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Volumn 36, Issue 4, 2004, Pages 381-408

Spiroconjugation in 1-, 2-, and 3-dimensions: The foundations of a spiro quantum chemistry

Author keywords

[No Author keywords available]

Indexed keywords

ANNULENE DERIVATIVE; CARBON; FULLERENE DERIVATIVE; HYDROCARBON; POLYENE;

EID: 6344277910     PISSN: 02599791     EISSN: None     Source Type: Journal    
DOI: 10.1023/B:JOMC.0000044525.92511.ab     Document Type: Article
Times cited : (10)

References (83)
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    • The structural information is based upon electron diffraction data of the gaseous 1,4-cyclohexadiene molecule. Carreira et al. report the ring in a planar equilibrium conformation
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    • The Geometrical Basis of Crystal Chemistry: Part 4
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    • The Geometrical Basis of Crystal Chemistry: Part 5
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    • The Geometrical Basis of Crystal Chemistry: Part 6
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    • The Geometrical Basis of Crystal Chemistry: Part 7
    • A.F. Wells, The Geometrical Basis of Crystal Chemistry: (a) Part 1, A.F. Wells, Acta Cryst. 7 (1954) 535. (b) Part 2, A.F. Wells, Acta Cryst. 7 (1954) 545. (c) Part 3, A.F. Wells, Acta Cryst. 7 (1954) 842. (d) Part 4, A.F. Wells, Acta Cryst. 7 (1954) 849. (e) Part 5, A.F. Wells, Acta Cryst. 8 (1955) 32. (f) Part 6, A.F. Wells, Acta Cryst. 9 (1956) 23. (g) Part 7, A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. (h) Part 8, A.F. Wells, Acta Cryst. 18 (1965) 894. (i) Part 9, A.F. Wells, Acta Cryst. B24 (1968) 50. (j) Part 10, A.F. Wells, Acta Cryst. B25 (1969) 1711. (k) Part 11, A.F. Wells, Acta Cryst. B28 (1972) 711. (l) Part 12, A.F. Wells, Acta Cryst. B32 (1976) 2619. (m) A.F. Wells, Three Dimensional Nets and Polyhedra, 1st ed. (Wiley, New York, 1977). (n) A.F. Wells. Further Studies of Three-dimensional Nets, American Crystallographic Association, Monograph #8, 1st ed. (ACA Press, 1979).
    • (1963) Acta Cryst. , vol.16 , pp. 857
    • Wells, A.F.1    Sharpe, R.R.2
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    • The Geometrical Basis of Crystal Chemistry: Part 8
    • A.F. Wells, The Geometrical Basis of Crystal Chemistry: (a) Part 1, A.F. Wells, Acta Cryst. 7 (1954) 535. (b) Part 2, A.F. Wells, Acta Cryst. 7 (1954) 545. (c) Part 3, A.F. Wells, Acta Cryst. 7 (1954) 842. (d) Part 4, A.F. Wells, Acta Cryst. 7 (1954) 849. (e) Part 5, A.F. Wells, Acta Cryst. 8 (1955) 32. (f) Part 6, A.F. Wells, Acta Cryst. 9 (1956) 23. (g) Part 7, A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. (h) Part 8, A.F. Wells, Acta Cryst. 18 (1965) 894. (i) Part 9, A.F. Wells, Acta Cryst. B24 (1968) 50. (j) Part 10, A.F. Wells, Acta Cryst. B25 (1969) 1711. (k) Part 11, A.F. Wells, Acta Cryst. B28 (1972) 711. (l) Part 12, A.F. Wells, Acta Cryst. B32 (1976) 2619. (m) A.F. Wells, Three Dimensional Nets and Polyhedra, 1st ed. (Wiley, New York, 1977). (n) A.F. Wells. Further Studies of Three-dimensional Nets, American Crystallographic Association, Monograph #8, 1st ed. (ACA Press, 1979).
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    • Wells, A.F.1
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    • The Geometrical Basis of Crystal Chemistry: Part 9
