diff --git a/src/ao_one_e_ints/ao_one_e_ints.irp.f b/src/ao_one_e_ints/ao_one_e_ints.irp.f
index c3084ae2..694f0cdc 100644
--- a/src/ao_one_e_ints/ao_one_e_ints.irp.f
+++ b/src/ao_one_e_ints/ao_one_e_ints.irp.f
@@ -35,16 +35,34 @@ BEGIN_PROVIDER [ double precision, ao_one_e_integrals_imag,(ao_num,ao_num)]
   END_DOC
 
   IF (read_ao_one_e_integrals) THEN
-     call ezfio_get_ao_one_e_ints_ao_one_e_integrals(ao_one_e_integrals_imag)
+     call ezfio_get_ao_one_e_ints_ao_one_e_integrals_imag(ao_one_e_integrals_imag)
   ELSE
-     print *,  irp_here, ': Not yet implemented'
-     stop -1
+        ao_one_e_integrals_imag = ao_integrals_n_e_imag + ao_kinetic_integrals_imag
+
+        IF (DO_PSEUDO) THEN
+              ao_one_e_integrals_imag += ao_pseudo_integrals_imag
+        ENDIF
   ENDIF
 
   IF (write_ao_one_e_integrals) THEN
-       call ezfio_set_ao_one_e_ints_ao_one_e_integrals(ao_one_e_integrals_imag)
+       call ezfio_set_ao_one_e_ints_ao_one_e_integrals_imag(ao_one_e_integrals_imag)
        print *,  'AO one-e integrals written to disk'
   ENDIF
 
 END_PROVIDER
 
+BEGIN_PROVIDER [ complex*16, ao_one_e_integrals_complex,(ao_num,ao_num)]
+  implicit none
+  integer :: i,j,n,l
+  BEGIN_DOC
+ ! One-electron Hamiltonian in the |AO| basis.
+  END_DOC
+  
+  do i=1,ao_num
+    do j=1,ao_num
+      ao_one_e_integrals_complex(j,i)=ao_one_e_integrals(j,i)+(0.d0,1.d0)*ao_one_e_integrals_imag(j,i)
+    enddo
+  enddo
+
+END_PROVIDER
+
diff --git a/src/hartree_fock/fock_matrix_hf_complex.irp.f b/src/hartree_fock/fock_matrix_hf_complex.irp.f
new file mode 100644
index 00000000..0a432850
--- /dev/null
+++ b/src/hartree_fock/fock_matrix_hf_complex.irp.f
@@ -0,0 +1,93 @@
+
+ BEGIN_PROVIDER [ complex*16, ao_two_e_integral_alpha_complex, (ao_num, ao_num) ]
+&BEGIN_PROVIDER [ complex*16, ao_two_e_integral_beta_complex ,  (ao_num, ao_num) ]
+  use map_module
+  implicit none
+  BEGIN_DOC
+  ! Alpha and Beta Fock matrices in AO basis set
+  END_DOC
+  !TODO: finish implementing this: see complex qp1 (different mapping)
+ 
+  integer                        :: i,j,k,l,k1,r,s
+  integer                        :: i0,j0,k0,l0
+  integer*8                      :: p,q
+  double precision               :: integral, c0, c1, c2
+  double precision               :: ao_two_e_integral, local_threshold
+  double precision, allocatable  :: ao_two_e_integral_alpha_tmp(:,:)
+  double precision, allocatable  :: ao_two_e_integral_beta_tmp(:,:)
+ 
+  ao_two_e_integral_alpha = 0.d0
+  ao_two_e_integral_beta  = 0.d0
+  PROVIDE ao_two_e_integrals_in_map
+ 
+  integer(omp_lock_kind) :: lck(ao_num)
+  integer(map_size_kind)     :: i8
+  integer                        :: ii(8), jj(8), kk(8), ll(8), k2
+  integer(cache_map_size_kind)   :: n_elements_max, n_elements
+  integer(key_kind), allocatable :: keys(:)
+  double precision, allocatable  :: values(:)
+ 
+  !$OMP PARALLEL DEFAULT(NONE)                                      &
+      !$OMP PRIVATE(i,j,l,k1,k,integral,ii,jj,kk,ll,i8,keys,values,n_elements_max, &
+      !$OMP  n_elements,ao_two_e_integral_alpha_tmp,ao_two_e_integral_beta_tmp)&
+      !$OMP SHARED(ao_num,SCF_density_matrix_ao_alpha,SCF_density_matrix_ao_beta,&
+      !$OMP  ao_integrals_map, ao_two_e_integral_alpha, ao_two_e_integral_beta)
+ 
+  call get_cache_map_n_elements_max(ao_integrals_map,n_elements_max)
+  allocate(keys(n_elements_max), values(n_elements_max))
+  allocate(ao_two_e_integral_alpha_tmp(ao_num,ao_num), &
+           ao_two_e_integral_beta_tmp(ao_num,ao_num))
+  ao_two_e_integral_alpha_tmp = 0.d0
+  ao_two_e_integral_beta_tmp  = 0.d0
+ 
+  !$OMP DO SCHEDULE(static,1)
+  do i8=0_8,ao_integrals_map%map_size
+    n_elements = n_elements_max
+    call get_cache_map(ao_integrals_map,i8,keys,values,n_elements)
+    do k1=1,n_elements
+      call two_e_integrals_index_reverse(kk,ii,ll,jj,keys(k1))
+ 
+      do k2=1,8
+        if (kk(k2)==0) then
+          cycle
+        endif
+        i = ii(k2)
+        j = jj(k2)
+        k = kk(k2)
+        l = ll(k2)
+        integral = (SCF_density_matrix_ao_alpha(k,l)+SCF_density_matrix_ao_beta(k,l)) * values(k1)
+        ao_two_e_integral_alpha_tmp(i,j) += integral
+        ao_two_e_integral_beta_tmp (i,j) += integral
+        integral = values(k1)
+        ao_two_e_integral_alpha_tmp(l,j) -= SCF_density_matrix_ao_alpha(k,i) * integral
+        ao_two_e_integral_beta_tmp (l,j) -= SCF_density_matrix_ao_beta (k,i) * integral
+      enddo
+    enddo
+  enddo
+  !$OMP END DO NOWAIT
+  !$OMP CRITICAL
+  ao_two_e_integral_alpha += ao_two_e_integral_alpha_tmp
+  ao_two_e_integral_beta  += ao_two_e_integral_beta_tmp
+  !$OMP END CRITICAL
+  deallocate(keys,values,ao_two_e_integral_alpha_tmp,ao_two_e_integral_beta_tmp)
+  !$OMP END PARALLEL
+
+
+END_PROVIDER
+
+ BEGIN_PROVIDER [ complex*16, Fock_matrix_ao_alpha_complex, (ao_num, ao_num) ]
+&BEGIN_PROVIDER [ complex*16, Fock_matrix_ao_beta_complex,  (ao_num, ao_num) ]
+ implicit none
+ BEGIN_DOC
+ ! Alpha Fock matrix in AO basis set
+ END_DOC
+
+ integer                        :: i,j
+ do j=1,ao_num
+   do i=1,ao_num
+     Fock_matrix_ao_alpha_complex(i,j) = ao_one_e_integrals_complex(i,j) + ao_two_e_integral_alpha_complex(i,j)
+     Fock_matrix_ao_beta_complex (i,j) = ao_one_e_integrals_complex(i,j) + ao_two_e_integral_beta_complex (i,j)
+   enddo
+ enddo
+
+END_PROVIDER