*Publications with hyperlinks are downloadable.*

## Journal Articles

1. “Clebsch-Gordan Coefficients for Space Groups,” (with J. Zak) J. Math Phys, 9 212 – 221 (1968).

2. “Quadrupole Arrangements in Solid Hydrogen and Nitrogen,” (with J. Zak and J. Felsteiner), Phys. Rev. B3 2706 – 2716 (1971).

3. “Quadrupole Arrangements in Solid CO,” (with J. Felsteiner) Phys. Rev. B4 671 – 672 (1971).

4. “On the Decomposition of Direct Products of Irreducible Representations,” J. Math. Phys. 13 1386 – 1389. (1972).

5. “Dipole-Dipole Energy in Ferromagnetic Crystals,” Phys. Lett. 44A 487 – 488 (1972).

6. “Clebsch-Gordan Coefficients for Nonunitary Groups,” (with A. Aviran) J. Math. Phys. 14 1491 – 1494 (1973).

7. “Spin Translation Groups and Neutron Diffraction Analysis,” Acta Cryst. A29 651 – 660 (1973).

8. “Spin Groups,” (with W. Opechowski) Physica 76 538 – 554 (1974).

9. “Symmetry of the Spin Density Patterson Function,” Acta Cryst. A30 785 – 791 (1974).

10. “The Luttinger-Tisza Method,” Physica 77 205 – 219 (1974).

11. “The Molecular Replacement Method: I. The Rotation Function Problem, Application to Bovine Liver Catallase and STNV,” Acta Cryst. A31 407 – 416 (1975).

12. “The Dipole Moment Expansion for a Tetrahedral Molecule in the Ground Vibronic State,” (with I. Ozier and A. Rosenberg) J. Mol. Spec. 58 39 – 53 (1975).

13. “Van Hove Singularities,” J. Phys. C8 L411 – L412 (1975).

14. “k-q Functions and the Landau Theory of Second Order Phase Transitions,” Phys. Stat. Sol. 76 343 – 349 (1976).

15. “The Molecular Replacement Method: II. The Translation Function Problem,” Acta Cryst. A33 62 – 70 (1977).

16. “Spin Point Groups,” Acta Cryst. A33 279 – 287 (1977).

17. “Error Corrections Corrected, Remarks on Bertaut’s Article “Simple Derivation of Magnetic Space Groups” (with W. Opechowski) Ann. Phys. 2 121 – 125 (1977).

18. “Use of an Elementary Group Theoretical Method in Determining the Structure of a Biological Crystal From Its Patterson Function,” in Group Theoretical Methods in Physics,

Editors: R. T. Sharp and B. Kolman (Academic Press, New York) 1977, p. 59 – 74.

19. “Theory of the X-Ray and Optical Properties of Polysulfur Nitride,” (with W. I. Friesen and B. Bergersen) Phys. Stat. Sol. 85 715 – 722 (1978).

20. “The One-Piece Faraday Generator: A Paradoxical Experiment from 1851,” (with M. J. Cooks, P. Mathews, R. Macaulay, and J. Shaw) Am. J. Phys 46 729 – 731 (1978).

21. “Wreath Products and the Symmetry of Incommensurate Crystals,” in Annals of the Israel Physical Society, Vol. 3: Group Theoretical Methods in Physics, Editors: L. P. Horowitz

and Y. Neeman (American Institute of Physics, New York) 1980, p. 371 – 374.

22. “Wreath Groups – Symmetry of Crystals with Structural Distortions,” Phys. Rev. B21 3184 – 3192 (1980).

23. “Wreath Groups,” Physica 101A 339 – 350 (1980).

24. “Bloch Theorem for Crystals with Structural Distortions,” Group Theoretical Methods in Physics, K. B. Wolf, Editor, Lecture Notes in Physics, Vol. 135 (Springer) 1980, p. 33 – 37.

25. “Color Groups, Landau Phase Transitions and Possible Species of Ferroic Crystals,” (with J. L. Birman, R. Berenson, and J. N. Kotzev), Ferroelectrics 35 195 – 198 (1981).

26. “Tensor Fields in Crystals,” J. Math. Phys. 23 337 – 344 (1982).

27. “Fast Food Physics,” The Science Teacher 49 66 (1982); reprinted in The Crucible 13 13 (1982).

28. “Analysis of Nearly Degenerate Bands of Spherical Top Molecules: Matrix Elements of the Vibrational- Rotational Hamiltonian,” (with K. Fox) J. Chem. Phys. 76 3908 – 3912 (1982).

