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Bidyendu Mohan Deb, FASc, FNA, FTWAS

D.Phil (Oxon, 1969)
Area of Interest:
Theoretical Chemistry, Chemical Physics, Atomic and Molecular Physics
Email ID:
Research Interest:

Theoretical Chemistry, Chemical Physics, Atomic and Molecular Physics.

Academic Qualification:
  1. D.Phil. (Oxon.) in Mathematics (Research Supervisor: Late Professor C. A. Coulson)
  2. Dip. Adv. Math. (Oxon.) with specialization in Quantum Theory
  3. M.Sc. (Cal.) in Pure Chemistry with specialization in Physical Chemistry
  1. CSIR Pool-Officer, Indian Association for Cultivation of Science, Kolkata (1969-70)
  2. Lecturer in Chemistry, IIT, Bombay (1970-71)
  3. Assistant Professor in Chemistry, BITS, Pilani, Rajasthan (1971-72)
  4. Lecturer in Chemistry, IIT, Bombay (1972-73)
  5. Assistant Professor in Chemistry, IIT, Bombay (1973-78)
  6. Professor in Chemistry, IIT, Bombay (1978-84)
  7. Professor of Theoretical Chemistry, Panjab University (1984-2004)
  8. ISRO Vikram Sarabhai Research Professor (JNCASR, Bangalore) at SNBNCBS, Kolkata (2004-07)
  9. Professor, Indian Institute of Science Education and Research, Kolkata (2007 -)
Awards and Honors:
  1. Commonwealth Scholar in Mathematics at Oxford University, U.K. (1965-68)
  2. Shanti Swarup Bhatnagar Award in Chemical Sciences (CSIR) (1981)
  3. Fellow, Indian Academy of Sciences, Bangalore (1984)
  4. Fellow, Indian National Science Academy, New Delhi (1987)
  5. Sir C.V. Raman Award in Physical Sciences (UGC) (1988)
  6. Guest Scholar, Faculty of Engineering, Kyoto University, Japan, (1989)
  7. Honorary Professor, Jawaharlal Nehru Centre for Advanced Scientific Research (1992-2004)
  8. Biennial Professor S.R. Palit Memorial Award in Chemistry, IACS, Kolkata (1994-95)
  9. Federation of Indian Chambers of Commerce and Industry (FICCI) Award in Physical Sciences including Mathematics (1996)
  10. Linus Pauling Memorial Lecture, Mahatma Gandhi University, Kottayam (1996)
  11. INSA Professor Sadhan Basu Memorial Lecture (1999)
  12. Chemical Research Society of India Silver Medal (2000)
  13. Prof. R.P. Mitra Memorial Lecture, Delhi University (2000)
  14. A.V. Rama Rao Foundation Lecture, Jawaharlal Nehru Centre for Advanced Scientific Research, Bangalore (2003)
  15. Fellow, Academy of Sciences for the Developing World (TWAS), (2003)
  16. Fellow, International Union of Pure & Applied Chemistry (2010).
List of Publications:

