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Function used in quantum chemistry
Slater-type orbitals (STOs) or Slater-type functions (STFs) are functions used as atomic orbitals in the linear combination of atomic orbitals molecular
Slater-type_orbital
Mathematical function used to approximate atomic orbitals in quantum chemistry
electron in its lowest energy level, or 1s orbital, within an atom. Such functions are a type of Slater-type orbital (STO). They offer a balance between accuracy
1s_Slater-type_function
Function describing an electron in an atom
{\displaystyle m_{s}} . The simple names s orbital, p orbital, d orbital, and f orbital refer to orbitals with angular momentum quantum number ℓ = 0, 1, 2
Atomic_orbital
Mathematical function
orbitals in electronic structure theory (instead of the more physical Slater-type orbitals) was first proposed by Samuel Francis Boys in 1950. The principal
Gaussian_orbital
Basis sets used in quantum chemistry
(1969). "Self-Consistent Molecular-Orbital Methods. I. Use of Gaussian Expansions of Slater-Type Atomic Orbitals". Journal of Chemical Physics. 51 (6):
STO-nG_basis_sets
Topics referred to by the same term
oil company Semi-automatic train operation Slater-type orbital, atomic orbitals STO-nG basis sets, of orbitals Space Tornado Ogawa, a professional wrestling
STO
Set of functions used to represent the electronic wave function
minimal Slater-type orbital basis set, with n representing the number of Gaussian primitive functions used to represent each Slater-type orbital. Minimal
Basis_set_(chemistry)
Technique in quantum chemistry
i.e. Slater-type orbitals, but other choices are possible, such as the Gaussian functions from standard basis sets or the pseudo-atomic orbitals from
Linear combination of atomic orbitals
Linear_combination_of_atomic_orbitals
Computational chemistry software
Pople's use of Gaussian orbitals to speed up molecular electronic structure calculations as opposed to using Slater-type orbitals, a choice made to improve
Gaussian_(software)
African-American physicist
methods for the evaluation of overlap and Coulomb integrals over Slater-type orbitals (STOs) for molecular calculations. He is credited as a founder of
Herbert_W._Jones
Measurement in atomic physics
the mean radius of the orbital for hydrogen, and ⟨ r ⟩ Z {\displaystyle \langle r\rangle _{Z}} is the mean radius of the orbital for a proton configuration
Effective_nuclear_charge
Approximation method in quantum physics
composed of a linear combination of one or more Gaussian-type orbitals, rather than Slater-type orbitals, in the interests of saving large amounts of computation
Hartree–Fock_method
American physicist (1900–1976)
university. Slater's name is part of the terms Bohr-Kramers-Slater theory, Slater determinant and Slater orbital. Slater's father, John Rothwell Slater, was
John_C._Slater
TDDFT GWA ABINIT PW 3d Yes No No Unknown No No No No Yes Yes Yes Slater-type_orbital ACES GTO No No No Yes Unknown Yes Unknown No up to Q Yes Unknown
List of quantum chemistry and solid-state physics software
List_of_quantum_chemistry_and_solid-state_physics_software
Observatory Sky anchor Sky brightness Skyrmion Slack water Slater-type orbital Slater determinant Slater integrals Slave boson Slavnov–Taylor identities Slender-body
Index_of_physics_articles_(S)
Type of triangular number
mathematical chemistry is given by the numbers of overlap integrals between Slater-type orbitals. Another example of this phenomenon from combinatorics is that the
Doubly_triangular_number
Method for describing the electronic structure of molecules using quantum mechanics
main requirements for atomic orbital combinations to be suitable as approximate molecular orbitals. The atomic orbital combination must have the correct
Molecular_orbital_theory
Equations in quantum chemistry
can be of Gaussian-type or Slater-type. It applies to closed-shell molecules or atoms where all molecular orbitals or atomic orbitals, respectively, are
Roothaan_equations
Semi-empirical rules for quantum chemistry
rules were developed by John C. Slater in an attempt to construct simple analytic expressions for the atomic orbital of any electron in an atom. Specifically
Slater's_rules
British theoretical chemist (1925–2004)
quantum chemistry methods, that use basis sets of either Slater type orbitals or Gaussian orbitals to model the wave function. While in the early days these
