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(...), but computes gradients of the basis function values, too.
       int 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 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.

   Additional Inherited Members

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.
   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.
   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.
   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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