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Z = proton number = atomic number N = neutron number A = mass number (Z+N) Atomic mass of nuclide = (rest mass – binding energy) relative to 1/12 mass of 12C atom, measured in atomic mass units – amu’s (must be looked up) Atomic weight of element = sum of the masses of the isotopes of that element times their atomic abundance (found in most textbooks) Electrons & orbitals •Pauli exclusion principle •Hunds rule •Aufbau principle More stable: Filled shells Filled subshells Filled and half filled orbital types •Charges •Ionization potential S and px, py and pz orbitals Ionization potential = energy required to remove an electron Electron affinity = energy given off when adding an electron to a neutral atom Electronegativity = (sum of IP & EA) x constant Electronegativity difference of 1.7 = 50% ionic character Electronegativity differences: >2.1 - high ionic character (electrons exchanged) Examples: <0.5 - nonmetals - non -polar covalent bond halite, Mg-O, Ca-O, K-O, Na-O bonds in silicates, carbonates and other oxidiized complex anions Fe-O, also Ti, V, Cr-O bonds in silicates Rare (except for Si-O) Fe-S, also Ni, Cu, Pb, Hg bonds in sulfides also C-O, S-O, Si-O, P-O, N-O in complex ions Graphite, sulfur, realgar, orpiment, <0.5 - high electronegativity metals Gold, silver, platinum group, metallic bonding 1.6-2.1 - metal and non-metal - weak ionic character 1.6-2.1 - nonmetals - polar covalent bond 0.5-1.6 - polar covalent bond Goldschmidt’s classification Covalent bond character – hybrid orbitals form Ionic bonding produces closepacked structures. There is a balance between attraction of oppositely charged ions and repulsion by outer electrons on both. Radius ratio = radius of cation/anion in a bond. This determines the coordination number Ionic Radii Crystal field splitting – orbitals change energy in a surrounding crystal lattice Leads to high spin (larger radius) and low spin electron configurations Produces color in minerals (example Fe+3 with 5 d electrons) Common silicates and oxides: CN = 4 (Si, Al) CN = 6 (Mg, Fe) CN = 8 (Ca, Na) In mantle: olivine, orthopyroxene, clinopyroxene, spinel, garnet In the earth, abundant elements form minerals with specific coordination polyhedra or sites. Minor elements either substitute or form rare minerals. Contours are enrichment in crust/mantle The ability to substitute is controlled by:1) radius; 2) charge (valence); 3) electronegativity (bonding behavior) Mineral/melt partition or distribution coefficients KD = concentration in mineral concentration in liquid Eu has two valences: Eu+2 and Eu+3 Ionic radius You can calculate partition coefficients for any element in any mineral from the radius of the mineral site and elastic properties of the mineral. Continental crust is complement to depleted mantle Bulk partition coefficient = sum of each mineral Kd X the abundance of the mineral during melting or crystallization Bulk Kd > 1 – element is compatible, Bulk Kd < 1 - incompatible Increasing compatibility for mantle melting Kinds of incompatible trace elements: Rb, K, Ba, Sr = large ion lithophile elements (LILE) Th, U, Zr, Hf, Nb = high field strength elements (HFSE) (Field strength = charge/ionic radius) Water and Aqueous solutions Ionic potential = field strength = charge/ radius Residence time = Total mass of element in reservoir (oceans)/influx Grams/(grams/year) Fluid mobile elements (FME) = Rb, Ba, K, Pb, Sr Fluid immobile elements = Nb,Ta, Zr (Hf), Ti Basalts from subduction zones – island arc basalt