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NAME

       sc::GaussianShell -

       A Gaussian orbital shell.

SYNOPSIS

       #include <gaussshell.h>

       Inherits sc::SavableState.

   Public Types
       enum PrimitiveType { Normalized, Unnormalized }
       enum GaussianType { Cartesian, Pure }

   Public Member Functions
       GaussianShell (int ncn, int nprm, double *e, int *am, int *pure, double
           **c, PrimitiveType pt=GaussianShell::Normalized, bool
           do_normalize_shell=true)
           A GaussianShell constructor.
       GaussianShell (int ncn, int nprm, double *e, int *am, GaussianType
           pure, double **c, PrimitiveType pt=GaussianShell::Normalized)
           A GaussianShell constructor.
       GaussianShell (const Ref< KeyVal > &)
           Construct a GaussianShell from KeyVal input.
       GaussianShell (StateIn &)
           Restore a GaussianShell from a StateIn object.
       GaussianShell (const Ref< KeyVal > &, int pure)
           Construct a GaussianShell from KeyVal input.
       void save_data_state (StateOut &)
           Save the base classes (with save_data_state) and the members in the
           same order that the StateIn CTOR initializes them.
       int nprimitive () const
           The number of primitive Gaussian shells.
       int ncontraction () const
           The number of contractions formed from the primitives.
       int nfunction () const
           The number of basis functions.
       int max_angular_momentum () const
           The maximum angular momentum in the shell.
       int min_angular_momentum () const
           The minimum angular momentum in the shell.
       int max_cartesian () const
           The maximum number of Cartesian functions in any contraction.
       int am (int con) const
           The angular momentum of the given contraction.
       int max_am () const
           The maximum angular momentum of any contraction.
       int min_am () const
           The minimum angular momentum of any contraction.
       char amchar (int con) const
           The character symbol for the angular momentum of the given
           contraction.
       int nfunction (int con) const
           The number of basis functions coming from the given contraction.
       int ncartesian () const
           The total number of functions if this shell was Cartesian.
       int ncartesian_with_aminc (int aminc) const
           The total number of Cartesian functions if this shift is applied to
           all of the angular momentums.
       int ncartesian (int con) const
           The number of Cartesian functions for the given contraction.
       int is_cartesian (int con) const
           Returns nonzero if contraction con is Cartesian.
       int is_pure (int con) const
           Returns nonzero if contraction con is solid harmonics.
       int has_pure () const
           Returns nonzero if any contraction is solid harmonics.
       double coefficient_unnorm (int con, int prim) const
           Returns the contraction coef for unnormalized primitives.
       double coefficient_norm (int con, int prim) const
           Returns the contraction coef for normalized primitives.
       double exponent (int iprim) const
           Returns the exponent of the given primitive.
       int values (CartesianIter **, SphericalTransformIter **, const
           SCVector3 &r, double *basis_values)
           Compute the values for this shell at position r.
       int grad_values (CartesianIter **, SphericalTransformIter **, const
           SCVector3 &R, double *g_values, double *basis_values=0) const
           Like values(.
       int hessian_values (CartesianIter **, SphericalTransformIter **, const
           SCVector3 &R, double *h_values, double *g_values=0, double
           *basis_values=0) const
           Like values(.
       double relative_overlap (const Ref< Integral > &, int con, int func1,
           int func2) const
           Returns the intra-generalized-contraction overlap matrix element
           <con func1|con func2> within an arbitrary constant for the shell.
       double relative_overlap (int con, int a1, int b1, int c1, int a2, int
           b2, int c2) const
           Returns the intra-generalized-contraction overlap matrix element
           <con func1|con func2> within an arbitrary constant for the shell.
       int equiv (const GaussianShell *s)
           Returns true if this and the argument are equivalent.
       double extent (double threshold) const
           Returns a radius.
       double monobound (double r) const
           Returns a bound for the basis function.
       void print (std::ostream &=ExEnv::out0()) const
           Print the object.

Detailed Description

       A Gaussian orbital shell.

Constructor & Destructor Documentation

   sc::GaussianShell::GaussianShell (int ncn, int nprm, double * e, int * am,
       int * pure, double ** c, PrimitiveType pt = GaussianShell::Normalized,
       bool do_normalize_shell = true)
       A GaussianShell constructor. Users of GaussianShell must pass pointers
       to newed memory that is kept by GaussianShell and deleted by the
       destructor. The arguments for the following ctor are:

       · ncn is the number of contracted functions (1 except for SP and gen.
         con.)
       · nprm is the number of primitives
       · e gives the exponents (length nprm)
       · am gives the angular momentum (length ncn)
       · pure is 1 for pure am and 0 for cartesian (length ncn)
       · c are the contraction coefficients (length ncn by nprm)
       · pt describes whether the primitive functions are to be considered
         normalized or unnormalized. This effects whether or not c is
         manipulated to give the correct normalization.
       · If do_normalize_shell is true (the default), then the shell
         normalization constants will be folded into the coefficients.

   sc::GaussianShell::GaussianShell (int ncn, int nprm, double * e, int * am,
       GaussianType pure, double ** c, PrimitiveType pt =
       GaussianShell::Normalized)
       A GaussianShell constructor. In this ctor pure is either
       GaussianShell::Cartesian or Gaussian::Pure and all of the contracted
       functions are treated in that way. (The user doesn\’t need to compute
       generate a int*pure vector in this case.)
   sc::GaussianShell::GaussianShell (const Ref< KeyVal > &, int pure)
       Construct a GaussianShell from KeyVal input. If pure is nonzero
       Cartesian functions will be used, otherwise, solid harmonics will be
       used.

Member Function Documentation

   double sc::GaussianShell::extent (double threshold) const
       Returns a radius. All functions in the shell are below threshold
       outside this radius.
   int sc::GaussianShell::grad_values (CartesianIter **,
       SphericalTransformIter **, const SCVector3 & R, double * g_values,
       double * basis_values = 0) const
       Like values(. ..), but computes gradients of the basis function values,
       too.
   int sc::GaussianShell::hessian_values (CartesianIter **,
       SphericalTransformIter **, const SCVector3 & R, double * h_values,
       double * g_values = 0, double * basis_values = 0) const
       Like values(. ..), but computes first and second derivatives of the
       basis function values, too.
   double sc::GaussianShell::monobound (double r) const
       Returns a bound for the basis function. This bound is defined so that
       it is positive and monotonically decreasing as a function of r.
   int sc::GaussianShell::ncartesian_with_aminc (int aminc) const
       The total number of Cartesian functions if this shift is applied to all
       of the angular momentums.
   double sc::GaussianShell::relative_overlap (int con, int a1, int b1, int
       c1, int a2, int b2, int c2) const
       Returns the intra-generalized-contraction overlap matrix element <con
       func1|con func2> within an arbitrary constant for the shell. func1 and
       func2 are determined according to the axis exponents, a1, b1, c1, a2,
       b2, and c2.
   double sc::GaussianShell::relative_overlap (const Ref< Integral > &, int
       con, int func1, int func2) const
       Returns the intra-generalized-contraction overlap matrix element <con
       func1|con func2> within an arbitrary constant for the shell.
   void sc::GaussianShell::save_data_state (StateOut &) [virtual]
       Save the base classes (with save_data_state) and the members in the
       same order that the StateIn CTOR initializes them. This must be
       implemented by the derived class if the class has data.
       Reimplemented from sc::SavableState.
   int sc::GaussianShell::values (CartesianIter **, SphericalTransformIter **,
       const SCVector3 & r, double * basis_values)
       Compute the values for this shell at position r. The basis_values
       argument must be vector of length nfunction().

Author

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