John_Pople
Rules in computational chemistry
the Slater–Condon rules express integrals of one- and two-body operators over wavefunctions constructed as Slater determinants of orthonormal orbitals in
Slater–Condon_rules
Aspect of quantum chemistry
orbital, "lone pair"), p (unoccupied (p-type) nonbonding orbital, "empty p orbital"; less commonly, the symbols a for "acceptor" or "atomic" orbital and
Localized_molecular_orbitals
Theoretical chemist
calculating multicenter integrals of Slater-type orbitals; coining the concept of contracted Gaussian-type orbitals; the GUGA (Graphical Unitary Group Approach)
Isaiah_Shavitt
Cancelled ESA mission concept to Ganymede
Jupiter Ganymede Orbiter (JGO) was a part of the international Europa Jupiter System Mission (EJSM). It was a proposed orbiter by the ESA slated for lift-off
Jupiter_Ganymede_Orbiter
Mode of arrangement of electrons in different shells of an atom
independently in an orbital, in an average field created by the nuclei and all the other electrons. Mathematically, configurations are described by Slater determinants
Electron_configuration
comprehensive list. Slater-type orbitals (STOs) as basis functions for both molecular and periodic calculations, in contrast to Gaussian orbitals (GTOs) and plane
Amsterdam_Density_Functional
Cancelled NASA mission concept to Europa
Mission – Laplace (EJSM-Laplace), the Jupiter Europa Orbiter (JEO) was a proposed orbiter probe slated for lift-off in 2020 and planned for detailed studies
Jupiter_Europa_Orbiter
American aerospace company (1982-2015)
Orbital Sciences Corporation (commonly referred to as Orbital) was an American company specializing in the design, manufacture, and launch of small- and
Orbital_Sciences_Corporation
American figure skater (born 1999)
Union. October 16, 2017. Slater, Paula (January 24, 2020). "Tennell leads after stellar skate in Greensboro". Golden Skate. Slater, Paula (January 25, 2020)
Amber_Glenn
Sub-Earth orbiting Kepler-37, currently the smallest known exoplanet
liquid water on its surface. The planet orbits a (G-type) star similar to the Sun, named Kepler-37, orbited by a total of four planets. The star has
Kepler-37b
2022 Japanese film
the complicated movement of drones, gravity, and orbital vehicles aboard the space station. The Orbital Children explores interactions with artificial intelligence
The_Orbital_Children
Cancelled NASA orbiter mission to Europa
the Jupiter Europa Orbiter (JEO), NASA's contribution to the planned international Europa Jupiter System Mission (EJSM) that was slated for launch in 2020
Europa_Orbiter
Pollution around Earth by defunct artificial objects
second-stage in an elliptical geocentric orbit with a low-perigee, thus ensuring rapid orbital decay and avoiding long-term orbital debris from spent rocket bodies
Space_debris
Double asteroid system in the outer asteroid belt
component. As a result, the two bodies orbit around the common center of mass which lies in the space between them. The orbital period is approximately 16.50 hours
90_Antiope
Main-belt asteroid binary
discovered in 1872. It orbits in the Cybele group in the far outer asteroid belt. As an asteroid of the dark C spectral type, it is probably composed
121_Hermione
Planned Chinese solar orbiter
The Solar Polar Orbit Observatory (SPO), nicknamed as Kuafu-2 (夸父二号) is a planned space probe aimed at studying the Sun at various latitudes. As the next
Solar_Polar_Orbit_Observatory
Decrease in attraction between an electron and the nucleus
differences in orbital shapes (orbital penetration), the screening strength, S, varies among sublevels (s, p, d, and f). Orbitals of type s have a higher
Shielding_effect
Method in ab initio Quantum Chemistry
one-electron Fock operator, and εi is the orbital energy belonging to the doubly occupied spatial orbital φi. Since the Slater determinant Φ0 is an eigenstate of
Møller–Plesset perturbation theory
Møller–Plesset_perturbation_theory
SpaceX satellite Internet constellation
(340 mi) orbital altitude. These satellites would effectively operate in a third orbital shell, a 550 km (340 mi) orbit, while the higher and lower orbits at
Starlink
Chemistry based on quantum physics
from two s-orbitals, an s-orbital and a p-orbital, or two p-orbitals. A pi (π) bond is formed from a side-to-side overlap of two p-orbitals. The pi bond
