Department Publications

2000s

2007

94. Order parameters for phase transitions to structures with one-dimensional incommensurate modulations

    Harold T. Stokes, Branton J. Campbell, and Dorian M. Hatch

    Acta Crystallogr. Sect. A 63, 365-373 (2007).
    
95. Bilayer sliding mechanism for the wurtzite-to-rocksalt transition

    Harold T. Stokes, Jesse Gunter^†, Dorian M. Hatch, Jianjun Dong, Hao Wang^†, and James P. Lewis

    Phys. Rev. B 76 (1), 012102 (2007).
    

2006

92. ISODISPLACE: a web-based tool for exploring structural distortions

    Branton J. Campbell, Harold T. Stokes, David E. Tanner^‡, and Dorian M. Hatch

    J. Appl. Crystallogr. 39, 607-614 (2006).
    
93. Mesoscopic domain average engineering simulations of ferroelectric perovskites compared with multidomain group theoretical predictions

    J. Brandon Keith^‡ and Dorian M. Hatch

    J. Appl. Phys. 100 (3), 033526 (2006).
    

2005

90. Systematic pathway generation and sorting in martensitic transformations: Titanium alpha to omega

    D. R. Trinkle, D. M. Hatch, H. T. Stokes, R. G. Hennig, and R. C. Albers

    Phys. Rev. B 72 (1), 014105 (2005).
    
91. Bilayer sliding mechanism for the zinc-blende rocksalt transition in SiC

    Dorian M. Hatch, Harold T. Stokes, Jianjun Dong, Jesse Gunter^†, Hao Wang^†, and James P. Lewis

    Phys. Rev. B 71 (18), 184109 (2005).
    
92. FINDSYM: program for identifying the space-group symmetry of a crystal

    Harold T. Stokes and Dorian M. Hatch

    J. Appl. Crystallogr. 38 (1), 237-238 (2005).
    

2004

87. Mechanisms for the reconstructive phase transition between the B1 and B2 structure types in NaCl and PbS

    Harold T. Stokes, Dorian M. Hatch, Jianjun Dong, and James P. Lewis

    Phys. Rev. B 69 (17), 174111 (2004).
    

2003

86. Allowed mesoscopic point group symmetries in domain average engineering of perovskite ferroelectric crystals

    D. M. Hatch, H. T. Stokes, and W. Cao

    J. Appl. Phys. 94 (8), 5220-5227 (2003).
    
87. Proper ferroelastic transitions in two dimensions: Anisotropic long-range kernels, domain wall orientations, and microstructure

    Dorian M. Hatch, Turab Lookman, Avadh Saxena, and Subodh R. Shenoy

    Phys. Rev. B 68 (10), 104105 (2003).
    
88. New mechanism for the alpha to omega martensitic transformation in pure titanium

    D. R. Trinkle, R. G. Hennig, S. G. Srinivasan, D. M. Hatch, M. D. Jones, H. T. Stokes, R. C. Albers, and J. W. Wilkins

    Phys. Rev. Lett. 91 (2), 025701 (2003).
    
89. Symmetry of possible average multidomain structures at a phase transition

    Harold T. Stokes and Dorian M. Hatch

    Ferroelectrics 292, 59-63 (2003).
    
90. Latent symmetry and domain average engineered ferroics

    D. B. Litvin, V. K. Wadhawan, and D. M. Hatch

    Ferroelectrics 292, 65-70 (2003).
    
91. The Bilbao Crystallographic Server

    E. Kroumova, C. Capillas, M. I. Aroyo, J. M. Perez-Mato, S. Ivantchev, G. Madariaga, … H. T. Stokes, and D. M. Hatch (2 other authors)

    Group 24: Physical and Mathematical Aspects of Symmetries. 24th International Colloquium on Group Theoretical Methods in Physics, (July 2002, Paris, France). IOP Conference Proceedings 173, 383-386 (2003).
    
92. INVARIANTS: program for obtaining a list of invariant polynomials of the order-parameter components associated with irreducible representations of a space group

    D. M. Hatch and H. T. Stokes

    J. Appl. Crystallogr. 36, 951-952 (2003).
    
93. SYMMODES: a software package for group-theoretical analysis of structural phase transitions

    C. Capillas, E. Kroumova, M. I. Aroyo, J. M. Perez-Mato, H. T. Stokes, and D. M. Hatch

    J. Appl. Crystallogr. 36, 953-954 (2003).
    

2002

78. Group-theoretical analysis of octahedral tilting in ferroelectric perovskites

    Harold T. Stokes, Erich H. Kisi, Dorian M. Hatch, and Christopher J. Howard

    Acta Crystallogr. Sect. B 58, 934-938 (2002).
    
