mirror of https://github.com/pfloos/quack
248 lines
6.9 KiB
Fortran
248 lines
6.9 KiB
Fortran
subroutine UHF(maxSCF,thresh,max_diis,guess_type,nNuc,ZNuc,rNuc,ENuc,nBas,nO,S,T,V,Hc,ERI,dipole_int,X,EUHF,e,c,P)
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! Perform unrestricted Hartree-Fock calculation
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implicit none
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include 'parameters.h'
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! Input variables
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integer,intent(in) :: maxSCF
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integer,intent(in) :: max_diis
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integer,intent(in) :: guess_type
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double precision,intent(in) :: thresh
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integer,intent(in) :: nBas
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integer,intent(in) :: nNuc
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double precision,intent(in) :: ZNuc(nNuc)
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double precision,intent(in) :: rNuc(nNuc,ncart)
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double precision,intent(in) :: ENuc
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integer,intent(in) :: nO(nspin)
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double precision,intent(in) :: S(nBas,nBas)
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double precision,intent(in) :: T(nBas,nBas)
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double precision,intent(in) :: V(nBas,nBas)
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double precision,intent(in) :: Hc(nBas,nBas)
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double precision,intent(in) :: X(nBas,nBas)
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double precision,intent(in) :: ERI(nBas,nBas,nBas,nBas)
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double precision,intent(in) :: dipole_int(nBas,nBas,ncart)
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! Local variables
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integer :: nSCF
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integer :: nBasSq
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integer :: n_diis
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double precision :: conv
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double precision :: rcond(nspin)
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double precision :: ET(nspin)
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double precision :: EV(nspin)
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double precision :: EJ(nsp)
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double precision :: Ex(nspin)
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double precision :: dipole(ncart)
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double precision,allocatable :: cp(:,:,:)
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double precision,allocatable :: J(:,:,:)
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double precision,allocatable :: F(:,:,:)
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double precision,allocatable :: Fp(:,:,:)
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double precision,allocatable :: K(:,:,:)
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double precision,allocatable :: err(:,:,:)
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double precision,allocatable :: err_diis(:,:,:)
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double precision,allocatable :: F_diis(:,:,:)
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double precision,external :: trace_matrix
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integer :: ispin
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! Output variables
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double precision,intent(out) :: EUHF
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double precision,intent(out) :: e(nBas,nspin)
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double precision,intent(out) :: c(nBas,nBas,nspin)
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double precision,intent(out) :: P(nBas,nBas,nspin)
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! Hello world
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write(*,*)
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write(*,*)'************************************************'
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write(*,*)'* Unrestricted Hartree-Fock calculation *'
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write(*,*)'************************************************'
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write(*,*)
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! Useful stuff
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nBasSq = nBas*nBas
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! Memory allocation
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allocate(J(nBas,nBas,nspin),F(nBas,nBas,nspin),Fp(nBas,nBas,nspin), &
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K(nBas,nBas,nspin),err(nBas,nBas,nspin),cp(nBas,nBas,nspin), &
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err_diis(nBasSq,max_diis,nspin),F_diis(nBasSq,max_diis,nspin))
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! Guess coefficients and eigenvalues
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if(guess_type == 1) then
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F(:,:,:) = 0d0
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do ispin=1,nspin
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F(:,:,ispin) = Hc(:,:)
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end do
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else if(guess_type == 2) then
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do ispin=1,nspin
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call random_number(F(:,:,ispin))
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end do
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end if
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! Initialization
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nSCF = 0
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conv = 1d0
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n_diis = 0
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F_diis(:,:,:) = 0d0
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err_diis(:,:,:) = 0d0
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!------------------------------------------------------------------------
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! Main SCF loop
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!------------------------------------------------------------------------
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write(*,*)
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write(*,*)'----------------------------------------------------------'
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write(*,'(1X,A1,1X,A3,1X,A1,1X,A16,1X,A1,1X,A16,1X,A1,1X,A10,1X,A1,1X)') &
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'|','#','|','E(UHF)','|','Ex(UHF)','|','Conv','|'
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write(*,*)'----------------------------------------------------------'
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do while(conv > thresh .and. nSCF < maxSCF)
