William Weltner

William Weltner's AcademicInfluence.com Rankings

William Weltner

Chemistry

#3003

World Rank

#3981

Historical Rank

chemistry Degrees

Download Badge

Chemistry

Why Is William Weltner Influential?

(Suggest an Edit or Addition)

(See a Problem?)

William Weltner's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Carbon molecules, ions, and clusters (1989) (675)
Magnetic atoms and molecules (1983) (461)
Si3Si7. Experimental and theoretical infrared spectra (1995) (169)
TRANSITION METAL MOLECULES (1984) (166)
ESR of Mn2 and Mn5 molecules in rare‐gas matricesa) (1983) (138)
Spectroscopy of Carbon Vapor Condensed in Rare‐Gas Matrices at 4° and 20°K. I (1964) (122)
Electron spin resonance of the C6, C8, and C10 molecules (1988) (113)
The Vibrational Spectrum, Associative and Thermodynamic Properties of Acetic Acid Vapor (1955) (110)
Spectroscopy of Carbon Vapor Condensed in Rare‐Gas Matrices at 4°K. III (1966) (110)
Methyl Alcohol: The Entropy, Heat Capacity and Polymerization Equilibria in the Vapor, and Potential Barrier to Internal Rotation (1951) (107)
Spectroscopy of carbon molecules. IV. C4, C5, C6 (and C9) (1971) (101)
ESR of Cu(NO3)2 and CuF2 Molecules Oriented in Neon and Argon Matrices at 4°K (1966) (95)
Hyperfine Interaction and Chemical Bonding in MgF, CaF, SrF, and BaF molecules (1971) (95)
ESR of the CN Radical in Inert Matrices (1970) (92)
C2H radical: 13C hyperfine interaction and optical spectrum (1974) (90)
High-spin molecules (1980) (88)
Spectroscopy of Silicon Carbide and Silicon Vapors Trapped in Neon and Argon Matrices at 4° and 20°K (1964) (81)
The C/sub 4/ molecule (1976) (81)
Properties of Sc3, Y3, and Sc13 molecules at low temperatures, as determined by ESR (1983) (78)
B atoms, B2 and H2BO molecules: ESR and optical spectra at 4 °K (1976) (73)
Cell-surface carbohydrates and their interactions. I. NMR or N-acetyl neuraminic acid. (1975) (73)
Spectroscopy of titanium oxide and titanium dioxide molecules in inert matrices at 4.deg.K (1971) (72)
ESR and Optical Spectroscopy of ScO, YO, and LaO in Neon and Argon Matrices; Establishment of Their Ground Electronic States (1967) (69)
MATRIX ISOLATION OF HIGH TEMPERATURE VAPORS: BORIC OXIDE AND CARBON. Technical Report No. C-12 (1962) (66)
Spectroscopy of Titanium, Zirconium, and Hafnium Oxides in Neon and Argon Matrices at 4 and 20°K. (1965) (65)
Spectroscopy of TaO and TaO2 in Neon and Argon Matrices at 4° and 20°K (1965) (65)
ESR and Optical Spectroscopy of the AlO Molecule at 4°K; Observation of an Al Complex and Its Interaction with Krypton (1971) (65)
Spectroscopy of rare earth oxide molecules in inert matrices at 4.deg.K (1971) (65)
The ground state of the Sc2 molecule (1983) (64)
C5 molecule: Structure and infrared frequencies (1989) (59)
Transition‐metal diatomics: Mn2, Mn+2, CrMn (1990) (57)
Hyperfine Interaction, Chemical Bonding, and Isotope Effect in ZnH, CdH, and HgH Molecules (1971) (56)
Hyperfine interaction and structure of a gallium arsenide cluster: Ga2As3 (1993) (55)
Spectroscopy of tungsten oxide molecules in neon and argon matrices at 4° and 20°K (1965) (55)
The antiferromagnetic Mn2 molecule (1981) (54)
