Cover image for Chemical calculations : mathematics for chemistry
Title:
Chemical calculations : mathematics for chemistry
Author:
Yates, Paul, 1961-
Personal Author:
Edition:
Second edition.
Publication Information:
Boca Raton : CRC Press, [2007]

©2007
Physical Description:
xi, 366 pages : illustrations ; 26 cm
General Note:
Includes indexes.
Language:
English
Contents:
Preface -- Acknowledgments -- Fundamentals -- Positive and negative numbers -- Addition -- Subtraction -- Multiplication -- Division -- Precedence in equations -- Rearranging equations -- Fractions -- Identical fractions -- Addition and subtraction -- Multiplication -- Division -- Indices -- Multiplication -- Division -- Raising to a power -- Roots -- Negative powers -- Standard form -- Exercises -- Problems -- Dealing with uncertainty in experimental techniques -- Displaying uncertainties in the measurement of absorbance -- Measurement in chemistry -- Decimal places -- Significant figures -- Combining quantities -- Stoichiometric calculations -- Types of uncertainty -- Combining uncertainties -- Determining the maximum possible uncertainty -- Determining the maximum probable uncertainty -- Statistical treatment of uncertainties -- Exercises -- Problems --

Thermodynamics -- Fractions and indices in the equilibrium constant -- Bond enthalpies -- Rearranging equations -- Born-Haber cycle -- Combining uncertainties -- Heat capacity -- Expansion of brackets -- Polynomial expressions -- Functions -- Clapeyron equation -- Differentiation -- Clausius-Clapeyron equation -- Logarithms -- equation of a straight line -- Plotting graphs -- Plotting graphs using a spreadsheet -- ideal gas equation -- 3.7.1. Interconversion -- Constants and variables -- Proportion -- Functions of two variables -- Partial differentiation -- differential -- van der Waals equation -- Expansion of brackets -- Combining limits -- Equilibrium constants -- Solving quadratic equations using a formula -- Solving quadratic equations iteratively -- Exercises -- Problems --

Solution chemistry -- Multiplication in the calculation of activity -- Molality -- Proportion -- Raoult's law -- Straight-line graphs -- Proportion -- Debye-Hückel equation -- Logarithms -- Ostwald's dilution law -- Discontinuities -- Partial molar volumes -- Functions -- Stationary points -- Exercises -- Problems -- Kinetics -- Using a rate equation -- Rates of change -- Zero-order reactions -- Integration -- First-order reactions -- Integration of 1/x -- Rules of logarithms -- Second-order reactions -- Partial fractions -- Differentiation of logarithmic functions and integration of fractions -- Arrhenius equation -- exponential function -- Inverse functions -- steady-state approximation -- Simultaneous equations -- Exercises -- Problems --

Structural chemistry -- Packing fractions of atoms in metals -- Arrangement of atoms in crystals -- Pythagoras' theorem -- Pythagoras' theorem in three dimensions -- Bragg's law -- Trigonometry -- Inverses of trigonometric functions -- unit cell -- Unit vectors -- Addition and subtraction of vectors -- Multiplication of vectors -- X-ray diffraction -- Complex numbers -- Symmetry operators -- Matrices -- Exercises -- Problems -- Quantum mechanics -- Energy-level transitions and appropriate precision -- photon -- Mathematical relationships -- Forces between atoms -- Proportionality -- Stationary points -- Particle in a box -- Complex numbers -- Sequences -- Inverse functions -- Differentiation of fractional indices -- Use of standard integrals -- free particle -- complex conjugate -- modulus of a complex number -- hydrogen atom wavefunction -- Differentiation of a product -- Integration by parts -- Calculus of the exponential function -- Multiple integration -- Calculus of the trigonometric functions -- helium atom -- Stationary points -- Exercises -- Problems --

Spectroscopy -- Calculation of dipole moments -- Dipole and quadrupole moments -- Electromagnetic radiation -- Direct and inverse proportion -- Beer-Lambert law -- Rules of logarithms -- Rotational spectroscopy -- Sequences -- Vibrational spectroscopy -- Rotation-vibration spectroscopy -- Nuclear magnetic resonance spectroscopy -- Pascal's triangle -- Fourier transform spectroscopy -- Introduction to Fourier transforms -- Exercises -- Problems -- Statistical mechanics -- Molecular energy distributions -- Configurations -- Factorials -- Boltzmann equation -- Differentiation of logarithms -- Differentiation of products -- partition function -- Integration by substitution -- Calculating a series using a spreadsheet -- Exercises -- Problems -- Appendix A : Units -- SI prefixes -- Equivalent units -- Appendix B : Physical constants -- Answers to exercises -- Answers to problems -- Chemical index -- Mathematical index.
ISBN:
9780849391644
Format :
Book

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