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Interpenetrated Three-Dimensional Networks of Hydrogen-BondedOrganic Species: A Systematic Analysis of the Cambridge StructuralDatabase
Igor A. Baburin,† Vladislav A. Blatov,*,† Lucia Carlucci,‡ Gianfranco Ciani,‡ andDavide M. Proserpio*,‡
Samara State UniVersity, Ac. PaVloV St. 1, 443011 Samara, Russia, and Dipartimento di ChimicaStrutturale e Stereochimica Inorganica (DCSSI), UniVersità di Milano, Via G. Venezian 21,20133 Milano, Italy
ReceiVed June 21, 2007; ReVised Manuscript ReceiVed NoVember 8, 2007
ABSTRACT: Interpenetration in extended three-dimensional (3D) arrays has been investigated by a systematic analysis of thecrystallographic structural databases, using an ad hoc version of the program package TOPOS. In this paper we describe thecomprehensive results of our investigation of interpenetration in organic hydrogen-bonded 3D arrays from the Cambridge StructuralDatabase. The great interest in the self-assembly of organic molecules into hydrogen-bonded supramolecular arrays has promptedus to investigate these systems at a rather unusual level; that is, beyond the formation of synthons, we have examined the topologiesof the resulting networks and looked for their entanglements. Within 3D architectures we have extracted a complete list including122 different motifs showing the phenomenon of interpenetration (76 unseen by the original authors). These organic networksinclude species assembled by a single or by different building blocks; they are discussed and classified according to the previouslyintroduced classes of interpenetration and to other criteria peculiar of hydrogen-bonded organic species. Considerations of the possiblerelations of the building organic species and their network topology and on the factors determining interpenetration are here presented.The paper is also intended as a contribution to the study of the phenomena of polymorphism and supramolecular isomerism and ofthe crystal engineering of these complex architectures.
Introduction
Interpenetrating networks1 are nowadays common, and three-dimensional (3D) entangled arrays are often encountered in thefield of crystal engineering of metal-organic and inorganicnetworks, as well as in the design of supramolecular arrays ofweakly bonded organic molecules. To rationalize these complexsystems we need to investigate both the topology of theindividual networks and the “topology of interpenetration,”2 thatis, the way in which the individual nets are multiply (n-fold)entangled. This difficult and troublesome analysis can only becarried out by computer. We have previously reported ourstudies on interpenetrating metal-organic2d and inorganic2e
networks, using a tailored version of TOPOS (a package formultipurpose crystallochemical analysis). We describe now thecomprehensive results of our analysis of interpenetration inorganic hydrogen-bonded 3D arrays (strong hydrogen-bonds)from the Cambridge Structural Database (CSD, version 5.28of November 2006).
Organic structures were first chosen among other hydrogen-bonded compounds because the existence of well-definedmolecules connected by strong hydrogen bonds makes theconclusions about interpenetration phenomenon reliable andunambiguous. The other class of interpenetrating hydrogen-bonded nets that include metal-organic frameworks will beconsidered in a further publication.
The self-assembly of organic molecules into hydrogen-bondedsupramolecular arrays has been the subject of a number ofstudies concerning the synthetic approaches, the classificationand rationalization of the patterns, and the factors governing
the crystal engineering of these molecular materials. In principle,molecular building blocks (tectons) can be combined usingsuitable strategies to construct networks of desired topology.Unfortunately, while specific links between the building blocks(supramolecular synthons)3 can sometimes be controlled, theprocess leading from molecules to their periodic supramoleculararrays in crystals is still “a major challenge in the crystalengineering of molecular solids”.3a
In the attempt to get closer to this goal, as well as to possessa detailed knowledge of the synthons, more attention needs tobe devoted to the topology of the final architecture (targetnetwork) through the analysis of related structures reported inthe literature by searching for prototypical models that can fitthe specific problem. The large number of networks recentlyreported offers a rich variety of new structural types thatcontinuously increase our knowledge of these organic ormetal-organic extended systems. Indeed, the “network ap-proach” or topological approach to crystal chemistry4 is a usefultool for the analysis of network structures in that it simplifiescomplex species to schematized nets and allows easier com-parisons among packing trends that may help in the rationaldesign of such materials. However, many papers reportingcrystal structures of hydrogen-bonded organic species, especiallythe less recent ones, do not discuss the supramolecular nets(connectivity, dimensionality) and their topology (or sometimesassign incorrect ones) and generally overlook entanglement andinterpenetration phenomena (only a quarter of the structuresdescribed in this paper have been explicitly recognized asinterpenetrated).
The topological rationalization of hydrogen-bonded organicframes is more difficult than that of metal-organic frames(MOFs): in the latter case metallic nodes and organic spacersare usually well-recognizable entities, while in organic framesthe selection of the nodes is more ambiguous and the alternative
* To whom correspondence should be addressed. (D.M.P.) Phone: +39-0250314446. Fax: +39-0250314454. E-mail: [email protected].(V.A.B.) Phone: +7-8463345445. Fax: +7-8463345417. E-mail: [email protected].
† Samara State University.‡ Università di Milano.
CRYSTALGROWTH& DESIGN
2008VOL. 8, NO. 2
519–539
10.1021/cg0705660 CCC: $40.75 2008 American Chemical SocietyPublished on Web 01/23/2008
choice of the single tecton or of an oligomeric group as nodeleads to different, although interrelated, topological classifica-tions. The previously introduced classification of interpenetratednet arrays2d,e has also been applied here to hydrogen-bondedorganic frames, together with some specific parameters, and thepeculiar features of the interpenetration are discussed andcompared with those observed in other classes of materials. Notethat the world record of interpenetration (18-fold) has beenobserved in a hydrogen-bonded organic frame. Using the listof the resulting interpenetrated net arrays we have furthersearched the CSD, looking for other species with identical orvery similar composition, to possibly obtain new informationfor the study of polymorphism and in crystal design.
The TOPOS Approach. In this study we have consideredall organic (i.e., not containing metal atoms) compounds whosecrystal structures are completely determined (except, possibly,for all the positions of hydrogen atoms) and collected in theCambridge Structural Database (CSD, version 5.28 of November2006). To find the interpenetrating arrays in an automated modewe have used the program package TOPOS5 with somesubroutines especially designed to process hydrogen-bondedstructures. Only strong or moderately strong hydrogen bonds6
were considered.The following criteria were applied to recognize different
types of intermolecular A-H · · ·B hydrogen bonding (intramo-lecular hydrogen-bonds are irrelevant to our topological analy-sis):
(1) Only A, B ) N, O, F were considered, although nointerpenetrating arrays with F-H · · ·B or A-H · · ·F hydrogenbonds were found.
(2) The distance restriction R(A · · ·B) e 3.5 Å was used. Ifthe pertinent hydrogen atom positions were available, additionalrestrictions R(H · · ·B) e 2.5 Å and ∠ A-H · · ·B g 120° wereapplied.
(3) In addition, the geometrical criteria derived fromVoronoi-Dirichlet polyhedra (VDP) of A, B, and H atoms wereconsidered. A VDP is a convex polyhedron whose faces areperpendicular to segments connecting a central atom to other(surrounding) atoms, with each face bisecting the correspondingsegment. The atom size in the crystal structure can be evaluatedas the volume of its VDP or as Rsd, the radius of a sphere ofthe same volume as the VDP. Inasmuch as all surrounding atomsinfluence the VDP characteristics, VDP enables one to take intoaccount the whole environment of interacting atoms. In par-ticular, any pair of neighbor atoms has to be separated by acommon face for their VDPs, and the size of a face is largerfor stronger bonds. We have assessed this size as the solid angleof the face (Ω) expressed in percentage of the sum of solidangles for all faces (4π steradian, see also Figure 1). All contactsH · · ·B or A · · ·B with Ω < 10% were discarded as weakhydrogen bonds.
(4) As in previous papers,2d,e to find valence bonds weconsider two spheres around each atom: an internal sphere ofSlater’s radius and an external sphere with the radius equal toRsd. A valence bonding is assumed to exist if there are at leasttwo intersections between the spheres of interacting atoms.5 Inaddition, this criterion enabled us to automatically recognizesymmetrical A-H-B and resonance A-H T H-B hydrogenbonds, by finding two valence contacts with participation ofhydrogen atoms.
The validity of these criteria was checked by comparison with60 899 compounds where hydrogen bonds (A, B ) N, O) existaccording to CSD information7 and with all hydrogen-bondedinterpenetrating arrays listed by Batten (http://www.chem.mo-
nash.edu.au/staff/sbatten/interpen/examples.html), and no dis-crepancies were found.
We have used the TOPOS algorithm as recently applied tostudy valence bonded metal-organic and inorganic 3D frame-works, including inorganic compounds with hydrogen-bonds.2d,e
We consider here crystal structures that contain organicmolecules only (except for few species containing also someinorganic counteranions) and, since often the location of watermolecules is poorly determined, we discarded cases where watermolecules take part in the hydrogen-bond network.
122 interpenetrating arrays were revealed (Table 1) consistingof isolated organic molecules linked into 3D frameworks byhydrogen bonds (no valence bonded polymeric substructureswere found). The nodes of the networks are therefore singlemolecules (tectons), a choice that naturally comes out from theautomatic search routine (we call this the “standard topology”).Alternative more complex nodes could also be envisaged byselecting groups of linked molecules (ring synthons, vide infra),thus producing different topologies. We use a number ofpreviously proposed descriptors to classify the interpenetrationpatterns.2d,e
Seventy-six interpenetrated net arrays formed by hydrogenbonds between the ligands of metal complexes have been alsofound, but they will be discussed in a separate publication.
Let us emphasize that both search and classification of theinterpenetrating hydrogen-bonded arrays are performed here forthe first time using strict computer algorithms. Such approachallows one to find out all the cases irrespective of the crystalstructure complexity and to avoid faults and misses of humanhandmade analysis. In particular, 71% of the structures listedin Table 1 were not recognized as interpenetrated by the authorsof original works and were not presented in the most compre-hensive Batten’s collection. Furthermore, in 25% of thestructures the 3D nature of the hydrogen-bond interactions wasnot recognized.
Analysis of the Results. The results of the present analysisare listed in Table 1, which includes 122 different interpenetrat-
Figure 1. Voronoi-Dirichlet polyhedron of a hydrogen atom in thecrystal structure of -quinol (HYQUIN05). Hydrogen bonds are shownby dash-and-dot lines. The solid angle of the pyramid at the oxygenatom, Ω(H · · ·O) ) 20.1%, is equal to the solid angle of thecorresponding VDP face.
520 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
Tab
le1.
Inte
rpen
etra
ting
Hyd
roge
n-B
onde
dN
etw
orks
a
RE
FCO
DE
nam
ety
pe(n
ode)
net
Zcl
ass
sym
met
ryH
BR
Ino
te
3-co
nnec
ted
nets
IBU
XIN
3,5-
dini
trob
enza
mid
ehy
drat
eA
Adi
a-f
6Ia
[0,0
,1]
(6.0
0)1.
