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added test_ueg_self_contained.irp.f

This commit is contained in:
eginer 2022-06-17 15:04:32 +02:00
parent e99e976c22
commit a407d7e156
4 changed files with 95 additions and 14 deletions

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@ -2,13 +2,8 @@ double precision function ecmd_pbe_ueg_self_cont(dens,spin_pol,mu,e_PBE)
implicit none
! dens = total density
! spin_pol = spin_polarization (n_a - n_b)/dens
! e_PBE = PBE correlation (mu=0) energy evaluated at (dens,spin_pol,grad_rho)
! e_PBE = epsilon_PBE * dens
! dens = a + b
! spin_pol = (a - b)/(a+b)
! spin_pol * dens = a - b
! a - b + a+b = 2 a
! a - b - a - b = - 2b
! e_PBE = PBE correlation (mu=0) energy evaluated at dens,spin_pol (and grad_rho)
! e_PBE = epsilon_PBE * dens which means that it is not the energy density but the energy density X the density
double precision, intent(in) :: dens,spin_pol,mu,e_PBE
double precision :: rho_a,rho_b,pi,g0_UEG_func,denom,beta
pi = dacos(-1.d0)
@ -31,7 +26,7 @@ end
double precision function g0_UEG_func(rho_a,rho_b)
! Pair distribution function g0(n_alpha,n_beta) of the Colombic UEG
!
! Taken from Eq. (46) P. Gori-Giorgi and A. Savin, Phys. Rev. A 73, 032506 (2006).
! Taken from Eq. (46) P. Gori-Giorgi and A. Savin, Phys. Rev. A 73, 032506 (2006).
implicit none
double precision, intent(in) :: rho_a,rho_b
double precision :: rho,pi,x
@ -46,7 +41,7 @@ double precision function g0_UEG_func(rho_a,rho_b)
E = 0.001859d0
x = -d2*rs
if (dabs(rho) > 1.d-20) then
rs = (3d0 / (4d0*pi*rho))**(1d0/3d0) ! JT: serious bug fixed 20/03/19
rs = (3d0 / (4d0*pi*rho))**(1d0/3d0)
x = -d2*rs
if(dabs(x).lt.50.d0)then
g0_UEG_func= 0.5d0 * (1d0+ rs* (-B + rs*(C + rs*(D + rs*E))))*dexp(x)

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@ -22,8 +22,8 @@ subroutine print_su_pbe_ot
write(*, '(A29,X,I3,X,A3,X,F16.10)') ' ECMD PBE-UEG , state ',istate,' = ',ecmd_pbe_ueg_mu_of_r(istate)
write(*, '(A29,X,I3,X,A3,X,F16.10)') ' ecmd_pbe_ueg_test , state ',istate,' = ',ecmd_pbe_ueg_test(istate)
enddo
do istate = 1, N_states
write(*, '(A29,X,I3,X,A3,X,F16.10)') ' ECMD SU-PBE-OT , state ',istate,' = ',ecmd_pbe_on_top_su_mu_of_r(istate)
enddo
! do istate = 1, N_states
! write(*, '(A29,X,I3,X,A3,X,F16.10)') ' ECMD SU-PBE-OT , state ',istate,' = ',ecmd_pbe_on_top_su_mu_of_r(istate)
! enddo
end

