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Quantum Mechanics - Prof. Eric R. Bittner - University of Houston

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Ground-state<br />

Configuration<br />

Protactinium<br />

Neptunium Plutonium Americium<br />

Berkelium Californium Einsteinium Fermium Mendelevium<br />

(227) 232.0381 231.03588 238.0289 (237) (244) (243) (247) (247) (251) (252) (257) (258)<br />

[Rn]6d7s<br />

5.17 6.3067 5.89 6.1941 6.2657 6.0262 5.9738 5.9915 6.1979 6.2817 6.42 6.50 6.58<br />

2<br />

Ionization<br />

2 2<br />

2 2<br />

3 2<br />

4 2<br />

6 2<br />

7 2<br />

7 2<br />

9 2<br />

10 2<br />

11 2<br />

12 2<br />

13 2<br />

[Rn]6d 7s [Rn]5f 6d7s [Rn]5f 6d7s [Rn]5f 6d7s [Rn]5f 7s [Rn]5f 7s [Rn]5f 6d7s [Rn]5f 7s [Rn]5f 7s [Rn]5f 7s [Rn]5f 7s [Rn]5f 7s<br />

Energy (eV)<br />

† 12<br />

Based upon C.<br />

( ) indicates the mass number <strong>of</strong> the most stable isotope. For a description and the most accurate values and uncertainties, see J. Phys. Chem. Ref. Data, 26 (5), 1239 (1997).<br />