33I,
lvt,
a,b,
cA
HE
GO
J2-
amin
o-4-
(4-c
hlor
ophe
nylth
io)-
6-m
orph
olin
opyr
imid
ine
AA
dia-
f2
Ia[0
,0,1
](7
.01)
1.33
I,lv
t,a,
bIQ
AFE
L2-
brom
o-6-
etho
xy-7
-hyd
roxy
-6,7
-dih
ydro
-5H
-im
idaz
o[1,
2-b]
[1,2
,4]
tria
zin-
3-on
eA
Adi
a-f
2Ia
[0,0
,1]
(4.2
2)1.
33I,
lvt,
a,b
QE
CN
AN
1-hy
drox
y-2-
phen
yl-1
H-2
,4,1
-ben
zodi
azab
orin
-3-o
neA
Adi
a-f
2Ia
[0,0
,1]
(7.7
4)1.
33I,
lvt,
a,b
KU
STO
H(2
R,9
S,12
S,13
R)-
12-(
cycl
ohex
ylm
ethy
l)-9
-[[(
1,1-
dim
ethy
leth
oxy)
carb
onyl
]am
ino]
-13-
hydr
oxy-
2-(m
orph
olin
omet
hyl)
-6,1
0,14
-tri
oxo-
1,7-
diox
a-11
-aza
cycl
otet
rade
cane
AA
eta
2Ia
[0,0
,1]
(18.
93)
2.00
a,b
UG
UM
UE
5-(t
riflu
orom
ethy
l)ur
acil
AA
etb
2Ia
[0,0
,1]
(5.1
9)1.
33I,
nbo,
a,b
SAY
NA
I01
3-(c
hlor
oace
tam
ido)
pyra
zole
AA
lig3
Ia[0
,0,1
](5
.20)
1.33
I,lv
t,a
QA
CPE
P2-
amin
o-5-
n-bu
tyl-
3-et
hyl-
6-m
ethy
l-4(
3H)p
yrim
idin
one
AA
lig2
Ia[0
,0,1
](8
.81)
1.33
I,lv
t,a,
bK
APF
IR2,
6-di
amin
opyr
idin
ium
4-ni
trop
heno
late
4-ni
trop
heno
lA
BC
(AB
)cd
s-3-
Pnn
a3
Ia[1
,0,0
](1
3.61
)1.
25a
KA
NV
UR
4-he
xyl-
6-am
ino-
3-ph
enyl
-5-c
yano
-2H
,4H
-pyr
ano(
2,3-
c)py
razo
leA
Apc
u-h
2Ia
[1,1
,1]
(8.4
8)1.
33V
III,
nbo,
aSA
YM
UB
01bi
s(be
nzen
e-1,
3,5-
tric
arbo
xylic
acid
)tr
is(1
,2-b
is(4
-pyr
idyl
)eth
ane)
AB
(A)
srs
18II
Ib4
PIV
s/i
1.00
AD
EN
SLad
enin
ium
sulf
ate
AB
(AB
)sr
s2
IIa
i1.
67a
NU
ZK
AU
met
hyla
mm
oniu
m4-
nitr
ophe
nola
teA
B(A
B)
srs
2II
ai
1.00
aT
IPK
IMN
′-((S
)-N
′-ben
zoyl
-met
hyl-
2-ph
enyl
tyro
syl)
-(S)
-phe
nyla
lani
necy
cloh
exyl
amid
eA
Asr
s2
Ia[0
,0,1
](1
0.68
)1.
33IX
,di
a,a,
b
HN
AFP
Y10
1-(4
-ace
tyl-
5-m
ethy
l-2-
fury
l)-1
,3-d
ideo
xy-3
-nitr
o--
D-x
ylop
yran
ose
AA
ths
3Ia
[0,0
,1]
(17.
98)
1.33
aPA
ZH
OO
3-ca
rbox
ypyr
idin
ium
hydr
ogen
chlo
rani
late
AB
(AB
)th
s2
Ia[0
,1,0
](5
.43)
1.00
a4-
conn
ecte
dne
tsX
EB
TIH
tetr
akis
(4-(
3-hy
drox
yphe
nyl)
phen
yl)m
etha
nebi
s(be
nzoq
uino
ne)
AB
(A)
dia
11Ia
[0,0
,1]
(6.9
1)1.
00Si
(VO
JFA
B)
(4-(
(6-o
xopy
rid-
2-yl
)eth
ynyl
)phe
nyl)
sila
necl
athr
ate
AA
dia
8Ia
[1/2
,1/2
,1/2
](1
9.9)
2.00
IV
OJF
AB
(4-(
(6-o
xopy
rid-
2-yl
)eth
ynyl
)phe
nyl)
met
hane
clat
hrat
eA
Adi
a7
Ia[0
,1,0
](7
.35)
2.00
IG
EJV
EW
adam
anta
ne-1
,3,5
,7-t
etra
carb
oxyl
icac
idA
Adi
a5
Ia[1
,0,0
](7
.51)
2.00
IJA
DM
AD
met
hane
tetr
apro
pion
icac
idA
Adi
a5
Ia[1
,0,0
](9
.46)
2.00
IX
UV
BA
R(m
etha
nete
tray
ltetr
a-4,
1-ph
enyl
ene)
tetr
akis
(bor
onic
acid
)-
two
diff
eren
tcl
athr
ates
:X
UV
BIZ
AA
dia
5Ia
[1,0
,0]
(10.
6–10
.8)
2.00
I
XU
VB
EV
(sila
nete
tray
ltetr
a-4,
1-ph
enyl
ene)
tetr
akis
(bor
onic
acid
)pe
ntak
is(e
thyl
acet
ate)
hydr
ate
clat
hrat
eA
Adi
a5
Ia[1
,0,0
](1
0.84
)2.
00I
JUT
GO
U4-
amin
ophe
nyl(
4′-c
yano
phen
yl)s
ulfo
neA
Adi
a4
IIIa
[0,1
,0]
(8.1
2)/i
1.00
aO
HU
JOQ
16,2
0-di
nitr
o-(3
,4,8
,9)-
dibe
nzo-
2,7-
diox
a-5,
10-d
iaza
[4.4
.4]p
rope
llane
AA
dia
4Ia
[1,0
,0]
(6.8
5)1.
00a
QU
SME
W2,
6-di
met
hyl-
1,3,
5,7-
cycl
ooct
atet
raen
e-1,
3,5,
7-te
trac
arbo
xylic
acid
AA
dia
4II
Ia[1
,0,0
](1
1.09
)/2-
axis
1.00
aC
INM
ER
pyri
dine
3,4-
dica
rbox
ylic
acid
AA
dia
3Ia
[0,0
,1]
(5.2
8)1.
00a
EJU
ZO
Yci
s,ci
s-1,
3,5-
cycl
ohex
anet
rica
rbox
ylat
ehe
mik
is(1
,4-b
is(2
-(4-
pyri
dini
o)et
heny
l)be
nzen
e)A
B(A
)di
a3
Ia[1
,0,0
](4
.79)
1.00
a
FAFX
UF
(+)-
pino
resi
nol
AA
dia
3Ia
[1,0
,0]
(8.2
5)1.
00a,
bG
EST
AZ
met
hane
tetr
acet
icac
idA
Adi
a3
Ia[0
,0,1
](8
.96)
2.00
IG
IMSI
E2-
oxo-
6,6-
dihy
drox
y-ad
aman
tane
-1,3
,5,7
-tet
raca
rbox
ylic
acid
AA
dia
3Ia
[1,0
,0]
(7.3
3)2.
00I
NT
RT
AC
/01
nitr
ilotr
iace
ticac
idA
Adi
a3
Ia[0
,0,1
](6
.49)
1.00
cT
ER
RU
DN
-ace
tyl-
L-g
luta
mic
acid
AA
dia
3Ia
[1,0
,0]
(4.9
0)1.
50V
II,
aB
AX
KIV
amm
oniu
mbi
s(tr
ans-
1,2-
bis(
pyri
d-4-
yl)e
then
eN
,N′-d
ioxi
de)
AB
(A)
dia
2II
a2-
axis
1.00
BE
RC
UW
junc
eine
AA
dia
2Ia
[1/2
,1/2
,0]
(10.
43)
1.00
a,b
BO
LZ
IL2-
hydr
oxy-
N-m
ethy
lcya
noac
etam
ide
AA
dia
2Ia
[0,1
,0]
(3.9
5)1.
00a
CY
AN
AM
01cy
anam
ide
AA
dia
2II
ai
1.00
aFE
WSA
Cci
s-an
ti-4
a,8a
-dim
ethy
l-4b
,5,8
a,8b
-tet
rahy
drop
yrid
o(2
′,3′:3
,4)c
yclo
buta
(1,2
-b)p
yrid
ine-
2,6(
1H,4
aH)-
dion
eA
Adi
a2
IIa
i1.
00a,
b
HIV
BE
Tge
nist
ein
mor
phol
ine
AB
(A)
dia
2II
ai
1.00
aIN
UJU
Wte
trak
is(1
,2-d
ihyd
ro-2
-oxo
-5-p
yrid
yl)s
ilane
-si
xdi
ffer
ent
clat
hrat
esIN
UK
AD
,YIN
JOU
/01,
YIN
KA
H,Y
INK
EL
,YIN
KIP
AA
dia
2Ia
[0,0
,1]
(7.6
6–9.
58)
2.00
JAR
BO
U2,
5-bi
s(4-
amin
ophe
nyl)
-1,3
,4-o
xadi
azol
eA
Adi
a2
IIa
i1.
00a
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 521
Tab
le1.
Con
tinu
ed
RE
FCO
DE
nam
ety
pe(n
ode)
net
Zcl
ass
sym
met
ryH
BR
Ino
te
KE
RB
AK
bis(
1,3-
dim
ethy
lure
ido)
met
hane
AA
dia
2II
ai
1.00
a,b
LA
YFU
Ndi
(2-(
2-hy
drox
yeth
oxy)
phen
yl)
dite
lluri
deA
Adi
a2
IIa
i1.
00a
LU
YG
AN
bis(
C-m
ethy
lcal
ix[4
]res
orci
nare
ne)
tris
(4,4
′-bip
yrid
yl)
AB
(A)
dia
2Ia
[1/2
,1/2
,0]
(15.
28)
2.00
PAN
GO
B4-
amin
o-3-
(1,2
,4-t
riaz
ol-1
-ylm
ethy
l)-1
H-1
,2,4
-tri
azol
e-5(
4H)-
thio
neA
Adi
a2
IIa
i1.