79. Antiferrodistortive phase transition in Pb(Ti0.48Zr0.52)O-3: Space group of the lowest temperature monoclinic phase

    D. M. Hatch, H. T. Stokes, R. Ranjan, Ragini, S. K. Mishra, D. Pandey, and B. J. Kennedy

    Phys. Rev. B 65 (21), 212101 (2002).
    
80. Procedure for obtaining microscopic mechanisms of reconstructive phase transitions in crystalline solids - art. no. 144144

    Harold T. Stokes and Dorian M. Hatch

    Phys. Rev. B 65 (14), 144114 (2002).
    
81. Orientational twins in an improper ferroelastic phase transition driven by the M-5(-) zone-boundary phonon in RAg1-xInx

    Dorian M. Hatch, Wenwu Cao, and Avadh Saxena

    Phys. Rev. B 65 (9), 094110 (2002).
    
82. Nucleation in Systems with Elastic Forces

    W. Klein, T. Lookman, A. Saxena, and D. M. Hatch

    Phys. Rev. Lett. 88 (8), 085701 (2002).
    
83. Analysis of the ferroelectric phase transition in BaAl2O4 by group theoretical methods and first-principles calculations

    H. T. Stokes, C. Sadate, D. M. Hatch, L. L. Boyer, and M. J. Mehl

    Phys. Rev. B 65 (6), 064105 (2002).
    
84. Complete listing of order parameters for a crystalline phase transition: A solution to the generalized inverse Landau problem

    Dorian M. Hatch and Harold T. Stokes

    Phys. Rev. B 65 (1), 014113 (2002).
    
85. New approach to nonlinear dynamics of fullerenes and fullerites

    G. M. Chechin, O. A. Lavrova, V. P. Sakhnenko, H. T. Stokes, and D. M. Hatch

    Phys. Solid State 44 (3), 581-584 (2002).
    
86. COPL: program for obtaining a complete list of order parameters for a group-subgroup crystalline phase transition

    H. T. Stokes and D. M. Hatch

    J. Appl. Crystallogr. 35, 379 (2002).
    

2001

69. Systematics of group-nonsubgroup transitions: Square to triangle transition

    D. M. Hatch, T. Lookman, A. Saxena, and H. T. Stokes

    Phys. Rev. B 64 (6), 060104 (2001).
    
70. Antiphase structures of an improper ferroelastic phase transition driven by an M-5 zone boundary phonon in RAg1-xInx

    Wenwu Cao, Avadh Saxena, and Dorian M. Hatch

    Phys. Rev. B 64 (2), 024106 (2001).
    
71. A symmetry comparison of orientation-twin and antiphase domain walls in Pb-3(VO4)(2)

    R. A. Hatt^† and D. M. Hatch

    J. Phys.: Condens. Matter 13 (13), 3111-3121 (2001).
    

2000

66. Non-linear normal modes for systems with discrete symmetry

    George M. Chechin, Vladimir P. Sakhnenko, Harold T. Stokes, Anthony D. Smith^†, and Dorian M. Hatch

    Int. J. Non-Linear Mech. 35 (3), 497-513 (2000).
    

1990s

1999

65. Landau theory of structural transformations in titanium-nickel and gold-cadmium alloys

    G. R. Barsch, T. Ohba, and D. M. Hatch

    Mater. Sci. Eng. A 273, 161-165 (1999).
    
66. Order Parameter profiles in ferroic phase transitions

    R. A. Hatt^† and D. M. Hatch

    Ferroelectrics 226 (1-4), 61-78 (1999).
    
67. Determination of domain and domain wall formation at ferroic transitions

    D. M. Hatch and W. Cao

    Ferroelectrics 222 (1-4), 1-10 (1999).
    
68. C-60 and the icosahedral group I-h: Simplification methods and group-theoretical applications

    Weiler R. Hurren and Dorian M. Hatch

    Phase Transit. 69 (3), 363-394 (1999).
    

1997

61. Systematic approach to the study of domain twins in ferroic phase transitions

    D. M. Hatch, R. A. Hatt^†, and H. T. Stokes

    Ferroelectrics 191 (1), 29-35 (1997).
    

1996

60. Systematic technique for the study of interphase boundaries in structural phase transitions

    D. M. Hatch, P. Hu^†, A. Saxena, and G. R. Barsch

    Phys. Rev. Lett. 76 (8), 1288-1291 (1996).

