Textbook Zeolite Type Crystal Structures and Their Chemistry 41 New Framework Type Codes 1St Edition R X Fischer Ebook All Chapter PDF
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Landolt-Börnstein / New Series
Landolt-Börnstein
Numerical Data and Functional Relationships
in Science and Technology
New Series
Geophysics (Group V)
Some of the group names have been changed to provide a better description of their contents.
Landolt-Börnstein
Numerical Data and Functional Relationships in Science and Technology
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R.X. Fischer
Fachbereich Geowissenschaften
Kristallographie
Universität Bremen
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e-mail: rfischer@uni-bremen.de
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Preface
When we first planned these volumes (subvolume B and the following subvolumes of volume 14 of
Landolt-Börnstein, Group IV: Physical Chemistry) about 20 years ago, 87 framework-type codes (FTC)
of zeolitic topologies had been approved by the Structure Commission of the International Zeolite
Association. At the time we estimated that there would be about one thousand crystal structure determina-
tions covering these FTCs. As one can see from Fig. 1.3 in the introduction to the present volume this was
an underestimate by a factor of two. Seven years later, by the time the first volume (subvolume B) was
published, the number of crystal structure determinations of zeolites had increased to approximately 3,500
(see Fig. 1.3 in the introduction). This was also the time when the exponential growth of these published
structures stopped, and growth continued in a linear fashion. By the end of 2013 we have to deal with
more than 6,000 crystal structures of zeolites distributed by now over 213 approved FTCs. Had the
exponential growth continued until 2013 we would have to contend by now with ca. 10,000 crystal
structures of zeolites. In terms of framework type codes we have almost caught up. Including the present
volume we have covered now 206 codes. The missing seven codes were approved by the Structure
Commission of the International Zeolite Association in July of 2013. That was too late for us to include
them in this volume. We hoped in the preface to subvolume B in the year 2000 to continue “speedily”
with our series of publications. However, it took us 14 years to reach the present state and to almost catch
up with the remarkable speed of development of the field. What is still missing are the last seven FTCs
from 2013 and the crystal structures of previously described codes which have been published after we
covered them in a previous subvolume. To give an example subvolume C published in 2002 lists 636
structure determinations of FAU-type (faujasite, zeolite X and Y) crystals, while we presently know of
266 more bringing the total to 902 (as compared to more than 1,000 for the SOD-type). These two are the
most studied of all zeolite types.
In Tables 4.3 and 4.4 of the introduction we are presenting a complete overhaul of the late
J.V. Smith’s Tables 16.3.2 and 16.3.1 from subvolume A of this series. The many changes in this area
made this necessary.
As stated before we have been aiming here at a complete, systematic, and standardized description of
all presently known zeolites and zeolite-like materials. With the publication of this volume we are up-to-
date as of the beginning of 2013. For general remarks on the background of this work see the preface and
the introduction to subvolume B.
The preparation of these volumes was a formidable task. Despite our best efforts, we know that it is
impossible to present such a wealth of material (possibly millions of pieces of data) without oversights,
mistakes and typographical errors. We welcome readers to point out to us any errors of omission or
commission which they find in these volumes.
At this time we wish to acknowledge the immediate help which we received in preparing these
volumes. Thus we thank Johannes Birkenstock for his efforts persuading Word to properly format turned
tables, Gabi Ebert for her assistance in obtaining literature, Thomas Messner for his support in program-
ming various useful tools for processing the data, and Antje Endemann from the Landolt-Börnstein edito-
rial office for her continuous and competent support in producing this volume. We are indebted to all
authors of the original papers who responded to our inquiries concerning details in their papers. We thank
Lynne McCusker and Christian Baerlocher from the ETH Zürich, who are maintaining the IZA-Web site,
for their gracious help in supplying additional information when needed by us for this volume.
Introduction
1 General remarks ..................................................................................................................... 1
2 Systematics, descriptions, and definitions ............................................................................. 6
2.1 Modifications and changes ..................................................................................................... 6
2.2 Minerals with zeolite-type frameworks ................................................................................. 7
3 List of abbreviations .............................................................................................................. 13
4 Polyhedral units ...................................................................................................................... 14
5 Chemistry ............................................................................................................................... 43
6 References .............................................................................................................................. 52
Data
Introduction
1 General remarks
This volume covers 41 framework-type codes (FTC) 1) approved by the Structure Commission of the
International Zeolite Association before the respective volumes of this series went to press since the first
volume of this series was published in 2000 [2000Bau1]. An overview of all FTC’s with the
corresponding type materials, year of approval by the IZA-SC is given in Table 1.1. Thus, all 206
framework types listed on the IZA website [2013Bae1] are described now with their standard settings in
volumes B to G. Figure 1.1 shows the increasing number of new zeolite-type frameworks which can be
compared with the corresponding diagram in Fig. 2.2.1 of volume B. Seven additional FTC’s (IFO, ITT,
JSR, OKO, SEW, SFW, SVV) have been approved in 2013, but full information was not available before
this volume went to press, thus they could not be included here.
250
200
cumulative number of FTC's
150
100
50
0
1965 1970 1975 1980 1985 1990 1995 2000 2005 2010 2015 2020
year of assignment of FTC
Fig. 1.1. Cumulative number of framework type codes assigned by the IZA SC (the 1971 date refers to a
review paper by W.M. Meier and D.H. Olson [71Mei1] which precedes the series of atlases published
under the auspices of the IZA SC). It represents a first compilation of zeolite-type frameworks, though
without the assignment of framework type codes. FTC’s were assigned in [78Mei1] for the first time.
1
) Abbreviations are listed in Chap. 3, p. 13.
Table 1.1. List of FTC’s approved since 1978. LB refers to this series of volumes.
