In computational chemistry and molecular physics, Gaussian orbitals (also known as Gaussian type orbitals, GTOs or Gaussians) are functions used as atomic orbitals in the LCAO method for the representation of electron orbitals in molecules and numerous properties that depend on these.[1]
^Gill, Peter M.W. (1994). "Molecular integrals Over Gaussian Basis Functions" (PDF). Advances in Quantum Chemistry. 25: 141–205. Bibcode:1994AdQC...25..141G. doi:10.1016/S0065-3276(08)60019-2. ISBN 9780120348251. Retrieved 17 June 2011.
molecular physics, Gaussianorbitals (also known as Gaussian type orbitals, GTOs or Gaussians) are functions used as atomic orbitals in the LCAO method...
optics, a Gaussian beam is an idealized beam of electromagnetic radiation whose amplitude envelope in the transverse plane is given by a Gaussian function;...
In mathematics, a Gaussian function, often simply referred to as a Gaussian, is a function of the base form f ( x ) = exp ( − x 2 ) {\displaystyle f(x)=\exp(-x^{2})}...
coordinate system Gaussian grid Gauss lens Double-Gauss lens Gaussian optics Gauss's principle of least constraint For orbit determination in orbital mechanics:...
In quantum mechanics, an atomic orbital (/ˈɔːrbɪtəl/) is a function describing the location and wave-like behavior of an electron in an atom. This function...
The Gaussian gravitational constant (symbol k) is a parameter used in the orbital mechanics of the Solar System. It relates the orbital period to the...
Laguerre-Gaussian mode with rotational mode number l ≠ 0 {\displaystyle l\neq 0} has such a helical wavefront. The classical expression of the orbital angular...
number for an atomic orbital that determines its orbital angular momentum and describes aspects of the angular shape of the orbital. The azimuthal quantum...
preliminary orbit determination Gauss's Easter algorithm Gauss separation algorithm This disambiguation page lists articles associated with the title Gaussian algorithm...
of Arts and Sciences. 18: 636–646. Blustin PH (1978). "A Floating GaussianOrbital calculation on argon hydrochloride (Ar·HCl)". Theoretica Chimica Acta...
quantum chemistry community. The Gaussian molecular orbital methods were described in the 1986 book Ab initio molecular orbital theory by Warren Hehre, Leo...
applications, including factoring and solving linear systems of equations. In Gaussianorbital basis sets, phase estimation algorithms have been optimized empirically...
region. The terms atomic orbital and molecular orbital were introduced by Robert S. Mulliken in 1932 to mean one-electron orbital wave functions. At an elementary...
A Gaussian year is defined as 365.2568983 days. It was adopted by Carl Friedrich Gauss as the length of the sidereal year in his studies of the dynamics...
molecular orbitals, which can be numbered i = 1 to n and which may not all be the same. The expression (linear expansion) for the i th molecular orbital would...
the orbital period, as above. Astronomy portal Gaussian gravitational constant Kepler orbit Mean anomaly Mean longitude Mean motion resonance Orbital elements...
components per matrix element. The Gaussian unitary ensemble GUE ( n ) {\displaystyle {\text{GUE}}(n)} is described by the Gaussian measure with density 1 Z GUE...
{\displaystyle \mu _{\mathrm {B} }={\frac {e\hbar }{2m_{\mathrm {e} }}}} and in the Gaussian CGS units as μ B = e ℏ 2 m e c , {\displaystyle \mu _{\mathrm {B} }={\frac...
Spreeuw, R.; Woerdman, J. (1992). "Orbital angular momentum of light and the transformation of Laguerre-Gaussian laser modes". Phys. Rev. A. 45 (11):...
sidus 'asterism, star'), also called a sidereal orbital period, is the time that Earth or another planetary body takes to orbit the Sun once with respect to the fixed...
ATMOL, Gaussian, IBMOL, and POLYAYTOM, began to be used to speed ab initio calculations of molecular orbitals. Of these four programs, only Gaussian, now...
axis. This spinning carries orbital angular momentum with the wave train, and will induce torque on an electric dipole. Orbital angular momentum is distinct...
years. Physics portal Gravity of Earth Standard gravity Gaussian gravitational constant Orbital mechanics Escape velocity Gravitational potential Gravitational...
listing. Slater-type orbitals (STOs) as basis functions for both molecular and periodic calculations, in contrast to Gaussianorbitals (GTOs) and plane waves...
calendar year is an approximation of the number of days of the Earth's orbital period, as counted in a given calendar. The Gregorian calendar, or modern...
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