1995

59. Landau-Ginzburg model of interphase boundaries in CsCl-type ferroelastics due to M(5)(-) mode instability: LaAg1-xInx

    D. M. Hatch, P. Hu^†, A. Saxena, and G. R. Barsch

    J. Phys. IV 5 (C8), 131-136 (1995).

1994

58. Molecular-dynamics simulations of some BaXF4 compounds

    John Flocken, Z. Mo, W. N. Mei, J. R. Hardy, and Dorian M. Hatch

    Phys. Rev. B 49 (9), 5811-5816 (1994).
    
59. The α-β phase transition in AlPO₄ cristobalite: Symmetry analysis, domain structure and transition dynamics

    Dorian M. Hatch, Subrata Ghose, and John L. Bjorkstam

    Phys. Chem. Miner. 21 (1-2), 67-77 (1994).
    
60. Lattice dynamics representation theory versus isotropy subgroup method with application to M5 mode instability in CsCl structure

    A. Saxena, G. R. Barsch, and D. M. Hatch

    Phase Transit. 46 (2), 89-142 (1994).
    

1993

55. Use of Raman spectroscopy in characterizing soft x-ray multilayers: tools in understanding structure and interfaces

    Ming Cai^†, Qi Wang^†, David D. Allred, Larry V. Knight, Dorian M. Hatch, Arturo Reyes-Mena, and Guizhong Zhang

    24th Annual Boulder Damage Symposium Proceedings -- Laser-Induced Damage in Optical Materials, (September 1992, Boulder, CO). Proc. SPIE 1848, 521 (1993).
    
56. Landau, Lifshitz, and weak Lifshitz conditions in the Landau theory of phase-transitions in solids

    Harold T. Stokes, Dorian M. Hatch, and H. Mark Nelson

    Phys. Rev. B 47 (14), 9080-9083 (1993).
    
57. Ferroelastic phase-transition in cryolite, na3alf6, a mixed fluoride perovskite - high-temperature single-crystal x-ray-diffraction study and symmetry analysis of the transition mechanism

    Hexiong Yang, Subrata Ghose, and Dorian M. Hatch

    Phys. Chem. Miner. 19 (8), 528-544 (1993).

1992

52. Raman Spectroscopic Analysis of Mo/Si Multilayers

    David D. Allred, Ming Cai^†, Qi Wang^†, Dorian M. Hatch, and A. Reyes-Mena

    J. X-ray Sci. Technol. 3 (3), 222-228 (1992).
    

1991

51. Group-theoretical methods for obtaining distortions in crystals - applications to vibrational-modes and phase-transitions

    Harold T. Stokes, Dorian M. Hatch, and James D. Wells^†

    Phys. Rev. B 43 (13), 11010-11018 (1991).
    
52. Coupled order parameters in the landau theory of phase-transitions in solids

    Harold T. Stokes and Dorian M. Hatch

    Phase Transit. 34 (1-4), 53-67 (1991).
53. The α-β phase transition in cristobalite, SiO₂

    Dorian M. Hatch and Subrata Ghose

    Phys. Chem. Miner. 17 (6), 554-562 (1991).
    
54. Paraelectric-antiferroelectric phase-transition in titanite, CaTiSiO₅

    Subrata Ghose, Yoshiaki Ito, and Dorian M. Hatch

    Phys. Chem. Miner. 17 (7), 591-603 (1991).
    

1990

47. Phase transitions in leucite, KAISi2O6

    Dorian M. Hatch, Subrata Ghose, and Harold T. Stokes

    Phys. Chem. Miner. 17 (3), 220-227 (1990).
48. Group theoretical description of phase-transitions in solid bromoform

    Dorian M. Hatch and Harold T. Stokes

    J. Phys.: Condens. Matter 2 (5), 1121-1128 (1990).
    
49. Phase transition in K₂Cd₂(SO₄)₃: Order parameter and microscopic distortions

    Dorian M. Hatch, Johanne I. Artman, and Juliana Boerio-Goates

    Phys. Chem. Miner. 17 (4), 334-343 (1990).
    

1980s

1989

44. Silent soft mode in hexagonal barium-titanate observed by hyper-raman scattering - comment

    Dorian M. Hatch and Harold T. Stokes

    Phys. Rev. B 40 (6), 4198-4200 (1989).
    
45. Phase-transitions in the perovskite-like a2bx4 structure

    Dorian M. Hatch, Harold T. Stokes, K. S. Aleksandrov, and S. V. Misyul

    Phys. Rev. B 39 (13), 9282-9288 (1989).
    