00a
SEJS
IJ1,
1′-(
1,2-
etha
nedi
yl)-
bis(
l-py
rogl
utam
icac
id)
AA
dia
2Ia
[1,0
,0]
(7.5
1)1.
00a
SIV
TU
M(E
,E)-
4-am
ino-
3-cy
ano-
4-m
etho
xy-1
-(4-
met
hoxy
phen
yl)-
2-az
a-1,
3-bu
tadi
ene
AA
dia
2II
ai
1.00
a
TA
QX
AL
1-(c
arbo
xym
ethy
l)ur
acil
AA
dia
2Ia
[0,1
,0]
(4.6
3)2.
00a
VO
BFA
T2,
6-di
met
hylid
enea
dam
anta
ne-1
,3,5
,7-t
etra
carb
oxyl
icac
id-
thre
edi
ffer
ent
clat
hrat
esV
OB
FEX
,V
OB
FIB
AA
dia
2II
ai
2.00
I
VO
BFO
H2,
6-di
met
hylid
enea
dam
anta
ne-1
,3,5
,7-t
etra
carb
oxyl
icac
id-
two
diff
eren
tcl
athr
ates
VO
BFU
NA
Adi
a2
IIa
2-ax
is2.
00I
VO
BG
AU
2,6-
dim
ethy
liden
eada
man
tane
-1,3
,5,7
-tet
raca
rbox
ylic
acid
clat
hrat
eA
Adi
a2
Ia[0
,0,1
](1
0.93
)2.
00I
WE
ZPE
W3-
hydr
oxy-
1-m
ethy
l-4-
oxop
yrid
ine-
6-ca
rbox
ylic
acid
AA
dia
2Ia
[0,1
,0]
(4.5
1)1.
00a,
bZ
ER
MU
E6-
met
hylis
ocyt
osin
e-5-
acet
icac
idA
Adi
a2
Ia[1
,0,0
](4
.90)
1.50
IX,p
cu,a
,bZ
ER
NE
P6-
met
hylis
ocyt
osin
e-5-
prop
ioni
cac
idA
Adi
a2
Ia[1
,0,0
](5
.71)
2.50
IX,
pcu,
a,b
BE
QV
UO
5-hy
drox
yiso
phth
alic
acid
-4,
4′-t
rim
ethy
lene
dipy
ridi
neA
B(A
)cd
s4
IIIa
[0,1
,0]
(7.3
9)/i
1.00
SID
VO
Q3,
4-di
hydr
oxyb
enza
ldeh
yde-
4-ni
trop
heny
l-hy
draz
one
AA
cds
3Ia
[1/2
,1/2
,0]
(7.1
8)1.
00a
ZU
HH
ITp-
acet
amid
oper
benz
oic
acid
AA
cds
3Ia
[1,0
,0]
(5.0
5)1.
00a
ZU
HH
OZ
p-pr
opan
amid
oper
benz
oic
acid
AA
cds
3Ia
[1,0
,0]
(4.8
9)1.
00a
DA
TN
BZ
1,3-
diam
ino-
2,4,
6-tr
initr
oben
zene
AA
cds
2Ia
[0,1
,0]
(5.2
0)1.
00a
BE
WY
OR
5-flu
oro-
1,3-
diam
ino-
2,4,
6-tr
initr
oben
zene
AA
cds
2Ia
[0,1
,0]
(5.1
2)1.
00a
EN
AN
IQ4-
((2-
(4-a
min
ophe
nyl)
ethy
l)su
lfan
yl)p
heno
lA
Acd
s2
Ia[0
,1,0
](5
.86)
1.00
aH
OT
SOY
4,5-
dihy
dro-
7-am
ino-
5-ox
o-[1
,2,4
]-tr
iazo
lo[1
,5-a
]py
rim
idin
eA
Acd
s2
Ia[1
,0,0
](5
.08)
1.50
I,ne
w6-
c,a
JIG
CIL
4-am
inoi
soth
iazo
lo(4
,3-d
)iso
xazo
leA
Acd
s2
Ia[0
,1,0
](6
.37)
1.00
a,b
JUN
QIS
4-ca
rbox
amid
o-1-
cuba
neca
rbox
ylic
acid
AA
cds
2Ia
[0,1
,0]
(7.1
3)1.
50c
TA
DR
UM
2,2′
-dia
min
o-4,
4′-b
i-1,
3-th
iazo
lium
fum
arat
eA
B(A
B)
cds
2Ia
[1,0
,0]
(5.2
8)1.
50a
TA
PZO
A2-
amin
oeth
ene-
1,1,
2-tr
icar
boni
trile
AA
cds
2Ia
[0,1
,0]
(5.7
5)1.
00c
WA
KFO
Ete
reph
thal
ate
bis
dim
ethy
lam
mon
ium
AB
(A)
cds
2Ia
[1,0
,0]
(9.6
4)1.
00W
OV
VU
Yp-
form
amid
oben
zoic
acid
AA
cds
2Ia
[0,1
,0]
(3.8
6)1.
00a
BU
XR
IV2,
7-di
met
hyltr
icyc
lo[4
.3.1
.13,8
]und
ecan
e-sy
n-2,
syn-
7-di
ol-
eigh
tdi
ffer
ent
clat
hrat
es:
BU
XR
IV10
,L
OR
QO
Y,
LO
RQ
UE
,PO
LFI
F,Q
UL
KO
X,
QU
LL
AK
,V
USY
EN
AA
gis
2II
ai
1.00
III,
lvt
WO
YL
EB
2,7-
dim
ethy
l-9-
thia
tric
yclo
[4.3
.1.1
3,8
]und
ecan
e-an
ti-2
,ant
i-7-
diol
AA
gis
2II
ai
1.00
III,
lvt
NU
GN
IMan
ti-2
,2′-b
i(tr
icyc
lo[3
.3.0
.03,7
]oct
ylid
ene)
-4,4
′-dio
lA
Agi
s2
Ia[0
,0,1
](6
.13)
1.00
III,
lvt,
a,b
CA
LV
AM
acet
amid
ine
AA
gis
2Ia
[0,0
,1]
(5.7
0)1.
00II
I,lv
t,a
UD
AY
UT
023,
3′,5
,5′-t
etra
met
hyl-
4,4′
-bip
yraz
olyl
AA
lcv
6II
Ia[0
,0,1
](8
.60)
/c-g
lide
1.33
II,
srs
HU
XM
IW3,
3′,5
,5′-t
etra
met
hyl-
4,4′
-bip
yraz
olyl
tris
chlo
rofo
rmA
Alc
v2+
2II
a+II
ai
1.00
II,
srs
HU
XM
UI
3,3′
,5,5
′-tet
ram
ethy
l-4,
4′-b
ipyr
azol
ylm
etha
nol
(3:1
)A
B(A
)lc
v6
IIIa
[0,1
,0]
(9.6
4)/i
1.00
II,
srs
LU
VPU
N1,
6-di
hydr
oxyd
odec
amet
hylh
exas
ilane
AA
lvt
3Ia
[0,0
,1]
(29.
54)
1.00
III,
dia,
aB
OL
NO
F3,
3′-(
ethy
lene
di-i
min
o)-b
is(3
-met
hyl-
2-bu
tano
neox
ime)
AA
lvt
2Ia
[0,0
,1]
(6.2
7)1.
00a
CE
YSO
O3,
3′-(
trim
ethy
lene
di-i
min
o)-b
is(3
-met
hyl-
2-bu
tano
neox
ime)
AA
lvt
2II
ac-
glid
e1.
00a,
bFA
XH
OB
012,
3-bu
tane
dion
edi
hydr
azon
eA
Alv
t2
Ia[0
,0,1
](4
.11)
1.00
a,b
HE
KW
UP
6-am
ino-
1,3-
dim
ethy
l-5-
hydr
oxyi
min
omet
hyl-
2,4(
1H,3
H)-
pyri
mid
ined
ione
AA
lvt
2II
ai
1.00
a,b
ICE
RA
K11
,23-
di-t
-but
yl-3
,7,1
5,19
-tet
ra-a
zatr
icyc
lo(1
9.3.
1.19
,13)
hexa
cosa
-1(2
5),9
(26)
,10,
12,2
1,23
-hex
aene
-2,8
,14,
20-t
etra
one
AA
lvt
2Ia
[0,0
,1]
(13.
68)
1.00
a,b
MIZ
RIW
5,11
,17,
23-t
etra
-t-b
utyl
-25,
27-d
ihyd
roxy
-26,
28-b
is(3
-hy
drox
yben
zoyl
oxy)
calix
[4]a
rene
AA
lvt
2II
ai
1.00
a
TA
KFE
Rtr
ans-
2,8-
dihy
drox
y-2,
4,4,
6,6,
8,10
,10,
12,1
2-de
cam
ethy
l-5,
11-
dica
rbac
yclo
hexa
silo
xane
(-C
H2-
)A
Alv
t2
Ia[0
,0,1
](9
.85)
1.00
III,
dia,
a
TA
KFU
Htr
ans-
2,8-
dihy
drox
y-2,
4,4,
6,6,
8,10
,10,
12,1
2-de
cam
ethy
l-5-
carb
acyc
lohe
xasi
loxa
ne(-
O-)
AA
lvt
2Ia
[0,0
,1]
(11.
36)
1.00
III,
dia,
a
522 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
Tab
le1.
Con
tinu
ed
RE
FCO
DE
nam
ety
pe(n
ode)
net
Zcl
ass
sym
met
ryH
BR
Ino
te
VA
TPA
Iac
etyl
acet
one
diox
ime
AA
lvt
2Ia
[0,0
,1]
(5.9
8)1.
00IV
,dia
,a,b
WE
QSU
G(-
)-ph
enyl
ahis
tinA
Alv
t2
Ia[0
,0,1
](8
.31)
1.00
a,b
KA
PVIH
2,2′
′,6,6
′′-te
tram
ethy
l-4,
4′′-t
erph
enyl
diol
AA
nbo
4Ia
[0,0
,1]
(10.
01)
1.00
V,
pcu
BA
SVU
M01
diet
hyl
2,5-
diam
inot
erep
htha
late
AA
nbo
2Ia
[0,0
,1]
(6.9
4)1.
00a
HIK
NO
E1,
4-bi
s(hy
drox
ymet
hyl)
cuba
neA
Anb
o2
Ia[0
,0,1
](5
.73)
1.00
V,
pcu,
a,b
HY
QU
IN05
-hy
droq
uino
ne-
eigh
tdi
ffer
ent
clat
hrat
esB
ICZ
IX,
BU
SPA
G,
HQ
UA
CN
/01,
HY
QH
CL
/01,
JAM
KE
N,
QU
OL
SO/0
1,Z
ZZ
VL
G01
,Z
ZZ
VL
I01
AA
nbo
2Ia
[0,0
,1]
(5.4
7)1.