year of LB year of LB
FTC approval 1) vol. type material FTC approval 1) vol. type material
ABW 1978 B Li-A CDO 2004 G CDS-1
ACO 1998 B ACP-1 CFI 1998 B CIT-5
AEI 1992 B AlPO4-18 CGF 1996 B Co-Ga phosphate 5
AEL 1987 B AlPO4-11 CGS 1997 B Co-Ga phosphate 6
AEN 1999 B AlPO4-EN CHA 1978 B chabazite
AET 1992 B AlPO4-8 CHI 1987 B chiavennite
AFG 1978 B afghanite CLO 1992 B cloverite
AFI 1987 B AlPO4-5 CON 1994 B CIT-1
AFN 1998 B AlPO4-14 CZP 1996 B chiral zinc phosphate
AFO 1992 B AlPO4-41 DAC 1978 C dachiardite
AFR 1992 B AlPO4-40 DDR 1987 C deca-dodecasil 3R
AFS 1987 B AlPO4-46 DFO 1993 C DAF-1
AFT 1992 B AlPO4-52 DFT 1998 C DAF-2
AFX 1994 B AlPO4-56 DOH 1987 C dodecasil 1H
AFY 1987 B AlPO4-50 DON 1999 C UTD-1
AHT 1994 B AlPO4-H2 EAB 1978 C TMA-E
ANA 1978 B analcime EDI 1978 C edingtonite
APC 1987 B AlPO4-C EMT 1992 C EMC-2
APD 1987 B AlPO4-D EON 2005 G ECR-1
AST 1987 B AlPO4-16 EPI 1978 C epistilbite
ASV 2000 G ASU-7 ERI 1978 C erionite
ATN 1992 B AlPO4-39 ESV 1998 C ERS-7
ATO 1992 B AlPO4-31 ETR 1987 G ECR-34
ATS 1992 B AlPO4-36 EUO 2006 C EU-1
ATT 1987 B AlPO4-33 EZT 2006 G EMM-3
ATV 1992 B AlPO4-25 FAR 2006 G farneseite
AWO 1998 B AlPO4-21 FAU 1978 C faujasite
AWW 1992 B AlPO4-22 FER 1978 C ferrierite
BCT 2001 G zeolite BCTT FRA 2000 C franzinite
BEA 1992 B zeolite beta GIS 1978 C gismondine
BEC 2001 G zeolite beta polymorph C GIU 2004 G giuseppettite
BIK 1978 B bikitaite GME 1978 C gmelinite
BOF 2008 G UCSB-15 GON 2000 C GUS-1
BOG 1992 B boggsite GOO 1987 C goosecreekite
BOZ 2012 G beryllium framework 10 HEU 1978 C heulandite
2
BPH 1992 B beryllophosphate H IFO 2013 ) ITQ-51
BRE 1978 B brewsterite IFR 1997 C ITQ-4
BSV 2008 G UCSB-7 IHW 2006 G ITQ-32
CAN 1978 B cancrinite IMF 2007 G IM-5
CAS 1992 B cesium aluminosilicate IRR 2011 G ITQ-44
Table 1.1 (continued) List of FTC’s approved since 1978. LB refers to this series of volumes.
year of LB year of LB
FTC approval 1) vol. type material FTC approval 1) vol. type material
ISV 1999 C ITQ-7 MOZ 2006 D ZSM-10
ITE 1997 C ITQ-3 MRE 2008 G ZSM-48
ITH 2003 G ITQ-13 MSE 2006 G MCM-68
ITR 2009 G ITQ-34 MSO 1999 D MCM-61
2
ITT 2013 ) ITQ-33 MTF 1987 D MCM-35
ITV 2011 G ITQ-37 MTN 1987 D ZSM-39
ITW 2003 G ITQ-12 MTT 1987 D ZSM-23
IWR 2004 G ITQ-24 MTW 1987 D ZSM-12
IWS 2008 G ITQ-26 MVY 2010 G MCM-70
IWV 2006 G ITQ-27 MWW 1997 D MCM-22
IWW 2003 G ITQ-22 NAB 2003 D nabesite
JBW 1992 C Na-J NAT 1978 D natrolite
JOZ 2012 G LSJ-10 NES 1992 D NU-87
JRY 2009 G CJ-40 NON 1987 D nonasil-[4158]
JSN 2012 G CJ-69 NPO 2004 D oxonitridophosphate-1
2
JSR 2013 ) JU-64 NPT 2011 G oxonitridophosphate-2
JST 2011 G CJ-63 NSI 2005 D NU-6(2)
JSW 2012 G CJ-62 OBW 2004 D OSB-2
KFI 1978 C ZK-5 OFF 1978 D offretite
2
LAU 1978 C laumontite OKO 2013 ) COK-14
LEV 1978 C levyne OSI 1996 D UiO-6
LIO 1978 C liottite OSO 2000 D OSB-1
LIT 2005 G lithosite OWE 2005 D UiO-28
LOS 1978 C losod PAR 1987 D parthéite
LOV 1987 C lovdanite PAU 1978 D paulingite
LTA 1978 D zeolite A PCR 2012 G IPC-4
LTF 2009 G LZ-135 PHI 1978 D phillipsite
LTJ 2011 G Linde Type J PON 2004 D IST-1
LTL 1978 D Linde Type L PUN 2010 G PKU-9
LTN 1987 D Linde Type N RHO 1978 D rho
MAR 2004 D marinellite RON 1992 E roggianite
MAZ 1978 D mazzite RRO 2004 E RUB-41
MEI 1992 D ZSM-18 RSN 1994 E RUB-17
MEL 1978 D ZSM-11 RTE 1994 E RUB-3
MEP 1987 D melanophlogite RTH 1994 E RUB-13
MER 1978 D merlinoite RUT 1994 E RUB-10
MFI 1978 D ZSM-5 RWR 2004 E RUB-24
MFS 1992 D ZSM-57 RWY 2003 E UCR-20
MON 1992 D montesommaite SAF 2010 G STA-15
MOR 1978 D mordenite SAO 1996 E STA-1
Table 1.1 (continued) List of FTC’s approved since 1978. LB refers to this series of volumes.
year of LB year of LB
FTC approval 1) volume type material FTC approval 1) volume type material
SAS 2000 E STA-6 STT 1998 F SSZ-23
SAT 1997 E STA-2 STW 2008 F SU-32
SAV 2000 E STA-7 SVR 2008 F SSZ-74
2
SBE 1998 E UCSB-8 SVV 2013 ) SSZ-77
SBN 2008 E UCSB-9 SZR 2006 F SUZ-4
SBS 1998 E UCSB-6 TER 1996 F terranovaite
SBT 1998 E UCSB-10 THO 1978 F thomsonite
2
SEW 2013 ) SSZ-82 TOL 2007 F tounkite like mineral
SFE 2000 E SSZ-48 TON 1987 F theta-1
SFF 1998 E SSZ-44 TSC 1998 F tschörtnerite
SFG 2003 E SSZ-58 TUN 2006 F TUN-9
SFH 2003 E SSZ-53 UEI 2002 F MU-18
SFN 2003 E SSZ-59 UFI 2003 F UZM-5
SFO 2004 E SSZ-51 UOS 2009 F IM-16
SFS 2009 G SSZ-56 UOZ 2004 F IM-10
SFV 2011 G SSZ-57 USI 2004 F IM-6
2
SFW 2013 ) SSZ-52 UTL 2004 F IM-12
SGT 1987 E sigma-2 UWY 2011 F IM-20
SIV 2006 E SIZ-7 VET 1995 F VPI-8
SOD 1978 E sodalite VFI 1992 F VPI-5
SOF 2008 G SU-15 VNI 1995 F VPI-9
SOS 2004 E SU-16 VSV 1994 F VPI-7
SSF 2008 E SSZ-65 WEI 1993 F weinebeneite
SSY 2004 E SSZ-60 WEN 1987 F wenkite
STF 1998 E SSZ-35 YUG 1978 F yugawaralite
STI 1978 E stilbite ZON 1995 F ZAPO-M1
STO 2008 F SSZ-31
1
) From [2013Bae1].
