MADNESS 0.10.1
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Namespace storing mathematical and physical constants. More...
Variables | |
constexpr double | atomic_mass_constant = 1.660538782e-27 |
Mass constant in atomic units. | |
constexpr double | atomic_mass_in_au = 1822.88848 |
Atomic mass in atomic units. | |
constexpr double | atomic_unit_of_1st_hyperpolarizablity = 3.206361533e-53 |
First hyperpolarizability in atomic units. | |
constexpr double | atomic_unit_of_2nd_hyperpolarizablity = 6.23538095e-65 |
Second hyperpolarizability in atomic units. | |
constexpr double | atomic_unit_of_action = 1.054571628e-34 |
Action in atomic units. | |
constexpr double | atomic_unit_of_charge = 1.602176487e-19 |
Charge in atomic units. | |
constexpr double | atomic_unit_of_charge_density = 1.081202300e12 |
Charge density in atomic units. | |
constexpr double | atomic_unit_of_current = 6.62361763e-3 |
Current in atomic units. | |
constexpr double | atomic_unit_of_electric_dipole_moment = 8.47835281e-30 |
Electric dipole moment in atomic units. | |
constexpr double | atomic_unit_of_electric_field = 5.14220632e11 |
Electric field in atomic units. | |
constexpr double | atomic_unit_of_electric_field_gradient = 9.71736166e21 |
Electric field gradient in atomic units. | |
constexpr double | atomic_unit_of_electric_polarizablity = 1.6487772536e-41 |
Electric polarizability in atomic units. | |
constexpr double | atomic_unit_of_electric_potential = 27.21138386 |
Electric potential in atomic units. | |
constexpr double | atomic_unit_of_electric_quadrupole_moment = 4.48655107e-40 |
Electric quadrupole moment in atomic units. | |
constexpr double | atomic_unit_of_energy = 4.35974394e-18 |
Energy in atomic units. | |
constexpr double | atomic_unit_of_force = 8.23872206e-8 |
Force in atomic units. | |
constexpr double | atomic_unit_of_length = 0.52917720859e-10 |
Length in atomic units. | |
constexpr double | atomic_unit_of_magnetic_dipole_moment = 1.854801830e-23 |
Magnetic dipole moment in atomic units. | |
constexpr double | atomic_unit_of_magnetic_flux_density = 2.350517382e5 |
Magnetic flux density in atomic units. | |
constexpr double | atomic_unit_of_magnetizability = 7.891036433e-29 |
Magnetizability in atomic units. | |
constexpr double | atomic_unit_of_mass = 9.10938215e-31 |
Mass in atomic units. | |
constexpr double | atomic_unit_of_momentum = 1.992851565e-24 |
Momentum in atomic units. | |
constexpr double | atomic_unit_of_permittivity = 1.112650056e-10 |
Permittivity in atomic units. | |
constexpr double | atomic_unit_of_time = 2.418884326505e-17 |
Time in atomic units. | |
constexpr double | atomic_unit_of_velocity = 2.1876912541e6 |
Velocity in atomic units. | |
constexpr double | au2invcm = 219474.6313705 |
conversion from atomic units in reciprocal centimeter | |
constexpr double | Avogadro_constant = 6.02214179e23 |
Avogadro's number. | |
constexpr double | Bohr_magneton = 927.400915e-26 |
Bohr magneton. | |
constexpr double | Bohr_radius = 0.52917720859e-10 |
Bohr radius. | |
constexpr double | Boltzmann_constant = 1.3806504e-23 |
Boltzmann constant. | |
constexpr double | calorie_joule_relationship = 4.184000000 |
1 kcal/mol = 4.184 kJ/mol. | |
constexpr double | Compton_wavelength = 2.4263102175e-12 |
Compton wavelength. | |
constexpr double | conductance_quantum = 7.7480917004e-5 |
Quantum of conductance, ![]() | |
constexpr double | Debye = 3.335640035e-30 |
Cm (coulomb metre). | |
constexpr double | dielectric_constant = 8.854187817e-12 |
the dielectric constant ![]() | |
constexpr double | electron_g_factor = -2.0023193043622 |
Electron ![]() | |
constexpr double | electron_gyromagnetic_ratio = 1.760859770e11 |
Electron gyromagnetic ratio. | |
constexpr double | electron_magnetic_moment = -928.476377e-26 |
Electron magnetic moment. | |
constexpr double | electron_magnetic_moment_anomaly = 1.15965218111e-3 |