Quenching of angular momentum in the ground states of VC, NbC, VSi, and NbSi molecules (1991) (54)
Optical spectra of Be atoms and Be2 molecules in rare gas matrices (1975) (52)
C2O, CN2, and C3O molecules (1971) (51)
Si2, SiH3, and HSiO molecules: ESR at 4 K (1985) (48)
ESR of Co, Rh, Ir trimers and diatomic ions (1992) (48)
CARBONYLSILENE, DIAZASILENE, AND DICARBONYLSILENE MOLECULES- ELECTRON SPIN RESONANCE AND OPTICAL SPECTRA AT 4 K (1977) (46)
Magneto‐infrared spectra of the Si2, Ge2, and Sn2 molecules in rare‐gas matrices (1994) (45)
ESR and Optical Spectroscopy of the RhC Molecule at 4°K (1972) (42)
The ferromagnetic Mn+2 molecule (1988) (42)
Far-infrared spectra of small gallium phosphide, arsenide, and antimonide molecules in rare-gas matrixes at 4 K (1993) (42)
Titanium difluoride and titanium trifluoride molecules: electron spin resonance spectra in rare-gas matrices at 4 K (1977) (42)
On the Spin‐Doubling Constant, γ, and g Tensor in 2Σ Molecules (1970) (41)
Hyperfine interaction and chemical bonding in the PdH molecule (1971) (40)
Orientation of NO2 and Other Molecules in Neon Matrices at 4°K (1965) (40)
Carbonylsilene, diazasilene, and dicarbonylsilene molecules: electron spin resonance and optical spectra at 4 K (1977) (39)
C4O and C6O molecules (1988) (38)
ESR spectrum and structure of the MgOH radical (1973) (38)
N.M.R. spectroscopy and calcium binding of sialic acids: N-glycolylneuraminic acid and periodate-oxidized N-acetylneuraminic acid☆ (1980) (38)
ESR of the triplet molecules CCO and CNN in rare‐gas matrices; isotope and matrix effects (1975) (38)
High spin molecules: ESR and optical spectroscopy of MnH (7Σ) and MnH2 (6A1) at 4 °K (1978) (37)
CrH and CrH2 molecules: ESR and optical spectroscopy at 4 °K (1979) (37)
Electron‐spin resonance and ground states of the boron and aluminum trimers (1992) (37)
ESR of the C6 molecule (1987) (35)
The Matrix-Isolation Technique Applied to High Temperature Molecules (1969) (35)
Optical and ESR spectra of the C4H radical in rare gas matrices at 4 K (1975) (34)
Absorption spectra of molybdenum oxide molecules and molybdenum atoms in neon and argon matrices at 4.deg.K (1975) (34)
Synthesis of Uranium Carbonyls Using Matrix Isolation (1971) (34)
The BCO molecule (1991) (34)
Bonding in the First-Row Transition-Metal Monocarbonyl Molecules (1987) (34)
Electric field theory applied to the hydrogen-1 and carbon-13 nuclear magnetic resonance spectra of carbohydrates (1979) (33)
ESR of chromium metal atoms and molecules in matrices (1985) (33)
ESR spectra of the MnO, MnO2, MnO3, and MnO4 molecules at 4 °K (1977) (32)
Cu7 cluster: Pentagonal bipyramid (1987) (30)
Ground States and Hyperfine‐Structure Separations of ScO, YO, and LaO from ESR Spectra at 4°K (1965) (30)
ESR of the CoC and VC molecules (1986) (30)
Thermodynamics and Vibrational Spectrum of Acetaldehyde (1949) (30)
Cobalt, rhodium, and iridium dioxide molecules and Walsh-type rules (1992) (28)
Hyperfine Interaction and Chemical Bonding in the BeH Molecule (1972) (28)
ESR of the high‐spin (S = 25/2) Mn5 molecule (1982) (27)
Ground electronic states of ZrO+, HfO+, and Nb+2. ESR spectra of the matrix-isolated ions (1994) (27)
