The Cambridge Handbook of Physics Formulas
Graham Woan
Language: English
Pages: 230
ISBN: 2:00157998
Format: PDF / Kindle (mobi) / ePub
This compact, portable reference contains more than 2,000 of the most useful formulas and equations found in undergraduate physics courses, covering mathematics, dynamics and mechanics, quantum physics, thermodynamics, solid state physics, electromagnetism, optics and astrophysics. An extensive index allows the required formulas to be located swiftly and simply, and an unique tabular format crisply identifies all the variables involved. All students and professionals in physics, applied mathematics, engineering and other physical sciences will want to have this essential reference book within easy reach.
(3.46) dxµ Γαβγ differential of xµ Christoffel symbols (3.47) (3.48) ,α ;α φ partial diff. w.r.t. xα covariant diff. w.r.t. xα scalar Bα;γ = Bα,γ − Γβαγ Bβ (3.49) Aα Bα contravariant vector covariant vector R αβγδ Riemann tensor vµ tangent vector (= dxµ /dλ) affine parameter (e.g., τ for material particles) R αβγδ = Γαµγ Γµβδ − Γαµδ Γµβγ + Γαβδ,γ − Γαβγ,δ Riemann tensor Geodesic equation (3.50) Bµ;α;β − Bµ;β;α = R γµαβ Bγ (3.51) Rαβγδ = −Rαβδγ ; Rβαγδ = −Rαβγδ Rαβγδ + Rαδβγ + Rαγδβ =
temperature scale T /K = 273.16 (5.1) p→0 lim(pV )T p→0 (5.2) lim(pV )tr T V p thermodynamic temperature volume of a fixed mass of gas gas pressure K tr kelvin unit temperature of the triple point of water p→0 dU change in internal energy First lawb dU = d Q + d W Entropyc dS = d Qrev d Q ≥ T T (5.3) d W work done on system d Q heat supplied to system S experimental entropy (5.4) T temperature reversible change a As determined with a gas thermometer. The idea of temperature
potential number of particles H p enthalpy pressure V volume F Helmholtz free energy G Gibbs free energy Φ grand potential A availability T0 temperature of surroundings pressure of surroundings p0 a dN=0 for a closed system. b Sometimes called the “work function.” c Sometimes called the “thermodynamic potential.” main January 23, 2006 16:6 109 5.2 Classical thermodynamics Maxwell’s relations Maxwell 1 Maxwell 2 Maxwell 3 Maxwell 4 ∂T ∂V ∂T ∂p ∂p ∂T ∂V ∂T S S V p =−
563 2 193 [Yb]5d2 Radium [226] 88 Ti [Ca]3d2 365 6 507 1.571 HEX 3 613 2 123 Lanthanides Ba 22 331 4 508 1.592 HEX 3 103 1 943 Yttrium 88.905 85 Barium 137.327 614 3 594 BCC 943.2 1 001 [Rn]7s1 c/a (angle in RHL, c/a b/a in ORC & MCL) Scandium 44.955 910 [Xe]6s2 Francium [223] 7 Ca Strontium 87.62 571 2 583 FCC 963.1 1 050 [Xe]6s1 1 900 BCC 301.6 20 [Kr]5s2 Caesium 132.905 45 6 Calcium 40.078 532 1 530 FCC 1 033 1 113 [Kr]5s1 1 533 BCC 312.4 lattice constant, a (fm)
magnitudes, 179 Astrophysics, 175–185 asymmetric top [3.189], 77 atomic form factor [6.30], 128 mass unit, 6, 9 numbers of elements, 124 polarisability [7.91], 142 weights of elements, 124 Atomic constants, 7 atto, 5 autocorrelation (Fourier) [2.491], 53 autocorrelation function [8.104], 172 availability and fluctuation probability [5.131], 116 definition [5.40], 108 Avogadro constant, 6, 9 Avogadro constant (dimensions), 16 azimuth coordinate [9.10], 177 B Ballistics, 69 band index [6.85], 134