Single-c
rystal X-
ray diff
raction analyses of
rs/alpha.gif" BORDER=0>,
rs/omega.gif" BORDER=0 >-alkanedica
rboxylic acids (HOOC-(CH
2)
n-2-COOH,
n = 2-10) have been ca
rried out at 130 and 298 K. Dimo
rphism is p
revalent in odd ca
rbon membe
rs, and thec
rystal st
ructu
res of
rs/alpha.gif" BORDER=0>- and
rs/beta2.gif" BORDER=0 ALIGN="middle">-fo
rms of C7-diacid have been dete
rmined. Diacids show an alte
rnation in thei
rmelting points with membe
rs containing an even numbe
r of ca
rbon atoms exhibiting systematically highe
rmelting points compa
red to odd ones. On the cont
ra
ry, the solid-state densities of odd membe
rs with C
n ![](/images/entities/ge.gif)
5a
re highe
r than those of even membe
rs. Closest packing is the
refo
re not the
reason fo
r alte
rnating meltingpoints in diacids. Diacids with C
n ![](/images/entities/ge.gif)
5 show distinct packing
regula
rities within even se
ries and also within
rs/alpha.gif" BORDER=0>-and
rs/beta2.gif" BORDER=0 ALIGN="middle">-se
ries of odd membe
rs. The g
ross st
ructu
ral featu
res a
re simila
r in even and (both fo
rms of) odddiacids: (a) ca
rboxy g
roups fo
rm hyd
rogen bonded dime
rs at both ends of the molecules, leading to infinitechains, and (b) methylene chains stack into columns th
rough hyd
rophobic inte
ractions. Howeve
r, the
re a
rece
rtain diffe
rences within these simila
r packing patte
rns that a
re impo
rtant in the context of melting pointalte
rnation: (a) molecules a
re offset along thei
r length within the columna
r stacks in even membe
rs, whe
reassuch an offset is absent in both fo
rms of odd membe
rs, and (b) molecules in both modifications of odd membe
rsexhibit twisted molecula
r confo
rmations with seve
re to
rsions as opposed to the non-twisted all-
trans confo
rmationin the even membe
rs. Ene
rgies of the ideal and obse
rved confo
rmations have been computed with the hyb
rid-DFT method B3LYP and 6-31G* basis set. A simple geomet
rical model has been developed whe
rein the evenand odd membe
rs a
re desc
ribed as modified pa
rallelog
rams and t
rapezoids,
respectively. It is shown that,whe
reas the packing of pa
rallelog
rams allows an offset which
reduces the
repulsions between the ca
rboxydime
rs of adjacent hyd
rogen bonded chains, a simila
r offset is fo
rbidden fo
r the packing of t
rapezoids. Themodel also suggests the
reason fo
r the p
revalence of dimo
rphism in odd diacids. Because the twisted molecula
rconfo
rmations in odd diacids a
re associated with high ene
rgy, they have lowe
r melting points. The meltingpoint alte
rnation in diacids is the
refo
re att
ributed to the geomet
ry-allowed o
r -fo
rbidden attainment of an offsetpacking with a non-twist molecula
r confo
rmation.