2
) FTC’s were assigned in 2013. Full information was not available before this volume went to press.
Ongoing syntheses of new zeolites (see, e.g., the series of ITQ zeolites from the Instituto de Tecnologia
Quimica in Valencia: ITH, ITR, ITV, ITW, IWR, IWS, IWV and IWW in this volume) and discoveries of
new minerals (see, e.g., farneseite, giuseppettite, and lithosite) lead to the almost linearly increasing
number of new FTC’s expected to cross the 250 line in Fig. 1.1 before the end of this decade. This shows,
that zeolites still represent one of the most important and fascinating materials. This is also reflected in
the number of publications on zeolites listed in the Web of Science [2013Web1] shown in Fig. 1.2. Thus,
it can be expected that the number of publications on zeolites will exceed 70,000 before 2020.
As described in Chap. 1 of the introduction in volume B, all crystal structure entries have been
checked for their internal and external consistency. Misprints in the original literature were corrected,
partly after correspondence with the authors, and partly to the best of our knowledge, especially if
typographical errors were obvious, or in all those cases where the authors either did not respond to our
inquiries or could not resolve the problem.
70000
60000
cumulative number of publications
50000
40000
30000
20000
10000
0
1900 1920 1940 1960 1980 2000 2020
year
Fig. 1.2. Cumulative number of publications listed in the Web of Science [2013Web1] with ‘zeolite’ as
keyword.
7000
cumulative number of crystal structures
6000
5000
4000
3000
2000
1000
0
1920
1924
1928
1932
1936
1940
1944
1948
1952
1956
1960
1964
1968
1972
1976
1980
1984
1988
1992
1996
2000
2004
2008
2012
year
Fig. 1.3. Cumulative number of crystal structures with zeolite-type frameworks [2013Bau1].
The main source for generating the entries in Tables FTC.2.1 and FTC.2.2 (where FTC stands for any
framework-type code) is our databank ZeoBase [2010Bau1, 2013Bau1] which currently contains as of
2013 more than 6000 entries of crystal structures of zeolite-type compounds. The cumulative number of
published crystal structures with zeolite-type frameworks is shown in Fig. 1.3. The ZeoBase suite of
programs is used to calculate histograms and XY-plots presented in chapters with a sufficient number of
entries to analyze crystal-chemical relationships. Crystal-structure representations, especially those used
for the building schemes in chapters FTC.1, are drawn with the program STRUPLO [2013Fis1] also used
together with the program SADIAN [91Bau1] to calculate distances and angles in chapters FTC.3.
Errors found by us in volumes A to F or communicated to us before this volume went to press are
listed under Errata at the end of this volume.
As explained in the corresponding chapter in volume E [2009Fis1], the atomic coordinates of the
frameworks in their highest possible topological symmetry (the aristotype structure) are calculated by
DLS [76Bae1] procedures based on an ideal framework of SiO4 tetrahedra using the coordinates provided
on the IZA homepage [2013Bae1] in cif format as starting parameters. All symmetry derivations done by
us are based – and rely on – the determination of the aristotype space group by [2013Bae1] without which
our standardization concept (see Chap. 3 of the introduction in volume B, and [2004Bau1, 2004Fis1])
could not be applied as conveniently as done here and in our database. In some cases (see, e.g., LIT in this
volume) we are using nonstandard settings of the unit cell (in contrast to the IZA) to conform to the
settings of the type materials in the subgroups. Consequently, the LIT aristotype structure is presented in
space group P n a m with an origin shift of ¼,0,0 from the standard origin at 1̄ relative to the setting in the
International Tables for Crystallography [2002Hah1] while the space group on the IZA homepage is
given as P n a m with b and c interchanged in the standard setting.
Starting with volume F [2013Fis2] we have listed the IZA entries of the aristotype structure as well as
other calculated structures in Tables FTC.2.1 and FTC.2.2 when there are other entries of minerals or
synthetic compounds present as well in the space group of the aristotype.
The crystal-crystal structure drawings in chapters FTC.3 usually contain polyhedral representations of the
framework in the three main directions of the unit cell and a ball and stick model. The dimensions of the
latter one do not always conform to the dimensions of the polyhedral drawings which generally contain
complete tetrahedral units while the ball and stick model might have some terminal sticks pointing to
adjacent T atoms.
Due to the fact that the natural tilings [2007Bla1, 2010Anu1] are presented by [2013Anu1] on the IZA
website [2013Bae1] for all FTC’s, we slightly modified the representations usually given in the figures in
Chap. 1 of the respective FTC. Whenever the units can be easily identified in the figures, they are just
labeled with the codes for the PBU’s without drawing the units separately. However, many building
schemes are still presented as ‘explosion models’ with separately drawn units whenever the assignments
are not obvious in the framework projections. On the other hand, more details are presented for the
description of the channels, usually with the sequence of units forming the channels.
It is not just the number of synthetic zeolites steadily growing. Every few years new minerals are found
some of which are representing new framework types. It was Frans Maurits Jaeger [29Jae1] who was the
first scientist to determine the crystal structure of a zeolite mineral, actually representing the first crystal-
structure determination of any zeolite, synthetic or natural. It was the structure of nosean, which has the
SOD-type framework. For details on the historical aspects see [2008Bau1]. Since 1928 more than 1300
crystal-structure descriptions of minerals with zeolite-type frameworks were published, represented in
Fig. 2.2.1 with the cumulative number of published structures. Those minerals where the crystal
structures were first determined within a given FTC are listed in Table 2.2.1.
With the completion of this volume G all minerals crystallizing in a zeolite-type framework are
covered. This does not necessarily mean that all these minerals are considered to be zeolites. According to
the subcommittee on zeolites of the International Mineralogical Association a zeolite is defined as follows
[97Coo1, 98Coo1, 98Coo2]: ‘A zeolite mineral is a crystalline substance with a structure characterized
by a framework of linked tetrahedra, each consisting of four O atoms surrounding a cation. This
framework contains open cavities in the form of channels and cages. These are usually occupied by H2O
molecules and extra-framework cations that are commonly exchangeable. The channels are large enough
to allow the passage of guest species. In the hydrated phases, dehydration occurs at temperatures mostly
below about 400 °C and is largely reversible. The framework may be interrupted by (OH,F) groups; these
occupy a tetrahedron apex that is not shared with adjacent tetrahedra.’ Some of the minerals listed here
might not conform to this definition. They are included in Table 2.2.2 and they are covered in the
respective chapters of this series if the atoms (or a subset of atoms) topologically correspond to a zeolite-
type framework. Thus, Table 2.2.2 gives a complete overview of all minerals with a zeolite-type
framework.