00V
,pc
u
LE
BK
UZ
2,2′
-dim
ethy
l-4,
4′-b
iimid
azol
eA
Anb
o2
Ia[0
,0,1
](5
.00)
1.00
VI,
pcu,
aR
ASB
OD
[2-h
ydro
xyph
enyl
)-(3
,5-d
ihyd
roxy
phen
yl)m
etha
ne]
bis(
4,4′
-bip
yrid
ine)
AB
(A)
neb
8II
Ia[0
,0,1
](1
5.76
)/i
1.00
cJU
KV
OA
benf
otia
min
eA
Ane
b2
Ia[0
,0,1
](1
4.43
)1.
50I,
lig,
aM
IGR
ID1,
3,5-
tris
(4-h
ydro
xyph
enyl
)ben
zene
AA
neb
2II
ai
1.25
aH
AG
PUA
1,2-
bis(
3,4-
dim
etho
xyph
enyl
)-1,
2-et
hane
diol
AA
qtz
2Ia
[0,0
,1]
(9.6
6)1.
00a,
bIT
UX
IE4-
hydr
oxyb
enza
ldeh
yde
(4-n
itrop
heny
l)hy
draz
one
AA
sqc1
872
IIa
i1.
50a
TA
GU
DN
/01
1,2,
3-tr
iam
ino-
guan
idin
ium
nitr
ate
AB
(AB
)sr
a2
Ia[1
,0,0
](8
.39)
1.00
aD
ASD
IL1,
10-d
ihyd
roxy
bicy
clo(
8.8.
8)he
xaco
sane
.A
Auo
c1+
1he
tero
inte
rpen
etra
tion
1.00
III,
dia,
a,b
CA
XR
OI
17R
-phe
nyl-
andr
ost-
5-en
e-3
,17
-dio
lA
Auo
c3
Ia[0
,0,1
](1
2.49
)1.
00II
I,di
a,a,
b5-
conn
ecte
dne
tsD
OV
SUC
prot
osap
pani
nA
AA
bnn
2II
a2-
scre
w1.
20a
DA
CY
EL
3,5-
diam
ino-
2,4,
6-tr
initr
oben
zoic
acid
AA
nov
2Ia
[1,0
,0]
(7.2
5)1.
20I,
bcu,
aM
UR
QO
FC
-met
hylc
alix
[4]r
esor
cina
rene
bis(
4-py
ridy
lmet
hylid
yne)
hydr
azin
e1:
2A
B(A
)sq
p3
Ia[1
,0,0
](1
3.81
)1.
786-
conn
ecte
dne
tsM
EQ
QU
U2,
4-di
hydr
ogen
cis,
tran
s,ci
s,tr
ans-
1,2,
3,4-
cycl
obut
anet
etra
carb
oxyl
ate
bis(
imid
azol
ium
)A
B(A
)pc
u2
IIa
2-sc
rew
1.20
I,a,
b
PIC
TIE
3′-d
eoxy
sang
ivam
ycin
AA
pcu
2Ia
[0,0
,1]
(5.0
8)1.
00a,
bQ
IFQ
IFN
-(ca
rbam
oylm
ethy
l)im
inod
iace
ticac
idA
Apc
u2
IIa
i1.
00a
UJO
FEE
tetr
akis
(4-h
ydro
xyph
enyl
)met
hane
AA
pcu
2II
ai
1.00
UJO
FII
tetr
akis
(4-h
ydro
xyph
enyl
)sila
neA
Apc
u2
IIa
i1.
00c
WU
QY
OW
3,3,
9,9-
tetr
akis
(4-(
2,6-
diam
inot
riaz
en-4
-yl)
benz
yl)-
2,4,
8,10
-tet
raox
ospi
ro[5
.5]u
ndec
ane,
two
diff
eren
tcl
athr
ates
WU
CY
UC
AA
bp1
2II
ai
2.67
I,c
8-co
nnec
ted
nets
BA
WJU
F5,
10,1
5,20
-tet
raki
s(4-
((N
-n-b
utyl
carb
amoy
l)m
etho
xy)p
heny
l)po
rphy
rin
AA
bcu
2II
ai
1.00
a,b
mix
edco
nnec
tivi
tyne
tsU
LA
WE
Jm
alon
icac
idbi
s(is
onic
otin
amid
e)A
B(A
B)
dmd
3Ia
[0,0
,1]
(15.
68)
1.20
I,pt
s,a
APY
RD
N4-
amin
opyr
idin
hem
iper
chlo
rate
AB
C(A
BC
)bp
52
Ia[1
,0,0
](1
1.22
)1.
10N
-H-N
,sr
a,a
APY
RD
N01
4-am
inop
yrid
inhe
mip
erch
lora
teA
BC
(AB
C)
bp4
2II
ai
1.00
N-H
-N,
lon,
aV
AK
VIN
hydr
oqui
none
bis(
ison
icot
inam
ide)
AB
(AB
)bp
23
Ia[0
,1,0
](5
.41)
1.20
I,cd
s,a
TIP
WIY
/01
urea
E-b
uten
edio
icac
id(2
:1)
AB
(AB
)bp
22
Ia[1
,0,0
](5
.54
Å)
1.60
I,a
VE
JXA
J/01
urea
buta
nedi
oic
acid
(2:1
)A
B(A
B)
bp2
2Ia
[1,0
,0]
(5.6
4Å
)1.
60I,
aX
OM
POE
guan
idin
ium
hydr
ogen
mon
ofluo
roph
osph
ate
AB
(AB
)dm
c2
Ia[1
,0,0
](6
.78)
1.43
I,rt
f,a
JOZ
ZE
Dad
enin
ehy
drog
enpe
roxi
de(1
:1)
AB
(AB
)bp
33
Ia[1
/2,1
/2,0
](6
.97
Å)
1.43
I,ne
w(3
,6)-
c,a
CU
TY
EV
4,4′
-bip
heno
lbi
s(4,
4′-b
iphe
nola
te)
mes
o-5,
5,7,
12,1
2,14
-hex
amet
hyl-
1,4,
8,11
-tet
ra-a
zacy
clot
etra
deca
neA
BC
(AB
)tf
c3
Ia[1
,0,0
](9
.96)
1.00
HIB
DE
D/0
1gu
anid
iniu
m4-
carb
oxyb
enze
nesu
lfon
ate
AB
(AB
)gr
a2
IIa
i1.
50I,
aE
TIG
AP
guan
idin
ium
4-hy
drox
y-3-
carb
oxyb
enze
nesu
lfon
ate
AB
(AB
)hm
s2
IIa
1.50
I,a
TA
PIPZ
N,N
,N′,N
′-tet
ra-a
min
o-pi
pera
zind
iium
bis
azid
eA
B(A
B)
rtl
2Ia
[1,0
,0]
(6.4
1)1.
00a
TIJ
KO
M(4
,4′-b
ipyr
idin
e)3(
2,3,
5,6-
tetr
ahyd
roxy
-1,4
-ben
zoqu
inon
e)2
AB
(AB
)fs
c3
Ia[1
,0,0
](8
.89)
1.00
aFo
rth
eco
lum
n“n
ote”
see
text
.T
here
fere
nces
for
the
RE
FCO
DE
are
liste
din
alph
abet
ical
orde
rfr
omnu
mbe
r25
for
AG
LU
AM
10to
num
ber
181
for
ZZ
ZV
LI0
1.
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 523
ing 3D arrays. These species are reported in CSD with a greaternumber of entries since different Refcodes are attributed in CSDto multiple crystal structure determinations (e.g., NTRTAC,NTRTAC01) or to compounds that contain different guestsolvents but give the same supramolecular architecture, that is,the same topology (e.g., XUVBAR, XUVBIZ).
The columns of Table 1, besides the Refcode and the chemicalformula, report the following information:
(a) TYPE (NODE): AA (homomolecular), AB, or ABC areused for one, two, or three different building units that contributeto the networks (solvent molecules are not included); note,however, that these symbols do not give the actual ratio of thecomponents. Homomolecular species with crystallographicallydifferent molecules are classified AA. The networks nodes, whennecessary, are also specified; that is, for TYPE AB we can haveas nodes only molecules A or both A and B: in the formersituation the TYPE (NODE) indication is AB(A), while in thelater one we give AB(AB). Moreover, note that a molecule, inprinciple, can work both as a node and as a spacer (2 connectingnode) depending on the number and directionality of thehydrogen bonds.
(b) TOPOLOGY: we give the three-letter symbol of the netproposed by O’Keeffe8 as can be retrieved from RCSR database(Reticular Chemistry Structure Resource, http://rcsr.anu.edu.au/).Seven nets found here are not listed in RCSR, but one (sqc187)was found in EPINET database (Euclidean Patterns in Non-Euclidean Tilings, http://epinet.anu.edu.au/, names starting withsqc)9 and another (cds-3-Pnna) in the recent list produced byBlatov.10 Five nets are new, and we propose as names bp1,bp2, bp3, bp4, bp5. For the nomenclature and recognition ofnew nets we follow the lines in refs 1e and 5. The correspondingSchläfli Symbol before the three-letter symbol11 is also reportedthroughout the text and in the schemes showing the molecularbuilding blocks (see later). In some cases for more detaileddescription of the net topology we use other topological indicessuch as Coordination Sequences and Vertex Symbols.1e,5
(c) Z/CLASS/SYMMETRY: the degree of interpenetrationZ and the interpenetration Class2d,e are reported. The columnSYMMETRY gives the interpenetration vectors (Å) and/or thesymmetry operations that relate equivalent interpenetrating nets.
(d) HBRI (H-Bond Ratio Index): this parameter gives theratio (no. of total effective hydrogen bonds per asymmetric unit/no. of theoretical single bonds required by connectivities of thenodes). The following equation can be used:
HBRI ) [2(Ntot/Z') - HBS]/(Σ Con Nodes)
with Ntot ) total number of intermolecular hydrogen bonds inthe crystallographic unit cell; Z′ (corrected Z) ) number ofeffective repeated units (whole molecules) in the cell takinginto account the possible special positions; HBS ) number ofhydrogen bonds connecting the independent spacers (if any) tothe nodes; Σ Con Nodes ) sum of the connectivities of all theindependent nodes. A more direct evaluation can be performedby simple inspection of the molecular drawings reported in theschemes (see below). HBRI depends on the choice of the nodesand could be considered as an indication of the stability of theframework; that is, values >1 reveal the presence of multiplehydrogen-bond bridges joining the building blocks. Simpleconsiderations for type AA nets, first introduced many yearsago,12 based on the balance of the number of hydrogen-bonddonor and acceptor groups in the building block show that onlywith even net connectivities we can have an exact match andHBRI ) 1, while with odd connectivities the value of HBRImust be >1. This seems also to indicate that in type AA nets
the odd connectivities, due to the possibility of facing the above-mentioned mismatch in the balance, are less likely to occur (seebelow) because the molecular structure is not always such toform stable cyclic synthons or multiple hydrogen-bond bridges.