29. “Physical Applications of Crystallographic Color Groups: Tensor Fields in Crystals,” (with R. Berenson and J. N. Kotzev) Phys. Rev. B25 7523 – 7543 (1982).

30. “Color Groups and Phase Transitions,” (with J. N. Kotzev and J. L. Birman), Physica 114A 576 – 580 (1982).

31. “Tensor Fields in Crystals and Color Groups,” (with R. Berenson and J. N. Kotzev) Physica 114A588 – 591 (1982).

32. “Continuous Phase Transitions: Subgroups of Index N,” (with J. L. Birman), Phys. Rev. B26 5248 – 5249 (1982).

33. “On Equitranslational Phase Transitions,” J. Physics C15 L1119 – L1123 (1982).

34. “Physical Applications of Crystallographic Color Groups: Landau Theory of Phase Transitions,” (with J. N. Kotzev and J. L. Birman) Phys. Rev. B26 6947 – 6970 (1982).

35. “Group Theoretical Classification of Two-dimensional Lattice Vibrations,” Thin Solid Films 106 203-217 (1983).

36. “Compatibility Relationships for Two-Dimensional Space Groups,” J. Phys. C17 L37-L39 (1984).

37. “Tensorial Classification of Non-Magnetic Ferroic Crystals,” Acta Cryst. A40 255-261 (1984).

38. “Computer Generation of Subduction Frequencies For 2nd Order Phase Transitions,” (with S. Deonarine and J. L. Birman), in Group Theoretical Methods in Physics, Editor:

W. E. Zachary (World Scientific Press) 1985, p. 454 – 457.

39. “Tensorial Classification of Non-Magnetic Ferrioc Crystals: Tensors of Rank n # 4,” Acta Cryst. A41 89 – 90 (1985).

40. “Ferroelectric Space Groups“, Acta Cryst. A42 44 – 47 (1986).

41. “On Exomorphic Types of Phase Transitions,” (with J. Fuksa and V. Kopsky) J. Math Phys, 27 661 – 667 (1986). Supplementary Materials

42. “One-Dimensional Quasi-Crystals and Sequences of Ones and Zeros,” (with S. Y. Litvin) Physics Letters A116 39 – 43 (1986).

43. “On The Structure of a Biological Crystal Determined by its Patterson Function,” in Patterson and Pattersons, edited by J. P. Glusker, B. K. Patterson, and M. Rossi

(IUC/Oxford, Oxford) 515 – 523 (1987).

44. “Q-Reducible Two-dimensional Space Groups and Layer Groups,” (with V. Kopsky) J. Phys, A20 1655 – 1659 (1987).

45. “Symmetry and Transitions in Decagonal Quasi-Crystals,” (with V. Kopsky and J. L. Birman) in Group Theoretical Methods in Physics, edited by R. Gilmore (World Scientific, Singapore) 282 – 287 (1987).

46. “On Space Groups with Q-Reducible Point Groups” (with V. Kopsky) in Group Theoretical Methods in Physics, edited by R. Gilmore (World Scientific, Singapore) 716 – 721 (1987).

47. “Symmetry and Phase Transitions in Decagonal Quasi-Crystals” (with V. Kopsky and J. L. Birman) J. Phys. A20 6169 – 6184 (1987).

48. “Generation and Experimental Measurement of a One-Dimensional Quasi-Crystal Diffraction Pattern,” (with S. Y. Litvin and A. B. Romberger), Am. J. Phys. 56 72 – 76 (1988).

49. “Subperiodic Subgroups of Space Groups,” (with V. Janovec and V. Kopsky), Z. fur Kristallogr. 185 282 (1988).

50. “Scanning of Space Groups” (with V. Kopsky) in Group Theoretical Methods in Physics, edited by Y. Saint- Aubin and L. Vinet (World Scientific, Singapore) 263 – 266 (1989).

51. “International-Like Tables for Layer Groups,” in Group Theoretical Methods in Physics, edited by Y. Saint- Aubin and L. Vinet (World Scientific, Singapore) 274 – 277 (1989).

52. “Algebraic Construction of One-Dimensional Quasiperiodic Tilings,” J. Math. Phys. 30 740 – 743 (1989).

53. “Tensorial Classification of Domain Pairs“, (with T. R. Wike), Ferroelectrics, 98 157 – 166 (1989).

54. “The Coset and Double Coset Decomposition of the Thirty-Two Crystallographic Point Groups“, (with V. Janovec, E. Dvorakova, and T. R. Wike), Acta Cryst. A45 801 – 802 (1989). Supplementary Materials

55. “Physical Property Tensors and Tensor Pairs in Crystals,” (with S. Y. Litvin), Acta Cryst., A46 711 – 713 (1990).

