Average Composition of the Continental Crust Si O Weight Percent O Volume Percent Table 3.4 Olivine: formed from single silica tetrahedra Phase – olivine ; Mg2SiO4 Components: Mg(2), Si, O(4) Can be reduced to MgO(2) and SiO2 Which is 66.67 mole percent MgO and 33.33 mole percent SiO2 This can be converted to weight by: .6667 moles MgO X 40.31g/mole = 26.875g .3333 moles SiO2 X 60.09g/mole = 20.028g 46.903g Giving 57.3 weight % MgO and 42.7 weight % SiO2 Given: 57.3 wt.% MgO and 42.7 wt.% SiO2 57.3g / 40.31g/mole = 1.4215 moles MgO 42.7g / 60.09g/mole = 0.7106 moles SiO2 1.4215/(1.4215 + 0.7106) x 100 = 66.67 mole % MgO 0.7106/(1.4215 + 0.7106) x 100 = 33.33 mole % SiO2 Or a mole ratio ( sometimes called “atomic”) of 2 MgO to 1 SiO2 The mineral formula would then be based on 4 oxygens giving Mg2SiO4, which is olivine ( specifically forsterite) Actual analysis (wt.) would give 34.5 % Mg, 20.0 % Si (with the remaining 45.5 % assumed to be oxygen) Mg (24.31g/mole), Si (28.09g/mole) O ( 16.00g/mole) 34.5g / 24.31g/mole = 1.42 moles 20.0g / 28.09 g/mole = 0.71 moles 45.5g / 16 g/mole = 2.84 moles Mg1.42 Si 0.71 O 2.84 converted to 1 mole O gives Mg0.5 Si0.25 O 1 converted to whole numbers gives Mg2 Si O4 Classification of Igneous Rocks • Rock with 70% X, 20% Y, 10% Z • Plot mineral composition of triangle diagram Figure 2-1a. Method #1 for plotting a point with the components: 70% X, 20% Y, and 10% Z on triangular diagrams. An Introduction to Igneous and Metamorphic Petrology, John Winter, Prentice Hall. Classification of Igneous Rocks Anorthosite Ga bb ro 90 Olivine gabbro Plagioclase-bearing ultramafic rocks Pyroxene (b) (c) lite cto Tro • Mafic rocks: plag, pyroxene, olivine • Norite: gabbro with more opx than cpx • Top and bottom fields at 10% tick marks • Side fields at 5% tick marks Plagioclase Olivine G225 – Review For Exam 1 Models of the atom Rutherford, Bohr, deBroglie Electronic configuration Quantum numbers Periodic Table Valence electrons ; oxidationreduction Z and A numbers Isotopes ; stable and radiogenic Bonding Ionic Covalent VanderWaals Metallic Polar versus non-polar Electronegativity Atomic structures Ionic radii – bond lengths Coordination numbers Hexagonal and cubic closest packing Pauling’s Rules Radicals Isodesmic, anisodesmic, mesodesmic Silicate tetrahedral linkages; subclasses; polymerization Mineral compositions and plotting procedures; solid solution