After obtaining the Embedded Hamiltonian after ERI transform, the all-electron CCSD(T) energy can be recovered from the CCSD(T) density matrix from each fragment. It is important to note that when obtaining the CCSD(T) energy using self-consistent DMET, the (T) correction only needs to be computed after converging a DMET-CCSD calculation. This approach avoids the costly computation of the CCSD(T) density matrix during each iteration, as well as the CCSD(T) response equations. The computation of the particle density matrix is necessary as the PDM on individual fragments has to be back-transformed to the all-electron density for energy computations. Nevertheless, as is has been demonstrated, whether the particle density matrix is relaxed or not does not affect the energy values calculated . In practise, relevant density matrix computa-tions (CCSD and CCSD(T)) can be performed fragment by fragment, or, if parallel schemes such as MPI is used, can be performed simultaneously on different cores in a processor. The density matrix intermediates are are calculated on the fly and are not saved on hard disk.