      REAL FUNCTION SIGMA(E)
C     ELECTRON COLLISIONS WITH N2
C     VIBRATIONAL EXCITATION v=0->1
C     CROSS SECTION(CM^2)  :SIGMA
C     COLLISION ENERGY(KEV):E
C     T.Tabata, et al., At. Data Nucl. Data Tables.
      REAL A(12)
      DATA EMIN,EMAX,ETH /1.05E-3,4.85E-2,2.90E-4/
      DATA A /1.83E+10,1.000E+1,9.410E-4,4.200E-1,1.240E+9,1.000E+1,
     >        2.087E-3,7.980E+0,1.370E-2,9.200E+0,1.940E-2,6.900E+0/
      DATA SIGMA0,ER /1.E-16,1.361E-2/
      SIGMA=0.0
      IF(E.LT.EMIN .OR. E.GT.EMAX) GO TO 9999
      E1=E-ETH
      SIGMA=F2(SIGMA0,ER,E1,A(1),A(2),A(3),A(4))
     >     +F2(SIGMA0,ER,E1,A(5),A(6),A(7),A(8))
     >     +F2(SIGMA0,ER,E1,A(9),A(10),A(11),A(12))
 9999 RETURN
      END
C
      REAL FUNCTION F1(SIGMA0,ER,X,C1,C2)
        F1=SIGMA0*C1*(X/ER)**C2
      RETURN
      END
C
      REAL FUNCTION F2(SIGMA0,ER,X,C1,C2,C3,C4)
        F2=F1(SIGMA0,ER,X,C1,C2)
     >     /(1.+(X/C3)**(C2+C4))
      RETURN
      END
C
      REAL FUNCTION F3(SIGMA0,ER,X,C1,C2,C3,C4,C5,C6)
        F3=F1(SIGMA0,ER,X,C1,C2)
     >     /(1.+(X/C3)**(C2+C4)+(X/C5)**(C2+C6))
      RETURN
      END

