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Ligand cone angle
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Everything about Ligand Cone Angle totally explained

Ligand cone angle (also known as the Tolman cone angle) is a measure of the size of a ligand. It is defined as the solid angle formed with the metal at the vertex and the hydrogen atoms at the perimeter of the cone (see figure). Tertiary phosphine ligands are commonly classified using this parameter, but the method can be applied to any ligand. The concept of cone angle is of practical importance in homogeneous catalysis because the size of the ligand affects the reactivity of the attached metal center. In a famous example, the selectivity of hydroformylation catalysts is strongly influenced by the size of the coligands.
   The concept of cone angle is most easily visualized with symmetrical ligands, for example PR3. But the approach has been refined to include less symmetrical ligands of the type PRR'R" as well as diphosphines. In the case of diphopshines the cone angles are given for half the chelate assuming a bite angle of 74, 85, 90 deg. for diphosphines with methylene, ethylene, and propylene back bones respectively.
   The term cone angle was introduced by Chadwick A. Tolman.
   Cone angles of common phosphine ligands in degrees:
ligand angle (deg)
PH3 87
PF3 104
P(OCH3)3 107
dmpe 107
depe 115
P(CH3)3 118
dppm 121
dppe 125
dppp 127
P(CH2CH3)3 132
dcpe 142
P(C6H5)3 145
P(cyclo-C6H11)3 170
P(t-Bu)3 182
P(C6F5)3 184
P(2,4,6-Me3C6H2)3 212
One remarkable features become clear from these data: some ligands occupy more than half of the coordination sphere of a metal center.

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