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! Increment
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nSCF = nSCF + 1
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! Transform Fock matrix in orthogonal basis
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do ispin=1,nspin
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Fp(:,:,ispin) = matmul(transpose(X(:,:)),matmul(F(:,:,ispin),X(:,:)))
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end do
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! Diagonalize Fock matrix to get eigenvectors and eigenvalues
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cp(:,:,:) = Fp(:,:,:)
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do ispin=1,nspin
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call diagonalize_matrix(nBas,cp(:,:,ispin),e(:,ispin))
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end do
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! Back-transform eigenvectors in non-orthogonal basis
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do ispin=1,nspin
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c(:,:,ispin) = matmul(X(:,:),cp(:,:,ispin))
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end do
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! Compute density matrix
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do ispin=1,nspin
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P(:,:,ispin) = matmul(c(:,1:nO(ispin),ispin),transpose(c(:,1:nO(ispin),ispin)))
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end do
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! Build Coulomb repulsion
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do ispin=1,nspin
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call Coulomb_matrix_AO_basis(nBas,P(:,:,ispin),ERI(:,:,:,:),J(:,:,ispin))
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end do
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! Compute exchange potential
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do ispin=1,nspin
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call exchange_matrix_AO_basis(nBas,P(:,:,ispin),ERI(:,:,:,:),K(:,:,ispin))
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end do
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! Build Fock operator
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do ispin=1,nspin
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F(:,:,ispin) = Hc(:,:) + J(:,:,ispin) + J(:,:,mod(ispin,2)+1) + K(:,:,ispin)
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end do
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! Check convergence
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do ispin=1,nspin
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err(:,:,ispin) = matmul(F(:,:,ispin),matmul(P(:,:,ispin),S(:,:))) - matmul(matmul(S(:,:),P(:,:,ispin)),F(:,:,ispin))
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end do
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if(nSCF > 1) conv = maxval(abs(err(:,:,:)))
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! DIIS extrapolation
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n_diis = min(n_diis+1,max_diis)
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do ispin=1,nspin
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if(nO(ispin) > 1) call DIIS_extrapolation(rcond(ispin),nBasSq,nBasSq,n_diis,err_diis(:,1:n_diis,ispin), &
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F_diis(:,1:n_diis,ispin),err(:,:,ispin),F(:,:,ispin))
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end do
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! Reset DIIS if required
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if(minval(rcond(:)) < 1d-15) n_diis = 0
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!------------------------------------------------------------------------
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! Compute UHF energy
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!------------------------------------------------------------------------
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! Kinetic energy
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do ispin=1,nspin
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ET(ispin) = trace_matrix(nBas,matmul(P(:,:,ispin),T(:,:)))
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end do
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! Potential energy
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do ispin=1,nspin
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EV(ispin) = trace_matrix(nBas,matmul(P(:,:,ispin),V(:,:)))
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end do
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! Coulomb energy
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EJ(1) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,1),J(:,:,1)))
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EJ(2) = trace_matrix(nBas,matmul(P(:,:,1),J(:,:,2)))
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EJ(3) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,2),J(:,:,2)))
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! Exchange energy
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do ispin=1,nspin
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Ex(ispin) = 0.5d0*trace_matrix(nBas,matmul(P(:,:,ispin),K(:,:,ispin)))
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end do
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! Total energy
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EUHF = sum(ET(:)) + sum(EV(:)) + sum(EJ(:)) + sum(Ex(:))
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! Dump results
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write(*,'(1X,A1,1X,I3,1X,A1,1X,F16.10,1X,A1,1X,F16.10,1X,A1,1X,F10.6,1X,A1,1X)') &
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'|',nSCF,'|',EUHF + ENuc,'|',sum(Ex(:)),'|',conv,'|'
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end do
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write(*,*)'----------------------------------------------------------'
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!------------------------------------------------------------------------
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! End of SCF loop
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!------------------------------------------------------------------------
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! Did it actually converge?
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if(nSCF == maxSCF) then
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write(*,*)
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write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
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write(*,*)' Convergence failed '
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write(*,*)'!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!'
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write(*,*)
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stop
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end if
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! Compute final UHF energy
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call dipole_moment(nBas,P(:,:,1)+P(:,:,2),nNuc,ZNuc,rNuc,dipole_int,dipole)
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call print_UHF(nBas,nO,S,e,c,ENuc,ET,EV,EJ,Ex,EUHF,dipole)
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end subroutine UHF
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