Mineral names in Tables FTC.2.1 are given in square brackets when the minerals were modified by
dehydration, calcination, or cation exchange. The mineral name refers to the original species even though
its chemical composition might be changed by cation exchange, thermal or acid treatment. The names are
given in parentheses if it is a synthetic analogue to the mineral species. Table 2.2.1 lists all entries
covered by volumes B to G.
1400
cumulative number of zeolite minerals
1200
1000
800
600
400
200
0
1920
1924
1928
1932
1936
1940
1944
1948
1952
1956
1960
1964
1968
1972
1976
1980
1984
1988
1992
1996
2000
2004
2008
2012
year
Fig. 2.2.1. Cumulative number of crystal structures of minerals with zeolite-type frameworks
[2013Bau1].
Table 2.2.1. List of zeolite minerals sorted by the year of their crystal-structure determinations.
year FTC mineral name reference year FTC mineral name reference
1
1929 SOD nosean ) 29Jae1 1977 LIO liottite 77Mer1
1930 ANA analcime 30Tay1 1979 MER merlinoite 79Gal1
1933 EDI edingtonite 33Tay1 1980 RON roggianite 80Gal1
NAT natrolite 33Tay2 1984 PAR parthéite 84Eng1
THO thomsonite 33Tay2 1986 GOO goosecreekite 86Rou1
1955 CAN cancrinite 2) 55Nit1 LIT lithosite 86Pud1
3
1958 CHA chabazite ) 58Den1 1989 BOG boggsite 89Plu1
FAU faujasite 58Ber1 RHO pahasapaite 89Rou1
1959 ERI erionite 59Sta1 1990 LOV lovdarite 90Mer1
LEV levyne 59Bar1 LTL perlialite 90Art1
1961 MOR mordenite 61Mei1 MON montesommaite 90Rou1
4
PHI harmotome ) 61Sad1 1991 AFG afghanite 91Pob1
1963 DAC dachiardite 63Got1 LOS bystrite 5) 91Pob1
GIS gismondine 63Fis1 1992 WEI weinebeneite 92Wal1
1964 BRE brewsterite 64Per1 1993 EAB bellbergite 93Rüd1
1965 EPI epistilbite 65Mer1 1994 VSV gaultite 94Erc1
MEP melanophlogite 65Kam1 1995 CHI chiavennite 95Taz1
1966 BCT phosphosiderite 66Moo1 1996 NES gottardiite 96Alb1
FER ferrierite 66Vau1 1997 MFI mutinaite 97Vez1
GME gmelinite 66Fis1 TER terranovaite 97Gal1
PAU paulingite 66Gor1 1998 TSC tschörtnerite 98Eff1
STI stilbite 66Gal1 2000 FRA franzinite 2000Bal1
1967 HEU heulandite 67Mer1 2002 BEA tschernichite 2002Alb1
LAU laumontite 67Bar1 NAB nabesite 2002Pet1
YUG yugawaralite 67Ker1 2003 MAR marinellite 2003Bon1
1972 OFF offretite 72Gar1 2004 GIU giuseppettite 2004Bon1
1973 WEN wenkite 73Wen1 TOL tounkite like mineral 2004Roz1
1974 BIK bikitaite 74Koc1 2005 FAR farneseite 2005Cam1
MAZ mazzite 74Gal1 2008 EON direnzoite 2008Gal1
1
) The mineral tetrahedrite (Cu24Sb8S24) with a Cu12S24 framework of the SOD type was determined in
1928 [28Mac1, 28Mac2] but it would not be considered a zeolite mineral. The crystal structure of the
eponymous compound ‘sodalite’ was first described in 1930 [30Pau1].
2
) The crystal structure as described by [33Koz1] for a cancrinite does not have a CAN-type framework.
3
) The crystal structure as described by [33Wya1] for a chabazite has a SOD-type framework.
4
) The crystal structure of the eponymous compound ‘phillipsite’ was first described in 1962 [62Ste1].
However, neither the space group of this phillipsite determination nor the space group of the harmotome
cited there is correct. Therefore, the first reliable structure determination of phillipsite is probably given
by [73Rin1].
5
) The eponymous compound ‘losod’ is not a mineral and thus not listed here.
Table 2.2.2. Selected entries of minerals with framework type codes ABW to ZON.
Table 2.2.2 (continued) Selected entries of minerals with framework type codes ABW to ZON.