March 1999<br />

Nobelium Lawrencium<br />

(259) (262)<br />

14 2 14 2<br />

[Rn]5f 7s [Rn]5f 7s 7p?<br />

6.65 4.9 ?<br />

Atomic<br />

Weight †<br />

140.116<br />

[Xe]4f5d6s<br />

5.5387<br />

2<br />

89<br />

Ac<br />

Actinium<br />

2<br />

D32 /<br />

90<br />

Th<br />

Thorium<br />

91<br />

Pa<br />

4<br />

K11/ 2<br />

92<br />

U<br />

Uranium<br />

103<br />

Lr<br />

Lanthanum<br />

138.9055<br />

[Xe]5d6s<br />

5.5769<br />

2<br />

Praseodymium Neodymium Promethium<br />

140.116 140.90765 144.24 (145)<br />

[Xe]4f5d6s<br />

5.5387 5.473 5.5250 5.582<br />

2<br />

3 2<br />

4 2<br />

5 2<br />

[Xe]4f 6s [Xe]4f 6s [Xe]4f 6s<br />

3 5<br />

F2<br />

L°6<br />

93<br />

Np<br />

6<br />

L11/ 2<br />

94<br />

Pu<br />

7 F0<br />

95<br />

Am<br />

8<br />

S°7<br />

/ 2<br />

96<br />

Cm<br />

Curium<br />

9 D°2<br />

97<br />

Bk<br />

6<br />

H°15<br />

/ 2<br />

98<br />

Cf<br />

5- I-8<br />

99<br />

Es<br />

4-<br />

I-° 15/ 2<br />

100<br />

Fm<br />

3 H6<br />

101<br />

Md<br />

2<br />

F°7<br />

/ 2<br />

102<br />

No<br />

1 S0<br />

2<br />

P°1<br />

/ 2 ?<br />

Name<br />

Symbol<br />

Samarium<br />

150.36<br />

6 2<br />

[Xe]4f 6s<br />

5.6436<br />

Europium<br />

151.964<br />

7 2<br />

[Xe]4f 6s<br />

5.6704<br />

Gadolinium<br />

157.25<br />

7 2<br />

[Xe]4f 5d6s<br />

6.1501<br />

158.92534<br />

9 2<br />

[Xe]4f 6s<br />

5.8638<br />

Dysprosium<br />

162.50<br />

10 2<br />

[Xe]4f 6s<br />

5.9389<br />

Holmium<br />

164.93032<br />

11 2<br />

[Xe]4f 6s<br />

6.0215<br />

167.26<br />

12 2<br />

[Xe]4f 6s<br />

6.1077<br />

168.93421<br />

13 2<br />

[Xe]4f 6s<br />

6.1843<br />

Ytterbium<br />

173.04<br />

14 2<br />

[Xe]4f 6s<br />

6.2542<br />

174.967<br />

14 2<br />

[Xe]4f 5d6s<br />

5.4259<br />

58<br />

Ce<br />

Cerium<br />

1 G°4<br />

Atomic<br />

Number<br />

Ground-state<br />

Level<br />

57<br />

La<br />

2<br />

D32 /<br />

58<br />

Ce<br />

Cerium<br />

1 G°4<br />

59<br />

Pr<br />

4-<br />

I-° 92 /<br />

60<br />

Nd<br />

5- I-4<br />

61<br />

Pm<br />

6<br />

H°5<br />

/ 2<br />

62<br />

Sm<br />

7 F0<br />

63<br />

Eu<br />

8<br />

S°7<br />

/ 2<br />

64<br />

Gd<br />

9 D°2<br />

65<br />

Tb<br />

Terbium<br />

6<br />

H°15<br />

/ 2<br />

66<br />

Dy<br />

5- I-8<br />

67<br />

Ho<br />

4-<br />

I-° 15/ 2<br />

68<br />

Er<br />

Erbium<br />

3 H6<br />

69<br />

Tm<br />

Thulium<br />

2<br />

F°7<br />

/ 2<br />

70<br />

Yb<br />

1 S0<br />

71<br />

Lu<br />

Lutetium<br />

2<br />

D32 /<br />

Francium<br />

(223)<br />

[Rn]7s<br />

4.0727<br />

(226)<br />

[Rn]7s<br />

5.2784<br />

2<br />

7<br />

Rutherfordium Dubnium<br />

(261) (262)<br />

14 2 2<br />

[Rn]5f 6d 7s ?<br />

6.0 ?<br />

87<br />

Fr<br />

88<br />

Ra<br />

Radium<br />

Seaborgium<br />

(263)<br />

104<br />

Rf<br />

Db<br />

Sg<br />

Bh<br />

Bohrium<br />

(264)<br />

Hassium<br />

(265)<br />

Meitnerium<br />

(268)<br />

Ununnilium<br />

(269)<br />

Unununium<br />

(272)<br />

Ununbium<br />

For a description <strong>of</strong><br />

the atomic data, visit<br />

physics.nist.gov/atomic<br />

2<br />

S12 /<br />

1 S0<br />

Hs<br />

Mt<br />

Uun<br />

Uuu<br />

Uub<br />

Solids<br />

Liquids<br />

Gases<br />

Artificially Prepared<br />

132.90545<br />

[Xe]6s<br />

3.8939<br />

137.327<br />

[Xe]6s<br />

5.2117<br />

2<br />

Rhenium<br />

178.49 180.9479 183.84 186.207 190.23 192.217 195.078 196.96655 200.59 204.3833 207.2<br />

14 2 2 14 3 2 14 4 2 14 5 2 14 6 2 14 7 2 14 9<br />

14 10<br />

14 10 2<br />

[Xe]4f 5d 6s [Xe]4f 5d 6s [Xe]4f 5d 6s [Xe]4f 5d 6s [Xe]4f 5d 6s [Xe]4f 5d 6s [Xe]4f 5d 6s [Xe]4f 5d 6s [Xe]4f 5d 6s [Hg]6p [Hg]6p<br />

6.8251 7.5496 7.8640 7.8335 8.4382 8.9670 8.9587 9.2255 10.4375 6.1082 7.4167<br />

