Structure of consistent ground state: Re—derivation of RPA vacuum and inclusion of higher RPA effects

Here is presented a method to determine the consistent ground state (CGS ) which satisfies the so-called killer condition for the excitation operator. This method may be called an extended application of the procedure employed by Weiner and Goscinski in deriving the random phase approximation (RPA ) vacuum. The RPA vacuum is derived by solving the recurrence formula of the configuration coefficients of a multiconfigurational state vector. The role of boson approximation to the primitive p-h excitation operator is also investigated and by using the present formalism the cluster-expansion-type CGS is derived as the RPA vacuum under the boson approximation. Inclusion of the effects of a higher RPA in the CGS leads to the simultaneous equations of the configuration coefficients of the CGS . In including the effect of the second RPA , only the symmetry-broken CGS can exist. When the third RPA effect is involved instead of the second RPA , there can be a symmetry-adapted CGS , in which the picture of electron pairs acquired in the standard RPA vacuum is modified. Thus the exact CGS vectors are analytically obtained in the case of simple model systems of two or four electrons.     

A new simple synthesis of 1,4-benzodiazepines

A convenient synthesis of 1,4-benzodiazepines starting from secondary-2-aminobenzhydrols, which are easily obtained from secondary anilines and benzaldehydes, is described. 7-Nitro-1-methyl-1,4-benzodiazepine 1d can be formed from 5-nitro-2-methylaminomethylacylaminobenzo-phenone 10b and c by using ammonium carbonate instead of ammonia, which gives only the Smiles-rearranged product 11 .