NbO molecule: ESR and optical spectra in inert matrices at 4 °K; establishment of its ground electronic state as 4Σ (1974) (26)
High spin molecules: ESR of MnF and MnF2 at 4°K (1977) (26)
Paramagnetism in Diamagnetic Molecules (1958) (26)
Ground electronic states of the scandium carbonyl (ScCO) and niobium carbonyl (NbCO) molecules (1989) (25)
ESR and optical spectra of C2− in various ion pairs trapped at 4°K in solid argon (1974) (23)
Exchange striction in the Mn2 molecule (1989) (23)
Spectroscopy and Franck-Condon Factors of Scandium Fluoride in Neon Matrices at 4°K (1966) (22)
ESR spectrum of the BeOH molecule (1976) (22)
ESR and Optical Spectra of the ScS and YS Molecules (1972) (22)
On Polytypism and Internal Rotation (1969) (21)
Vanadium and Niobium Hexadinitrogen and Hexacarbonyl Complexes: Electron-Spin-Resonance Spectra at 4 K (1999) (21)
ESR of the BS Molecule in Inert Matrices at 4°K (1970) (21)
Gd2: The highest spin diatomic molecule? (1994) (21)
“Acetylenic” Strained Hydrocarbons (1953) (21)
ESR of the BO Molecule in Inert Matrices: A Case of Extreme Preferential Orientation (1971) (21)
ESR of bimetallic transition-metal molecules: Mo and W with Cu, Ag, and Au (1991) (20)
Isovalent transition metal diatomic molecules: ScNi, ScPd, YNi, YPd (1988) (20)
Electron‐spin resonance of the Co, Rh, and Ir dihydride molecules (1992) (20)
Infrared observations of the B3 and Al3 molecules in inert-gas matrices at 4 K (1996) (20)
ESR spectra of the Cu2+, Ag2+, and Au2+ ions (1989) (20)
Magneto-infrared spectra of matrix-isolated NiH and NiH2 molecules and theoretical calculations of the lowest electronic states of NiH2 (1997) (19)
The ground state and zero‐field splitting of the GdO molecule (1981) (19)
TiV and VNi molecules: ESR, ground states, and bonding (1984) (19)
ESR of bimetallic transition metal molecules. 2. Manganese-silver (MnAg), chromium-zinc (CrZn), and diatomics attempted but not observed (1984) (19)
ESR of V(CO)n (n=1 to 3) molecules in rare-gas matrices (1986) (19)
V, Nb, and Ta hydride molecules in deuterium and rare‐gas matrices: Infrared and electron spin resonance spectra (1995) (19)
Electron spin resonance of the boron trimer (1991) (18)
Electron spin resonance of the ytterbium fluoride molecule at 4 K (1978) (18)
FAR-INFRARED MAGNETIC RESONANCE OF MATRIX-ISOLATED NICKELOCENE (1992) (17)
ESR of Cl2− in various ion pairs at 4° K and the theory of V centers (1976) (17)
Matrix‐Isolation Applied to High‐Temperature and Interstellar Molecules: A Review (1978) (17)
Infrared spectra of InP, InAs, and InSb molecules in rare-gas matrixes at 4 K: magnetic effects (1994) (16)
YbH and YbD molecules: ESR and optical spectroscopy in argon matrices at 4 °K (1977) (16)
ESR of bimetallic transition‐metal molecules at 4 K. I. CrCu, CrAg, and CrAu (1983) (15)
Absorption spectrum of BS2 at 4°K (1973) (15)
Absorption Spectrum of Ta Atoms Isolated in an Argon Matrix (1972) (15)
Infrared Spectra of Silane in Solid Argon and Hydrogen (2001) (15)
Esr of the C217O, SiC17O, and 29Si2O molecules (1987) (15)
ScNi and TiCo Molecules (1984) (14)
Sorption and Magnetic Susceptibility Studies on a Graphite-Bromine System (1957) (14)