Electron magnetic moment anomaly. | |
constexpr double | electron_magnetic_moment_to_Bohr_magneton_ratio = -1.00115965218111 |
Ratio between the electron magnetic moment and Bohr magneton. | |
constexpr double | electron_magnetic_moment_to_nuclear_magneton_ratio = -1838.28197092 |
Ratio between the electron magnetic moment and nuclear magneton. | |
constexpr double | electron_mass = 9.10938215e-31 |
Electron mass. | |
constexpr double | electron_proton_mass_ratio = 5.4461702177e-4 |
Ratio of the electron to proton mass. | |
constexpr double | electron_volt = 1.602176487e-19 |
Electron volt. | |
constexpr double | electron_volt_hartree_relationship = 3.674932540e-2 |
Electron volt to Hartree conversion. | |
constexpr double | electron_volt_hertz_relationship = 2.417989454e14 |
Electron volt to Hertz relationship. | |
constexpr double | electron_volt_joule_relationship = 1.602176487e-19 |
Electron volt to Joule relationship. | |
constexpr double | elementary_charge = 1.602176487e-19 |
Elementary charge. | |
constexpr double | Faraday_constant = 96485.3399 |
Faraday constant. | |
constexpr double | Fermi_coupling_constant = 1.16637e-5 |
Fermi coupling constant. | |
constexpr double | fine_structure_constant = 7.2973525376e-3 |
Fine structure constant. | |
constexpr double | hartree_electron_volt_relationship = 27.21138386 |
Hartree to electron volt relationship. | |
constexpr double | Hartree_energy = 4.35974394e-18 |
Hartree energy in Joules. | |
constexpr double | hartree_hertz_relationship = 6.579683920722e15 |
Hartree energy in Hertz. | |
constexpr double | hartree_inverse_meter_relationship = 2.194746313705e7 |
Hartree energy in inverse meters. | |
constexpr double | hartree_joule_relationship = 4.35974394e-18 |
Hartree energy in Joules. | |
constexpr double | hartree_kelvin_relationship = 3.1577465e5 |
Hartree energy in Kelvin. | |
constexpr double | hertz_electron_volt_relationship = 4.13566733e-15 |
Hertz energy in electron volts. | |
constexpr double | hertz_hartree_relationship = 1.519829846006e-16 |
Hertz energy in Hartrees. | |
constexpr double | hertz_joule_relationship = 6.62606896e-34 |
Hertz energy in Joules. | |
constexpr double | hertz_kelvin_relationship = 4.7992374e-11 |
Hertz energy in Kelvin. | |
constexpr double | inv_sqrt_pi = 0.564189583547756286948079451561 |
Mathematical constant ![]() | |
constexpr double | nuclear_magneton = 5.05078324e-27 |
Nuclear magneton. | |
constexpr double | nuclear_magneton_in_eV_per_T = 3.1524512326e-8 |
Nuclear magneton in electron volts per Tesla. | |
constexpr double | pi = 3.14159265358979323846264338328 |
Mathematical constant ![]() | |
constexpr double | Planck_constant = 6.62606896e-34 |
Planck's constant. | |
constexpr double | Planck_constant_over_2_pi = 1.054571628e-34 |
Reduced Planck's constant. | |
constexpr double | proton_electron_mass_ratio = 1836.15267247 |
Ratio of proton to electron mass. | |
constexpr double | proton_g_factor = 5.585694713 |
Proton ![]() | |
constexpr double | proton_gyromagnetic_ratio = 2.675222099e8 |
Proton gyromagnetic ratio. | |
constexpr double | proton_magnetic_moment = 1.410606662e-26 |
Proton magnetic moment. | |
constexpr double | proton_mass = 1.672621637e-27 |
Proton mass. | |
constexpr double | Rydberg_constant = 10973731.568527 |
Rydberg constant. | |
constexpr double | speed_of_light_in_vacuum = 299792458 |
Speed of light in a vacuum. | |
constexpr double | speed_of_light_in_vacuum_in_au = 1.0/fine_structure_constant |
speed of light in vacuum in au | |
constexpr double | sqrt_pi = 1.77245385090551602729816748334 |
Mathematical constant ![]() | |
constexpr double | Stefan_Boltzmann_constant = 5.670400e-8 |
Stefan-Boltzmann constant. | |
constexpr double | unified_atomic_mass_unit = 1.660538782e-27 |
Unified atomic mass unit. | |
Namespace storing mathematical and physical constants.