(e) The NOTE column gives some extra information. Thepresence of a certain supramolecular “ring synthons” is reportedgiving the numbers from Scheme 1 (I–IX) and Figure 6 (X).When a certain “ring synthon” gives rise to a “ring synthonnet” the different topology is also indicated. With “ring synthonnet” we mean that the nodes of the alternative net are locatedat the center of the group of molecules (tectons) linked in thesupramolecular synthon and the edges of the alternative netcorrespond to tectons (see below Figures 6 and 7). Thisdemonstrates the unavoidable arbitrariness that, considering alsothe subjective choice of the Ω lower limit, is involved in thetopology assignment of hydrogen-bonded organic nets. Note,however, that the topologies of the “standard” net and thecorresponding “ring synthon net” are rigorously interrelated(vide infra).13a Further information is labeled as follows: (a) ifthe interpenetration was not recognized in the original paper(87 cases), (b) if 3D hydrogen-bonded nets were not detected(30 cases), (c) if connectivity and/or topology of the net werewrongly assigned, and/or some hydrogen-bonds were missed(seven cases).
The topology distribution and the most frequently observednets are shown in Figures 2 and 3. An evident difference fromvalence-bonded interpenetrating MOFs and from interpenetratinginorganic networks is that the main part of topologies are relatedto 4-c nets (ca. 68%), while 3-c (ca. 13%) and 6-c (5%) onesare rather rare. The rarity of 3-c nets can be considered inrelation to the point quoted above (discussion on HBRI and onodd and even connectivities).12 The analysis of more than 20003D hydrogen-bonded homomolecular single nets in CSD13a,b
is in very good agreement with the expected trend; that is, theeven connectivities are largely dominant over the odd ones. Atthe same time, in the single nets high even connectivities (6-cor 8-c nets) are very frequent, a fact that can be related to thetendency to form a molecular close packing (see Figure 2 bottomand Figure 4 top). The different distribution of the topologiesreported in Figure 2 with respect to other interpenetrating 3Dsystems is confirmed by the fact that diamondoid nets, the mostnumerous nets, are only 31.1% (vs. 42–44% in interpenetratedMOFs and inorganic networks).14
It may be surprising to some readers that the total number ofinterpenetrated nets is so small. Preliminary results reported inFigure 4 (bottom) show that the interpenetrated 3D nets are onlya small fraction of all 3D nets; further, the incidence ofinterpenetration in hydrogen-bonded nets is 10 times smallerthan that for valence bonded ones (MOFs). This striking resultis in contrast to the fact that infinite hydrogen-bonded nets are
Scheme 1
524 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
three times more frequent than MOFs: hydrogen-bond interac-tions more often form infinite motifs. It follows that it is easierto observe subnets that are cross-linked (hence destroyinginterpenetration) by such interactions giving a unique 3D netwith high connectivity (>6, see Figure 4 top).
Observing the other parameters we note that for the largemajority of the nets the value of the degree of interpenetrationis Z ) 2 (see Figure 5) and the classes of interpenetration areeither Ia or IIa. There are few exceptions: in particular we mustmention the case of the 103-srs net SAYMUB01, that has Z )18, by far the highest value ever found, and belongs to the rareClass IIIb.15 Other noteworthy species are XEBTIH, 66-dia withZ ) 11 and few net arrays belonging to the uncommon ClassIIIa: RASBOD, 66-neb, Z ) 8, HUXMUI and UDAYUT02,32.104-lcv, Z ) 6, BEQVUO, 65.8-cds, Z ) 4, JUTGOU andQUSMEW, 66-dia, Z ) 4.
The values of HBRI are in many cases >1, as discussedabove, showing that in hydrogen-bonded systems especially oftype AA, the single molecules tend to use all the possiblehydrogen bonds, according to the Donohue and Etter rules.16
In the following discussion, we will present the differenttopologies using various Schemes that show groups of structuresin order of increasing connectivity. As already mentioned, foreach Refcode we have also searched in the CSD for relatedstructures differing only in some ‘minor’ structural details
considered not influent on the hydrogen-bond patterns (i.e., adifferent halogen atom, a different -R similar substituent groupand so on). This was accomplished with the aim of possiblyfinding, by comparing the structures, elements useful for theirrationalization and for the crystal engineering of thesearchitectures.
Hydrogen-Bonds and Network Topologies. We have foundinterpenetrating nets mainly possessing common topologies(Figure 3). Nevertheless we have also observed some cases withquite rare topologies and discovered a few examples ofcompletely new ones.
3-c nets. Three-connected nets (only 16 cases) possess manydifferent topologies (see Table 1 and Scheme 2). Four nets oftype AA have the 4.142-dia-f topology using the molecularnodes, but all give 4-c nets of the 42.84-lvt topology withmolecular dimer nodes (ring synthon I). The most interestingis IBUXIN, which is 6-fold interpenetrated while the other three(AHEGOJ, IQAFEL, QECNAN) are only 2-fold interpenetrated.The authors gave a different description of IBUXIN taking intoaccount an intermolecular C-H · · ·O interaction but neglectingan N-H · · ·O one. By including these C-H · · ·O contacts also,a unique single 5-c net with a new topology is produced.
Drastic effects on the net topology are produced by the changeof a substituent in the molecular tecton, though the same localhydrogen-bond pattern (i.e., the system of hydrogen-bondsformed by a molecule) is maintained. This is the case ofQECNAN: by replacement of the phenyl group with a methylone we have the species NUJQOY with the same hydrogenbonds but exhibiting a 2D 3-c net, with the 63-hcb honeycombtopology here as brick-wall. Moreover, in KANVUR, a 2-fold6.102-pcu-h net (or a 64.82-nbo net considering dimer nodes),the substitution of the n-hexyl side chain by an i-propyl groupresults in KANWAY, which contains 1D polymers.
Figure 2. (top) Distribution of the net topologies within the 122structures; (bottom) distribution of the connectivity of the nodes (n-c).The table shows the occurrence for nets assembled by a single (TypeAA) or by different (Type AB) building blocks.
Figure 3. The most frequently observed nets (see also Figure 2).
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 525
The two well-known 3-c 103 topologies (103-srs and 103-ths) are present with four and two cases, respectively. Moreover,a novel 103 topology has been discovered in the 3-foldinterpenetrated KAPFIR (103-cds-3-Pnna; Vertex Symbol[10.10.103]). This new net has been found in a recent searchfor net relations by Blatov;10 it is interesting to note that thereare 27 known uniform nets with the Short Symbol 103 and 15have the same Vertex Symbol [10.10.103].
The 103-srs nets include the world record of interpenetration:the exceptional 18-fold SAYMUB01. Since the nets of thistopology are chiral it is of interest to establish the presence of
enantiomeric pairs. As we have previously suggested,2d in thepresence of such pairs the interpenetration class cannot be simplytranslational (Class I). Indeed SAYMUB01 contains nineenantiomeric pairs, ADENSL and NUZKAU 1 pair, whileTIPKIM contains two homochiral networks. In the latter casechoosing dimers (ring synthon X, see Figure 6) gives rise totwo translationally equivalent interpenetrating diamond nets.Indeed, the relationship between 66-dia and 103-srs nets is rathercommon for homomolecular hydrogen-bonded frameworks, asrecently found by Baburin and Blatov.14 The vertices of thediamond net occupy one-third of the edge centers in the 103-srs net (Figure 6).
Diamondoid Nets 66-dia. These networks are the mostnumerous ones also in hydrogen-bonded interpenetrated systems(38 cases), though their % distribution is lower than expected(see above). They show an interpenetration degree Z rangingfrom 2 to 11. With Z > 2 (17 cases illustrated in Scheme 3),the interpenetration is generated by pure translational symmetry(Class Ia) in all but two cases (JUTGOU and QUSMEW, Z )4, Class IIIa). In the 2-fold interpenetrated net arrays, Class Ia(10 cases) and Class IIa (11 cases) are almost equally populated.Noncentrosymmetric space groups are observed in 13 cases, aresult that can be of interest toward the achievement of acentriccrystal structures with promising NLO properties, as appearedin recent years.
The diamondoid net array with the highest interpenetrationdegree Z (11-fold, the current world record for 66-dia) isXEBTIH, a species that has been properly engineered usingtetrahedral nodes and linear spacers in the ratio 1:2. Ininterpenetrated MOFs the current upper limit is rep-resented by the 10-fold 66-dia network XISXAY,[Ag(dodecanedinitrile)2](NO3). Note that all the diamondoid netsof Class Ia show normal mode1a,2a,b of interpenetration exceptthe four cases with Z ) 5 (GEJVEW, JADMAD, XUVBAR,XUVBEV) and one with Z ) 8 (the silane analogous ofVOJFAB).
Wuest and co-workers have reported that tetrakis[4-(6-oxopyrid-2-yl)ethynylphenyl]methane gives hydrogen-bondedframeworks containing carboxylic acids as guests. The bis(bu-tyric acid) clathrate VOJFAB contains disordered guest mol-ecules and is a 7-fold diamondoid net array. Note that theanalogous silane species (not reported in CSD) is 8-foldinterpenetrated (but non-normal,1a,2a,b that is, not along one ofthe 2-fold axes of the adamantane cage). The related speciesVOJFEF contains propionic acid guest molecules, which formdirect hydrogen-bonds with the tecton thus preventing thepossibility of an extended hydrogen-bonded network.
It is worth mentioning the case of QUSMEW (a cyclictetracarboxylic acid monohydrate, 4-fold 66-dia, Class IIIa). Wehave decided to not include guest water molecules in ourtopological analysis since they are often disordered or not wellrefined, but in this species the water molecules interestingly jointhe 66-dia nets in pairs, thus resulting in a completely differentdescription of the supramolecular array, that is, a 2-fold ClassIIa interpenetrated 6-c net array with the 48.67-msw topology(see below the 6-c WUQYOW).
The substitution in TERRUD (N-acetyl-L-glutamic acid,3-fold 66-dia) of a -COOH group by a -CONH2 one gives aspecies (AGLUAM10), which has the possibility of an additionalNH · · ·OdC hydrogen bond; neglecting this rather long newcontact the net array remains 3-fold 66-dia, while taking it intoaccount a unique single 6-c new net (44.611) results, with a lowerHBRI of 8/6.
Figure 4. (top) Distribution by the node connectivity of single 3Dhomonuclear hydrogen-bonded nets from refs 13a and 13b. (bottom)Occurrence of infinite nets in MOFs and hydrogen-bonded frameworksdivided by dimensionality.
Figure 5. Distribution of the degree of interpenetration Z (n-f). Thetable shows the occurrence for dia nets and for the remainder.
