Chemical Calculations : Mathematics for Chemistry, Second Edition book cover
2nd Edition

Chemical Calculations
Mathematics for Chemistry, Second Edition

ISBN 9780849391644
Published February 27, 2007 by CRC Press
382 Pages 102 B/W Illustrations

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Book Description

Many undergraduate students enter into chemistry courses from a wide range of backgrounds, often possessing various levels of experience with the mathematical concepts necessary for carrying out practical calculations in chemistry. Chemical Calculations: Mathematics for Chemistry, Second Edition provides a unified, student-friendly reference of mathematical concepts and techniques incorporated into the context of familiar chemical topics.

Uniquely organized by chemical—rather than mathematical—topics, this book relates each mathematical technique to the chemical concepts where it applies. The new edition features additional, revised, and updated material in every chapter. It achieves greater clarity with newly improved organization of topics and cross-referencing where mathematical techniques occur more than once. The text also contains numerous worked examples along with end-of-chapter exercises and detailed solution—giving students the opportunity to apply previously introduced techniques to chemically related problems.

An ideal course companion for chemistry courses throughout the length of a degree, the second edition of Chemical Calculations: Mathematics for Chemistry may also extend its utility as a concise and practical reference for professionals in a wide array of scientific disciplines involving chemistry.

Table of Contents

Positive and Negative Numbers
Precedence in Equations
Rearranging Equations
Standard Form
Dealing With Uncertainty in Experimental Techniques
Displaying Uncertainties in the Measurement of Absorbance
Measurement in Chemistry
Stoichiometric Calculations
Uncertainty in Measurement
Fractions and Indices in the Equilibrium Constant
Bond Enthalpies
The Born–Haber Cycle
Heat Capacity
Clapeyron Equation
Clausius–Clapeyron Equation
The Ideal Gas Equation
The Van der Waals Equation
Equilibrium Constants
Solution Chemistry
Multiplication in the Calculation of Activity
Raoult’s Law
The Debye–Hückel Equation
Ostwald’s Dilution Law
Partial Molar Volumes
Using a Rate Equation
Rates of Change
Zero-Order Reactions
First-Order Reactions
Second-Order Reactions
The Arrhenius Equation
The Steady-State Approximation
Structural Chemistry
Packing Fractions of Atoms in Metals
Arrangement of Atoms in Crystals
Bragg’s Law
The Unit Cell
X-ray Diffraction
Symmetry Operators
Quantum Mechanics
Energy-Level Transitions and Appropriate Precision
The Photon
Forces Between Atoms
Particle in a Box
The Free Particle
The Hydrogen Atom Wave Function
The Helium Atom
Calculation of Dipole Moments
Dipole and Quadrupole Moments
Electromagnetic Radiation
The Beer–Lambert Law
Rotational Spectroscopy
Vibrational Spectroscopy
Rotation–Vibration Spectroscopy
Nuclear Magnetic Resonance Spectroscopy
Fourier Transform Spectroscopy
Statistical mechanics
Molecular Energy Distributions
The Boltzmann Equation
The Partition Function
Appendix A: Units
Appendix B: Physical Constants
Answers to Exercises
Answers to Problems
Chemical Index
Mathematical Index
*Each chapter contains Exercises and Problems, with Answers available at the end of the book

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 “...The volume’s unique feature is the arrangement according to chemical topics rather than mathematical topics, making it an excellent resource book for chemistry. The incorporation of chemical and mathematical indexes makes it an excellent reference book for chemistry students and practitioners. Yates has provided a unified, user-friendly book with mathematical concepts and techniques useful for applications to chemistry, designed for undergraduate chemistry use as the student encounters chemical topics in the curriculum. The flow if information, therefore, moves from chemical topics encountered in lower-level chemistry courses to topics covered in upper-division and first year graduate courses. Coverage of chemical topics is excellent, and mathematical concepts and techniques are appropriate to the chemical use of chemical examples from other scientific fields provides breath for chemistry students and support for students and professionals in other disciplines. This book provides the larger scientific community as well as the chemistry profession with a wealth of resources of value in a unique format suitable for undergraduates and professionals. Summing Up: Highly Recommended.”
— D.A. Johnson, Spring Arbor University, in Choice Magazine, September 2007, Vol. 45, No. 01

". . . an excellent book . . . It is hard to find such a well-written text covering the difficult area of mathematics in such an easy-to-read format . . . If you have been searching for a mathematics book to recommend this should be the one."

– P. Riby, in Chromatographia, March 2008, Vol. 67, No. 5/6