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Mysteries of polarized light Enantiomers have identical properties (biological significance aside) except in one respect: the rotation of the plane of polarization of light Modern symbols are (+) and (-) and R- and SDays of yore d (dextrorotatory) and l (levorotatory) Racemic mixture contains equal portions of the (+) and (-) Transition metal ions: the chemistry of colour • Colour of complex corresponds to wavelengths of light not absorbed. Observed colour is usually complement of colour absorbed. • All wavelengths absorbed, complex appears black. • No light absorbed, complex appears white (colourless). • Why is colour prevalent in transition metal compounds? The artist’s wheel Review of variable valence: counting d electrons Transition metal ions have variable oxidation state Electron configurations of the elements: 4s23dn with some exceptions Electron configurations of the ions: 4s electrons are removed first, followed by the d electrons No 1st row transition metal ions have 4s electrons All ions have configuration 3dm Counting d electrons Valence bond reprise Valence bond theory is the simplest approach to an orbital picture of covalent bonds Each covalent bond is formed by an overlap of atomic orbitals from each atom The individual orbital identity is retained The bond strength is proportional to the amount of orbital overlap Valence bond picture in complexes In the conventional covalent bond, each atomic orbital brings one electron with it In the coordination complex, the ligand provides both, while the metal orbital is empty Geometry and hybridization Original atomic orbitals are mixed into hybrid orbitals that match directional requirements for bonding No of orbitals matches no of charge groups Square planar is not seen with main group 4coordinate molecules Coordination Geometry number 2 Linear 4 Tetrahedral 4 Square Planar 6 Octahedral Hybrid orbitals sp sp3 dsp2 d2sp3 or sp3d2 Example [Ag(NH3)2]+ [CoCl4]2[Ni(CN)4]2[Cr(H2O)6]3+ Electrons and magnetism Electrons have magnetic moments due to electron spin Paramagnetism: substance attracted by magnetic field Diamagnetism: substance repelled by magnetic field Paramagnetic effect is much greater than diamagnetic effect Diamagnetic substances have no unpaired electrons Paramagnetic substances have unpaired electrons Electron configurations and geometry Electronic configuration of Co2+ is [Ar]3d7 Empty 4s and 4p orbitals are used for bonding in tetrahedral complex 3d 4s 4p Three unpaired d electrons mean that the Co2+ is paramagnetic Metal electrons Ligand electrons Square planar: How? VSEPR predicts 4-coordinate is tetrahedral (sp3) Ni2+ complexes are square planar not tetrahedral Electronic configuration of Ni2+ is 3d8 Square planar geometry is dsp2 Use of one d orbital for ligand forces pairing of the Ni d electrons into just four 3d orbitals Ni(CN)42- is diamagnetic (all electrons paired) Octahedral complexes show options even for same dn Two options: d2sp3 or sp3d2 Same or different? Low spin Co(CN)63- diamagnetic (d6) d2sp3 3d 4s 4p High spin CoF63- paramagnetic (d6) sp3d2 3d 4s 4p 4d Let’s spin You are probably wondering: Why are some complexes high-spin and others low spin? Can you predict it? Valence bond theory describes bonding in complexes consistent with observed magnetic properties; it cannot explain why the ligands dictate one over the other Enter the crystal field theory… The crystal field theory Ligands are like negative charges Central metal ion is positive charge Size of repulsion between between ligands and d orbitals on metal ion is the basis of the theory Interaction between ligands and d orbitals determines orbital energy Three dxy etc interact least with the ligands Two dx2-y2 and dz2 interact most with the ligands in an octahedral field Orbitals “miss” the ligands Orbitals “hit” the ligands Crystal field splitting of d orbitals Orbitals that interact more strongly with ligands have higher energy The result is a splitting of the levels In octahedral field the gang of two (dz2 and dx2-y2) are higher than the gang of three (dxy, dxz and dyz) Crystal field and the colour problem Electrons in partially filled d orbitals can be excited from lower occupied to higher unoccupied orbitals Frequency of absorption is proportional to crystal field splitting: Δ = hc/λ Δ corresponds to photons in visible range Transition metal compounds have colors Coat of many colours Transition metal complexes have colours that vary strongly with the ligand (different Δ) Spectrochemical series orders ligands according to the degree of crystal field splitting achieved Complex Wavelength abs Color abs Color seen CoF63- 700 red Green Co(H2O63+ 600 orange Blue Co(NH3)5H2O 500 Blue-green Red Co(NH3)63+ 475 blue Yellow Co(CN)63- 310 ultraviolet Pale yellow Calculating crystal field splitting An absorption peak of 500 nm corresponds to a crystal field splitting of (6.626x1034 J .s)(3.00x108 m / s) 19 3 . 98 x 10 J 9 500x10 m hc On a molar basis 19 (3.98x10 J / ion)(6.02x10 ion / mol ) 240kJ / mol 23 Higher the photon energy, higher the Δ Spectrochemical series of ligands Weak field I-<Br-<Cl-<F-<H2O<NH3<en<CN-<CO Strong field When the d orbitals are empty (d0) or full (d10), the complexes are colourless – no d – d transitions The theory successfully accounts for observed optical and magnetic properties Comparison of Co(CN)63- andCoF63 Electrons don’t want to be paired Electrons don’t like heights Electronic balancing act: Opposition of electronelectron repulsion (P) and lower energy of lower lying orbitals (Δ) High-spin complex: Δ is lower than P (electrons unpaired, repulsion dominates) Low-spin complex: Δ is higher than P (electrons pair, lower energy of the lower orbitals) Important note Low-spin, high-spin dichotomy only occurs for d4 – d7. d1 – d3 and d8 – d10 only have one configuration Crystal field splitting in square planar and tetrahedral complexes Tetrahedral is inverse of octahedral Δ is lower than in octahedral because of fewer ligands – all complexes high-spin Crystal field splitting in square planar is between the high-lying d x y and the d xy orbital Square planar is favoured for d8 configuration 2 2