56. “The Icosahedral Point Groups,” Acta Cryst., A47 70 – 73 (1991).

57. “Rank 0, 1, 2, and 3 Magnetic and Non-Magnetic Physical Property Tensors,” (with S. Y. Litvin), Acta Cryst., A47 290 – 292 (1991).

58. “Optical and X-Ray Distinction of Ferroelectric Non-Ferroelastic Domains,” (with V. Janovec and L. Richterova), Ferroelectrics, 126 287 – 292 (1992).

59. “Non-Ferroelastic Twin Laws and Distinction of Domains in Non-Ferroelastic Phases,” (with V. Janovec and L. Ricterova), Ferroelectrics, 140 95 – 100 (1993).

60. “Spatial Distribution of Layer and Rod Symmetries in a Crystal,” (with J. Fuksa, and V. Kopsky), in Group Theoretical Methods in Physics, Anales de Fisica, Monografias, Vol. 2, Editor M. A. del Olmo (CIEMAT/RSEF, Madrid) 346 – 352 (1993).

61. “LAYERGPD – A Program to Visualize the Three-Dimensional Layer Group General Position Diagrams,” (with S.Y. Litvin), J. Applied Cryst. 26 398 (1993).

62. “Nomenclature, Symbols, and Classification of the Subperiodic Groups,” (with V. Kopsky), Acta Cryst., A49 594 (1993).

63. “Tensor Distinction of Ferroelastic Domain States in Completely Transposable Domain Pairs,” (with V. Janovec and L. Ricterova), Ferroelectrics, 157 75 – 80 (1994).

64. “Non-Ferroelastic Magnetoelectric Twin Laws,” (with V. Janovec and S.Y. Litvin), Ferroelectrics, 162 275 – 280 (1994).

65. “Magnetic Physical Property Tensors,” Acta Cryst., A50 406 – 408 (1994).

66. “Magnetic Completely Transposable Twin Laws and Tensor Distinction,” (with V. Janovec and S.Y. Litvin), Acta Cryst., A51 524-529 (1995).

67. “Transposable Domain Pairs and Domain Distinction,” (with V. Janovec and J. Fuksa), Ferroelectrics, 172 351-359 (1995).

68. “Non-Magnetic Twin Laws,” (with J. Schlessman), Acta Cryst., A51 947-949 (1995).

69. “Maximal Subgroups of Magnetic Space Groups and Subperiodic Groups,” Acta Cryst., A51 681-685 (1996).

70. “Tensor Distinction of Domains Resulting from Non-Ferroelastic Transitions to Subgroups of Index n > 2,” (with V. Janovec), Ferroelectrics, 191 217-224 (1997).

71. “On Magnetic Domain Twin Symmetry,” (with V. Kopsky), Ferroelectrics, Ferroelectrics, 204 217-223 (1997).

72. “Changes in the Opechowski-Guccione Symbols for Magnetic Space Groups Due to Changes in the International Tables of Crystallography,” Ferroelectrics, 204 211-215 (1997).

73. “On Opechowski-Guccione Symbols Magnetic Space Groups Symbols,” Acta Cryst. A54 257-261 (1998).

74. “VRML General Position/Symmetry Diagrams of the 80 Layer Groups,” (with D. K. Tshudy). Journal of Applied Crystallography, 31 973 (1998).

75. “Classification of Domain Pairs and Tensor Distinction,” (with V. Janovec), Ferroelectrics, Ferroelectrics, 222 345-351 (87-93) (1999).

76. “Possible Piezoelectric Composites Based on the Flexoelectric Effect,” (with J. Fousek and L.E. Cross). Materials Letters, 29 287-291 (1999).

77. “Tensor Distinction of Domain Pairs in Ferroic Crystals,” Acta Crystallographica, A55 884-890 (1999).

78. “Magnetic Subperiodic Groups,” Acta Crystallographica A55 963-964 (1999).

79. “Subperiodic Groups Isomorphic to Factor Groups of Reducible Space Groups,” (with V. Kopsky), Acta Crystallographica A56 370-374 (2000).

80. “Tensorial Covariants and Domain State Tensors,” (with V. Kopsky), Ferroelectrics, 252 59-67 (2001).

81. “Domain Pair Symmetry Reduction Due to Disorientations,” (with V. Janovec and J. Privratska), Ferroelectrics, 252 79-87 (2001).

