Chemical calculations : mathematics for chemistry / Paul Yates.

Author/creator Yates, Paul, 1961-
Format Book
Edition2nd ed.
Publication InfoBoca Raton : CRC Press, ©2007.
Descriptionxi, 366 pages : illustrations ; 26 cm
Supplemental ContentTable of contents only
Supplemental ContentPublisher description
Subjects

Contents Preface -- Acknowledgments -- 1. Fundamentals -- 1.1. Positive and negative numbers -- 1.1.1. Addition -- 1.1.2. Subtraction -- 1.1.3. Multiplication -- 1.1.4. Division -- 1.2. Precedence in equations -- 1.3. Rearranging equations -- 1.4. Fractions -- 1.4.1. Identical fractions -- 1.4.2. Addition and subtraction -- 1.4.3. Multiplication -- 1.4.4. Division -- 1.5. Indices -- 1.5.1. Multiplication -- 1.5.2. Division -- 1.5.3. Raising to a power -- 1.5.4. Roots -- 1.5.5. Negative powers -- 1.6. Standard form -- Exercises -- Problems -- 2. Dealing with uncertainty in experimental techniques -- 2.1. Displaying uncertainties in the measurement of absorbance -- 2.2. Measurement in chemistry -- 2.2.1. Decimal places -- 2.2.2. Significant figures -- 2.2.3. Combining quantities -- 2.3. Stoichiometric calculations -- 2.4.1. Types of uncertainty -- 2.4.2. Combining uncertainties -- 2.4.2.1. Determining the maximum possible uncertainty -- 2.4.2.2. Determining the maximum probable uncertainty -- 2.4.3. Statistical treatment of uncertainties -- Exercises -- Problems --
Contents 3. Thermodynamics -- 3.1. Fractions and indices in the equilibrium constant -- 3.2. Bond enthalpies -- 3.2.1. Rearranging equations -- 3.3. The Born-Haber cycle -- 3.3.1. Combining uncertainties -- 3.4. Heat capacity -- 3.4.1. Expansion of brackets -- 3.4.2. Polynomial expressions -- 3.4.3. Functions -- 3.5. Clapeyron equation -- 3.5.1. Differentiation -- 3.6. Clausius-Clapeyron equation -- 3.6.1. Logarithms -- 3.6.2. The equation of a straight line -- 3.6.3. Plotting graphs -- 3.6.4. Plotting graphs using a spreadsheet -- 3.7. The ideal gas equation -- 3.7.1. Interconversion -- 3.7.2. Constants and variables -- 3.7.3. Proportion -- 3.7.4. Functions of two variables -- 3.7.5. Partial differentiation -- 3.7.6. The differential -- 3.8. The van der Waals equation -- 3.8.1. Expansion of brackets -- 3.8.2. Combining limits -- 3.9. Equilibrium constants -- 3.9.1. Solving quadratic equations using a formula -- 3.9.2. Solving quadratic equations iteratively -- Exercises -- Problems --
Contents 4. Solution chemistry -- 4.1. Multiplication in the calculation of activity -- 4.2. Molality -- 4.2.1. Proportion -- 4.3. Raoult's law -- 4.3.1. Straight-line graphs -- 4.3.2. Proportion -- 4.4. The Debye-Hückel equation -- 4.4.1. Logarithms -- 4.5. Ostwald's dilution law -- 5.4.1. Discontinuities -- 4.6. Partial molar volumes -- 4.6.1. Functions -- 4.6.2. Stationary points -- Exercises -- Problems -- 5. Kinetics -- 5.1. Using a rate equation -- 5.2. Rates of change -- 5.3. Zero-order reactions -- 5.3.1. Integration -- 5.4. First-order reactions -- 5.4.1. Integration of 1/x -- 5.4.2. Rules of logarithms -- 5.5. Second-order reactions -- 5.5.1. Partial fractions -- 5.5.2. Differentiation of logarithmic functions and integration of fractions -- 5.6. The Arrhenius equation -- 5.6.1. The exponential function -- 5.6.2. Inverse functions -- 5.7. The steady-state approximation -- 5.7.1. Simultaneous equations -- Exercises -- Problems --
Contents 6. Structural chemistry -- 6.1. Packing fractions of atoms in metals -- 6.2. Arrangement of atoms in crystals -- 6.2.1. Pythagoras' theorem -- 6.2.2. Pythagoras' theorem in three dimensions -- 6.3. Bragg's law -- 6.3.1. Trigonometry -- 6.3.2. Inverses of trigonometric functions -- 6.4. The unit cell -- 6.4.1. Unit vectors -- 6.4.2. Addition and subtraction of vectors -- 6.4.3. Multiplication of vectors -- 6.5. X-ray diffraction -- 6.5.1. Complex numbers -- 6.6. Symmetry operators -- 6.6.1. Matrices -- Exercises -- Problems -- 7. Quantum mechanics -- 7.1. Energy-level transitions and appropriate precision -- 7.2. The photon -- 7.2.1. Mathematical relationships -- 7.3. Forces between atoms -- 7.3.1. Proportionality -- 7.3.2. Stationary points -- 7.4. Particle in a box -- 7.4.1. Complex numbers -- 7.4.2. Sequences -- 7.4.3. Inverse functions -- 7.4.4. Differentiation of fractional indices -- 7.4.5. Use of standard integrals -- 7.5. The free particle -- 7.5.1. The complex conjugate -- 7.5.2. The modulus of a complex number -- 7.6. The hydrogen atom wavefunction -- 7.6.1. Differentiation of a product -- 7.6.2. Integration by parts -- 7.6.3. Calculus of the exponential function -- 7.6.4. Multiple integration -- 7.6.5. Calculus of the trigonometric functions -- 7.7. The helium atom -- 7.7.1. Stationary points -- Exercises -- Problems --
Contents 8. Spectroscopy -- 8.1. Calculation of dipole moments -- 8.2. Dipole and quadrupole moments -- 8.3. Electromagnetic radiation -- 8.3.1. Direct and inverse proportion -- 8.4. The Beer-Lambert law -- 8.4.1. Rules of logarithms -- 8.5. Rotational spectroscopy -- 8.5.1. Sequences -- 8.6. Vibrational spectroscopy -- 8.7. Rotation-vibration spectroscopy -- 8.8. Nuclear magnetic resonance spectroscopy -- 8.8.1. Pascal's triangle -- 8.9. Fourier transform spectroscopy -- 8.9.1. Introduction to Fourier transforms -- Exercises -- Problems -- 9. Statistical mechanics -- 9.1. Molecular energy distributions -- 9.2. Configurations -- 9.2.1. Factorials -- 9.3. The Boltzmann equation -- 9.3.1. Differentiation of logarithms -- 9.3.2. Differentiation of products -- 9.4. The partition function -- 9.4.1. Integration by substitution -- 9.4.2. Calculating a series using a spreadsheet -- Exercises -- Problems -- Appendix A : Units -- A.1. SI prefixes -- A.2. Equivalent units -- Appendix B : Physical constants -- Answers to exercises -- Answers to problems -- Chemical index -- Mathematical index.
Local noteLittle-351710--305131037971/
Local noteLittle-354724--305131034151R
General noteIncludes indexes.
Bibliography noteIncludes bibliographical references and indexes.
LCCN 2006029548
ISBN0849391644 (pbk. : acid-free paper)
ISBN9780849391644 (pbk. : acid-free paper)

Availability

Library Location Call Number Status Item Actions
Joyner General Stacks QD39.3.M3 Y38 2007 ✔ Available Place Hold