mineral name chemical composition space group FD entry code
direnzoite Ca2.24K6.62Mg1.42Na0.94 · Al13.32Si46.68O120 P m m n 16.6 EON2008a01
· 36.8H2O
DOH-type SiO2 · 0.17CH4 2) P 6/m m m 18.1 DOH2011a01
1
mineral ) [2011Mom1]
edingtonite Ba2 · Al4Si6O20 · 7H2O P 4̄ 21 m 16.7 EDI1984a01
Ba2 · Al4Si6O20 · 8H2O P 21 21 2 16.6 EDI1976a01
epistilbite Ca3Na · Al6Si18O48 · 16H2O C 1 2/m1 17.6 EPI1967a01
Ca2.6Na0.8 · Al6Si18O48 · 16H2O C 1 21 17.7 EPI1985a02
Ca2.7Na0.3 · Al6Si18O48 · 16H2O C1 17.7 EPI1996a01
erionite-Ca Ca4.3K2.2Na0.2 · Al11Si25O72 · 36H2O P 63/mmc 15.5 ERI1998a02
erionite-K Ca1.3K2.0Mg0.6Na1.9 · Al9Si26O72 · 10H2O P 63/mmc 15.6 ERI1973a01
erionite-Mg, K Ca0.7K2.1Mg2.4Na1.3 · Al13.1Si23.6O72 · P 63/mmc 16.0 ERI1967a01
27.4H2O
farneseite Na36.4K9.2Ca8.8 · Si42.5Al41.5O168 · P 63/m 15.8 FAR2005a01
11.4SO4 0.2F 0.5Cl 3H2O
faujasite-Na Ca14Na29 · Al58Si134O384 · 263H2O F d 3̄ m 12.7 FAU1964a01
ferrierite-Mg Na1.3K0.2Mg2 · Al5.5Si30.5O72 · 18H2O Immm 17.8 FER1966a01
ferrierite-Na Na3KMg0.5 · Al5Si31O72 · 18H2O P 1 21/n 1 18.0 FER1985a01
ferrochiavennite 1) Ca1-2 · FeBe2Si5O13(OH)2 · 2H2O P 1 21/c 1 20.7 CHI2013a01
[2013Gri1]
flörkeite 3) Na2K6Ca4 · Al16Si16O64 · 24H2O P 1̄ 15.8 PHI2009b01 3)
franzinite (Na,K)30Ca10 · Si30Al30O120 · 10SO4 P 3̄ m 1 15.6 FRA2000a01
2H2O
freibergite Cu12S24 · 2S(Fe1.7Ag4.3) 8Sb I 4̄ 3 m 10.0 SOD1986d01
galkhaite Hg9.12Cu1.44Zn1.44S24 · 8As 1.92Tl I 4̄ 3 m 10.7 SOD1975a01
garronite Ca3 · Al6Si10O32 · 14H2O I 4̄ m 2 15.8 GIS1992a01
Ca3 · Al6Si10O32 · 14H2O I 1 1 2/b 16.0 GIS1999c01
gaultite Na34.2 · Zn15Si55.9O144 · 40H2O Fd2d 17.1 VSV1994b01
genthelvite Fe2Zn6 · Si6Be6O24 · 2S P 4̄ 3 n 22.2 SOD1985a05
gismondine Ca4 · Al8Si8O32 · 16H2O P 1 1 21/a 15.3 GIS1963a01
Ca8 · Al16Si16O64 · 16H2O P 21 21 21 18.6 GIS1993a02
giuseppettite Na42K16Ca6 · Al48Si48O192 · 10SO4 2Cl P31c 15.9 GIU2004a01
5H2O
gmelinite-Na Na8 · Al8Si16O48 · 22H2O P 63/mmc 14.6 GME1982a01
gmelinite-Ca Ca2.06K0.11Na0.78Sr1.35 · Al7.82Si16.21O48 · P 63/mmc 14.6 GME1982a02
23.23H2O
gmelinite-K K3Ca2 · Al8Si16O48 · 24H2O P 63/mmc 14.6 GME1990a01
gobbinsite Ca0.6Na4.3 · Al5.6Si10.4O32 · 12H2O P n m 21 15.9 GIS1994a01
Ca0.6K2.2Na2.6 · Al6Si10O32 · 12H2O P n m 21 15.9 GIS1985b01
goldfieldite Cu10.20S22.66Se1.34 · 2SCu5.9 As 5Te 2Sb I 4̄ 3 m 10.9 SOD1996l01
gonnardite Na4.51Ca1.84 · Al8.59Si11.50O40 · 12.61H2O I 4̄ 2 d 17.2 NAT1999b01
goosecreekite Ca · Al2Si6O16 · 5H2O P 1 1 21 17.6 GOO1986a01
gottardiite Ca4.8K0.2Mg3.1Na2.5 · Al18.8Si1117.2O272 · C c m e 17.4 NES1996a01
93H2O
harmotome Ca0.5Ba2 · Al5Si11O32 · 12H2O P 1 21/m1 16.0 PHI1974a02
haüyne Ca2.4K1.6Na4.3 · Si6Al6O24 · 1.5SO4 P 4̄ 3 n 15.8 SOD1991d01
Table 2.2.2 (continued) Selected entries of minerals with framework type codes ABW to ZON.
mineral name chemical composition space group FD entry code
helvine Mn8 · Be6Si6O24 · 2S P 4̄ 3 n 21.0 SOD1972a01
heulandite-Ca Ca3.7Na1.30 · Al8.9Si27.1O72 · 21H2O C2/m 17.2 HEU1994a01
Ca3.6K0.4Na1.3 · Al9.4Si26.7O72 · 26H2O Cm 17.1 HEU1972a02
hsianghualite Ca24Li16 · Be24Si24O96 · 16F I 21 3 22.5 ANA1991c01
kalborsite K6 · Al4Si6O20 · B(OH)4 Cl P 4̄ 21 c 15.8 EDI1980a01
kirchhoffite 1) Cs · BSi2O6 I 41/a c d 22.0 ANA2012b01
[2012Aga1]
kolbeckite Sc3.76V0.12Fe0.08Al0.04P4O16 · 8H2O P 1 21/n 1 16.2 BCT2007a01
kumdykolite Na2 · Al2Si6O16 P 1 21/n 1 4) 23.1 BCT2009a01
kyanoxalite 1) Na7 · Si6-7Al5-6O24 · (C2O4)0.5-1 · 5H2O 2) P 63 16.6 CAN2010d01
[2010Chu1]
laumontite Ca4 · Al8Si16O48 · 17.2H2O C 1 2/m1 17.6 LAU1992a01
H2O-poor Ca4 · Al8Si16O48 · 12H2O C 1 2/m1 17.6 LAU1970a01
laumontite
Na,K-rich Ca2K2Na2 · Al8Si16O48 · 14H2O C 1 2/m1 17.8 LAU2000a01
laumontite
Na,K-rich Ca2.6K1.6Na1.2 · Al8Si16O48 · 14H2O P 1 2/a 1 17.8 LAU1997a01
laumontite
lazurite Na6.0K0.3Ca1.2 · Al6Si6O24 · 1.1SO4 0.1S3 P 4̄ 3 n 16.0 SOD2004g03
0.4Cl 0.3H2O
Na6.41Ca1.36K0.04 · Al5.91Si6.09O24 · 1.73SO4 P23 16.0 SOD2006c01
0.17Cl
Ca7.74K0.48Na38.82 · Al35.04Si36.96O144 · Pccn 16.1 SOD1998j01
10.98SO4 1.6Cl
Ca1.54Na6.34 · Al6Si6O24 · 0.84SO4 1.54S Pnn2 16.0 SOD2003i01
leucite K16 · Al16Si32O96 I 41/a 20.4 ANA1976a01
K16 · Al16Si32O96 I a 3̄ d 19.4 ANA1993b05
K16 · Al16Si32O96 I 41/a c d 19.4 ANA1990b12
levyne-Ca Ca8Na2K · Al19Si35O108 · 50H2O R 3̄ m 15.2 LEV1975a01
levyne-Na Ca3.2KNa10.7 · Al18.8Si35.3O108 · 44.2H2O R 3̄ m 15.4 LEV1996a01
liottite Ca11Na9K4 · Al18Si18O72 · 2H2O 4SO4 2CO3 P 6̄ m 2 15.6 LIO1977a01
3Cl 4OH
Ca9Na10K5 · Al18Si18O72 · 5SO4 3.5Cl 0.5F P 6̄ 15.6 LIO1996a01
lithosite K12H4 · Al8Si16O52 P 1 211 18.3 LIT1986a01
londonite 5) O4Al4Be4Cs · B12O24 P 4̄ 3 m 30.6 SOD1966c01
lovdarite K4Na12 · Be8Si28O72 · 18H2O Pc2m 18.3 LOV1990a01
maricopaite Ca2.2Pb7.2 · Al11.6Si36.4O99.6 · 31.8H2O Cm2m 16.6 MOR1994b01
marinellite Na32K11Ca6 · Al36Si36O144 · 8SO4 1.6Cl P31c 15.8 MAR2003a01
3.4H2O
mazzite-Mg Ca1.4K2.5Mg2.1Na0.3 · Al9.9Si26.5O72 · 28H2O P 63/mmc 16.1 MAZ1975a01
mazzite-Na Na8 · Al8Si28O72 · 30H2O P 63/mmc 16.1 MAZ2005a01
melanophlogite Si184O368 · 7.2CH4 4.08CO2 14.16N2 P 42/n b c 19.1 MEP2001a01
Si46O92 · 1.8CH4 1.02CO2 3.54N2 P m 3̄ n 19.0 MEP1983a01
merlinoite K5Ca2 · Al9Si23O64 · 24H2O Immm 16.0 MER1979a01
mesolite Na15.92Ca16.32 · Al48.00Si71.84O240 · 64H2O Fdd2 17.6 NAT2000c01
metavariscite Al4P4O16 · 8H2O P 1 21/n 1 19.2 BCT1973b01
Table 2.2.2 (continued) Selected entries of minerals with framework type codes ABW to ZON.
