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Added D and F spherical harmonics in pseudo

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This commit is contained in:
Anthony Scemama 2016-07-21 16:04:49 +02:00
parent fa84ab6fa2
commit d71c80afca
1 changed files with 40 additions and 17 deletions
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57
src/pseudo.irp.f
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@ -333,31 +333,54 @@ real function ylm(l,m,x,y,z,r_inv)
continue
case(1)
ylm = ylm * sq3 * r_inv
select case (m)
case (-1)
ylm = ylm * sq3 * y * r_inv
ylm = ylm * y
case (0)
ylm = ylm * sq3 * z * r_inv
ylm = ylm * z
case (1)
ylm = ylm * sq3 * x * r_inv
ylm = ylm * x
end select
case(2)
ylm = ylm * r_inv * r_inv * sqrt(5.)
select case (m)
case(-2)
ylm = ylm * sqrt(3.) * x * y
case(-1)
ylm = ylm * sqrt(3.) * y * z
case(0)
ylm = ylm * 0.5 * (2.*z*z - x*x - y*y)
case(1)
ylm = ylm * sqrt(3.) * z * x
case(2)
ylm = ylm * 0.5 * sqrt(3.) * (x*x - y*y)
end select
case(3)
ylm = ylm * r_inv * r_inv * r_inv * sqrt(7.)
select case (m)
case(-3)
ylm = ylm * 0.25 * sqrt(10.) * (3.*x*x - y*y)
case(-2)
ylm = ylm * sqrt(15.) * x*y*z
case(-1)
ylm = ylm * 0.25*sqrt(6.) * y * (4.*z*z - x*x -y*y)
case(0)
ylm = ylm * 0.5 * z * (2.*z*z - 3.*(x*x + y*y))
case(1)
ylm = ylm * 0.25*sqrt(6.) * x * (4.*z*z - x*x -y*y)
case(2)
ylm = ylm * 0.5*sqrt(15.) * z * (x*x -y*y)
case(3)
ylm = ylm * 0.25*sqrt(10.) * x * (x*x - 3. * y*y)
end select
! case(2)
! select case (m)
! case(-2)
! ylm = ylm * sqrt(15.) * x * y * r_inv * r_inv
! case(-1)
! ylm = ylm * sqrt(15.) * y * z * r_inv * r_inv
! case(0)
! ylm = 0.5 * ylm * sqrt(15.) * (2.*z*z - x*x - y*y) * r_inv * r_inv
! case(1)
! ylm = ylm * sqrt(15.) * z * x * r_inv * r_inv
! case(2)
! ylm = 0.5 * ylm * sqrt(15.) * (x*x - y*y) * r_inv * r_inv
! end select
case default
stop 'problem in Ylm of pseudo'
print *, 'l=', l
stop 'problem in Ylm of pseudo : Ylm not implemented (pseudo.irp.f)'
end select