526 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
The structure of (+)-pinoresinol contains a 3-fold 66-dia array(FAFXUF). It was interesting to analyze also the structure ofthe racemic form NELRUR that exhibits a different localhydrogen-bond pattern producing a system of square layers of44-sql topology. The molecular units are, in this case, flatter.Nitrilotriacetic acid (NTRTAC) is the second oldest exampleof recognized interpenetration (1967) but missing one subnet;it was classified as 2-fold instead of 3-fold. The oldest example(1947) is 2-fold -quinol QUOLSO (vide infra).
A number of 2-fold interpenetrated 66-dia net arrays showinteresting features (see Scheme 4); some of them are discussed
here, which change their topology by replacement of substituentsnot directly involved in the hydrogen-bond pattern.
In FEWSAC the substitution of the two methyl groups bychlorine atoms leads to FEWRUV, exhibiting a different localhydrogen-bond pattern that contains a highly distorted single65.8-cds network.
The modification of the side chain -CH2-COOH in TAQXAL(2-fold 66-dia) has drastic effects: with a -CH2-CH2-COOHelongated side chain (BIYRIK) the hydrogen-bond patternchanges, and the array results in 63-hcb layers (HBRI ) 4/3).With a -CH2-CH2-CONH2 chain (CIRYUK) we obtain again44-sql (HBRI ) 6/4), while with a -CH2-CH2-OH chain(DEFXOB) a 1D polymer is observed.
Other 4-c nets. Many important 4-c nets, different fromdiamondoid nets, are observed. Collectively, their number iscomparable with that of diamondoid nets (45 vs. 38 nets). Wehave the following net topologies: 14 of 65.8-cds, 11 of 42.84-lvt, 5 of 64.82-nbo, 4 of 43.62.8-gis, 3 of 32.104-lcv, 3 of 66-neb and 5 other nets with less common topologies. Curiously,some 4-c nets rather usual in other families of compounds, suchas 42.84-pts, are here lacking.2d
The numerous group of 65.8-cds nets (Scheme 5) shows amaximum Z value of 4 (BEQVUO, Class IIIa). The structureof 1,3-diamino-2,4,6-trinitrobenzene (DATNBZ) reveals a 2-fold65.8-cds net array that remains unchanged also in the isomorphic5-fluoro substituted species (BEWYOR). The high packingefficiency and crystal density observed for these compounds(and for related polynitro-organic compounds) were generallyascribed to efficient intermolecular packing arrangements, which
Scheme 2
Figure 6. Relationship between 66-dia (red) and 103-srs (blue) netsvia ring synthon X observed in TIPKIM.
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 527
limit the amount of free space in the unit cells, while thepossibility of interpenetration to fill voids was previously notconsidered.
The interesting species 4-carboxamido-1-cubanecarboxylicacid (JUNQIS) gives a 2-fold 65.8-cds net array (erroneouslyclassified by the authors as 64.82-nbo). Its bis(carboxamide)derivative (HIDTET) uses all its hydrogen-bond functionalities,so that each building block is linked to six other moleculesresulting in a novel single 6-c net of topology (44.610.8). The2-fold net observed for 2-aminoethene-1,1,2-tricarbonitrile(TAPZOA) was wrongly described as (non-“standard”) 103-ths, while following their proposed simplification it is 103-utp.
The structures of a series of p-alkylamido-substituted per-benzoic acids well illustrate the effects of the lengthening ofan alkyl side chain: p-acetamidoperbenzoic acid (ZUHHIT) andp-propanamidoperbenzoic acid (ZUHHOZ) give 3-fold 65.8-cds net arrays, but longer side chains (ZUHHUF, butanamido,and ZUHJAN, pentanamido) give simple almost flat 2D 44-sql.
Another numerous group of interpenetrated net arrays exhibitsthe 42.84-lvt topology (see Scheme 6). The lengthening of themolecular chain on passing from BOLNOF, 3,3′-(ethylenedi-imino)-bis(3-methyl-2-butanone oxime), to CEYSOO, 3,3′-(trimethylenedi-imino)-bis(3-methyl-2-butanone oxime), doesnot alter the topology and Z (both are 2-fold 42.84-lvt), but onlythe Class, from Ia to IIa.
A number of biimidazole and bipyrazole derivatives havebeen investigated because of their interesting hydrogen-bondedarchitectures (Scheme 6) that can be topologically described indifferent manners. While the parent 4,4′-biimidazole givessimple 2D 44-sql (KAMBEG) the methyl species 2,2′-dimethyl-4,4′-biimidazole (LEBKUZ) is a 2-fold interpenetrated 64.82-
nbo array and the ethyl species 2,2′-diethyl-4,4′-biimidazole(LEBLAG) forms a single 3D 65.8-cds net. In spite of thedifferent topologies, therefore, the “square-planar” local geom-etry of the nodes is always maintained. On choosing as analternative node the ring synthon VI in LEBKUZ, a 2-fold412.63-pcu net array is generated. Moreover, also the individual5-membered rings of the molecule can also be selected as 3-cnodes leading to the 6.102-pcu-h (LEBKUZ) and 103-ths(LEBLAG) topologies, respectively.
Also, the structure of the parent 4,4′-bipyrazole (UDAYIH)contains 2D 44-sql. The derivative 3,3′,5,5′-tetramethyl-4,4′-bipyrazole is known in many fascinating forms, with or withoutclathrate molecules. There are three polymorphs of the guest-free species (UDAYUT, UDAYUT01, UDAYUT02) exhibitingdifferent 3D networks, which are discussed later. Moreover, thetris(chloroform) clathrate (HUXMIW) is exceptional becauseit is a 4-fold interpenetrated 32.104-lcv array consisting of twononequivalent pairs of net arrays (2 + 2 interpenetration, ClassIIa + IIa). The methanol solvate species (HUXMUI) is of typeAB since the methanol molecules (3:1 ligand/methanol) areincluded in the network as spacers: the resulting system showsagain the 32.104-lcv topology but is 6-fold interpenetrated (ClassIIIa).
One of the older examples of well-characterized interpen-etrated supramolecular assemblies via hydrogen-bond bridgeswas the family of rhombohedral -quinol clathrates, all exhibit-ing the same structural type (see Figure 7). Also the guest freeform (HYQUIN05) was claimed to possess this structure, whichwe have classified as 2-fold 64.82-nbo, using as nodes the wholemolecules (the “standard” topology). However, here we have aclassical case of possible alternative topological descriptions,that can seem more natural: assuming the hexagonal synthons
Scheme 3
528 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
V as nodes we obtain the 412.63-pcu topology, or, otherwise, a3-c 6.102-pcu-h topology (pcu decorated by hexagons) can beenvisaged using as nodes the -OH groups. Quinol, moreover,gives also the R- and γ-forms that are considered later.
A series of structural investigations were devoted to thecharacterization of supramolecular arrays based on 2,7-dimethyltricyclo[4.3.1.13,8]undecane-syn-2,syn-7-diol and relatedspecies. These analyses are of great interest in the context of
Scheme 4
Scheme 5
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 529
crystal engineering: topological framework changes are observedupon variation of the clathrates and/or substituents.
The clathrates show three different structural situations:(a) 2-fold interpenetrated 43.62.8-gis net array in BUXRIV/
BUXRIV10[(diol).benzene],LORQUE[(diol)4.CH3CN],LORQOY[(diol).CH2Cl2], POLFIF [(diol)4.CS2], QULKOX
[(diol)4.cyclohexane], QULLAK [(diol)4.CHCl3], VUSYEN[(diol)4.1,2-dichlorobenzene];
(b) single 64.82-qtz net in BUXREV/BUXREV10 [(diol).ethylacetate], EDOLOY [(diol).t-butylcyclohexane], EDOLUE [(di-ol).cyclohexane], PAPSII [(diol).CCl4], PAPSOO [(diol).1,3-dibromopropane], PAPSUU [(diol).o-xilene], POKVUG[(diol).dibromodifluoromethane], QULKUD [(diol)3.fluorocyc-lohexane], QULLEO [(diol)2.(CHCl3)], VUSYIR [(diol)3.1,2-dichlorobenzene];
(c) 2D 44-sql in EQOPOP [(diol).propionic acid], EQOPUV[(diol).acetic acid], EQOQAC [(diol). 2-propanol], HIBGII[(diol).p-chlorophenol], HIBGOO [(diol).p-methoxyphenol],HIBGUU [(diol).p-hydroxythiophenol].
Also the guest-free species (SODVUC) is comprised of 2D44-sql.
Group (c) differs from the other two in that the clathratemolecules use their -OH functionalities to form direct hydrogenbonds with the diols that seem to prevent the formation of 3Darchitectures. In group (a) the 2-fold interpenetration is ac-companied by a lower content of guest molecules with respectto group (b) single nets. For example, compare QULLAK (2-fold 43.62.8-gis) and QULLEO (single 64.82-qtz), both CHCl3
clathrates but exhibiting (without guests) free voids of 13 and26%, respectively, and a double amount of guests in the second
Scheme 6
Figure 7. On the left, the network observed in -quinol HYQUIN05showing the hexameric synthon V (Scheme I) that maps onto 412.63-pcu. On the right, the three possible descriptions of a single net of the2-fold -quinol: “standard” 64.82-nbo (green) with the whole moleculeas 4-c node, ring-synthon net 412.63-pcu (red) with the centres of thehexagonal synthon as 6-c nodes and 6.102-pcu-h (blue) when theoxygens of the -OH groups are considered as 3-c nodes.
530 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
one. A single gismondine network (43.62.8-gis) as observed inthe 2-fold interpenetrated acetamidine (CALVAM) is shownin Figure 8.
The structure of (+/-)1,2-bis(3,4-dimethoxyphenyl)-1,2-ethanediol (HAGPUA) shows the unique case of a chiral 2-foldinterpenetrated 64.82-qtz network. A drastic change is observedin the structure of the meso-form (TABJEL) that containshydrogen-bonded 1D chains.
The list of interpenetrated 4-c nets includes also someexamples of quite unusual topology of great interest (Scheme7). This is the case of 66-neb, a rather elusive topology thatcan be confused with 66-dia, first mentioned as ”net 9” byO’Keeffe and Brese17 during an enumeration of uninodal 4-cnets, and later observed and correctly described by Ermer andEling18 in examining the hydrogen-bonded single supertetra-hedral network of ethanolamine (JAKKEL).19 The comparisonof 66-dia and 66-neb is shown in Figure 9; both nets have thesame Schläfli Symbol 66 but different Vertex Symbols([62.62.62.62.62.62]-dia; [6.6.6.62.62.62]-neb) and CoordinationSequences that differs from the third term (4,12,24,42 · · ·dia;4,12,27,50 · · ·neb). The left column of Figure 9 shows a cutextracted from 66-dia, a double adamantane cage (14 carbonatoms), called diamantane or also congressane (D3d symmetry),while the right column illustrates the single cage of 66-neb. Thisis a hypothetical pentacyclotetradecane cage [66] named “iso-diamantane” (D2 symmetry) by Ermer and Eling;18 it forms thenatural tiling of 66-neb, while the 66-dia natural tiling isconstructed of single [64] adamantane units.8 We have foundhere three examples of interpenetrated nets with this topology(RASBOD, JUKVOA, MIGRID) that was previously not seenby the authors (or confused with 66-dia). RASBOD (Type AB)is particularly noteworthy in that it is 8-fold interpenetrated ofClass IIIa.