mineral name chemical composition space group FD entry code
microsommite Na4K2Ca2 · Al6Si6O24 · 0.9SO4 2.2Cl P 63/m 15.6 CAN1995a02
Na4K2Ca2 · Al6Si6O24 · 0.9SO4 2.2Cl P 63 15.9 CAN1995a01
montesommaite K5 · Al5Si11O32 · 5H2O I 41/a m d 18.1 MON1990a02
mordenite Ca1.89K0.14Mg0.09Na3.51 · Al7.4Fe0.03Si40.53O96 C m c m 17.2 MOR2003a01
· 27.26H2O
mutinaite Ca3.8K0.1Mg0.2Na2.8 · Al11.2Si84.9O192 · 60H2O P n m a 17.6 MFI1997a01
nabesite Na8 · Be4Si16O40 · 16H2O P 21 21 21 16.9 NAB2002a01
natrolite Na16 · Al16Si24O80 · 16H2O Fdd2 17.8 NAT1993b01
nosean Na8 · Si6Al6O24 · SO4 H2O P 4̄ 3 n 16.0 SOD1989b01
offretite KCaMg · Al5Si13O36 · 18H2O P 6̄ m 2 15.4 OFF1996a01
pahasapaite Li11.6Ca5.5K1.2Na0.2 · Be24P24O96 · 38H2O I23 18.3 RHO1989c01
paranatrolite Na15.04K1.76Ca0.48 · Al17.92Si22.08O80 · F1d1 16.7 NAT2004a01
24.8H2O
parthéite Ca8 · Al16Si16O68H8 · 16H2O C 1 2 /c 1 18.2 PAR1984a01
paulingite-K K68Ba1.5Ca36Na13 · Al152Si520O1344 · 705H2O I m 3̄ m 15.5 PAU1966a01
paulingite-Ca Ba2Ca59K36Na14 · Al173Si499O1344 · 550H2O I m 3̄ m 15.5 PAU1996a01
barian Ba22Ca41Fe0.5K36Mg0.6Mn0.2Na6 · I m 3̄ m 15.5 PAU1997a01
paulingite-Ca Al185Si489Sr2O1344 · 434H2O
perlialite K8Tl4 · Al12Si24O72 · 20H2O P 6/m m m 16.1 LTL1990a01
phillipsite-K Ca1.7K2.0Na0.4 · Al5.3Si10.6O32 · 12H2O P 1 21/m1 15.8 PHI1974a01
phosphosiderite Fe4P4O16 · 8H2O P 1 21/n 1 17.7 BCT1966a01
pitiglianoite Na18K6 · Al18Si18O72 · 3SO4 6H2O P 63 16.3 CAN1991c01
pollucite Cs10Na3 · Al14Si34O96 · 4.5H2O I a 3̄ d 18.8 ANA1995a01
Cs13Na2 · Al15Si33O96 · 32H2O I 41/a c d 18.7 ANA1995a02
quadridavyne Na16K4Ca8 · Al24Si24O96 · 16Cl P 63/m 15.5 CAN1994a01
rhodizite O4Cs0.36K0.46Na0.02Rb0.06Al3.99Be4 · P 4̄ 3 m 30.6 SOD1986e01
B11.35Be0.55Li0.02O24
roggianite Ca16 · Be8(OH)16Al16Si32O104 · 19H2O I 4/m c m 18.2 RON1991a01
scolecite Ca8 · Al16Si24O80 · 24H2O F1d1 17.5 NAT1997a01
sodalite Na8 · Si6Al6O24 · 2Cl P 4̄ 3 n 17.1 SOD1984a01
6
Na7.5Fe0.05 · Al5.93Si6.07O24 · Cl1.99 0.01SO4 ) P 4̄ 3 n 17.2 SOD1983c01 6)
stellerite Ca7.56Mg0.06K0.28Na0.34Sr0.02 · Fmmm 16.3 STI1975a01
Al15.86Fe0.12Si56.04O144 · 56.20H2O
stilbite-Ca Ca8.36Mg0.36Na2.56 · Al20.60Si51.42O144 · F 1 2/m 1 16.3 STI1971a01
68.14H2O
stilbite-Na Ca3.45K1.94Mg0.08Na8.18 · Al16.62Si55.25O144 · F 1 2/m 1 16.2 STI1987a02
53.53H2O
svyatoslavite Ca2 · Al4Si4O16 P 21 1 1 22.5 BCT2012a01
tennantite Cu12S24 · 2SCu6 Cu 7.8As 0.16Sb I 4̄ 3 m 11.4 SOD2005c01
terranovaite Ca4Na4 · Al12Si68O160 · 29H2O Cmcm 17.1 TER1997a01
tetrahedrite Cu12S24 · 2S(Cu5Fe0.5Ag0.5) 8Sb I 4̄ 3 m 10.8 SOD1986d02
7
Cu9.26Hg2.74S24 · 2SCu6 6.7Sb 1.3As ) I 4̄ 3 m 10.5 SOD2003d01 7)
tetranatrolite Na5.85Ca1.90 · Al9.25Si10.75O40.00 · 10.96H2O I 4̄ 2 d 17.3 NAT2005a01
tiptopite K2Li2.9Na1.7Ca0.7 · Be6P6O24 · 2OH 1.3H2O P 63 21.7 CAN1987a01
thomsonite-Ca Na2.34Ca3.5 · Al9.6Si10.4O40 · 11.24H2O Pbmn 17.6 THO1978a01
thomsonite-Ca Na4.29Ca6.96Sr0.79 · Al19.24Si20.59O80 · 27.58H2O P n c n 17.7 THO1981a01
thomsonite-Sr Na4.8Ca5.12Sr2.08 · Al19.20Si20.80O80 · 24H2O Pncn 17.6 THO2001e01
Table 2.2.2 (continued) Selected entries of minerals with framework type codes ABW to ZON.
