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Covalent radius
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==Radius for multiple bonds== A different approach is to make a self-consistent fit for all elements in a smaller set of molecules. This was done separately for single,<ref name="Calc1">{{cite journal|author1=P. Pyykkö|author2=M. Atsumi|year=2009|title=Molecular Single-Bond Covalent Radii for Elements 1-118|journal=Chemistry: A European Journal|volume=15|issue=1|pages=186–197|doi=10.1002/chem.200800987|pmid=19058281}}</ref> double,<ref name="Calc2">{{cite journal|author1=P. Pyykkö|author2=M. Atsumi|year=2009|title=Molecular Double-Bond Covalent Radii for Elements Li–E112|journal=Chemistry: A European Journal|volume=15|issue=46|pages=12770–12779|doi=10.1002/chem.200901472|pmid=19856342}}. Figure 3 of this paper contains all radii of refs. [5-7]. The mean-square deviation of each set is 3 pm.</ref> and triple bonds<ref name="Calc3">{{cite journal|author1=P. Pyykkö|author2=S. Riedel|author3=M. Patzschke|year=2005|title=Triple-Bond Covalent Radii|journal=Chemistry: A European Journal|volume=11|issue=12|pages=3511–3520|doi=10.1002/chem.200401299|pmid=15832398}}</ref> up to superheavy elements. Both experimental and computational data were used. The single-bond results are often similar to those of Cordero et al.<ref name="CSD" /> When they are different, the [[coordination number]]s used can be different. This is notably the case for most (d and f) transition metals. Normally one expects that ''r''<sub>1</sub> > ''r''<sub>2</sub> > ''r''<sub>3</sub>. Deviations may occur for weak multiple bonds, if the differences of the ligand are larger than the differences of ''R'' in the data used. Note that elements up to [[atomic number]] 118 ([[oganesson]]) have now been experimentally produced and that there are chemical studies on an increasing number of them. The same, self-consistent approach was used to fit tetrahedral covalent radii for 30 elements in 48 crystals with subpicometer accuracy.<ref name="Tet">{{cite journal|author1=P. Pyykkö|year=2012|title=Refitted tetrahedral covalent radii for solids|journal=Physical Review B|volume=85|issue=2|pages=024115, 7 p|bibcode=2012PhRvB..85b4115P|doi=10.1103/PhysRevB.85.024115}}</ref> {| style="text-align: center; border: none; min-width:70em" cellpadding="2" cellspacing="0" |+ '''Single-,<ref name="Calc1" /> double-,<ref name="Calc2" /> and triple-bond<ref name="Calc3" /> covalent radii, determined using typically <br>400 experimental or calculated primary distances, ''R'', per set.''' |- style="background: #7DF9FF;" |H | colspan="17" style="background: #ffffff;" | |He |- style="background: #efefef;" |1|| colspan="17" style="background: #ffffff;" | ||2 |- |32<br>-<br>-|| colspan="17" | ||46<br>-<br>- |- style="background: #7DF9FF;" |Li||Be|| colspan="11" style="background: #ffffff;" | ||B||C||N||O||F||Ne |- style="background: #efefef;" |3||4|| colspan="11" style="background: #ffffff;" |Radius / [[Picometre|pm]]:||5||6||7||8||9||10 |- valign="top" |133<br>124<br>-||102<br>90<br>85|| colspan="11" |single-bond double-bond triple-bond |85<br>78<br>73||75<br>67<br>60||71<br>60<br>54||63<br>57<br>53||64<br>59<br>53||67<br>96<br>- |- style="background: #7DF9FF;" |Na||Mg|| colspan="11" style="background: #ffffff;" | ||Al||Si||P||S||Cl||Ar |- style="background: #efefef;" |11||12|| colspan="11" style="background: #ffffff;" | ||13||14||15||16||17||18 |- |155<br>160<br>-||139<br>132<br>127|| colspan="11" | ||126<br>113<br>111||116<br>107<br>102||111<br>102<br>94||103<br>94<br>95||99<br>95<br>93||96<br>107<br>96 |- style="background: #7DF9FF;" |K||Ca||style="background: #ffffff;" | ||Sc||Ti||V||Cr||Mn||Fe||Co||Ni||Cu||Zn||Ga||Ge||As||Se||Br||Kr |- style="background: #efefef;" |19||20||style="background: #ffffff;" | ||21||22||23||24||25||26||27||28||29||30||31||32||33||34||35||36 |- valign="top" |196<br>193<br>-||171<br>147<br>133||style="background: #ffffff;" | ||148<br>116<br>114 |136<br>117<br>108||134<br>112<br>106||122<br>111<br>103||119<br>105<br>103||116<br>109<br>102||111<br>103<br>96||110<br>101<br>101||112<br>115<br>120||118<br>120<br>- |124<br>117<br>121||121<br>111<br>114||121<br>114<br>106||116<br>107<br>107||114<br>109<br>110||117<br>121<br>108 |- style="background: #7DF9FF;" |Rb||Sr||style="background: #ffffff;" | ||Y||Zr||Nb||Mo||Tc||Ru||Rh||Pd||Ag||Cd||In||Sn||Sb||Te||I||Xe |- style="background: #efefef;" |37||38||style="background: #ffffff;" | ||39||40||41||42||43||44||45||46||47||48||49||50||51||52||53||54 |- |210<br>202<br>-||185<br>157<br>139||style="background: #ffffff;" | ||163<br>130<br>124 |154<br>127<br>121||147<br>125<br>116||138<br>121<br>113||128<br>120<br>110||125<br>114<br>103||125<br>110<br>106||120<br>117<br>112||128<br>139<br>137||136<br>144<br>- |142<br>136<br>146||140<br>130<br>132||140<br>133<br>127||136<br>128<br>121||133<br>129<br>125||131<br>135<br>122 |- style="background: #7DF9FF;" |Cs||Ba|| style="background: #ffffff;" |*||Lu||Hf||Ta||W||Re||Os||Ir||Pt||Au||Hg||Tl||Pb||Bi||Po||At||Rn |- style="background: #efefef;" |55||56|| style="background: #ffffff;" | ||71||72||73||74||75||76||77||78||79||80||81||82||83||84||85||86 |- |232<br>209<br>-||196<br>161<br>149|| ||162<br>131<br>131 |152<br>128<br>122||146<br>126<br>119||137<br>120<br>115||131<br>119<br>110||129<br>116<br>109||122<br>115<br>107||123<br>112<br>110||124<br>121<br>123||133<br>142<br>- |144<br>142<br>150||144<br>135<br>137||151<br>141<br>135||145<br>135<br>129||147<br>138<br>138||142<br>145<br>133 |- style="background: #7DF9FF;" |Fr||Ra|| style="background: #ffffff;" |**||Lr ||Rf||Db||Sg||Bh||Hs||Mt||Ds||Rg||Cn||Nh||Fl||Mc||Lv||Ts||Og |- style="background: #efefef;" |87||88|| style="background: #ffffff;" | ||103||104||105||106||107||108||109||110||111||112||113||114||115||116||117||118 |- |223<br>218<br>-||201<br>173<br>159|| ||161<br>141<br>- |157<br>140<br>131||149<br>136<br>126||143<br>128<br>121||141<br>128<br>119||134<br>125<br>118||129<br>125<br>113||128<br>116<br>112||121<br>116<br>118||122<br>137<br>130||136<br>-<br>-||143<br>-<br>-||162<br>-<br>-||175<br>-<br>-||165<br>-<br>-||157<br>-<br>- |- | |- style="background: #7DF9FF;" | colspan="2" style="background: #ffffff;" | ||style="background: #ffffff;" |*||La||Ce||Pr||Nd||Pm||Sm||Eu||Gd||Tb||Dy||Ho||Er||Tm||Yb |- style="background: #efefef;" | colspan="3" style="background: #ffffff;" | ||57||58||59||60||61||62||63||64||65||66||67||68||69||70 |- valign="top" | colspan="3" style="background: #ffffff;" | ||180<br>139<br>139||163<br>137<br>131||176<br>138<br>128||174<br>137<br>-||173<br>135<br>-||172<br>134<br>-||168<br>134<br>-||169<br>135<br>132||168<br>135<br>-||167<br>133<br>-||166<br>133<br>-||165<br>133<br>-||164<br>131<br>-||170<br>129<br>- |- style="background: #7DF9FF;" | colspan="2" style="background: #ffffff;" | ||style="background: #ffffff;" |**||Ac||Th||Pa||U||Np||Pu||Am||Cm||Bk||Cf||Es||Fm||Md||No |- style="background: #efefef;" | colspan="3" style="background: #ffffff;" | ||89||90||91||92||93||94||95||96||97||98||99||100||101||102 |- valign="top" | colspan="3" style="background: #ffffff;" | ||186<br>153<br>140||175<br>143<br>136||169<br>138<br>129||170<br>134<br>118||171<br>136<br>116||172<br>135<br>-||166<br>135<br>-||166<br>136<br>-||168<br>139<br>-||168<br>140<br>-||165<br>140<br>-||167<br>-<br>-||173<br>139<br>-||176<br>-<br>- |}
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