Born-landé Equation
Born-landé Equation - Related Videos
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The Born-Haber Cycle
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2020
Lattice Energy An ionic compound is stable because of the electrostatic attraction between its positive and negative ions. The lattice energy of a compound is a measure of the strength of this attraction. The lattice energy (ΔHlattice) of an ionic compound is defined as the energy required to separate one mole of the solid into its component gaseous ions. Here, the convention is used where the ionic solid is separated into ions, meaning the lattice energies will be endothermic (positive...
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Studying the Integration of Adult-born Neurons
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A way to study the integration of newborn dentate granule cells in adult animals is described. This technique uses an engineered retrovirus to label newborn neurons, followed by electrophysiological recordings to determine in vivo functional integration.
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Born Normalization for Fluorescence Optical Projection Tomography for Whole Heart Imaging
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We suggest a Born normalized approach for Optical Projection Tomography (BnOPT) that accounts for the absorption properties of imaged samples to obtain accurate and quantitative fluorescence tomographic reconstructions. We use the proposed algorithm to reconstruct the fluorescence molecular probe distribution within small animal organs.
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Chemical Equations
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2020
Chemical equations represent the identities and relative quantities of substances involved in a chemical reaction. The substances undergoing reaction are called reactants, and their formulas are placed on the left side of the equation. The substances generated by the reaction are called products, and their formulas are placed on the right side of the equation. Plus signs (+) separate individual reactant and product formulas, and an arrow (→) separates the reactant and product (left and right)...
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Thermochemical Equations
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2020
For a chemical reaction (the system) carried out at constant pressure – with the only work done caused by expansion or contraction – the enthalpy of reaction (also called the heat of reaction, ΔHrxn) is equal to the heat exchanged with the surroundings (qp). The change in enthalpy is an extensive property, and it depends on the amounts of the reactants participating in the reaction (or the number of moles of reactants). The change in enthalpy is specific to the reaction, and the physical...
FAQs
The estimate changes with four linked features: ionic charges, separation between ions, the Madelung constant, and the Born exponent. Ionic charges and separation determine the electrostatic contribution, while the Madelung constant incorporates the crystal structure. The Born exponent characterizes short-range electron-cloud repulsion. Considering these terms together allows chemists to assess why lattice-energy trends differ among ionic solids.
They represent different physical effects and therefore influence the estimate in different ways. The Madelung constant describes how the arrangement of ions in a particular crystal affects long-range electrostatic attraction. By contrast, the Born exponent describes short-range repulsion caused by overlapping electron clouds. Separating these contributions helps connect a calculated lattice energy with crystal structure and bonding strength.
It provides a common framework for examining how ionic charges, ion separation, and structural arrangement contribute to lattice energy. The Madelung constant allows the crystal structure to enter that comparison, while the Born exponent represents the opposing short-range repulsion. Chemists can therefore use the model to interpret differences in bonding strength and stability across ionic compounds.
A calculation requires information about the ions and their crystal environment. Relevant inputs include the ionic charges, the separation between ions, the Madelung constant for the crystal structure, and the Born exponent describing short-range repulsion. Combining these quantities produces an estimate that can be compared across compounds or used in broader thermochemical analysis.
The calculated lattice energy can be placed alongside an experimentally determined lattice enthalpy to examine how well the model represents a real ionic solid. Such comparisons help identify whether the included electrostatic and repulsive contributions capture observed trends. In chemistry, this approach supports thermochemical analysis and improves interpretation of differences between model-based and experimental descriptions.
Lattice-energy estimates help interpret properties linked to the strength and stability of ionic bonding. By comparing the calculated values for different compounds, chemists can examine trends that provide context for melting behavior and solubility. These results do not stand alone, but complement structural and thermochemical information when relating an ionic lattice to measurable chemical properties.