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The extended variant of the bond valence ( s )–bond length ( r ) correlation curve for boron(III)–oxygen bonds has been closely approximated using the three-parameter function  s  = [ k /( r  –  l )] –  m , where  s  is measured in valence units ( vu ),  r  is measured in Å,  k  = 0.53 Å· vu ,  l  = 0.975(1) Å and  m  = 0.32  vu . The function  s  = exp[( r  0  –  r )/ b ] traditionally used in the modern bond valence model requires the separate set of the bond valence parameters ( r  0  = 1.362 Å;  b  = 0.23 Å) in order to approximate the above  s – r  curve for the bonds shorter than ∼1.3 Å.

The extended variant of the bond valence–bond length correlation curve for boron(III)–oxygen bonds