• pyramid
  • Fpy(q,R,H,a) =  ó
    õ
    H

    0

    4 Rz2sinc(qx Rzsinc(qy Rz) exp(-i qz zdz
    Rz = R - z/tan(a
    H/R < tan(a
    (1.19)
  • cylinder 
  • Fcy(q,R,H) = 2 pR2 H  J1(q||R)

    q||R
    sinc(qz H/2) exp(-i qz H/2) 
    q||
    Ö
     

    qx2+qy2
     
    (1.20)
  • cone 
  • Fco(q,R,H,a) =  ó
    õ
    H

    0

    2 pRz2  J1(q||Rz)

    q||Rz
    exp(-i qz zdz
    q||
    Ö
     

    qx2+qy2
     
    , Rz = R - z/tan(a
    H/R < tan(a
    (1.21)
  • prism3 
  • Fpr3(q,R,H) =   2 i Ö3 H

    qx (qx2-3 qy2)
    [ q1 sin(q2 R/2) exp(i qx R/2) - q2 sin(q1 R/2) exp(-i qx R/2) ] 
    sinc(qz H/2) exp(-i qz H/2) 
    q1 = Ö3 qy - qxq2 = Ö3 qy + qx
    (1.22)
  • tetrahedron 
  • Fte(q,R,H,a) = 
    ó
    õ
    H

    0

     2 i Ö3

    qx (qx2- 3 qy2)
    [ q1 sin(q2 Rz/2) exp(i qx Rz/2) - q2 sin(q1 Rz/2) exp(-i qx Rz/2) ] exp(-i qz z) d z
    q1 = Ö3 qy - qxq2 = Ö3 qy + qxRz = R - 2z/Ö3tan(a
    H/R < Ö3/2 tan(a
    (1.23)