1 Basic mathematical facts and figures.- 1.1 Signs and symbols.- 1.2 Numerical constants.- 1.3 Exponentials and roots.- 1.4 Logarithm.- 1.5 Complex numbers.- 1.6 Factorial.- 1.7 Mensuration formulas.- 1.8 Solid angle.- 1.9 Trigonometric functions.- 1.10 Relations between sides and angles of a triangle.- 1.11 Hyperbolic functions.- 1.12 Algebraic equations and solutions.- 1.13 Calculus.- 1.14 Series.- 1.15 Polynomials.- 1.16 Special functions.- 1.17 Fourier transformation.- 1.18 Vectors and vector analysis.- 1.19 Solution of important differential equations.- 2 Units, conversion factors and constants.- 2.1 The international system of units (SI).- 2.2 Conversion factors listed by physical quantity.- 2.3 Conversion factors in alphabetical order.- 2.4 Atomic units.- 2.5 X-ray units.- 2.6 Electrical units maintained by the Bureau International des Poids et Mesures (BIPM).- 2.7 Relations between fundamental constants.- 2.8 Values of fundamental constants.- 2.9 Index of refraction of air.- 3 Spectroscopy and atomic structure.- 3.1 The electromagnetic spectrum.- 3.2 Energy-level diagram.- 3.3 Spectral lines for transitions between Rydberg terms.- 3.4 Quantum numbers specifying states of an atomic electron.- 3.5 Angular momentum.- 3.6 Term designation.- 3.7 Selection rules for electric dipole transitions.- 3.8 Schematic diagram of X-ray lines and terms.- 3.9 Wavelength of prominent spectral lines.- 3.10 Resonance lines of noble gas atoms.- 3.11 Atomic data.- 4 Basic wave mechanics.- 4.1 Schrödinger equation.- 4.2 Hydrogenic state functions.- 4.3 Expectation values for the radial distance.- 4.4 Expectation value for the root mean square velocity.- 4.5 Dipole moments.- 4.6 Values of hydrogenic radial transition integrals, $$
\;{\text{ = }}\int_0^\infty {{R_{n\ell}}\;{{\text{R}}_{n'\ell '}}} \;{{\text{r}}^3}\;{\text{dr,}}
$$ in units of the Bohr radius.- 5 Facts, figures and data useful in the laboratory.- 5.1 Fundamental relations of vacuum practice.- 5.2 Electronics.- 5.3 Digital electronics.- 5.4 Electrons.- 5.5 Radiation.- 5.6 Calibration sources frequently used in nuclear spectroscopy.- 5.7 Count loss correction.- 5.8 Material constants and other data.