2<br />

3<br />

F2 ? 105 106 107 108 109 110 111 112<br />

208.98038<br />

[Hg]6p<br />

7.2856<br />

3<br />

Polonium<br />

(209)<br />

[Hg]6p<br />

8.417 ?<br />

4<br />

[Hg]6p 5<br />

(210)<br />

(222)<br />

[Hg]6p<br />

10.7485<br />

6<br />

6<br />

55<br />

Cs<br />

Cesium<br />

2<br />

S12 /<br />

56<br />

Ba<br />

Barium<br />

1 S0<br />

72<br />

Hf<br />

Hafnium<br />

3 F2<br />

73<br />

Ta<br />

Tantalum<br />

4<br />

F32 /<br />

74<br />

W<br />

Tungsten<br />

5 D0<br />

75<br />

Re<br />

6<br />

S52 /<br />

76<br />

Os<br />

Osmium<br />

5 D4<br />

77<br />

Ir<br />

Iridium<br />

4<br />

F92 /<br />

78<br />

Pt<br />

Platinum<br />

3 D3<br />

79<br />

Au<br />

Gold<br />

2<br />

S12 /<br />

80<br />

Hg<br />

Mercury<br />

81<br />

Tl<br />

Thallium<br />

2<br />

P°1/ 2<br />

Rubidium<br />

85.4678<br />

[Kr]5s<br />

4.1771<br />

87.62<br />

[Kr]5s<br />

5.6949<br />

2<br />

88.90585<br />

[Kr]4d5s<br />

6.2171<br />

2<br />

91.224<br />

2 2<br />

[Kr]4d 5s<br />

6.6339<br />

6.7589<br />

92.90638<br />

Molybdenum Technetium<br />

95.94 (98)<br />

5<br />

5 2<br />

[Kr]4d 5s [Kr]4d 5s<br />

7.0924 7.28<br />

Cadmium<br />

Antimony<br />

112.411 114.818 118.710 121.760 127.60 126.90447 131.29<br />

10 2<br />

10 2<br />

10 2 2 10 2 3 10 2 4 10 2 5 10 2 6<br />

[Kr]4d 5s [Kr]4d 5s 5p [Kr]4d 5s 5p [Kr]4d 5s 5p [Kr]4d 5s 5p [Kr]4d 5s 5p [Kr]4d 5s 5p<br />