Quantum_chemistry
American physicist and chemist (1896–1986)
responsible for the early development of molecular orbital theory, i.e. the elaboration of the molecular orbital method of computing the structure of molecules
Robert_S._Mulliken
Partially-reusable heavy-lift launch vehicle by Blue Origin
design for Apollo EOR), same lift capacity Comparison of orbital launch systems Comparison of orbital launcher families Blue Origin recovery vessel The final
New_Glenn
Rule in geometry of individual molecules
atoms from the lower periods, trends in orbital hybridization depend strongly on both electronegativity and orbital size. In the early 1930s, shortly after
Bent's_rule
Exoplanet orbiting HD 164595
HD 164595 b is a confirmed exoplanet orbiting around a Sun-like star HD 164595 every 40 days some 94.36 light-years away. It was detected with the radial
HD_164595_b
Kuiper belt object, not controlled by an orbital resonance with Neptune
belt object (KBO) that orbits beyond Neptune and is not controlled by an orbital resonance with Neptune. Cubewanos have orbits with semi-major axes in
Classical_Kuiper_belt_object
Habitable artificial satellite
planning instead of a lunar landing a crewed lunar orbital flight and an orbital laboratory station in orbit of Earth, at times called Project Olympus, as
Space_station
Test version of SpaceX spacecraft
under the Commercial Orbital Transportation Services program. The spacecraft orbited the Earth over 300 times before decaying from orbit and reentering the
Dragon Spacecraft Qualification Unit
Dragon_Spacecraft_Qualification_Unit
Concept in chemistry
amount of π-backbonding with the respective orbital mainly localized on Au. The σ-donating carbene orbital is likewise strongly polarized towards C. Stabilization
Intrinsic_bond_orbitals
Energy needed to remove an electron
the wave function of an atom (or molecule) is a Slater determinant or a linear combination of a few Slater determinants" Levine 1991, pp. 290–291. Levine
Ionization_energy
Extrasolar planet
Kepler Mission Archived 2016-03-07 at the Wayback Machine, July 22, 2014, RedOrbit Discovery of a Transiting Planet Near the Snow-Line, David M. Kipping, Guillermo
Kepler-421b
Area of the Solar System beyond the planets, comprising small bodies
structure due to orbital resonances. Over a timescale comparable to the age of the Solar System, Neptune's gravity destabilises the orbits of any objects
Kuiper_belt
Class of partially reusable crew capsules
engineering. The first uncrewed Orbital Flight Test in December 2019 was deemed a partial failure, leading to a second Orbital Flight Test in May 2022, which
Boeing_Starliner
Great Comet of 1997
the K–T impact event. Over many orbits, the cumulative effect of gravitational perturbations on comets with high orbital inclinations and small perihelion
Comet_Hale–Bopp
Tribe of carnivores
enlargement of the mastoid process; and the lack of lateral flare of the orbital border of the zygoma. — Richard H. Tedford Members of this tribe include:
Canini_(tribe)
Atoms with a single valence electron, so they behave like hydrogen
see that in the S1/2 orbital (k = −1), the top two components of Ψ have zero orbital angular momentum like Schrödinger S orbitals, but the bottom two components
Hydrogen-like_atom
Satellite constellation providing voice and data coverage
satellite's expected service life. Significant orbital inclination changes are normally very fuel-intensive, but orbital perturbation analysis aids the process
Iridium satellite constellation
Iridium_satellite_constellation
Canceled orbiter mission concept to Jupiter
Laplace (EJSM-Laplace) was a proposed joint NASA/ESA uncrewed space mission slated to launch around 2020 for the in-depth exploration of Jupiter's moons with
Europa Jupiter System Mission – Laplace
Europa_Jupiter_System_Mission_–_Laplace
Binary brown dwarf system in the constellation Vela
period between 1984 and 2013 may be close to the orbital period of the system (not far from original orbital period estimate by Luhman (2013)). Eric E. Mamajek
Luhman_16
Hypothetical megastructure around a star
that the sky is crawling with infrared sources which look just the way a Type II civilization might look, so there is absolutely no reason to believe that
Dyson_sphere
Tabular arrangement of the chemical elements
