record as a whole, we conclude that a royalty of 9 percent of net           
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