8.9938 5.7864 7.3439 8.6084 9.0096 10.4513 12.1298<br />

1 3 3 1<br />

S0<br />

P0<br />

P2<br />

S0<br />

82<br />

Pb<br />

Lead<br />

83<br />

Bi<br />

Bismuth<br />

4<br />

S°3/ 2<br />

84<br />

Po<br />

85<br />

At<br />

Astatine<br />

2<br />

P°3/ 2<br />

86<br />

Rn<br />

Radon<br />

Ruthenium<br />

101.07<br />

7<br />

[Kr]4d 5s<br />

7.3605<br />

Rhodium<br />

102.90550<br />

8<br />

[Kr]4d 5s<br />

7.4589<br />

Palladium<br />

106.42<br />

[Kr]4d<br />

8.3369<br />

10<br />

7.5762<br />

4<br />

[Kr]4d 5s<br />

10<br />

[Kr]4d 5s<br />

107.8682<br />

5<br />

37<br />

Rb<br />

2<br />

S12 /<br />

38<br />

Sr<br />

Strontium<br />

1 S0<br />

39<br />

Y<br />

Yttrium<br />

2<br />

D32 /<br />

40<br />

Zr<br />

Zirconium<br />

3 F2<br />

41<br />

Nb<br />

Niobium<br />

6<br />

D12 /<br />

42<br />

Mo<br />

7 S3<br />

43<br />

Tc<br />

6<br />

S52 /<br />

44<br />

Ru<br />

5 F5<br />

45<br />

Rh<br />

4<br />

F92 /<br />

46<br />

Pd<br />

1 S0<br />

47<br />

Ag<br />

Silver<br />

2<br />

S12 /<br />

48<br />

Cd<br />

49<br />

In<br />

Indium<br />

2<br />

P°1/ 2<br />

54<br />

Xe<br />

Xenon<br />

Potassium<br />

39.0983<br />

[Ar]4s<br />

4.3407<br />

40.078<br />

[Ar]4s<br />

6.1132<br />

2<br />

Scandium<br />

44.95591<br />

[Ar]3d4s<br />

6.5615<br />

2<br />

47.867<br />

2 2<br />

[Ar]3d 4s<br />

6.8281<br />

Vanadium<br />

50.9415<br />

3 2<br />

[Ar]3d 4s<br />

6.7462<br />

6.7665<br />

51.9961<br />

Manganese<br />

54.93805<br />

5 2<br />

[Ar]3d 4s<br />

7.4340<br />

55.845<br />

6 2<br />

[Ar]3d 4s<br />

7.9024<br />

58.93320<br />

7 2<br />

[Ar]3d 4s<br />

7.8810<br />

58.6934<br />

8 2<br />

[Ar]3d 4s<br />

7.6398<br />

7.7264<br />

63.546<br />

Germanium<br />

65.39 69.723 72.61 74.92160 78.96 79.904 83.80<br />

10 2<br />

10 2<br />

10 2 2 10 2 3 10 2 4 10 2 5 10 2 6<br />

[Ar]3d 4s [Ar]3d 4s 4p [Ar]3d 4s 4p [Ar]3d 4s 4p [Ar]3d 4s 4p [Ar]3d 4s 4p [Ar]3d 4s 4p<br />