46. Phase transitions in the grandite garnets

    Dorian M. Hatch and Dana T. Griffen
    
47. Symmetry analysis of the phase transition and twinning in MgSiO, garnet: Implications to mantle mineralogy

    Dorian M. Hatch and Subrata Ghose

    Am. Mineral. 74 (9), 1221-1224 (1989).
    
48. Phase transitions in ilvaite, a mixed-valence iron silicate

    Subrata Ghose, Katsuhiro Tsukimura, and Dorian M. Hatch

    Phys. Chem. Miner. 16 (5), 483-496 (1989).
    
49. A dynamical model for the I1¯−P1¯ phase transition in anorthite, CaAl2Si2O8

    Dorian M. Hatch and Subrata Ghose

    Phys. Chem. Miner. 16 (6), 614-620 (1989).
    

1988

38. Space Group Representations Induced by Local Site Symmetries

    D. M. Hatch, H. T. Stokes, and R. M. Putnam^†

    Group Theoretical Methods in Physics, edited by H. D. Doebner, J. D. Hennig, and T. D. Palev (Springer, New York, 1988), pp. 326-333.

1987

37. Classification of octahedral tilting phases in the perovskitelike a2bx4 structure

    Dorian M. Hatch and Harold T. Stokes

    Phys. Rev. B 35 (16), 8509-8516 (1987).
    
38. Symmetry analysis of the microstructure and phase-transitions of a crystallographic space group - applications

    Dorian M. Hatch, Harold T. Stokes, and Rand M. Putnam^†

    Phys. Rev. B 35 (10), 4935-4942 (1987).
    
39. Systematic Classification of Symmetry Changes in Solid-Solid Phase Transitions

    D. M. Hatch and H. T. Stokes

    Computer Modeling of Phase Diagrams, edited by L. H. Bennett (Metallurgical Society, Warrendale, Pennsylvania, 1986), pp. 145-162.
    
40. Isotropy Subgroups for Reducible Representations of Space Groups

    D. M. Hatch and H. T. Stokes

    XV International Colloquium on Group Theoretical Methods in Physics, edited by R. Gilmore (World Scientific, Singapore, 1987), pp.~710-715.
41. Images of physically irreducible representations of the 230 space-groups

    Harold T. Stokes, Dorian M. Hatch, and Jai Sam Kim

    Acta Crystallogr. Sect. A 43, 81-84 (1987).
    
42. Continuous solid-solid phase-transitions driven by an 8-component order parameter - hamiltonian densities and renormalization-group theory

    Harold T. Stokes, Jai Sam Kim, and Dorian M. Hatch

    Phys. Rev. B 35 (1), 388-390 (1987).
    

1986

31. Images, landau expansions, and symmetry changes

    Serge Galam and Dorian M. Hatch

    Phys. Rev. B 34 (11), 7813-7815 (1986).
    
32. Irrelevant variables, landau expansions, and cubic anisotropy - comment

    Dorian M. Hatch and Harold T. Stokes

    Phys. Rev. B 33 (11), 7811-7812 (1986).
    
33. Renormalization-group classification of continuous structural phase-transitions induced by 6-component order parameters

    Dorian M. Hatch, Jai Sam Kim, Harold T. Stokes, and Jeffrey W. Felix

    Phys. Rev. B 33 (9), 6196-6209 (1986).
    
34. Classification of continuous phase-transitions and stable phases .2. 4-dimensional order parameters

    Jai Sam Kim, Harold T. Stokes, and Dorian M. Hatch

    Phys. Rev. B 33 (9), 6210-6230 (1986).
    
35. Classification of continuous phase-transitions and stable phases .1. 6-dimensional order parameters

    Jai Sam Kim, Dorian M. Hatch, and Harold T. Stokes

    Phys. Rev. B 33 (3), 1774-1788 (1986).
    
36. Phase transitions and renormalization group hamiltonian densities in the 80 diperiodic space groups

    Dorian M. Hatch and Harold T. Stokes

    Phase Transit. 7 (2-3), 87-279 (1986).
    

1985

25. Active representations in crystals of cubic symmetry

    D. M. Hatch and H. T. Stokes

    Phys. Status Solidi B 130 (1), 79-86 (1985).
    
26. Ferroelectric Transitions in Diperiodic Systems

    Dorian M. Hatch and Harold T. Stokes

    Jpn. J. Appl. Phys. 24, 173-175 (1985).
    
27. Selection of stable fixed-points by the toledano-michel symmetry criterion - 6-component example

    Dorian M. Hatch, Harold T. Stokes, Jai Sam Kim, and Jefferey W. Felix ^†

    Phys. Rev. B 32 (11), 7624-7627 (1985).
    
