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離子半徑

維基百科,自由的百科全書

這是本頁的一個歷史版本,由MrSeaman留言 | 貢獻2009年6月24日 (三) 07:35編輯。這可能和目前版本存在著巨大的差異。

離子半徑rion)是對晶格離子的大小的一種量度。離子半徑以皮米(pm)或(Å)中的一種為單位(1Å=100pm)。通常,離子半徑常在30pm(0.3Å)到200pm(2Å)之間。

離子半徑的概念是由Goldschmidt和Linus Pauling在20世紀20年代分別獨立提出,以總結由當時的新技術——X射線晶體學所產生的數據。Pauling所提出的方法更有影響力。X射線晶體學可以迅速給出一個晶胞的各邊長度,但這一技術在大多數情況下並不能夠分別兩個不同的離子。例如,我們可以通過X射線晶體學得知氯化鈉晶體晶胞的邊長是564.02 pm,而這一長度是一個鈉離子與一個氯離子中心間距離的兩倍:

2[rion(Na+) + rion(Cl)] = 564.02 pm

然而,我們無法看出這一長度中鈉離子半徑和氯離子半徑各自所占的比例。通過對多種不同化合物的比較和一定的直覺,Pauling將O2−的半徑定為140 pm,並由此進一步計算其他離子的半徑。[1]


經過1976年對晶體數據的校對,一份修訂版的離子半徑數據被公布[2],而這份新數據比Pauling的原始數據更好。Some sources have retained Pauling's reference of rion(O2−) = 140 pm, while other sources prefer to list "effective" ionic radii based on rion(O2−) = 126 pm. The latter values are thought to be a more accurate approximation to the "true" relative sizes of anions and cations in ionic crystals.

The ionic radius is not a fixed property of a given ion, but varies with coordination number, spin state and other parameters. Nevertheless, ionic radius values are sufficiently transferable to allow periodic trends to be recognized. As with other types of atomic radius, ionic radii increase on descending a group. Ionic size (for the same ion) also increases with increasing coordination number, and an ion in a high-spin state will be larger than the same ion in a low-spin state. Anions (negatively charged) are almost invariable larger than cations (positively charged), although the fluorides of some alkali metals are rare exceptions. In general, ionic radius decreases with increasing positive charge and increases with increasing negative charge.

X NaX AgX
F 464 492
Cl 564 555
Br 598 577
Unit cell parameters (in pm, equal to two M–X bond lengths) for sodium and silver halides. All compounds crystallize in the NaCl structure.

An "anomalous" ionic radius in a crystal is often a sign of significant covalent character in the bonding. No bond is completely ionic, and some supposedly "ionic" compounds, especially of the transition metals, are particularly covalent in character. This is illustrated by the unit cell parameters for sodium and silver halides in the table. On the basis of the fluorides, one would say that Ag+ is larger than Na+, but on the basis of the chlorides and bromides the opposite appears to be true.[3] This is because the greater covalent character of the bonds in AgCl and AgBr reduces the bond length and hence the apparent ionic radius of Ag+, an effect which is not present in the halides of the more electropositive sodium, nor in silver fluoride in which the fluoride ion is relatively unpolarizable.