mineral name chemical composition space group FD entry code
disordered Ca2.93K0.02Mg0.26Na2.17 · Al8.41Si11.56O40 · Pbmn 17.7 THO2010a01
thomsonite-Ca 11.8H2O
tsaregodtsevite (C4H12N)2 · Al2Si10O24 I222 16.7 SOD1991h01
tschernichite Ca4 · Al8Si24O64 · 32H2O 8) BEA [91Smi1,
93Bog1, 95Gal1]
tschörtnerite Ba4.8Ca89.6Cu46.4K11.2Sr16.6 · F m 3m 12.1 TSC1998a01
Fe1.4Al189.6Si193.0O768 · 135OH 224H2O
tounkite-like Ca15.48Na31.08K0.9 · Al36.06Si35.94O144 · 7.98Cl P 3 15.9 TOL2004a01
mineral 10.74SO4
tugtupite Na8 · Al2Be2Si8O24 · 2Cl I 4̄ 18.5 SOD1966a01
vishnevite Na8 · Al6Si6O24 · SO4 2H2O P 63 16.6 CAN1984a01
wairakite Ca7Na · Al15Si33O96 · 16H2O I 1 1 2/a 19.0 ANA1979a01
weinebeneite H8.44Ca3.96 · Be12.08P7.88O39.96 · 16H2O Cc 18.1 WEI1992a01
wenkite Ba4Ca5(Na,K)Al9Si11O41(OH)2 · 3SO4 P 6̄ 2 m 10) 18.6 WEN1973a01
9
H2O ) WEN1974a01
willhendersonite Ca2K2 · Al6Si6O24 · 10H2O P 1̄ 14.9 CHA1984c01
Ca2.9 · Al6Si6O24 · 11H2O P 1̄ 15.1 CHA1997a01
yugawaralite Ca2 · Al4Si12O32 · 8H2O Pc 18.2 YUG1986a01
1
) Minerals were not listed in the respective chapters of volumes B to F of this series because they were
not known before these volumes went to press.
2
) The chemical composition is idealized.
3
) Flörkeite [2009Len1] has a PHI-type framework not listed in chapter PHI of volume D [2006Fis1]
because it was published after volume D with the PHI type minerals had gone to press.
4
) Kumdykolite was originally described in space group P 1 21 1 [2009Hwa1] but most probably the
correct symmetry is P 1 21/n 1 (see chapter BCT).
5) Name of mineral rhodizite changed to londonite [2001Sim1] for the Cs-dominant phase according to
3 List of abbreviations
Just the abbreviations occurring in the text are listed. Further codes appearing in the Tables are explained
in the corresponding chapters 8 to 15 of the introduction to volume B [2000Bau1].
a, b, c Basis vectors of the unit cell
a, b, c, , , Unit cell constants [Å, °]
B Isotropic displacement factor (temperature factor) [Å2]
Beq Equivalent isotropic displacement factor [Å2], calculated as explained in [88Fis1]
cif Crystallographic Information File
DLS Distance Least Squares
DnR Double ring consisting of two SnR’s
4 Polyhedral units
Starting with volume E, we adopted the names listed by Anurova and Blatov [2013Anu1] in [2013Bae1]
for the natural tilings for all units not listed in [2000Smi1]. For definitions of the natural tilings see
[2007Bla1] and for a detailed description and discussion see [2010Anu1]. An interesting approach of
assembling zeolite-type frameworks as a packing of natural building units is given in [2013Bla1]. The
natural tilings have several advantages in contrast to the intuitively defined units in [2000Smi1]. The
choice of the units is unambiguous and they totally fill the crystal space [2010Anu1]. They are computer-
generated and represent a valuable tool for the description of porous framework materials. These units are
named ‘natural building units’ (NBU) in [2010Anu1] but here the term ‘polyhedral building unit’ (PBU)
as a more general expression is used for consistency. It was already foreseen by Smith [2000Smi1] that a
more rigorous definition of units based on mathematical grounds might emerge: ‘In general, I agree that
mathematical rigor is desirable in selection and definition of polyhedral units. In practice, as of today, I
take a very broad view that any unit that might be useful to a synthesis chemist should be listed here.
Hence, the units used here may prove to be an inconsistent boillabais[s]e, that will be adjusted into a
more logical set after further thinking.’ However, it is remarkable that most of the units defined in
[2000Smi1] are compatible with the natural building units [2010Anu1]. Therefore, following the concept
of [2010Anu1], the Smith labels are used when they conform to the NBU’s and additional units not listed
in [2000Smi1] have designations given by [2010Anu1, 2013Anu1] often consisting of the FTC in lower
case letters with sequence numbers if more than one newly defined unit occurs within a framework type.
These units carry an asterisk as suffix after the unit label.
For a transitional period it was necessary to define units not listed in [2000Smi1] and before the
systematic compilation of NBU’s [2010Anu1, 2013Anu1] became available. These bb units were
introduced by us [2000Bau1] following the concept of [2000Smi1]. They are now completely replaced by
the natural tilings listed in Table 4.1 together with the corresponding NBU’s.
Unfortunately, there are some designations given to some more abundant units in [2013Bae1] which
differ from the designations assigned in [2000Smi1] and [2010Anu1, 2013Anu1]. The cross references
are listed in Table 4.2. It is especially confusing, that, e.g., the lov unit defined in [2013Bae1] is identical
with the sfi unit after [2000Smi1, 2010Anu1] and differs from the lov unit defined by [2000Smi1].
Tables 4.3 and 4.4 contain the complete set of units defined by [2000Smi1, 2010Anu1, 2013Anu1].
Thus, they are replacing Tables 16.3.1 and 16.3.2 in volume A [2000Smi1] of this series. However, for
descriptions of the units defined by Smith we refer to the comments given in Table 16.3.2 in [2000Smi1].
