This written in respect of the principal stretches (
  
    
      
        
          λ
          
            i
          
        
      
    
    {\displaystyle \lambda _{i}}
  ):

  
    
      
        W
        =
        
          
            1
            2
          
        
        
          [
          
            a
            (
            
              λ
              
                1
              
              
                2
              
            
            +
            
              λ
              
                2
              
              
                2
              
            
            +
            
              λ
              
                3
              
              
                2
              
            
            −
            3
            )
            +
            b
            
              (
              
                
                  e
                  
                    c
                    (
                    
                      λ
                      
                        1
                      
                      
                        2
                      
                    
                    +
                    
                      λ
                      
                        2
                      
                      
                        2
                      
                    
                    +
                    
                      λ
                      
                        3
                      
                      
                        2
                      
                    
                    −
                    3
                    )
                  
                
                −
                1
              
              )
            
          
          ]
        
      
    
    {\displaystyle W={\frac {1}{2}}\left[a(\lambda _{1}^{2}+\lambda _{2}^{2}+\lambda _{3}^{2}-3)+b\left(e^{c(\lambda _{1}^{2}+\lambda _{2}^{2}+\lambda _{3}^{2}-3)}-1\right)\right]}
   ,where a, b and c are constants.
Meprobamate—marketed as Miltown by Wallace Laboratories and Equanil by Wyeth, among others—is a carbamate derivative used as an anxiolytic drug. It was the best-selling minor tranquilizer for a time, but has largely been replaced by the benzodiazepines due to their wider therapeutic index (lower risk of toxicity at therapeutically prescribed doses) and lower incidence of serious side effects. History
Frank Berger was working in a laboratory of a British drug company, looking for a preservative for penicillin, when he noticed that a compound called mephenesin calmed laboratory rodents without actually sedating them. Berger subsequently referred to this “tranquilizing” effect in a now-historic article, published by the British Journal of Pharmacology in 1946. However, three major drawbacks existed  to the use of mephenesin as a tranquilizer: a very short duration of action, greater effect on the spinal cord than on the brain (resulting in a very low therapeutic index), and a weak activity.In May 1950, after moving to Carter Products in New Jersey, Berger and a chemist, Bernard John Ludwig, synthesized a chemically related tranquilizing compound, meprobamate, that overcame these three drawbacks. Wallace Laboratories, a subsidiary of Carter Products, bought the license and named their new product "Miltown" after the borough of Milltown, New Jersey. Launched in 1955, it rapidly became the first blockbuster psychotropic drug in American history, becoming popular in Hollywood and gaining fame for its seemingly miraculous effects.