MAGNETIC MOLECULES IN MATRICES (1995) (14)
Infrared spectra of the GeSi and SnSi molecules in argon matrices (1994) (13)
ESR of methylene in neon, argon, and krypton matrices (1976) (13)
Spin-lattice relaxation-times for two isomers of N-acetylneuraminyllactose (1980) (13)
Infrared Observation of 2,3-Didehydrogenated Naphthalene (2,3-Naphthyne) in Inert Gas Matrixes at 4 K (1995) (13)
ESR of the BH4 molecule in solid hydrogen (1997) (12)
Spectroscopy of Carbon Vapor Condensed in Inert Matrices at 4° and 20°K (1962) (12)
ENDOR/ESR of Mn atoms and MnH molecules in solid argon (1986) (12)
Ground State of Zirconium Monoxide from Neon Matrix Investigations at 4° K (1965) (11)
MnF2 and MnH2 molecules (S = 5/2): “extra” lines in their ESR spectra☆ (1979) (11)
ENDOR of the MnH molecule (1986) (10)
Hyperfine Structure in N via Electron Spin Resonance at 4 K (2000) (10)
Reply to Comment by D. P. Gilra on ’’C2H radical: 13C hyperfine interaction and optical spectrum’’ [J. Chem. Phys. 60, 3817 (1974)] (1975) (10)
ESR of GdF3 and related molecules at 4 °K (1981) (9)
Fourier‐transform infrared magneto‐optical spectra of the Se2, TeSe, and Te2 molecules in rare‐gas matrices at 4 K (1993) (8)
High-spin molecules: electron spin resonance of manganese halides and sulfide at 4 K (1982) (8)
Observation of a complex formed between RhH2 and methane molecules (1993) (8)
ESR spectrum and ground state of the ScCr molecule (1990) (7)
TiNb, ZrNb, ZrV, and HfV molecules: ESR, ground states, and isovalency (1995) (7)
ESR of some transition-metal dicarbide molecules (1987) (7)
Matrix-isolated polycarbon molecules (1990) (7)
Infrared spectra of vaporized Pt and Pt+H2 in rare-gas matrices: Unique phonon effects (1997) (6)
The boron-carbon monoxide molecule [Erratum to document cited in CA114(16):150616s] (1991) (6)
Erratum: ESR of the 6Σ CrCu molecule at 4 °K [J. Chem. Phys. 74, 4330 (1981)] (1981) (5)
Carbon molecules in methane and hydrogen matrixes: ESR and photolysis (1993) (5)
ESR of matrix isolated bromine atoms produced in the H+Br2 reaction (1980) (5)
AlO Molecule and the Regular and Inverted II State Anomaly (1970) (5)
Imperfect Gas as an Association Problem (1954) (5)
VCl4Revisited: ESR and Photolysis in Solid Hydrogen, Neon, and Argon; Formation of VH4 (2000) (5)
Electron Spin Resonance of the H···NH2Radical Pair (1997) (4)
ESR of the P3− radical: establishment of the electronic ground state (1999) (4)
ESR of the 6Σ CrCu molecule at 4 °K (1981) (4)
Polytypism and the Origin of the Potential Barrier Hindering Internal Rotation in Molecules (1959) (4)
Quenching of the orbitally-degenerate nickel, palladium, and platinum cations (d9, 2D52) in rare-gas matrices: ESR evidence (1997) (3)
Rotational Magnetic Moment and Diamagnetic Susceptibility of Methane (1956) (3)
EPR of exchange-coupled systems (1990) (2)
An Investigation of the First Row Transition-Metal Fluoride Molecules using ESR Spectroscopy. (1978) (2)
ESR of Small Clusters (1989) (2)
Far‐IR Spectra of Small Gallium Phosphide, Arsenide, and Antimonide Molecules in Rare‐Gas Matrices at 4 K. (1994) (2)