28. Practical algorithm for identifying subgroups of space-groups

    Dorian M. Hatch and Harold T. Stokes

    Phys. Rev. B 31 (5), 2908-2912 (1985).
    
29. Phase-transitions in solids of diperiodic symmetry

    Dorian M. Hatch and Harold T. Stokes

    Phys. Rev. B 31 (7), 4350-4354 (1985).
    
30. Equivalence among isotropy subgroups of space-groups

    Harold T. Stokes and Dorian M. Hatch

    Phys. Rev. B 31 (11), 7462-7464 (1985).
    
31. Example of a group action determined phase-transition

    J. W. Felix^† and D. M. Hatch

    J. Chem. Phys. 82 (3), 1496-1503 (1985).
    
32. A generalized molien function for field theoretical hamiltonians

    Jeffrey W. Felix^† and Dorian M. Hatch

    J. Math. Phys. 26 (7), 1442-1445 (1985).
    
33. Systematic classification of symmetry changes in solid-solid phase-transitions

    Dorian M. Hatch and Harold T. Stokes

    Computer Modeling of Phase Diagrams, edited by L. H. Bennett (Metallurgical Society, Warrendale, Pennsylvania, 1986), pp.~145-162.

1984

16. Group Theoretical Methods in Physics

    Dorian M. Hatch and Harold T. Stokes

    Group Theoretical Methods in Physics, ed. W.W. Zachary (World Scientific, Singapore, 1984) pg. 427.
17. Isotropy group description of a phase-transition in nano3

    W. Scott Stornetta^‡ and Dorian M. Hatch

    J. Chem. Phys. 80 (11), 5745-5750 (1984).
    
18. Isotropy groups of space-groups - a simple method for their determination

    Dorian M. Hatch

    Group Theoretical Methods in Physics, XIIth International Colloquium, (September 1983, Trieste, Italy). Lecture Notes in Phys. 201, 390-393 (1984).
    
19. Model for the ordered phases in KCN and NaCN

    Harold T. Stokes and Dorian M. Hatch

    Phys. Rev. B 30 (7), 3845-3858 (1984).
    
20. Group-subgroup structural phase-transitions - a comparison with existing tables

    Harold T. Stokes and Dorian M. Hatch

    Phys. Rev. B 30 (9), 4962-4967 (1984).
    
21. Symmetry-restricted phase-transitions in two-dimensional solids

    Dorian M. Hatch and Harold T. Stokes

    Phys. Rev. B 30 (9), 5156-5166 (1984).
    
22. New fluctuation-induced 1st-order antiferrodistortive phase-transitions

    Jeffrey W. Felix^† and Dorian M. Hatch

    Phys. Rev. Lett. 53 (25), 2425-2428 (1984).
    

1982

9. Ground states and the nature of a phase transition in a simple cubic fully frustrated Ising model

   S. T. Chui, G. Forgacs, and D. M. Hatch

   Phys. Rev. B 25 (11), 6952-6958 (1982).
   

1981

8. Order Parameter Symmetry for the β–γ Transition in Pb3(VO4)2

   Dorian M. Hatch

   Phys. Status Solidi B 106 (2), 473-479 (1981).
9. Landau free-energy form at the f point of the r3c structure

   Dorian M. Hatch and Daniel L. Decker

   J. Chem. Phys. 74 (4), 2518-2522 (1981).
   
10. Landau description of the calcite-CaCO3(II) phase-transition

    Dorian M. Hatch and Leo Merrill

    Phys. Rev. B 23 (1), 368-374 (1981).
    
11. Structural phase transitions in crystals of R3c symmetry

    Dorian M. Hatch

    Phys. Rev. B 23 (5), 2346-2349 (1981).
    

1970s

1975

4. Measurements on a spherical electrostatic confinement system employing 6 ion guns

   Andrew L. Gardner, Dorian M. Hatch, A. I. Y. Chan^†, and Robert P. Evans^†

   Ann. NY Acad. Sci. 251, 179-189 (1975).
   
5. Selected stable states in large quantum systems

   Dorian M. Hatch

   Int. J. Quantum Chem. 9 (4), 649-655 (1975).
6. Further link(s) with inequivalent representations in quantum field-theory

   Alvin K. Benson^† and Dorian M. Hatch

   Int. J. Theor. Phys. 12 (5), 321-332 (1975).

1973

1. Microscopic mechanism for macroscopic asymmetry of ferromagnetism

   Alvin K. Benson^† and Dorian M. Hatch

   Phys. Rev. B 8 (9), 4410-4415 (1973).
   

^‡Undergraduate Student Author

^†Graduate Student Author