This table also contains some units found in nonzeolitic nets. These units together with units replaced by
natural building units are labeled with a prime in Tables 4.3 and 4.4.
The face symbols consist of numbers representing the ring sizes of symmetrically independent faces in
increasing order with their multiplicities as superscripts. Following Smith’s concept [2000Smi1], the
‘face symbol lists the order (number of edges = number of vertices) of each topologically-distinct set of
faces, with the multiplicity (number of faces) as superscript. The face needs not be a planar or regular
polygon. Each face symbol is arranged in increasing order of polygon type, and then in decreasing order
of multiplicity.’ Thus, this differs from [2010Anu1, 2013Anu1] who are using the short form of the face
symbol. It should be noted that the point symmetry listed by [2013Anu1] represents the site symmetry of
the Wyckoff position of the corresponding unit center and therefore it is usually lower than the highest
possible symmetry listed here. In contrast to crystal classes, which are restricted to the symmetry of
crystals, the point group for polyhedral units can contain noncrystallographic symmetry elements like,
e.g., 102 m for sfg-3* in the SFG framework.
It should be noted, that we were not aiming for a space-filling description of the frameworks in our
chapters on building schemes. We just describe the framework in some of its components to facilitate the
understanding of the complex linkages in the tetrahedral frameworks. Therefore, not all of the units listed
in Tables 4.3 and 4.4 are actually used in the respective chapters. These tables represent a complete list
with units merged from [2000Smi1] and [2013Anu1] in their highest possible topological symmetry.
Since all zeolite-type crystal structures have tetrahedral frameworks, the prefix “t” for the unit labels
indicating subunits in tetrahedral environments as used in [2010Anu1, 2013Anu1] is omitted here.
Table 4.1. Additional PU’s defined by [2000Bau1, 2002Bau1, 2006Fis1] and not listed in [2000Smi1].
bb unit unit label after face symbol point group occurrence
[2013Anu1]
bb01 2×ats* 44446462122 2/m ATS
bb02 part of awo* 42414141416182101 m AWO
bb03 bog-3* 42414162102 mm2 BOG
bb04 bal* 42102 mmm BOG, CON, LAU
bb05 bre* 424252526281818181 m BRE
bb06 cgf-2* 444444648282 2/m CGF
bb07 extended cgf-1* 4444446464646482102 2/m CGF
bb08 part of cgs* 424242418281101101 m CGS
bb09 2×cor* 426261 2 CHI
bb10 part of chi* 626192121 2 CHI
bb11 2×bea-2* 54122122 2/m CON
bb12 2×cfi-2* 6464142 2/m CFI
bb13 2×bea-1* 425462122 2/m BEA, CON
bb14 2×aen* 4264648282 2/m AEN
bb15 part of dac-2* 6282102 mmm DAC
bb16 bb15+2×dac-1* 586282102 mmm DAC
bb17 dac-2* 5482102 mmm DAC, FER
bb18 don* 4241526261 mm2 DON
bb19 gon* 6462122 mmm GON, MTW
bb20 heu-1* 545482102 2/m HEU
bb21 heu-2* 444454548282 2/m HEU
bb22 2×ifr* 4442546462122 2/m IFR
bb23 bbo* 42124 4/mmm ISV
bb24 fvw* + 2×umx* 425262121 mm2 ISV
bb25 bb24 + 2×extended isv* 444254546464124 mmm ISV
bb26 extended fvw* 425464122 mmm ISV
Table 4.1 (continued) Additional PU’s defined by [2000Bau1, 2002Bau1, 2006Fis1] and not listed in
[2000Smi1].
bb unit unit label after face symbol point group occurrence
[2013Anu1]
bb27 lau-1* 4442646262102 2/m LAU
4
bb28 nab-2* 9 4̄ 2 m LOV, RSN
bb29 nab-1* 32418192 mm2 LOV, NAB, RSN
bb30 lig* 82104 4̄ 2 m MEL
bb31 part of mfs-2* 54528282102 mm2 MFS
bb32 part of mtf* 425454628282 2/m MTF
bb33 part of mtt* 626262102 mm2 MTT
bb34 mww-1* 51261262106 6/mmm MWW
bb35 mww-2* 425454102 mmm MWW
bb36 - 424241415252626261618181 m RTE (type B)
bb37 nes* 5858545468104 mmm NES
bb38 2×extended oso* 343434348484142 222 OSO
bb39 4×cor* 424262 2 PON
bb40 - 486882 8̄ 2 m RTE (type C)
4 8 4 2
bb41 - 4568 4̄ 2 m RTE (type C)
bb42 mel-1* + mel-2* 4152525261101101 m MEL, MFI
bb43 2×mfi-1* 5454102 2/m MFI
bb44 npo* 3263 6̄ 2 m NPO
bb45 mor* 52525281122 mm2 MOR
bb46 mtw-1* 5464122 mmm MTW
bb47 obw* 343434418481104 4 mm OBW
bb48 2×bik* 52526482 2/m NSI
bb49 owe* 424141828282 mm2 OWE
bb50 kaa 6282 mmm OWE
bb51 2×rro-1*+2×rro-2* 42425252525282102 2 RRO
Table 4.2. Cross references for units listed in [2007Bae1] and [2013Bae1] (column Bae) different from
[2000Smi1], [2010Anu1], and [2013Anu1] (column Smi, Anu). For units not having an equivalent, face
symbols in their short forms are given.
Bae Smi, Anu Bae Smi, Anu Bae Smi, Anu Bae Smi, Anu
abw kdq clo rpa lta grc nat des
atn ocn d4r cub ltl lil rte tte
ats oth d6r hpr mei iet rth cle
bea wwt d8r opr mfi pen sod toc
4 1 1 1 6 1
bik 568 fer ) 56 mor tes stf nuh
bph afo gis gsm mso ber ton 2) 546281
bre bru jbw hes mtn red vsv 3141
cas eun lov sfi mtt 5481
1
) Alternatively this unit can be described as a composite unit formed by two tes units.
2
) Alternatively this unit can be described as a composite unit formed by two pes units.
Table 4.3. Polyhedral units in alphabetic order replacing Table 16.3.2 in volume A [2000Smi1]. Units
with a prime are listed in [2000Smi1] but do not correspond to NBU’s as defined in [2010Anu1,
2013Anu1]. An asterisk indicates units defined in [2010Anu1, 2013Anu1] not listed in [2000Smi1].
Table 4.3 (continued) Polyhedral units in alphabetic order. See first heading on p. 17 for explanation.
Table 4.3 (continued) Polyhedral units in alphabetic order. See first heading on p. 17 for explanation.
Table 4.3 (continued) Polyhedral units in alphabetic order. See first heading on p. 17 for explanation.