Application of the superposition model to calculate the zero‐field splittings in molecules (1985) (1)
TRANSITION-METAL MONOSILONYLS [M(SiO), M = Cu, Ag, Au, V]: ESR AT 4 K (1996) (1)
ESR in Solid Hydrogen: Triplet Benzene and Naphthalene (1999) (1)
The ground state of the Sc 2 molecule (1983) (1)
Hyperfine Interaction and Structure of a Gallium Arsenide Cluster: Ga2As3. (1993) (1)
Apparatus for electron‐nuclear‐double‐resonance spectroscopy of matrix‐isolated molecules: Application to the CH3 radical in solid argon (1986) (1)
FTIR MAGNETO-OPTIC SPECTRA OF THE $Se_{2}$, TeSe, and $Te_{2}$ MOLECULES IN RARE-GAS MATRICES AT 4K. (1993) (1)
Molecular Information from ESR Spectra: Transition Metal Molecules (1985) (1)
PROPERTIES OF SCANDIUM (SC3), YTTRIUM (Y3), AND SCANDIUM (SC13) MOLECULES AT LOW TEMPERATURES, AS DETERMINED BY ESR (1984) (1)
The boron-carbon monoxide molecule (1991) (1)
Ag7 Cluster: Pentagonal Bipyramid. (1987) (1)
Cobalt, Rhodium, and Iridium Dioxide Molecules and Walsh-Type Rules. (1992) (1)
NbO molecule: ESR and optical spectra in inert matrices at 4$sup 0$K establishment of its ground electronic state as $sup 4$$Sigma$ (1974) (0)
GROUND STATES AND HYPERFINE PARAMETERS FOR SOME TRANSITION-METAL CARBIDE MOLECULES (1986) (0)
Geometrical changes during internal rotation: Evidence from polytypism (1999) (0)
FAR-INFRARED SPECTRA OF SMALL GALLIUM ARSENIDE MOLECULES: GaAs, $GaAs_{2}, Ga_{2}$As, and $GaAs_{3}$ (1993) (0)
THE GROUND STATE AND ZERO-FIELD SPLITTING OF THE GADOLINIUM OXIDE (GDO) MOLECULE (1982) (0)
SPECTROSCOPY OF CARBON MOLECULES. IV. C$sub 4$, C$sub 5$, C$sub 6$, (AND C$sub 9$). (1971) (0)
ELECTRONIC GROUND STATES AND STRUCTURES OF $RhH_{2}$ AND $IrH_{2}$ MOLECULES (1992) (0)
YTTERBIUM MONOHYDRIDE AND YTTERBIUM MONODEUTERIDE MOLECULES- ESR AND OPTICAL SPECTROSCOPY IN ARGON MATRIXES AT 4°K (1977) (0)
High Energy Sources and Materials: High-Temperature Molecules and Molecular Energy Storage. (1980) (0)
THE GROUND STATE OF THE $B_{3}$ MOLECULE (1991) (0)
HIGH SPIN MOLECULES: S = 3 MANGANESE MONOHALIDES AND $S - 5/2$ DIHALIDES (1981) (0)
ESR OF TRANSITION-METAL DIATOMIC IONS: $Cu^{+}_{2}, Ag^{+}_{2}, Au^{+}_{2}$ (1989) (0)
ESR of $V(CO)_{n}$ (N=1 to 3)MOLECULES AT $4^{\circ} K$ (1985) (0)
ESR OF CHROMIUM METAL ATOMS AND MOLECULES IN MATRIXES (1985) (0)
DIATOMIC MOLECULES FORMED BY Mo AND W WITH Cu, Ag, AND Au (1991) (0)
Molecular Beam Transition‐State Complexes Investigated by ESR at 4°K (1974) (0)
Fourier-Transform IR Magneto-Optical Spectra of the Se2, TeSe, and Te2 Molecules in Rare-Gas Matrices at 4 K. (1993) (0)
ESR AND OPTICAL SPECTRA OF THE RhC MOLECULE IN INERT MATRICES AT $4^{\circ} K$ (1972) (0)
ESR OF TRANSITION METAL DIATOMIC IONS: $Mn^{+}_{2}$ (1988) (0)
THE ANTIFERROMAGNETIC $Mn_{2}$ Molecule (1981) (0)
AN ESR AND OPTICAL STUDY OF $C_{2}H$ AND $C_{2}^{-}$ ISOLATED IN INERT GAS MATRICES (1973) (0)
Erratum: The BCO molecule (Journal of Physical Chemistry (1991) 95 (2843)) (1991) (0)
ESR OF $HSi$ AND $Si_{2}$ MOLECULES AT $4^{\circ} K$ (1985) (0)
ESR OF THE BO AND AlO MOLECULES: EVIDENCE FOR A AlO Kr MOLECULE AT $4^\circ K$ (1970) (0)
C$sub 2$O, CN$sub 2$, AND C$sub 3$O MOLECULES. (1971) (0)
