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Anthony Scemama 2016-05-02 10:52:55 +02:00
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commit 9acdd8b449
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BEGIN_PROVIDER [ real, ao_axis_hess, (ao_num,elec_num,3,3) ]
implicit none
include 'types.F'
BEGIN_DOC
! Gradients of the cartesian polynomial part of the atomic orbitals.
END_DOC
integer :: i, j, l
real,save :: real_of_int(-2:10)
data real_of_int /0.,0.,0.,1.,2.,3.,4.,5.,6.,7.,8.,9.,10./
do j=1,elec_num
do i=1,ao_num
! a*b*(x-x0)**(a-1)*(y-y0)**(b-1)*(z-z0)**c
ao_axis_hess(i,j,1,1) = real_of_int(ao_power(i,1)) * real_of_int(ao_power(i,1)-1) &
* ao_axis_power( ao_power(i,1)-2, 1 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,2) , 2 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,3) , 3 , ao_nucl(i) , j )
ao_axis_hess(i,j,2,1) = real_of_int(ao_power(i,1)) * real_of_int(ao_power(i,2)) &
* ao_axis_power( ao_power(i,1)-1, 1 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,2)-1, 2 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,3) , 3 , ao_nucl(i) , j )
ao_axis_hess(i,j,3,1) = real_of_int(ao_power(i,1)) * real_of_int(ao_power(i,3)) &
* ao_axis_power( ao_power(i,1)-1, 1 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,2) , 2 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,3)-1, 3 , ao_nucl(i) , j )
ao_axis_hess(i,j,1,2) = ao_axis_hess(i,j,2,1)
ao_axis_hess(i,j,2,2) = real_of_int(ao_power(i,2)) * real_of_int(ao_power(i,2)-1) &
* ao_axis_power( ao_power(i,1) , 1 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,2)-2, 2 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,3) , 3 , ao_nucl(i) , j )
ao_axis_hess(i,j,3,2) = real_of_int(ao_power(i,2)) * real_of_int(ao_power(i,3)) &
* ao_axis_power( ao_power(i,1) , 1 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,2)-1, 2 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,3)-1, 3 , ao_nucl(i) , j )
ao_axis_hess(i,j,1,3) = ao_axis_hess(i,j,3,1)
ao_axis_hess(i,j,2,3) = ao_axis_hess(i,j,3,2)
ao_axis_hess(i,j,3,3) = real_of_int(ao_power(i,3)) * real_of_int(ao_power(i,3)-1) &
* ao_axis_power( ao_power(i,1) , 1 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,2) , 2 , ao_nucl(i) , j ) &
* ao_axis_power( ao_power(i,3)-2, 3 , ao_nucl(i) , j )
enddo
enddo
END_PROVIDER
BEGIN_PROVIDER [ real, ao_axis_lapl_grad, (ao_num,elec_num,3) ]
implicit none
include 'types.F'
BEGIN_DOC
! Laplacian of the cartesian atomic orbitals
END_DOC
integer :: i, j, l
do j=1,elec_num
do i=1,ao_num
real, save :: real_of_int(-3:10)
data real_of_int /0.,0.,0.,0.,1.,2.,3.,4.,5.,6.,7.,8.,9.,10./
ao_axis_lapl_grad(i,j,1) = real_of_int(ao_power(i,1)-2) * &
real_of_int(ao_power(i,1)-1) * real_of_int(ao_power(i,1)) * &
ao_axis_power( ao_power(i,1)-3, 1 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,2), 2 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,3), 3 , ao_nucl(i) , j ) &
+ real_of_int(ao_power(i,1)) * &
real_of_int(ao_power(i,2)-1) * real_of_int(ao_power(i,2)) * &
ao_axis_power( ao_power(i,1)-1, 1 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,2)-2, 2 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,3), 3 , ao_nucl(i) , j ) &
+ real_of_int(ao_power(i,1)) * &
real_of_int(ao_power(i,3)-1) * real_of_int(ao_power(i,3)) * &
ao_axis_power( ao_power(i,1)-1, 1 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,2), 2 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,3)-2, 3 , ao_nucl(i) , j )
ao_axis_lapl_grad(i,j,2) = real_of_int(ao_power(i,2)-2) * &
real_of_int(ao_power(i,2)-1) * real_of_int(ao_power(i,2)) * &
ao_axis_power( ao_power(i,2)-3, 2 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,3), 3 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,1), 1 , ao_nucl(i) , j ) &
+ real_of_int(ao_power(i,2)) * &
real_of_int(ao_power(i,3)-1) * real_of_int(ao_power(i,3)) * &
ao_axis_power( ao_power(i,2)-1, 2 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,3)-2, 3 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,1), 1 , ao_nucl(i) , j ) &
+ real_of_int(ao_power(i,1)) * &
real_of_int(ao_power(i,1)-1) * real_of_int(ao_power(i,2)) * &
ao_axis_power( ao_power(i,2)-1, 2 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,3), 3 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,1)-2, 1 , ao_nucl(i) , j )
ao_axis_lapl_grad(i,j,3) = real_of_int(ao_power(i,3)-2) * &
real_of_int(ao_power(i,3)-1) * real_of_int(ao_power(i,3)) * &
ao_axis_power( ao_power(i,3)-3, 3 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,1), 1 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,2), 2 , ao_nucl(i) , j ) &
+ real_of_int(ao_power(i,3)) * &
real_of_int(ao_power(i,1)-1) * real_of_int(ao_power(i,1)) * &
ao_axis_power( ao_power(i,3)-1, 3 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,1)-2, 1 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,2), 2 , ao_nucl(i) , j ) &
+ real_of_int(ao_power(i,2)) * &
real_of_int(ao_power(i,2)-1) * real_of_int(ao_power(i,3)) * &
ao_axis_power( ao_power(i,3)-1, 3 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,1), 1 , ao_nucl(i) , j ) * &
ao_axis_power( ao_power(i,2)-2, 2 , ao_nucl(i) , j )
enddo
enddo
END_PROVIDER