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@ -0,0 +1,84 @@
program test_sc
implicit none
integer :: m
double precision :: r(3),f_hf,on_top,mu,sqpi
double precision :: rho_a,rho_b,w_hf,dens,delta_rho,e_pbe
double precision :: grad_rho_a(3),grad_rho_b(3),grad_rho_a_2(3),grad_rho_b_2(3),grad_rho_a_b(3)
double precision :: sigmacc,sigmaco,sigmaoo,spin_pol
double precision :: eps_c_md_PBE , ecmd_pbe_ueg_self_cont
r = 0.D0
r(3) = 1.D0
call f_HF_valence_ab(r,r,f_hf,on_top)
sqpi = dsqrt(dacos(-1.d0))
if(on_top.le.1.d-12.or.f_hf.le.0.d0.or.f_hf * on_top.lt.0.d0)then
w_hf = 1.d+10
else
w_hf = f_hf / on_top
endif
mu = sqpi * 0.5d0 * w_hf
call density_and_grad_alpha_beta(r,rho_a,rho_b, grad_rho_a, grad_rho_b)
dens = rho_a + rho_b
delta_rho = rho_a - rho_b
spin_pol = delta_rho/(max(1.d-10,dens))
grad_rho_a_2 = 0.d0
grad_rho_b_2 = 0.d0
grad_rho_a_b = 0.d0
do m = 1, 3
grad_rho_a_2 += grad_rho_a(m)*grad_rho_a(m)
grad_rho_b_2 += grad_rho_b(m)*grad_rho_b(m)
grad_rho_a_b += grad_rho_a(m)*grad_rho_b(m)
enddo
call grad_rho_ab_to_grad_rho_oc(grad_rho_a_2,grad_rho_b_2,grad_rho_a_b,sigmaoo,sigmacc,sigmaco)
! call the PBE energy
print*,'f_hf,on_top = ',f_hf,on_top
print*,'mu = ',mu
print*,'dens,spin_pol',dens,spin_pol
call ec_pbe_only(0.d0,dens,delta_rho,sigmacc,sigmaco,sigmaoo,e_PBE)
print*,'e_PBE = ',e_PBE
eps_c_md_PBE = ecmd_pbe_ueg_self_cont(dens,spin_pol,mu,e_PBE)
print*,'eps_c_md_PBE = ',eps_c_md_PBE
print*,''
print*,''
print*,''
print*,'energy_c' ,energy_c
integer::ipoint
double precision :: weight , accu
accu = 0.d0
do ipoint = 1, n_points_final_grid
r = final_grid_points(:,ipoint)
weight = final_weight_at_r_vector(ipoint)
call f_HF_valence_ab(r,r,f_hf,on_top)
sqpi = dsqrt(dacos(-1.d0))
if(on_top.le.1.d-12.or.f_hf.le.0.d0.or.f_hf * on_top.lt.0.d0)then
w_hf = 1.d+10
else
w_hf = f_hf / on_top
endif
mu = sqpi * 0.5d0 * w_hf
call density_and_grad_alpha_beta(r,rho_a,rho_b, grad_rho_a, grad_rho_b)
dens = rho_a + rho_b
delta_rho = rho_a - rho_b
spin_pol = delta_rho/(max(1.d-10,dens))
grad_rho_a_2 = 0.d0
grad_rho_b_2 = 0.d0
grad_rho_a_b = 0.d0
do m = 1, 3
grad_rho_a_2 += grad_rho_a(m)*grad_rho_a(m)
grad_rho_b_2 += grad_rho_b(m)*grad_rho_b(m)
grad_rho_a_b += grad_rho_a(m)*grad_rho_b(m)
enddo
call grad_rho_ab_to_grad_rho_oc(grad_rho_a_2,grad_rho_b_2,grad_rho_a_b,sigmaoo,sigmacc,sigmaco)
! call the PBE energy
call ec_pbe_only(0.d0,dens,delta_rho,sigmacc,sigmaco,sigmaoo,e_PBE)
eps_c_md_PBE = ecmd_pbe_ueg_self_cont(dens,spin_pol,mu,e_PBE)
write(33,'(100(F16.10,X))')r(:), weight, w_hf, on_top, mu, dens, spin_pol, e_PBE, eps_c_md_PBE
accu += weight * eps_c_md_PBE
enddo
print*,'accu = ',accu
write(*, *) ' ECMD PBE-UEG ',ecmd_pbe_ueg_mu_of_r(1)
write(*, *) ' ecmd_pbe_ueg_test ',ecmd_pbe_ueg_test(1)
end

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@ -64,7 +64,8 @@ END_PROVIDER
END_PROVIDER
BEGIN_PROVIDER [double precision, grid_points_per_atom, (3,n_points_integration_angular,n_points_radial_grid,nucl_num)]
BEGIN_PROVIDER [double precision, grid_points_per_atom, (3,n_points_integration_angular,n_points_radial_grid,nucl_num)]
&BEGIN_PROVIDER [double precision, radial_points_per_atom, (n_points_radial_grid,nucl_num)]
BEGIN_DOC
! x,y,z coordinates of grid points used for integration in 3d space
END_DOC
@ -72,6 +73,7 @@ BEGIN_PROVIDER [double precision, grid_points_per_atom, (3,n_points_integration_
integer :: i,j,k
double precision :: dr,x_ref,y_ref,z_ref
double precision :: knowles_function
radial_points_per_atom = 0.D0
do i = 1, nucl_num
x_ref = nucl_coord(i,1)
y_ref = nucl_coord(i,2)
@ -83,7 +85,7 @@ BEGIN_PROVIDER [double precision, grid_points_per_atom, (3,n_points_integration_
! value of the radial coordinate for the integration
r = knowles_function(alpha_knowles(grid_atomic_number(i)),m_knowles,x)
radial_points_per_atom(j,i) = r
! explicit values of the grid points centered around each atom
do k = 1, n_points_integration_angular
grid_points_per_atom(1,k,j,i) = &