ESR OF GADOLINIUM FLUORIDE AND RELATED MOLECULES AT 4 K (1982) (0)
ESR OF Cr METAL MOLECULES AT $4^{\circ}$ (1983) (0)
$S = 4$ and $S = 5$ SPIN STATES OF THE ANTIFERROMAGNETIC $Mn_{2}$ MOLECULE (1988) (0)
Co, Rh, and Ir DIOXIDE MOLECULES AND WALSH RULES FOR TRANSITION-METAL TRIATOMICS (1992) (0)
Infrared Spectra of InP, InAs, and InSb Molecules in Rare‐Gas Matrices at 4 K: Magnetic Effects. (1994) (0)
ESR CHARACTERIZATION OF MATRIX ISOLATED YbH, YbD, AND YbF (1977) (0)
GROUND STATE OF THE $Nb_{2}^{+}$ MOLECULE (1993) (0)
GROUND ELECTRONIC STATUS OF THE VN1, VPd, VPt, NbN1, AND NbPd MOLECULES (1989) (0)
INFRARED SPECTRA OF $Si_{2}, Ge_{2}, Sn_{2}$, SiGe, and SiSn MOLECULES IN RARE-GAS MATRICES ELECTRONIC TRANSITIONS AND MAGNETIC EFFECTS (1994) (0)
HIGH SPIN MOLECULES: S = 7/2 $GdF_{3}$ AND $GdH_{3}$ (1980) (0)
ELECTRONIC GROUND STATE OF THE $ZrO^{+}$ MOLECULE (1993) (0)
UNi, VPd, VPt, NbNi: isovalent transition metal molecules (1988) (0)
HYPERFINE AND ZERO-FIELD SPLITTINGS IN THE $^{6}\Sigma$ CrCu MOLECULE (1980) (0)
Ground Electronic States of the ScCO and NbCO Molecules (1989) (0)
TRANSITION-METAL DIATOMICS: GROUND STATE PROPERTIES OF MnNi, MnPd, and MnPt (1990) (0)
GROUND STATE OF THE $NbH_{2}$ MOLECULE IN RARE GAS AND DEUTERIUM MATRICES (1994) (0)
ESR AND OPTICAL SPECTROSCOPY OF NbO IN INERT MATRICES AT $4^{\circ} K$; ESTABLISHMENT OF ITS ELECTRONIC CROUND STATE (1973) (0)
HYPERFINE AND QUADRUPOLE PARAMETERS OF THE MnH MOLECULE (1986) (0)
Transition metal diatomic and monocarbonyl molecules: an experimental viewpoint (1989) (0)
SPECTRA OF $TaO, TaO_{2}$, WO and $WO_{2}$ IN NEON AND ARGON MATRICES (1964) (0)
Errata: Paramagnetism in Diamagnetic Molecules (1958) (0)
SPECTROSCOPY OF TRANSITION-METAL OXIDE MOLECULES IN RARE-GAS MATRICES AT $4^{\circ}$ AND $20^{\circ}K$. (1965) (0)
$C_{n}O$ MOLECULES (1987) (0)
A VIBRATIONAL INVESTIGATION OF THE LINEAR ISOMERS OF CYANOGEN (1997) (0)
GROUND STATE OF THE $C_{6}$ MOLECULE (1987) (0)
ISOELECTRONIC TRANSITION-METAL DIATOMIC MOLECULES: ScNi, ScPd, YNi, YPd (1988) (0)
CrH ($6_{\Sigma}$) AND $CrH_{2} (^{5}A_{1})$ MOLECULES: ESR AND OPTICAL SPECTROSCOPY AT $4^{\circ} K$. (1979) (0)
BI-METALLIC MOLECULES: ESR OF MANGANESE-AND CHROMIUM-CONTAINING SPECIES (1982) (0)
$ TiF_{2} $ AND $TIF_{3}$ MOLECULES: ESR SPECTRA IN RARE-GAS MATRICES (1977) (0)
ESRAND OPTICAL STUDIES OF THE $M^{+}C_{2}^{-}$ AND $C_{4}$ MOLECULES (1974) (0)
ESR SPECTROSCOPY OF CARBON, BORON, AND ALUMINUM VAPORS, AND THEIR REACTION PRODUCTS, ISOLATED IN SOLID HYDROGEN (1997) (0)
ESR spectrum and stucture of the MgOH radical (1973) (0)
SPECTROSCOPY OF $C_{3}$ AND $SiC_{2}$ MOLECULES IN NEON AND ARGON MATRICES (1963) (0)
LiCr AND NaCr MOLECULES (1984) (0)
TRANSITION-METAL DIATOMICS; ScNi, TiCo, TiV, VNi (1984) (0)

This paper list is powered by the following services:

What Schools Are Affiliated With William Weltner?

William Weltner is affiliated with the following schools:

University of Florida

William Weltner's Academic­Influence.com Rankings

Why Is William Weltner Influential?

William Weltner's Published Works

Published Works

What Schools Are Affiliated With William Weltner?

William Weltner's AcademicInfluence.com Rankings