Mass constant in atomic units.
Referenced by madness::Nemo::compute_IR_intensities().
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Atomic mass in atomic units.
Referenced by madness::Nemo::compute_IR_intensities(), madness::MolecularOptimizer::compute_reduced_mass(), compute_reduced_mass(), madness::Atom::get_mass_in_au(), projector_external_dof(), and madness::MolecularOptimizer::projector_external_dof().
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First hyperpolarizability in atomic units.
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Second hyperpolarizability in atomic units.
Action in atomic units.
Charge in atomic units.
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Charge density in atomic units.
Current in atomic units.
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Electric dipole moment in atomic units.
Referenced by madness::Nemo::compute_IR_intensities().
Electric field in atomic units.
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Electric field gradient in atomic units.
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Electric polarizability in atomic units.
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Electric potential in atomic units.
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Electric quadrupole moment in atomic units.
Energy in atomic units.
Force in atomic units.
Length in atomic units.
Referenced by madness::Molecule::Molecule(), madness::Molecule::add_atom(), madness::Molecule::add_atom(), madness::Nemo::compute_IR_intensities(), madness::Molecule::read(), MolecularEntity::read_file(), and madness::Molecule::read_xyz().
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Magnetic dipole moment in atomic units.
Magnetic flux density in atomic units.
Magnetizability in atomic units.
Mass in atomic units.
Momentum in atomic units.
Permittivity in atomic units.
Time in atomic units.
Velocity in atomic units.
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conversion from atomic units in reciprocal centimeter
Referenced by madness::Nemo::hessian(), and madness::MolecularOptimizer::optimize_quasi_newton().
Avogadro's number.
Referenced by madness::Nemo::compute_IR_intensities().
Boltzmann constant.
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1 kcal/mol = 4.184 kJ/mol.
Compton wavelength.
Quantum of conductance,
the dielectric constant
Referenced by madness::Nemo::compute_IR_intensities().
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Electron
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Electron gyromagnetic ratio.
Electron magnetic moment.
Electron magnetic moment anomaly.
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constexpr |
Ratio between the electron magnetic moment and Bohr magneton.
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Ratio between the electron magnetic moment and nuclear magneton.
Ratio of the electron to proton mass.
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Electron volt to Hartree conversion.
Electron volt to Hertz relationship.
Electron volt to Joule relationship.
Elementary charge.
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Faraday constant.
Fermi coupling constant.
Fine structure constant.
Referenced by main(), Ansatz0::make_guess(), and make_sp().
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Hartree to electron volt relationship.
Referenced by madness::TDHF::analyze(), and madness::CC2::solve_lrcc2().
Hartree energy in Joules.
Hartree energy in Hertz.
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Hartree energy in inverse meters.
Hartree energy in Joules.
Hartree energy in Kelvin.
Hertz energy in electron volts.
Hertz energy in Hartrees.
Hertz energy in Joules.
Hertz energy in Kelvin.
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Nuclear magneton in electron volts per Tesla.