    • A.F. Wells, The Geometrical Basis of Crystal Chemistry: (a) Part 1, A.F. Wells, Acta Cryst. 7 (1954) 535. (b) Part 2, A.F. Wells, Acta Cryst. 7 (1954) 545. (c) Part 3, A.F. Wells, Acta Cryst. 7 (1954) 842. (d) Part 4, A.F. Wells, Acta Cryst. 7 (1954) 849. (e) Part 5, A.F. Wells, Acta Cryst. 8 (1955) 32. (f) Part 6, A.F. Wells, Acta Cryst. 9 (1956) 23. (g) Part 7, A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. (h) Part 8, A.F. Wells, Acta Cryst. 18 (1965) 894. (i) Part 9, A.F. Wells, Acta Cryst. B24 (1968) 50. (j) Part 10, A.F. Wells, Acta Cryst. B25 (1969) 1711. (k) Part 11, A.F. Wells, Acta Cryst. B28 (1972) 711. (l) Part 12, A.F. Wells, Acta Cryst. B32 (1976) 2619. (m) A.F. Wells, Three Dimensional Nets and Polyhedra, 1st ed. (Wiley, New York, 1977). (n) A.F. Wells. Further Studies of Three-dimensional Nets, American Crystallographic Association, Monograph #8, 1st ed. (ACA Press, 1979).
    • (1968) Acta Cryst. , vol.B24 , pp. 50
    • Wells, A.F.1
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    • The Geometrical Basis of Crystal Chemistry: Part 10
    • A.F. Wells, The Geometrical Basis of Crystal Chemistry: (a) Part 1, A.F. Wells, Acta Cryst. 7 (1954) 535. (b) Part 2, A.F. Wells, Acta Cryst. 7 (1954) 545. (c) Part 3, A.F. Wells, Acta Cryst. 7 (1954) 842. (d) Part 4, A.F. Wells, Acta Cryst. 7 (1954) 849. (e) Part 5, A.F. Wells, Acta Cryst. 8 (1955) 32. (f) Part 6, A.F. Wells, Acta Cryst. 9 (1956) 23. (g) Part 7, A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. (h) Part 8, A.F. Wells, Acta Cryst. 18 (1965) 894. (i) Part 9, A.F. Wells, Acta Cryst. B24 (1968) 50. (j) Part 10, A.F. Wells, Acta Cryst. B25 (1969) 1711. (k) Part 11, A.F. Wells, Acta Cryst. B28 (1972) 711. (l) Part 12, A.F. Wells, Acta Cryst. B32 (1976) 2619. (m) A.F. Wells, Three Dimensional Nets and Polyhedra, 1st ed. (Wiley, New York, 1977). (n) A.F. Wells. Further Studies of Three-dimensional Nets, American Crystallographic Association, Monograph #8, 1st ed. (ACA Press, 1979).
    • (1969) Acta Cryst. , vol.B25 , pp. 1711
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    • The Geometrical Basis of Crystal Chemistry: Part 11
    • A.F. Wells, The Geometrical Basis of Crystal Chemistry: (a) Part 1, A.F. Wells, Acta Cryst. 7 (1954) 535. (b) Part 2, A.F. Wells, Acta Cryst. 7 (1954) 545. (c) Part 3, A.F. Wells, Acta Cryst. 7 (1954) 842. (d) Part 4, A.F. Wells, Acta Cryst. 7 (1954) 849. (e) Part 5, A.F. Wells, Acta Cryst. 8 (1955) 32. (f) Part 6, A.F. Wells, Acta Cryst. 9 (1956) 23. (g) Part 7, A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. (h) Part 8, A.F. Wells, Acta Cryst. 18 (1965) 894. (i) Part 9, A.F. Wells, Acta Cryst. B24 (1968) 50. (j) Part 10, A.F. Wells, Acta Cryst. B25 (1969) 1711. (k) Part 11, A.F. Wells, Acta Cryst. B28 (1972) 711. (l) Part 12, A.F. Wells, Acta Cryst. B32 (1976) 2619. (m) A.F. Wells, Three Dimensional Nets and Polyhedra, 1st ed. (Wiley, New York, 1977). (n) A.F. Wells. Further Studies of Three-dimensional Nets, American Crystallographic Association, Monograph #8, 1st ed. (ACA Press, 1979).
    • (1972) Acta Cryst. , vol.B28 , pp. 711
    • Wells, A.F.1
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    • The Geometrical Basis of Crystal Chemistry: Part 12
    • A.F. Wells, The Geometrical Basis of Crystal Chemistry: (a) Part 1, A.F. Wells, Acta Cryst. 7 (1954) 535. (b) Part 2, A.F. Wells, Acta Cryst. 7 (1954) 545. (c) Part 3, A.F. Wells, Acta Cryst. 7 (1954) 842. (d) Part 4, A.F. Wells, Acta Cryst. 7 (1954) 849. (e) Part 5, A.F. Wells, Acta Cryst. 8 (1955) 32. (f) Part 6, A.F. Wells, Acta Cryst. 9 (1956) 23. (g) Part 7, A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. (h) Part 8, A.F. Wells, Acta Cryst. 18 (1965) 894. (i) Part 9, A.F. Wells, Acta Cryst. B24 (1968) 50. (j) Part 10, A.F. Wells, Acta Cryst. B25 (1969) 1711. (k) Part 11, A.F. Wells, Acta Cryst. B28 (1972) 711. (l) Part 12, A.F. Wells, Acta Cryst. B32 (1976) 2619. (m) A.F. Wells, Three Dimensional Nets and Polyhedra, 1st ed. (Wiley, New York, 1977). (n) A.F. Wells. Further Studies of Three-dimensional Nets, American Crystallographic Association, Monograph #8, 1st ed. (ACA Press, 1979).