9.3942 5.9993 7.8994 9.7886 9.7524 11.8138 13.9996<br />

1 3 3 1<br />

S0<br />

P0<br />

P2<br />

S0<br />

50<br />

Sn<br />

Tin<br />

51<br />

Sb<br />

4<br />

S°3/ 2<br />

52<br />

Te<br />

Tellurium<br />

53<br />

I<br />

Iodine<br />

2<br />

P°3/ 2<br />

257<br />

Period<br />

5<br />

[Ar]3d 4s<br />

10<br />

[Ar]3d 4s<br />

4<br />

19<br />

K<br />

2<br />

S12 /<br />

20<br />

Ca<br />

Calcium<br />

1 S0<br />

21<br />

Sc<br />

22<br />

Ti<br />

Titanium<br />

23<br />

V<br />

24<br />

Cr<br />

Chromium<br />

Mn<br />

26<br />

Fe<br />

Iron<br />

30<br />

Zn<br />

Zinc<br />

31<br />

Ga<br />

Gallium<br />

32<br />

Ge<br />

33<br />

As<br />

Arsenic<br />

34<br />

Se<br />

Selenium<br />

35<br />

Br<br />

Bromine<br />

36<br />

Kr<br />

Krypton<br />

IIIA IVA VA VIA VIIA<br />

3 7<br />

F2<br />

S3 25<br />

2<br />

D32 /<br />

4<br />

F32 /<br />

6<br />

S52 /<br />

5 D4<br />

27<br />

Co<br />

Cobalt<br />

4<br />

F92 /<br />

28<br />

Ni<br />

Nickel<br />

3 F4<br />

Cu<br />

Copper<br />

22.98977<br />

[Ne]3s<br />

5.1391<br />

Magnesium<br />

24.3050<br />

[Ne]3s<br />

7.6462<br />

2<br />

VIIIA<br />

IB IIB<br />

29<br />

2<br />

S12 /<br />

1 S0<br />

2<br />

P°1/ 2<br />

3 P0<br />

4<br />

S°3/ 2<br />

3 P2<br />

2<br />

P°3/ 2<br />

1 S0<br />

Aluminum<br />

26.98154<br />

2<br />

[Ne]3s 3p<br />

5.9858<br />

28.0855<br />

2 2<br />

[Ne]3s 3p<br />

8.1517<br />

Phosphorus<br />

30.97376<br />

2 3<br />

[Ne]3s 3p<br />

10.4867<br />

32.066<br />

2 4<br />

[Ne]3s 3p<br />

10.3600<br />

35.4527<br />

2 5<br />

[Ne]3s 3p<br />

12.9676<br />

39.948<br />

2 6<br />

[Ne]3s 3p<br />

15.7596<br />

3<br />

11<br />

Na<br />

Sodium<br />

2<br />

S12 /<br />

12<br />

Mg<br />

1 S0<br />

13<br />

Al<br />

14<br />

Si<br />

Silicon<br />

15<br />

P<br />

16<br />

S<br />

Sulfur<br />

17<br />

Cl<br />

Chlorine<br />

18<br />

Ar<br />

Argon<br />

5.3917<br />

2<br />

1s 2s<br />

6.941<br />

Beryllium<br />

9.01218<br />

2 2<br />

1s 2s<br />

9.3227<br />

10.811<br />

2 2<br />

1s 2s 2p<br />

8.2980<br />

12.0107<br />

2 2 2<br />

1s 2s 2p<br />

11.2603<br />

14.00674<br />

2 2 3<br />

1s 2s 2p<br />

14.5341<br />

15.9994<br />

2 2 4<br />

1s 2s 2p<br />

13.6181<br />

18.99840<br />

2 2 5<br />

1s 2s 2p<br />

17.4228<br />

20.1797<br />

2 2 6<br />

1s 2s 2p<br />

21.5646<br />

2<br />

Li<br />

Lithium<br />

B<br />

Boron<br />

C<br />

Carbon<br />

N<br />

Nitrogen<br />

O<br />

Oxygen<br />

F<br />

Fluorine<br />

3<br />

2<br />

S12 /<br />

4<br />

Be<br />

10<br />

Ne<br />

Neon<br />

Hydrogen<br />

1.00794<br />

1s<br />

13.5984<br />

IIA<br />

IIIB IVB VB VIB VIIB<br />

3 3<br />

5 6 P0 7 8 P2 9<br />

1s 2<br />

4.00260<br />

24.5874<br />

1<br />

H<br />

Frequently used fundamental physical constants<br />

For the most accurate values <strong>of</strong> these and other constants, visit physics.nist.gov/constants<br />

1 second = 9 192 631 770 periods <strong>of</strong> radiation corresponding to the transition<br />

133<br />

between the two hyperfine levels <strong>of</strong> the ground state <strong>of</strong> Cs<br />

�1<br />

speed <strong>of</strong> light in vacuum c 299 792 458 m s (exact)<br />

�34<br />

Planck constant h 6.6261 � 10 J s ( h=h/2<br />

�)<br />

�19<br />

elementary charge e 1.6022 � 10 C<br />

�31<br />

electron mass me<br />

9.1094 � 10 kg<br />

2<br />

mc e 0.5110 MeV<br />

�27<br />

proton mass mp<br />

1.6726 � 10 kg<br />

fine-structure constant � 1/137.036<br />

�1<br />

Rydberg constant R�<br />

10 973 732 m<br />

15<br />

Rc � 3.289 84 � 10 Hz<br />

Rhc � 13.6057 eV<br />

�23 �1<br />

Boltzmann constant k 1.3807 � 10 J K<br />

2<br />

P°1/ 2<br />

3 P0<br />

4<br />

S°3/ 2<br />

3 P2<br />

2<br />

P°3/ 2<br />

1 S0<br />

1 S0<br />

2<br />

P°1<br />

/ 2<br />

4<br />

S°3<br />

/ 2<br />

2<br />

P°3<br />

/ 2<br />

1 S0<br />

U.S. DEPARTMENT OF COMMERCE<br />

Technology Administration<br />

National Institute <strong>of</strong> Standards and Technology<br />

He<br />

Helium<br />

Group<br />

IA<br />

1<br />

2<br />

S12 /<br />

P E R I O D I C T A B L E<br />

Atomic Properties <strong>of</strong> the Elements<br />

physics.nist.gov www.nist.gov www.nist.gov/srd<br />

Physics<br />

Laboratory<br />

Standard Reference<br />

Data Program<br />

VIII<br />

2<br />

1 S0

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