describe an orbital in an atom completely: the principal quantum number n, the azimuthal quantum number ℓ (the orbital type), the orbital magnetic quantum
Periodic_table
convergence if the highest occupied molecular orbital (HOMO) and the lowest unoccupied molecular orbital (LUMO) are degenerate. Therefore, the CASPTn method
Complete active space perturbation theory
Complete_active_space_perturbation_theory
American commercial communications satellite launched in 1965
synchronous-orbit satellite were feasible. Its booster was a Thrust Augmented Delta (Delta D). After a series of maneuvers, it reached its geosynchronous orbital
Intelsat_I
Failed late 2014 cargo mission to the ISS
Orbital-3, also known as Orb-3, was an attempted flight of Cygnus, an automated cargo spacecraft developed by United States–based company Orbital Sciences
Cygnus_Orb-3
Australian space company
Anthony Albanese as Australia's first sovereign orbital rocket, took place on 30 July 2025 from Bowen Orbital Spaceport at Abbot Point, Bowen, resulting in
Gilmour_Space_Technologies
Dwarf planet in the asteroid belt
identified. Ceres is close to a 1:1 mean-motion orbital resonance with Pallas (their proper orbital periods differ by 0.2%), but not close enough to
Ceres_(dwarf_planet)
American multinational technology company
Brady, Heather; Kirk, Chris (March 15, 2013). "The Google Graveyard". Slate. Archived from the original on March 16, 2013. Retrieved March 16, 2013
1984 superhero film directed by Jeannot Szwarc
unknown actress, and they instead signed Helen Slater, who was paid $75,000 in a three-picture deal. Slater had four months of physical training to prepare
Supergirl_(1984_film)
Indian crewed orbital spacecraft
Sanskrit: gagana, "celestial" and yāna, "craft, vehicle") is an Indian crewed orbital spacecraft intended to be the formative spacecraft of the Indian Human
Gaganyaan
eccentric heliocentric orbit that reaches further than aphelion of Mars. On March 2, 2019, SpaceX launched its first orbital flight of Dragon 2 (Crew
List of Falcon 9 and Falcon Heavy launches
List_of_Falcon_9_and_Falcon_Heavy_launches
Reusable superheavy-lift general-purpose launch vehicle
the company disclosed a public construction plan for two sub-orbital launch pads, two orbital launch pads, two landing pads, two test stands, and a large
SpaceX_Starship
TV and communications satellite (1983–1994)
Channel, TBS, CNN, ESPN, and The Nashville Network. Galaxy 1 was originally slated for retirement in 1992 and replacement by Galaxy 1R, but the replacement
Galaxy_1
2026 anime series
Bigerou) Voiced by: Takashi Matsuyama A supplier of braindance, an advanced type of immersive media. He owns Sal Bigelow's Braindance Paradise and first appeared
Cyberpunk:_Edgerunners_2
Space Shuttle orbiter (1981–2003)
for the four orbital test flights, but deactivated after STS-4, and removed entirely after STS-9. Columbia was the only spaceworthy orbiter not delivered
Space_Shuttle_Columbia
Modified Boeing 747 airliners used to transport Space Shuttle orbiters
modified Boeing 747 airliners that NASA used to transport Space Shuttle orbiters. One (N905NA) is a 747-100 model, while the other (N911NA) is a short-range
Shuttle_Carrier_Aircraft
American communications satellite
rebuilt as Echostar VI. Following its launch and on-orbit testing, it was placed in geostationary orbit at 73° West, from where it provides broadcast and
EchoStar_VI
States of matter for water as a solid
2023-01-30. Retrieved 2024-04-24. Conde, M.M.; Vega, C.; Tribello, G.A.; Slater, B. (2009). "The phase diagram of water at negative pressures: Virtual ices"
Phases_of_ice
Indian lunar mission (2023–Present)
to 5112 km and orbital period from 2.1 hours to 7.2 hours. The Trans-Earth Injection was done on 13 October 2023 with a targeted orbit of ~380,000 x 180
Chandrayaan-3
American spaceflight and AI company
successful landing of an orbital-class rocket's first stage and the company's SES-10 completed the first reflight of an orbital-class booster in 2017. After
SpaceX
Country in West Asia
2025. The Iranian Space Agency was established in 2004. Iran became an orbital-launch-capable nation in 2009 and is a founding member of the United Nations
Iran
NASA satellite to test the Lunar Gateway orbit
Operations and Navigation Experiment) is a lunar orbiter that is testing and verifying the calculated orbital stability planned for the now canceled Lunar