82. “Coset and Double Coset Decomposition of Magnetic Point Groups,” (with J. Schlessman), Acta Crystallographica, A57 114-115 (2001).

83. “Domain Geometry Engineering and Domain Average Engineering in Ferroics,” (with J. Fousek and L.E. Cross) J. Phys. Condensed Matter 13 L33-L38 (2001).

84. “Latent Symmetry and its Group Theoretical Determination,” (with V.K. Wadhawan), Acta Crystallographica, A57 435-441 (2001).

85. “Point Group Symmetries,” SPIE Proceedings 4467 322-338 (2001).

86. “Magnetic Space Group Types,” Acta Crystallographica, A57 729-730 (2001).

87. “Symmetry Relations of Magnetic Domain Pairs,” (with J. Schlessman), Acta Crystallographica, A57 731-732 (2001).

88. “Latent Symmetry,” (with V.K. Wadhawan), Acta Crystallographica, A58 75-76 (2002).

89. “Domain Average Engineering in Ferroics,” (with B. Shaparenko and J. Schlessman), Ferroelectrics, 269 9 – 14, (2002).

90. “Magnetic Point Group Symmetries of Spontaneously Polarized and/or Magnetized Domain Walls,” (with J. Privratska, B. Shaparenko, and V. Janovec), Ferroelectrics, 269, 39 – 44 (2002).

91. “Domain Configurations and Their Symmetry in Domain Average Engineered Structures,” J. Phys. Condens. Matter 15 L553-L558 (2003).

92. “Latent Symmetry and Domain Average Engineered Ferroics,” ( with D.M. Hatch and V.K. Wadhawan), Ferroelectrics, 269 65-70 (2003).

93. “VRML General Position Diagrams of the Magnetic Subperiodic Groups,” ( with N.R. Cordisco), Journal of Applied Crystallography, 37 346 (2004).

94. “On Tensor Distinction of Non-Ferroelastic Domains,” (with V. Janovec), Ferroelectrics, 303 43-46 (2004).

95. “Space Group Scanning Tables,” ( with V. Kopsky), Acta Crystallographica A60 637 (2004).

96. “Tables of Properties of Magnetic Subperiodic Groups.” Acta Crystallographica, A61 382-385 (2005).

97. “Distinction of Magnetic Non-Ferroelastic Domains.” (with V. Janovec), Acta Crystallographica, A62 98-102 (2006).

98. “VRML General Position Diagrams of Magnetic Space Groups,” ( with J.S. Burke and N.R. Cordisco), Journal of Applied Crystallography, 39 620 (2006).

99. “Scanning of Magnetic Space Groups: Analysis of Non-magnetic Domain Walls,” (with V. Janovec), Acta Crystallographica, A63 407-411 (2007).

100. “Magnetic Group Maximal Subgroups of Index <4 ,” Acta Crystallographica, A64 345-347 (2008).

101. “Ferroic Classifications Extended to Ferrotoroidic Crystals,” Acta Crystallographica, A64 316-320 (2008).

102. “Wreath Groups and Diffraction Intensity Symmetry,” International Journal of Pure and Applied Mathematics, 47 335-341 (2008).

103. “Tables of Crystallographic Properties of Magnetic Space Groups,” Acta Crystallographica, A64 419-424 (2008).

104. “About the concept and definition of “noncrystallographic symmetry,” (with M. Nespolo and B. Souvignier) , Zeit. fur Krist., 223 605-606 (2008).

105. “Property Tensors of Ferrotoroidic Domains,” Ferroelectrics, 376 158-167 (2008).

106. “Tensor Distinction of Domains in Ferroic Crystals,” European Physics Journal, B71 315-320 (2009)

107. “Ferroic Crystals and Tensor Distinction,” Phase Transitions, 83 682-693 (2010).

108. “Symmetry Allowed Atomic Displacements in a Ferroelastic Domain Wall of Rhombohedral BaTiO3,”(with V. Janovec), Phase Transitions, 84 760-768 (2011).

109. “Tensor Component distinction of Magnetic Non-Ferroelastic Domain Pairs,” Phase Transitions, 84 804-809 (2011).

110. “Rotation-reversal Symmetries in Crystals and Handed Structures,” (with V. Gopalan), Nature Materials,10 376-381 (2011).

111. “Seitz Notation for Symmetry Operations of Space Groups,” (with V. Kopsky), Acta Cryst., Acta Crystallographica A67 415-418 (2011).

112. “Double Antisymmetry and the Rotation-Reversal Space Groups,” (with B.K. VanLeeuwen & V. Gopalan), Acta Crystallographica A70 24-38 (2014).