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    • Wells, A.F.1
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    • note
    • More descriptive topological indexes are sometimes used in place of Schlaefli symbols because of the need to further identify nets with the same Schlaefli symbol (n, p). For example the graphite net has the index (6, 3), which is also the index for the square-octagon plane tiling and the pentagon-heptagon plane tiling.
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    • note
    • Explicit Euler equations for 3-, 4- and 5-connected polyhedra elegantly show the existence of the 5 regular convex polyhedra and the semi-regular Archimedean polyhedra.
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    • note
    • For 1-dimension, n and p can be viewed as each being equal to 2. (2, 2) has a number of edges, E, equal to 2. For n-sided polygons, the Schlaefli symbol is (n, 2) and the number of edges, E, is properly equal to n.
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    • The Geometrical Basis of Crystal Chemistry: Part 7, eds. A.F. Wells and R.R. Sharpe, This paper reports on a modification of the Euler relation for application to 3-dimensional polyhedra. Such polyhedra are infinite in extent and are represented by the Schlaefli symbols (3, n) where n is greater than 6, and other Schlaefli symbols, some of which are identical to those of the ordinary 3-dimensional nets
    • A.F. Wells, in: The Geometrical Basis of Crystal Chemistry: Part 7, eds. A.F. Wells and R.R. Sharpe, Acta Cryst. 16 (1963) 857. This paper reports on a modification of the Euler relation for application to 3-dimensional polyhedra. Such polyhedra are infinite in extent and are represented by the Schlaefli symbols (3, n) where n is greater than 6, and other Schlaefli symbols, some of which are identical to those of the ordinary 3-dimensional nets.
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    • Cambridge University Press, Cambridge, UK, And the references therein
    • M. Wenninger, Dual Models, 1st ed. (Cambridge University Press, Cambridge, UK, 1983). And the references therein.
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    • ACA Monograph #8, 1st Ed. (ACA Press). And the references therein. Much previously unpublished material, concerned mainly with the vast topological subspace of 3-,4-connected networks, was reported in this publication. Scores of previously unknown structures, perhaps numbering more than 100, were reported. The explicit identification of structures with both fractional polygonality and fractional connectivity was made, anticipating much later work in various fields. These Wellsean structures are innumerable and their polyhedral analogs have recently been identified
    • A.F. Wells, Further Studies of Three-dimensional Nets, ACA Monograph #8, 1st ed. (ACA Press, 1979). And the references therein. Much previously unpublished material, concerned mainly with the vast topological subspace of 3-,4-connected networks, was reported in this publication. Scores of previously unknown structures, perhaps numbering more than 100, were reported. The explicit identification of structures with both fractional polygonality and fractional connectivity was made, anticipating much later work in various fields. These Wellsean structures are innumerable and their polyhedral analogs have recently been identified.
    • (1979) Further Studies of Three-dimensional Nets
    • Wells, A.F.1


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