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Mathematical constant
Referenced by madness::BandlimitedPropagator::BandlimitedPropagator(), EwaldNuclearPotentialFunctor::EwaldNuclearPotentialFunctor(), FermiNucDistFunctor::FermiNucDistFunctor(), HO_function< NDIM >::HO_function(), MolecularNuclearPotentialFunctor2::MolecularNuclearPotentialFunctor2(), OpFExact::OpFExact(), madness::ProjRLMFunctor::ProjRLMFunctor(), refpotfunctor::refpotfunctor(), madness::SeparatedConvolution< Q, NDIM >::SeparatedConvolution(), SVPESolver::SVPESolver(), A(), A2(), apply_potential(), area_two_spheres(), bend(), madness::GFit< T, NDIM >::bsh_fit(), madness::GFit< T, NDIM >::bsh_fit_ndim(), madness::GFit< T, NDIM >::bsh_spherical_moments(), madness::GFit< T, NDIM >::BSHFit(), charge_function(), madness::trajectory< NDIM >::circle2(), madness::trajectory< NDIM >::circle_6d(), madness::MP2::compute_gQf(), madness::Nemo::compute_IR_intensities(), compute_madelung_energy(), compute_madelung_energy_PWSCF(), conv_prime_g(), converge(), convg(), convg1(), madness::F12Potentials::convolve_with_fg(), madness::F12Potentials::convolve_with_fg(), madness::F12Potentials::convolve_with_fU(), madness::GFit< T, NDIM >::CoulombFit(), madness::d2smoothed_potential(), dfunc(), madness::GaussianDomainMask::dmask(), MolecularMaskBase::dmask(), DSphere::dmask(), madness::RandomizedMatrixDecomposition< T >::do_compute_range(), EwaldNuclearPotentialFunctor::do_G_sum_v1(), EwaldNuclearPotentialFunctor::do_G_sum_v2(), EwaldNuclearPotentialFunctor::do_R_sum_v1(), madness::NuclearCorrelationFactor::dsmoothed_unitvec(), madness::GaussianDomainMask::dsurface(), Ebar(), electronic_charge_function(), madness::CoreOrbital::eval_radial(), madness::CoreOrbital::eval_radial_derivative(), madness::GFit< T, NDIM >::F2GFit(), madness::GFit< T, NDIM >::FGFit(), func(), function(), gaussian(), gaussian1(), gaussian2(), gaussian3(), madness::GFit< T, NDIM >::gaussian_spherical_moments(), gen_ce(), generate_G_vectors(), madness::Solver< T, NDIM >::genkmesh(), gprime(), madness::GradBSHOperator(), GradBSHOperator_Joel(), madness::GradCoulombOperator(), gradPbarA(), madness::GradSlaterOperator(), guess(), madness::MP2::guess_mp1_3(), madness::Solver< T, NDIM >::init(), madness::TwoElectronInterface< T, NDIM >::initialize(), iterate(), iterate_excite(), madness::Nemo::kinetic_energy_potential(), laser(), main(), make_grad_operator(), madness::Nemo::make_laplacian_density(), make_operator(), GygiPot::make_surfcharge(), SurfaceMoleculeInteraction::make_surfcharge(), ContractedGaussianShell::normalize(), madness::ContractedGaussianShell::normalize(), nuc_func(), nuclear_charge_function(), G::operator()(), GConvGNP::operator()(), GConvGRNP::operator()(), uexact::operator()(), Charge::operator()(), DPot::operator()(), madness::ProjRLMFunctor::operator()(), madness::WSTAtomicBasisFunctor::operator()(), SphericalHarmonics::operator()(), uexact::operator()(), GaussianPotential::operator()(), gauss_1d::operator()(), madness::ProjRLMFunctor::operator()(), PbarA(), phi_guess(), potential(), potn(), FermiNucDistFunctor::print_details(), propagate(), propagate(), propagate(), psi_guess(), pw_lhs(), pw_rhs(), q(), random_gaussian(), rho_func(), rho_function(), rk_v(), madness::GFit< T, NDIM >::slater_fit(), madness::smoothed_density(), madness::NuclearCorrelationFactor::smoothed_unitvec(), source(), source1(), MolecularMaskBase::special_points(), madness::GaussianDomainMask::surface(), ConstantSphere::SurfaceIntegral(), InhomoConstantSphere::SurfaceIntegral(), CosineSphere::SurfaceIntegral(), Y20Sphere::SurfaceIntegral(), test_bsh(), test_chin_chen(), test_combined_operators(), test_gaussian_num_coeffs(), test_gconv(), test_gence2(), test_opdir(), test_per(), test_periodic(), test_periodic1(), test_proj(), test_tight_diffuse(), test_trotter(), u(), uinitial(), uinitial(), GygiPot::V_epsilon(), madness::FunctionImpl< T, NDIM >::vol_nsphere(), madness::randomgrid< NDIM >::volume(), volume_two_spheres(), ConstantSphere::VolumeIntegral(), InhomoConstantSphere::VolumeIntegral(), CosineSphere::VolumeIntegral(), Y20Sphere::VolumeIntegral(), w(), and madness::LowRankFunctionFactory< T, NDIM, LDIM >::Yformer().
Reduced Planck's constant.
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Ratio of proton to electron mass.
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Proton
Proton gyromagnetic ratio.
Proton magnetic moment.
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Rydberg constant.
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Speed of light in a vacuum.
Referenced by madness::Nemo::compute_IR_intensities().
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speed of light in vacuum in au
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Mathematical constant
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Stefan-Boltzmann constant.