113. “Spontaneous tensor properties for multiferroic phases,” (with V. Janovec), Ferroelectrics, 461 10-15 (2014). Supplementary Materials.

114. “On the symmetry analysis of surface induced effects,” Ferroelectrics, 460 173 – 178 (2014). Supplementary Materials

115. “On physical property tensors invariant under line groups,” Acta Crystallographica A70 138 -142 (2014). Supplementary Materials

116. “Crystallographic data on double antisymmetry space groups” ( with M. Huang, B. K. VanLeeuwen, & V. Gopalan), Acta Crystallographica, A70 373-381 (2014). Supplementary Materials (285 MB).

117. “Changes of physical properties in multiferroic phase transitions,” Acta Crystallographica, A70 382-384 (2014) Supplementary Materials.

118. “Seitz symbols for symmetry operations of subperiodic groups,” ( with V. Kopsky), Acta Crystallographica, A70 677-678 (2014). Supplementary Materials

119. “Scanning of two-dimensional space groups“, Acta Crystallographica, A71 111-113 (2015). Supplementary Materials

120. “The affine and euclidean normalizers of the subperiodic groups,” (with B. K. VanLeeuwen, P.V. De Jesus, & V. Gopalan), Acta Crystallographica, A71 150-160 (2015). Supplementary Materials

121. “Axial point groups: rank 1,2,3 and 4 property tensor tables,” Acta Crystallographica, A71 346-349 (2015). Supplementary Materials

122. “Vojtech Jaroslav Kopsky (1936-2016),” (with V. Janovec), Acta Crystallographica, A72 586-587 (2016).

## Books

1. “Character Tables and Compatibility Relations of the Eighty Layer Groups and the Seventeen Plane Groups,” (with T. R. Wike), Plenum Publishing Corporation, New York, 1991.

Re-issued by Springer Publishing in hardcover, softcover, and e-book formats, 2013.

2. “International Tables For Crystallography: Volume E: Subperiodic Group Symmetry,” (with V. Kopsky), International Union of Crystallography, Kluwer Publishing, The Netherlands, 2002.

“Complete online set of International tables for crystallograpy, Volumes A – G” edited by H. Fuess, Th. Hahn, H. Wondratschek, U. Muller, U. Shmueli, E. Prince, A. Authier, V. Kopsky, D.B. Litvin, M.G. Rossmann, E. Arnold, S. Hall, and B. McMahon. Springer, jointly published with the IUCr, 2007.

“International Tables for Crystallography: Volume E: Subperiodic Group Symmetry,:”(Second Edition) (with V. Kopsky), International Union of Crystallography, Wiley, New York, 2010.

3. “Magnetic Subperiodic Groups,” (2005), Now incorporated into “Magnetic Group Tables”, #5 below.

4. “Magnetic Space Groups,” (2008), Now incorporated into “Magnetic Group Tables”, #5 below.

5, “Magnetic Group Tables: 1- , 2- and 3-Dimensional Magnetic Subperiodic Groups and Magnetic Space Groups”, International Union of Crystallography (2013),an electronic book downloadable from the International Union of Crystallography at http://www.iucr.org/publ/978-0-9553602-2-0 and on this website.

## Chapters in Books

1. “Point Group Symmetries”, in Introduction to Complex Mediums for Optics and Electromagnetics edited by W.S. Weiglhofer and A. Lakhtakia, SPIE Press, Bellingham, U.S.A., pp 79 – 104, 2003.

2. “Relationships between space groups and subperiodic groups,” (with V. Kopsky), in International Tables for Crystallography, Volume A: Space-Group Symmetry (6th Edition), Edited by Mois I. Aroyo, International Union of Crystallogrphy, pp 136 – 139, 2016.

3. “Magnetic subperiodic groups and magnetic space groups,” in International Tables for Crystallography, Volume A: Space-Group Symmetry (6th Edition), Edited by Mois I. Aroyo, International Union of Crystallogrphy, pp 852 – 865, 2016.

## Internal Reports

1. “Nomenclature, Symbols and Classification of the Subperiodic Groups,” (with V. Kopsky), Proposal for standards submitted to and accepted by the Commission on Crystallographic Nomenclature of the International Union of Crystallography, 1992.

## Essays on Public Education

1. “Science and Engineering Suffer Neglect,” Reading Eagle, Reading, PA, June 13, 1988, page 6.

2. “Students Lack Ability to Dig Out Facts”, Reading Times, Reading, PA July 13, 1988, page 5.