Ionic radii 6 coordinate unless marked
(e.g +34). ls = low spin, hs= high spin. [2]
原子序數 元素名稱 元素符號 離子半徑pm
3 Li
+1 76
4 Be
+2 45
5 B
+3 27
6 C
+4 16
7 N
−34 146
+3 16
+5 13
8 O
−2 140
9 F
−1 133
+7 8
11 Na
+1 102
12 Mg
+2 72
13 Al
+3 53.5
14 Si
+4 40
15 P
+3 44
+5 38
16 S
−2 184
+4 37
+6 29
17 Cl
−1 181
+5 12
+7 27
19 K
+1 138
20 Ca
+2 100
21 Sc
+3 74.5
22 Ti
+2 86
+3 67
+4 60.5
23 V
+2 64
+4 58
+5 54
24 Cr
+2 73 ls
+2 80 hs
+3 61.5
+4 55
+5 49
+6 44
25 Mn
+2 67
+3 58 ls
+3 64.5 hs
+4 53
+54 33
+64 25.5
+7 46
26 Fe
+2 61 ls
+2 78 hs
+3 55 ls
+3 64.5 hs
+4 58.5
+64 25
27 Co
+2 65 ls
+2 74.5 hs
+3 54.5 ls
+3 61 hs
+4 53
28 Ni
+2 69
+3 56 ls
+3 60 hs
+4 48 ls
29 Cu
+1 77
+2 73
+3 54 ls
30 Zn
+2 74
31 Ga
+3 62
32 Ge
+2 73
+4 53
33 As
+3 58
+5 46
34 Se
−2 198
+4 50
+6 42
35 Br
−1 196
+34sq 59
+54 31
+7 39
37 Rb
+1 152
38 Sr
+2 118
39 Y
+3 90
40 Zr
+4 72
41 Nb
+3 72
+4 68
+5 64
42 Mo
+3 69
+4 65
+5 61
+6 59
43 Tc
+4 64.5
+5 60
+7 56
44 Ru
+3 68
+4 62
+5 56.5
+74 38
+84 36
45 Rh
+3 66.5
+4 60
+5 55
46 Pd
+12 59
+2 86
+3 76
+4 61.5
47 Ag
+1 115
+2 94
+3 75
48 Cd
+2 95
49 In
+3 80
50 Sn
+2 112[來源請求]
+4 69
51 Sb
+3 76
+5 60
52 Te
−2 221
+4 97
+6 56
53 I
−1 220
+5 95
+7 53
54 Xe
+8 48
55 Cs
+1 167
56 Ba
+2 135
57 La
+3 103.2
58 Ce
+3 102
+4 87
59 Pr
+3 99
+4 85
60 Nd
+28 129
+3 98.3
61 Pm
+3 97
62 Sm
+24 122
+3 95.8
63 Eu
+2 117
+3 94.7
64 Gd
+3 93.8
65 Tb
+3 92.3
+4 76
66 Dy
+2 107
+3 91.2
67 Ho
+3 90.1
68 Er
+3 89
69 Tm
+2 103
+3 88
70 Yb
+2 102
+3 86.8
71 Lu
+3 86.1
72 Hf
+4 71
73 Ta
+3 72
+4 68
+5 64
74 W
+4 66
+5 62
+6 60
75 Re
+4 63
+5 58
+6 55
+7 53
76 Os
+4 63
+5 57.5
+6 54.5
+7 52.5
+84 39
77 Ir
+3 68
+4 62.5
+5 57
78 Pt
+2 86
+4 62.5
+5 57
79 Au
+1 137
+3 85
+5 57
80 Hg
+1 119
+2 102
81 Tl
+1 150
+3 88.5
82 Pb
+2 119
+4 77.5
83 Bi
+3 103
+5 76
84 Po
+4 94
+6 67
85 At
+7 62
87 Fr
+1 180
88 Ra
+28 148
89 Ac
+3 112
90 Th
+4 94
91 Pa
+3 104
+4 90
+5 78
92 U
+3 102.5
+4 89
+5 78
+6 73
93 Np
+2 110
+3 101
+4 87
+5 75
+6 72
+7 71
94 Pu
+3 100
+4 86
+5 74
+6 71
95 Am
+28 126
+3 97.5
+4 85
96 Cm
+3 97
+4 85
97 Bk
+3 96
+4 83
98 Cf
+3 95
+4 82.1

See also

References

  1. ^ Pauling, L. (1960). The Nature of the Chemical Bond (3rd Edn.). Ithaca, NY: Cornell University Press.
  2. ^ 2.0 2.1 Revised effective ionic radii and systematic studies of interatomic distances in halides and chalcogenides Shannon R.D. Acta Cryst. A32 751-767 (1976) doi:10.1107/S0567739476001551
  3. ^ On the basis of conventional ionic radii, Ag+ (129 pm) is indeed larger than Na+ (116 pm)