The unusual topology (42.84)-uoc is observed in two cases.DASDIL contains two interpenetrated nets of the same topologybut not symmetry related; that is, this is a rare case of (1 + 1)nonequivalent interpenetration.2e The molecule 17R-phenyl-androst-5-ene-3,17-diol (CAXROI) gives a 3-fold (42.84)-uoc net array, but the replacement of the phenyl with the benzylgroup results in HAVFOZ which forms 2D 44-sql.
Finally, compound 4-hydroxybenzaldehyde(4-nitrophenyl)-hydrazone (ITUXIE) crystallizes with two independent mol-
ecules, each of which is an independent node; the array is a2-fold binodal (65.8)(66)-sqc187 network.9 The same moleculewith 1,4-dioxane solvate (ITUXEA) gives 2D 63-hcb layersusing dioxane as spacer.
Higher Connectivities. Here we briefly discuss interpenetrat-ing networks with node connectivities >4, that is, in the range5–8. These nets are rare (only 10 cases, see Scheme 7 for 5-cand Scheme 8 for the remainder), a feature that is peculiar ofinterpenetrating hydrogen-bonded networks, different fromMOFs and inorganic frames where the 6-c primitive cubic412.63-pcu (R-Po) topology is the second one after 66-dia (17.3%in MOFs and 18.8% in inorganic nets).
There are five examples of 412.63-pcu net arrays, all 2-foldinterpenetrated. In the pair UJOFEE, tetrakis(4-hydroxyphenyl)-methane, and UJOFII, tetrakis(4-hydroxyphenyl)silane, the samearrays are observed, though they are not isomorphic. ForUJOFII, one hydrogen-bond interaction was missed by theauthors, with the consequence that the net was described as 4-cinstead of 6-c 412.63-pcu.
Wuest and co-workers have reported the structure of 3,3,9,9-tetrakis(4-(2,6-diaminotriazen-4-yl)benzyl)-2,4,8,10-tetraoxospiro[5.5]undecane (WUQYOW), which was incorrectlydescribed as an 8-fold 66-dia (that should belong to Class IIIa,4*2) because an important additional hydrogen-bond contactwas neglected. Including these interactions the network becomes6-c 2-fold interpenetrated of Class IIa and belongs to a new(48.67) topology that we name bp1. With all the hydrogen bondsthis compound is the one with the highest HBRI (of 16/6 )2.666). WUCYUC is a different clathrate, isomorphic withWUQYOW. The nature of (48.67)-bp1 has suggested to us thepossible existence of a whole new series of uninodal self-catenated 6-c nets derived from interpenetrated 66-dia nets: whenthe parent n-fold 66-dia net arrays are of Class Ia, by connectingthe 4-c nodes along the unique full interpenetration vector (FIV)we obtain single nets all having the same Schlafli Symbol (48.67)whichever the number of nets in the array (but topologicallydistinct by, e.g., Coordination Sequence). We can apply the sameprocedure to n-fold 66-dia net arrays of Class IIIa by connectingin this case the 4-c nodes along the translation interpenetrationvector (TIV). Again we obtain (48.67) 6-c nets but now the arrayis interpenetrated of Class IIa (retaining the original nontrans-lational symmetry operation). This is what observed for WU-QYOW [from 8-fold IIIa to 2-fold (48.67)-bp1] (see Figure 10)and for the previously mentioned QUSMEW [from 4-fold IIIato 2-fold (48.67)-msw, when the solvate water molecule isconsidered].
The highest connectivity is present in the unique 8-c 2-foldinterpenetrated species BAWJUF, which shows the (424.64)-bcu topology.
Mixed Nodes. Obviously, though not strictly necessarily,none of these species (13 cases) is of the type AA. Differentmolecular nodes, with different hydrogen-bonding requirements,favor the formation of mixed nodes networks. The most commonones are 3,4-c (see Scheme 9). It is noteworthy that four of thefive new nets are in this group and that the net (83)2(85.10)-bp2 has been recently observed as single net in a leadcoordination polymer.20
Hydrogen-Bonded Nets and Interpenetration. Our resultsmay provide new information for the rationalization of thephenomenon of interpenetration (class and degree) in networksbased on similar tectons and exhibiting the same topology.Different Z values (or, at least, different classes) could, inprinciple, be produced in type AA species by one (or more) ofthe following factors: (a) effects of different guests; (b) atom
Figure 8. On top the network observed in acetamidine (CALVAM)showing the three possible alternative description: 4-c “standard”topology (green), 4-c rhombic ring synthon (red) and 3-c when themolecule is considered as two 3-c nodes (blue). Below the three netsgis (green), lvt (red), and lvt-a (blue) derived from the alternativedescriptions.
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 531
or group substitution in the node leading to variated dimensionsof the tecton; (c) different length of side chains bearing thehydrogen-bond donors and/or acceptors.
Examination of the networks listed in Table 1 reveals some
interesting observations. The effect of changing the guestmolecules has some influence in the family of 2-fold 66-dianets assembled from 2,6-dimethylideneadamantane-1,3,5,7-tetracarboxylic acid (see Scheme 4). While Z remains the same,some (VOBFAT, VOBFEX, VOBFIB) belong to Class IIa, withthe two equivalent nets generated by an inversion center, others(VOBFOH, VOBFUN) belong to the same Class IIa but with a2-fold axis as symmetry operation, and one (VOBGAU) is ofClass Ia. On the other hand, guest substitution has differentconsequences in the family of 2-fold 66-dia networks INUJUW,INUKAD, and YINJOU: they represent a case of adaptiveporosity and contain the tecton tetrakis(1,2-dihydro-2-oxo-5-pyridyl)silane together with different carboxylic acids solvatesthat produce expansion/compression of the frames.21 All thenet arrays belong to Class Ia and the change of guests impliesa variation of the interpenetration vector (coincident with the ccrystallographic axis). Curiously, the related species YINJUA,with Sn instead of Si and containing clathrate valeric acid, formsa different hydrogen-bond pattern resulting in a 6-c single 412.63-pcu net.
Substitution of the central atom in the node of VOJFAB (Siin place of C) leads to a greater Z value (from 7 to 8), as alreadymentioned. At difference from this case in the pair of net arraysXUVBAR/XUVBEV the replacement of C by Si at the nodesdoes not influence the degree of interpenetration (both are 5-fold66-dia, Class Ia).
It is of interest in the context of crystal engineering tocompare the structure of -quinol (HYQUIN05, see above andFigures 1 and 7 and Scheme 6) with that of the related lineardiphenolic species 2,2′′ ,6,6′′ -tetramethyl-4,4′′ -terphenyldiol
Scheme 7
Figure 9. Two perpendicular views of the different cages made of 14nodes observed in the uniform nets 66-dia and 66-neb.
532 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
(KAPVIH). The two species share the same 64.82-nbo topology,but the increased length of the tecton in KAPVIH causes achange of the interpenetration degree from 2- to 4-fold (bothspecies are of Class Ia).
The effect of side chains lengthening on interpenetration hasbeen already observed in the pair BOLNOF/CEYSOO (seeabove and Scheme 6): both are 2-fold 42.84-lvt, but the Classpasses from Ia to IIa.
A major effect is observed in the pair methanetetracetic acid(GESTAZ) and methanetetrapropionic acid (JADMAD): bothare 66-dia Class Ia, but the former is 3-fold while the latter is5-fold interpenetrated.
On the other hand, no effects on interpenetration are observedon comparing the 2-fold 66-dia net arrays, Class Ia, of6-methylisocytosine-5-acetic acid (ZERMUE) and 6-methyl-isocytosine-5-propionic acid (ZERNEP), though they showsomewhat different local hydrogen-bond patterns (see Scheme4 bottom).
These observations show how difficult it is, given a certaintopology, to predict the extent of the phenomenon of interpen-etration, even when we compare two closely related species.
Hydrogen-Bonded Nets and Crystal Engineering. Crystalengineering concerns the structural control of the outcomingarchitectures from a certain planned self-assembly process.22
However the arrays of type AA obtained from the self-assemblyof organic molecules are difficult to control in their final result.A major control seems achievable when the deliberate buildingof type AB species (presumably nodes+spacers) is attemptedusing basic concepts that are the same for the construction ofMOFs and of hydrogen-bonded arrays. A suitable building blockof selected geometry is chosen as a node for a specific targetnetwork, together with proper spacer molecules to join the nodes.Unfortunately, this does not seem to be sufficient to obtain thetarget architecture. With type AA species, on the other hand,all the information on the resulting net should be embedded inthe structure of the tecton, but the passage from tecton to synthonand then to the overall net is still far from being wellunderstood.22 Conflicting factors for any strategy of this typeare the concurrent possible alternatives arising from polymor-phism and supramolecular isomerism (see below). Indeed, weprobably prefer to ignore that there is a large variety oftopologies associated with each selection of the (planned)building blocks, so that, for instance, we expect that tetrahedralnodes and linear spacers in the proper ratio should always resultin superdiamond networks. The occurrence of alternative nets(see above the case of the 66-neb topology) is therefore usuallyoverlooked. Factors orienting the topology of the assembly arepoorly investigated. Moreover, the ambiguity associated withthe possible control of the degree of interpenetration has alreadybeen described above. From the perspective of getting betterinsight we suggest that the unique possibility seems to inves-tigate in a systematic fashion the self-assembly processes uponvariation of the reaction conditions. At present we do not havetrue answers to questions like “why a certain topology?” and“why interpenetration?”
As to the geometry of the tecton in orienting the topology ofthe resulting networks we have already shown (see above) thatsmall changes in the molecule can have drastic topological
Scheme 8
Figure 10. The generation of the new 6-c (48.67)-bp1 net from 4-foldinterpenetrated 66-dia nets.
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 533
effects. Nevertheless, with a certain optimism, we can outlinehere some trends.
(a) We observe that the local geometry may be “foreseen”by considering the structure of molecules. Thus the mostfrequent 4-c topologies can be divided in two classes lookingat the local geometries at the node and comparing it with theones for the idealized nets: tetrahedral (66-dia, 43.62.8-gis, 66-neb) and rectangular (65.8-cds, 42.84-lvt, 64.82-nbo). Thus, in66-dia nets there are tetrahedral molecular centers, and in netswith rectangular coordination there are planar molecules (oftenwith conjugated π-electronic systems). We may expect with highprobability that molecules with a rectangular hydrogen-bondenvironment will give one of the three possible rectangular nets.
