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Figure 2 a — c , e Experimental electron diffraction ED patterns along the [], [], [] and [] directions, respectively. Hollow arrows in b , e , f denote the second-order diffraction spots.

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Note that amorphous boron could not be detected by XRD pattern. Panel a : Energy-versus-volume curves.

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The red vertical lines correspond to the equilibrium volume of the fully relaxed o I 10 or o P 10 whichever is more stable for the particular TM. Panel c : Relative stability as a function of the TM electron count.

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The corresponding insets of structures show charge density isosurfaces 0. Figure 5 Calculated electronic densities of states for 4 d TMB 4 at their most stable structures in panel a. The grey and black regions denote the bonding and nonbonding states, respectively. In the o I 10 structure the boron site is fourfold coordinated whereas in the o P 10 structure the two nonequivalent boron sites are fourfold B1 and nearly fivefold B2 coordinated.

The difference in the individual charges on the B1 and B2 atoms might not be very meaningful due to the difficulty of partitioning the charge within the B 4 parallelogram unit. The average charge transferred to B1 and B2 shows a systematic, nearly linear trend across the 3 d - and 4 d series. Figure 7 a Vickers hardness, H v , as a function of k 2 G , with k being the ratio of the shear G to bulk B modulus; the experimental data are discussed in Refs.

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C Phys. D Phys. Students explore the concept that chemical reactions involve the breaking of bonds between atoms in the reactants, and the rearrangement and rebonding of these atoms to make the products. Students investigate reactions which produce a gas, form a precipitate, and cause a color change. Students also explore endothermic and exothermic reactions and do an engineering activity to design a device using an exothermic reaction. The American Chemical Society is dedicated to improving lives through Chemistry.

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Standards Addressed Select your grade and state to see which of your teaching standards MSC specifically addresses. Chapter 1: Matter—Solids, Liquids, and Gases Students are introduced to the idea that matter is composed of atoms and molecules that are attracted to each other and in constant motion. Molecules Matter Molecules in Motion The Ups and Downs of Thermometers Moving Molecules in a Solid Air, It's Really There Chapter 2: Changes of State Students help design experiments to test whether the temperature of water affects the rate of evaporation and whether the temperature of water vapor affects the rate of condensation.

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Heat, Temperature, and Conduction Changing State—Evaporation Changing State—Condensation Changing State—Freezing Changing State—Melting Chapter 3: Density Students experiment with objects that have the same volume but different mass and other objects that have the same mass but different volume to develop a meaning of density. What is Density? Why Does Water Dissolve Sugar? Can Liquids Dissolve in Water?

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