Physical Chemistry Third Edition

1352 Index

Angular momentum (cont.)
theΘfunctions, 733
second separation of variables, 730–731
values, 733–736, 735f
of rigid object, 935
uncertainty product of, 713
vector, 1270f, 1271
vector addition of, 775, 776f
Angular momentum projection quantum
number.SeeMagnetic quantum number
Angular momentum quantum number.See
Azimuthal quantum number
Angular speed, sedimentation and, 472
Anode, of electrochemical cells, 355, 355f
Anomalous g factor of electron, 1007
Antibonding molecular orbital, 826
Anticompetitive inhibitor, 580
Anti-Stokes lines, 986
Antisymmetric space factor, 812
Antisymmetrization, in
Hartree–Fock–Roothaan method, 798
Antisymmetrized wave function
atoms with more than three electrons, 785
beryllium hydride, 869
helium, 768
lithium, 782
Slater determinant, 782
Apparent rate constant, in method
of isolation, 504
Argand plane, 1247, 1247f
Argon, Lennard-Jones potential of, 420, 420f
Arrhenius preexponential factor, in activated
complex theory, 1114
Arrhenius relation
in activation overpotential, 603
collision theory and, 537
in gas-phase reactions, 533–534
in liquid-phase reactions, 538–539
Arrhenius, Svante, 533, 1114
Associated Laguerre equation, 737–738
Associated Laguerre functions, 740
Associated Laguerre polynomials, 740
Associated Legendre equation, 733, 1280
Associated Legendre functions, 733, 1280
Associative, operator multiplication, 686
Asymmetric stretch, 939
Asymmetric top, 934
atm.SeeAtmosphere
Atmosphere (atm), 8
Atomic mass unit (amu), 9
Atomic nature of matter, 640–641

Atomic nucleus, 640–641

Atomic number, in periodic table

of elements, 814

Atomic size, periodic table of elements

and, 817

Atomic theory, 640

Atoms

electronic angular momentum of, 774

electronic states of

angular momentum in helium

atom, 774–780

central force system, 726–729

degenerate perturbation theory, 803–805,

1285–1287

density functional method, 805–806

expectation values, 749–753

higher-order approximations, 789–820

Hund’s rules, 812–813

hydrogen atom, 725–760

intrinsic angular momentum of electron,

755–759, 757f

lithium atom, 781–783

more than three electrons, 784–785,

808–809

more than two electrons, 806–808

periodic table of elements, 813–818,

815–816f, 820

perturbation method and helium

application, 799–802, 800f

radial factor, 736–740, 744f

relative Schrödinger equation, 729–736

self-consistent field method, 796–799

summary of, 759–760

time-dependent wave functions, 753–755

variation method and helium application,

790–795

zero-order approximation for

multielectron atoms, 763–786

energy levels of, 950–951

spectra of, 959–960, 959f

hydrogen, 959–960, 959f

multielectron, 960

translational states of, 916–918

AT P.SeeAdenosine triphosphate

Aufbau principle

electron configurations and, 809–810f,

809–812, 811t

Slater determinant, 783

Autocatalysis, 585–587, 615

in oscillatory chemical reactions, 588–589

rate law of, 586–587

Average, 384

Average probability distribution

for dilute gas, 1048

of vibrational states of four harmonic

oscillators, 1043–1044, 1045f, 1045t

Avogadro, Lorenzo Romano Amadeo, 9

Avogadro’s constant, 9

calculation of, 469

Azeotrope, 282

liquid and vapor curves at, 1262–1263

Azeotropic mixture, 283

Azimuthal quantum number, 739

Balmer series, for hydrogen radiation,

650, 650f

Band gap, of semiconductors, 1172–1173,

1173f

Band theory, of crystalline solid electronic

structure, 1172–1175, 1173f, 1206

electrical conductors and insulators,

1172, 1173f

ferromagnetism, 1174–1175, 1175f

semiconductors, 1172–1174, 1173–1174f

Base catalysis, specific, 574–575

Base-centered lattice, 1155t, 1156, 1156f

Basis functions, 694

Basis, of crystal, 1154

Bathorhodopsin, 983

Beckman, Arnold, 374

Beer–Lambert law, 949, 956–957f, 956–958

Bell, Alexander Graham, 993

Bell curve, 399, 399f

Belousov–Zhabotinskii reaction (BZ), 587

oregonator and, 589

Bending modes, 939

Benzene

liquid-vapor pressure-composition,

244, 244f

naphthalene in solution with,

246–247, 247f

orbital energies in, 888, 888f

orbital regions in, 889, 889f

partial vapor pressure, 240, 240f

valence-bond wave function for, 885–886

Bernoulli, Daniel, 387

Berthelot equation of state, 23, 23t

Berthelot, Pierre Eugene Marcelin, 154

Beryllium hydride, 868–871, 868f

bonding orbitals of, 870–871

Hartree–Fock–Roothaan calculation for,

868–869, 868t