CAPSTONE
Premature fusion of bones in the skull
deformity. The orbital asymmetry exists typically of a narrower and taller orbit at the ipsilateral side of the head. The contralateral orbit, however, is
Craniosynostosis
1961–1972 American crewed lunar exploration program
first crewed landing. The list of types covered follow-on lunar exploration to include H lunar landings, I for lunar orbital survey missions, and J for extended-stay
Apollo_program
During the end credits, it is revealed that Noah got a new girlfriend, Slater grew up and got a job at the entertainment industry, Blithe gave up her
List of films with post-credits scenes (2010s)
List_of_films_with_post-credits_scenes_(2010s)
Lunar lander variant of SpaceX Starship
lander variant of the Starship spacecraft that is slated to transfer astronauts from a lunar orbit to the surface of the Moon and back. It is being designed
Starship_HLS
Birch, "Orbital Ring Systems and Jacob's Ladders - II", Journal of the British Interplanetary Society, Vol. 36, 1982, 115. (pdf). Paul Birch, "Orbital Ring
List of visionary tall buildings and structures
List_of_visionary_tall_buildings_and_structures
German aerospace company
second launch of Spectrum reached orbit and successfully deployed its payloads, making it the first successful orbital flight from Northern Europe, making
Isar_Aerospace
2020s class of partially reusable spacecraft
27, 2024. Wikimedia Commons has media related to SpaceX Dragon 2. Real-time orbital tracking – uphere.space Real-time orbital tracking – isstracker.pl
SpaceX_Dragon_2
Sixth and most recent crewed Moon landing
during the orbital phase of the mission, maneuvering the spacecraft to alter and maintain its orbital trajectory. In addition to the initial orbital recircularization
Apollo_17
Spanish communications satellite
780.1 km (22,232.7 mi), an apoapsis of 35,808.7 km (22,250.5 mi), and orbital inclination of 0.0°. It is placed at a longitude of 61° W in order to serve
Amazonas_5
Fantasy/mystery book series by Jim Butcher
published first as hardcover, then released in paperback several months later. Orbit Books purchased the series for UK publication and released the first novel
The_Dresden_Files
SpaceX private launch site
the addition of two suborbital test stands along with one orbital launch pad named Orbital Launch Mount B. The expansion could also include a new landing
SpaceX_Starbase
Space Shuttle orbiter (1992–2011)
Angeles. Retrieved April 22, 2026. Campa, Andrew J. (July 19, 2025). "Orbital slides, space shuttle at Exposition Park are almost ready for a big reveal"
Space_Shuttle_Endeavour
"demisable" satellites. For the purposes of this section, the yearly tally of orbital launches by country assigns each flight to the country of origin of the
2027_in_spaceflight
Near-Earth asteroid that fell over Russia in 2013
probably entered an orbital resonance with Jupiter (a common way for material to be ejected from the asteroid belt) which increased its orbital eccentricity
Chelyabinsk_meteor
Hobbles Our Future". Slate. Retrieved June 26, 2024. Saripalli, Srikanth (September 19, 2013). "To Boldly Go Nowhere, for Now". Slate. Retrieved June 26
Criticism of space exploration
Criticism_of_space_exploration
Method for approximating many-body systems
determinants where the electron in orbital i has been excited to orbital a and the electron in orbital j has been excited to orbital b, etc. In this way we generate
Coupled_cluster
2025 smartphone by Apple
2026, the iPhone 17 Pro Max became the first smartphone to leave Earth orbit, capturing photos of the Earth and Moon from deep space. Pre-orders for
IPhone_17_Pro
Experimental uncrewed space habitat
2007). "Bigelow's Second Orbital Module Launches Into Space". Space.com. Retrieved 30 June 2007. "Genesis II Completes 10,000 Orbits!". Bigelow Aerospace
Genesis_II_(space_habitat)
American actor (born 1969)
Netflix thriller Carry-On (2024), where he received praise for his against-type performance as the antagonist. He reprised his role as Nick Wilde in Zootopia
Jason_Bateman
Geostationary communications satellite
silent and was sent to a higher "move orbit" on 19 October 2012 around 23:00 UTC to 166°e. End of GSO, TDRSS type i=9°: 08.07.2024.. Used: TDRS J (Ken
Intelsat_5
travel, tourism, insurance
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travel, tourism, insurance