now using equations D.3 and D.5

(B.18) |

where the derivatives , are given by B.15, B.16, B.14. The second derivatives can be evaluate from B.8.

If and are two using B.16 the second derivative is obviously zero.

If and are both orbital parameters, and for example the orbital depends from and orbital from , using B.15 we have:

(B.19) | |||

(B.20) |

because .

If and are parameters of the same orbital we have:

(B.21) |

If is one of the parameter, using the fact the matrix is symmetric we obtain:

(B.22) |