(b) Some relevance may be attributed to the fact that groupsof networks with the same “standard” topologies can also bedescribed in the same way using their “ring synthon nets”, asin the case of many molecular 42.84-lvt nets that contain 66-dia “ring synthons nets”. Note that the “standard” and “ringsynthon net” topologies are interrelated and match each other(Table 1); starting from the “standard” net one can anticipatepossible topologies of “ring synthon nets”.
(c) Another aspect that has been checked here concerns thesubstitution in a molecule of a bound group not directly involvedin hydrogen-bonding with a different one of similar volume;
the exchange is not expected to influence the net topology. Thisis true, for example, in the pair BUXRIV/WOYLEB byreplacement of a -CH2- moiety by a -S- atom (both net arraysare 2-fold 43.62.8-gis). On the other hand, in a family ofaminophenols (ENANIQ/ENAMAD) the effect of substitutionof a -CH2- group by an -S- atom shows a complete structuraltransformation from 2-fold 65.8-cds to a 2D 44-sql species.
Hydrogen-Bonded Nets, Polymorphism, and Supra-molecular Isomerism. In the self-assembly of hydrogen-bondedorganic supramolecular arrays and in the crystal engineeringstrategies for the construction of specific networks we arecontinuously faced with the phenomena of polymorphism andsupramolecular isomerism, that, together with the unpredictableevent of interpenetration or other types of entanglements,1,2 canrepresent obstacles to our planning ability.
Polymorphism appears when the same substance exhibitsdifferent crystal packing arrangements.23 Supramolecular isom-erism, on the other hand, concerns the possible existence ofmore than one network superstructure for the same molecularbuilding blocks; it has been introduced in the context ofcoordination polymers24 but applies as well to all other modularextended arrays. So, the former phenomenon deals with crystals,while the second one deals with networks and their topologies.
Scheme 9
534 Crystal Growth & Design, Vol. 8, No. 2, 2008 Baburin et al.
Polymorphs can be always described also as supramolecularisomers but not vice versa. Supramolecular isomerism can applytherefore to nets of the same composition but with differenttopologies because of different guests (solvates or pseudopoly-morphs). Moreover this phenomenon can include differentindependent isomeric nets that are found together in the samecrystal, as observed in some MOFs.24b,c
The analysis of polymorphism and supramolecular isomerismcan be carried out using the network topological approach, thatproduces an useful categorization and creates opportunities forsystematic structure–property studies.
We have examined for all the interpenetrated hydrogen-bonded nets the possible existence of polymorphs. The resultsare listed in Table 2. We can compare the polymorph structuresconsidering the changes in topology/node connectivity, as aconsequence of possible variations in the hydrogen-bondpatterns.
In the case of SAYNAI01/SAYNAI we pass from 3-foldinterpenetrated 82.10-lig to a single 103-ths net; both topologiesare 3-c and the local hydrogen-bond pattern remains almost thesame, forming a ring synthon I that is flat in the former specieswhile rather folded in the second one (“bowl shaped” accordingto the authors).
The three polymorphs of 3,3′,5,5′-tetramethyl-4,4′-bipyra-zolyl, UDAYUT01 (R form), UDAYUT ( form), and UD-AYUT02 (γ form), give networks with the same connectivity(4-c) but different topologies: single 65.8-cds, single 64.82-qtz,and 6-fold 32.104-lcv (see Figure 11), respectively. The mol-ecules form similar hydrogen bonds that result in “chainsynthons” in the two former cases while in UDAYUT02, ringsynthons II are present. The analysis of N-C-C-N torsionangles shows similar values in the R and noninterpenetratedforms but quite different in the γ one.
In the case of KAPVIH/KAPVIH01, we observe two 4-cnetworks: 4-fold 64.82-nbo in the former one vs 44-sql in thesecond one, that can be related to the formation of differentsynthons (ring synthon V and chain, respectively).
On the other hand, in the pair BASVUM01/BASVUM thedifferent topologies (2-fold 64.82-nbo vs. 44-sql) seem not tobe related to different hydrogen-bond patterns but rather to moresubtle factors, that is, to the relative orientations of adjacentmolecules, as discussed by the authors.
We have already discussed the structure of -quinol in theguest-free HYQUIN05 (2-fold 64.82-nbo). Two polymorphs (R,HYQUIN02, and γ, HYQUIN) are also known. However,
though all the three species are 4-c, the nets are different: thetopology of HYQUIN02 is a novel 3D trinodal net of topology(62.84)(62.84)(64.82) and HYQUIN gives 44-sql. Indeed, the samekind of hydrogen bonds are present but different synthons areformed in the three cases.
All the above examples are of type AA, but there are alsotwo cases of polymorphs that involve the assembly of differentmolecular building blocks. In the pair SAYMUB01/SAYMUB,of type AB (with only A nodes), both polymorphs are 3-c, but
Table 2. True Polymorphs of Interpenetrated Nets
Refcode topology C.P.a crystallization interconversion
SAYNAI01 ( tetragonal) lig 3-f Y from dichloromethane R interconverts to at 368.8 KSAYNAI (R orthorhombic) ths singleSAYMUB01 (orthorhombic) srs 18-f Y from DMSOSAYMUB (monoclinic) hcb 3-fUDAYUT02 (γ tetragonal) lcv 6-f hydrothermal conditionsUDAYUT01(R monoclinic) cds single N from hot waterUDAYUT ( hexagonal) qtz single from acetonitrileKAPVIH (compound 1a) nbo 4-f Y from ethyl acetateKAPVIH01 (compound 1b) sql layerBASVUM01(orange trigonal) nbo 2-f Y from ethyl acetate yellow interconverts to orange in the range
25–125 °CBASVUM (yellow monocl.) sql layerHYQUIN02 (R) 4-c trinodal N sublimation γ and spontaneously convert to RHYQUIN (γ) sql layer sublimation or rapid evaporation
at RT from ethyl etherHYQUIN05 () nbo 2-f n-octane (air free ethanol)APYRDN (R, RT) bp5 2-f N acetonitrile at RT phase transition at 290 KAPYRDN01 (, low T) bp4 2-f acetonitrile at 283 K
a C.P. ) concomitant polymorphs.
Figure 11. On top, the network observed in UDAYUT02 (γ form)and in the bottom, the three possible alternative descriptions: 4-c“standard” topology 32.104-lcv (green), 3-c 103-srs rhombic ringsynthon II (Scheme 1) (red) and 3-c 3.202-srs-a (blue) when themolecule is considered as two 3-c nodes.
Interpenetrated 3D Networks of H-Bonded Organic Species Crystal Growth & Design, Vol. 8, No. 2, 2008 535
only SAYMUB01 is 3D (the unique 18-fold 103-srs) whileSAYMUB contains 2D 63-hcb layers that are 3-fold interpen-etrated in a parallel fashion. Both show the same hydrogen-bond pattern, with single bonds of the -COOH groups of thetrimesic acid to the 4,4′-bispyridylethane spacers. The differenceconsists in the relative rotation about the hydrogen-bonds ofthe adjacent nodes, that is, the molecules of the acid give thethree dihedral angles for C-C-OH · · ·N that deviate consider-ably from 180° (150°-170°) only for the 3D derivative.
Finally, we consider the case of APYRDN/APYRDN01, theR- and -forms of 4-aminopyridin hemiperchlorate, respectively,that are both included in our list of interpenetrated nets. Thetwo species are of type ABC, with three distinct nodes, that is,the 4-aminopyridin molecule, its protonated form and theperchlorate anion. In Scheme 9 we show only the APYRDN01polymorph, the second one (APYRDN) differing only in theinteractions of the perchlorate anion that uses three out of thefour oxygen atoms for networking but gives a bifurcatedH-bond. Thus the ClO4
- anions are 4-c nodes in both poly-morphs but originate different H-bonded patterns and different(3,4)-trinodal topologies with symbols: (4.6.83.10)(4.6.8)(6.82)-bp5 for APYRDN and (83)(83)(86)-bp4 for APYRDN01. Bothcompounds can be alternatively described considering theresonance hydrogen-bond pyridine-pyridinium dimer as node.
In summary, different polymorphs can be originated in somecases by variated hydrogen-bond patterns with different syn-thons, but can be observed also in the presence of almostidentical hydrogen-bond patterns because of different spatialorientations of adjacent molecules (tectons), especially whenthese are not joined via the more rigid ring synthons. Given acertain environment of the nodes (tetrahedral, square-planar, etc.)we must remember that many alternative topologies are alwayspossible.
Preliminary examination of the interaction energies with thePIXEL method23b,c of three couples of polymorphs (SAYNAI/01, KAPVIH/01, BASVUM/01) shows that the contribution ofthe Coulumbic term (that include hydrogen bonds) is alwayson the same scale as the dispersion terms from the nearestmolecules, indicating that the interpenetration phenomena cannotbe distinguished on an energy basis. The dispersion interactionsconnect all the subnets into a single one. On the other hand,the different dimensionality 2D vs 3D can be appreciated.
As to supramolecular isomerism, we can cite many examplesthat have been already mentioned, like the case of the familyof clathrates of 2,7-dimethyltricyclo[4.3.1.13,8]undecane-syn-2,syn-7-diol. We have above-described their distinct guest-induced topologies, as, for instance, in the pair QULLAK (2-fold 43.62.8-gis) and QULLEO (single 64.82-qtz) containingCHCl3 solvated molecules in different amounts. Moreover, wecan associate to the three just described guest-free polymorphsof 3,3′,5,5′-tetramethyl-4,4′-bipyrazolyl UDAYUT, UDAYUT01,and UDAYUT02, also the tris(chloroform) clathrate HUXMIW(2 + 2 interpenetrated 32.104-lcv) that can be considered asupramolecular isomer of all three.
Conclusions
The use of the TOPOS package for the analysis of interpen-etrating 3D hydrogen-bonded networks in CSD has produced acomprehensive list of 122 distinct entangled architectures.Interpenetration was previously not seen in most (71%) of thelisted species that exhibit a variety of topological types, someof which are unprecedented. The importance of describing theextended systems assembled with hydrogen-bonds in terms ofthe resulting overall array has been here emphasized to contrast
the attention often devoted only to the first molecular environ-ments. The distribution of the topologies is rather different fromwhat is observed in other classes of interpenetrated materials(such as coordination and inorganic networks). The results wereanalyzed to search for factors influencing the topologies, thedegree of interpenetration, and the phenomena of polymorphismand supramolecular isomerism.
Acknowledgment. L.C., G.C., and D.M.P. thank MIUR forfinancing the PRIN 2006–2007 “POLYM2006: Innovativeexperimental and theoretical methods for the study of crystalpolymorphism: a multidisciplinary approach.”
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