Publications in International Journals

  1. Viscosity of liquids (with S.R. Palit), J. Indian Chem. Soc., 42, 571-572 (1965).
  2. The wonder that is laser, Science Reporter, 2, 326-331 (1965).
  3. Temperature (with S.R. Palit), Science Reporter, 3, 108-111 (1966).
  4. Molecular sieves, Sci. Cult., 32, 279-286 (1966).
  5. On the static Jahn-Teller distortion of the ground state of vanadium tetrachloride (with C.A. Coulson), Mol. Phys., 16, 545-552 (1969).
  6. On the theoretical foundations of Walsh's rules of molecular geometry in terms of Hellmann-Feynman theorem (with C.A. Coulson), Int. J. Quant. Chem., 5, 511-534 (1971).
  7. CNDO and INDO all-valence electron calculations on the geometry and properties of some interhalogens (with C.A. Coulson), J. Chem. Soc. A, 958-970 (1971).
  8. On the evaluation of three-centre Hellmann-Feynman force integrals involving Slater-type atomic orbitals, Proc. Ind. Nat. Sc. Acad. A37, 349-363 (1971).
  9. Note on an upper bound property of second derivatives of the energy, Chem. Phys. Lett., 17, 78-79 (1972).
  10. The force concept in chemistry, Rev. Mod. Phys., 45, 22-43 (1973).
  11. A simple mechanical model for molecular geometry based on the Hellmann-Feynman theorem. I. General principles and applications to AH2, AH3, AH4, HAB and ABC molecules, J. Am. Chem. Soc., 96, 2130-2044 (1974). Corrigendum, 97, 1988 (1975).
  12. Do. II. HAAB, BAAP, AB3, H2AB, B2AC molecules (with P.N. Sen and S.K. Bose), J. Am. Chem. Soc., 96, 2044-2053 (1974).
  13. The Hellmann-Feynman theorem and some of its chemical applications, Ch. IX in "Introductory Quantum Chemistry", A.K. Chandra, Tata-McGraw-Hill (1974).
  14. HOMO in molecular geometry, J. Chem. Educ., 52, 314-319 (1975).
  15. Geometry predictions for HAB2, AB5 molecules based on their highest occupied molecular orbitals (with S.K. Bose and P.N. Sen), Indian J. Pure Appl. Phys., 14, 444-452 (1976).
  16. CNDO/2 calculations on the structure and properties of chlorine difluoride (with G.D. Mahajan and V.S. Vasan), Pramana, 9, 93-102 (1977).
  17. Internal stresses in molecules. I. One-electron systems (with A.S. Bamzai), Mol. Phys., 35, 1349-1367 (1978).
  18. A link between the second-order Jahn-Teller effect and the highest occupied molecular orbital postulate for molecular shapes (with A.S. Bamzai), Pramana, 11, 191-194 (1978).
  19. Internal stresses in molecules. II. A local view of chemical binding in the H2 molecule (with A.S. Bamzai), Mol. Phys., 38, 2069-2097 (1979).
  20. On some local force densities and stress tensors in molecular quantum mechanics (with S.K. Ghosh), J. Phys. B : At. Mol. Phys., 12, 3857-3872 (1979).
  21. Origin of accidental degeneracy in ligand-field splittings of substituted octahedral complexes (with S.K. Bose and D. Mukherjee), Pramana, 13, 387-391 (1979).
  22. An INDO-MO study of the spectral properties and trans-annular interaction in (6)-helicene (with G. Kavu), Can. J. Chem., 58, 258-262 (1980).
  23. Miscallenous applications of the Hellmann-Feynman Theorem, Ch.7 in "The Force Concept in Chemistry", Ed. B.M. Deb, Van Nostrand-Reinhold, New York (1981).
  24. The role of single-particle density in Chemistry (with A.S. Bamzai), Rev. Mod. Phys., 53, 95-126 (1981). Corrigendum, 53, 593 (1981).
  25. Studies on quixotic molecules. I. Molecular Geometry,electronic structure and common properties of some hypothetical HAB molecules (with G.D. Mahajan), Ind. J. Pure Appl. Phys., 20, 360-371 (1982).
  26. Do. II. Molecular geometry, electronic structure and common properties of some hypothetical molecules belonging to AB2, AH3, AH4 and HAB2 classes (with G.D. Mahajan), Ind. J. Pure Appl. Phys., 20, 453-462 (1982).
  27. Do. III. A critical examination of seven current molecular geometry models (with G.D. Mahajan), Ind. J. Pure Appl. Phys., 20, 527-537 (1982).
  28. A study of electron relaxation in the BeH2 molecule (with G.D. Mahajan), Z. Phys. Chem., 263, 383-386 (1982).
  29. Internal stresses and chemical binding in the H2+ molecule (with A.S. Bamzai), Int. J. Quant. Chem., 20, 1315-1329 (1981).
  30. Quantum fluid dynamics of many-electron systems in three-dimensional space (with S.K. Ghosh), Int. J. Quant. Chem., 22, 871-888 (1982).
  31. Schrödinger fluid dynamics of many-electron systems in a time-dependent density-functional framework (with S.K. Ghosh), J. Chem. Phys., 77, 342-348 (1982).
  32. On the direct calculation of electron density in many-electron systems, Curr. Sci., 50, 973-976 (1981).
  33. Dynamic polarizability of many-electron systems within a time-dependent density functional theory (with S.K. Ghosh), Chem. Phys., 71, 295-306 (1982), Corrigendum, 91, 478 (1984).
  34. Densities, density functionals and electron fluids (with S.K. Ghosh), Phys. Rep., 92, 1-44 (1982).
  35. New method for the direct calculation of electron density in many-electron systems. I. Application to closed-shell atoms (with S.K. Ghosh), Int. J. Quant. Chem., 23, 1-26 (1983).
  36. A density functional calculation of dynamic dipole polarizabilities of noble-gas atoms (with S.K. Ghosh), Theoret. Chim. Acta, 62, 209-217 (1983); Corrigendum, 68, 336 (1988).
  37. A simple density functional calculation of frequency-dependent multipole polarizabilities of noble-gas atoms (with S.K. Ghosh), J. Mol. Struc. (Theochem), K. Fukui Issue, 103, 163-176 (1983).
  38. Some aspects of the role of single-particle density in chemistry, in "Local Density Approximations in Quantum Chemistry and Solid-state Physics", Eds. J.P. Dahl and J. Avery, pp. 75-128, Plenum Press, New York (1984).
  39. Quantum fluid dynamics within a relativistic density functional framework (with S.K. Ghosh), J. Phys. A17, 2463-2473 (1984); Corrigendum, A18, 187 (1985).
  40. The role of kinetic energy in density-functional theory (with P.K. Chattaraj), J. Sci. Ind. Res., 43, 238-249 (1984).
  41. Current status of theoretical chemistry in India, Curr. Sci., 53, 1061-1068 (1984).
  42. Search for an alternative density-based quantum mechanics of many-electron systems, Proc. Ind. Acad. Sc. (Chem. Sci.), 93, 965-976 (1984).
  43. A new form for the kinetic energy density functional for many-electron systems (with S. Haq and P.K. Chattaraj), Chem. Phys. Lett., 111, 79-81 (1984).
  44. Uncertainty corrections in the Thomas-Fermi theory (with P.K. Chattaraj), Chem. Phys. Lett., 121, 143-146 (1985).
  45. Improved Z-dependence of the ground-state energies of neutral atoms (with P.K. Chattaraj, A. Mukherjee and M.P. Das), Proc. Ind. Acad. Sc. (Chem. Sc.), S. Basu Issue, 96, 231-239 (1986).
  46. Comments on the correlation between the Weizsacker correction and the binding energy of diatomic molecules (with P.K. Chattaraj), Theoret. Chim. Acta, 69, 259-263 (1986).
  47. Current trends in the theories of gas-surface interactions (with H. Singh), Pramana-J. Phys., 27, 337-361 (1986).
  48. Stability analysis of finite difference schemes for quantum mechanical equations of motion (with P.K. Chattaraj and S. Rao Koneru), J. Comp. Phys., 72, 504-512 (1987).
  49. How can density functional theory be excited from the ground state (with P.K. Chattaraj), Proc. Ind. Acad. Sci. (Chem. Sc.), 99, 67-72 (1987).
  50. Quantum fluid dynamical significance of the single-particle density (with S.K. Ghosh), pp.219-284, in "The Single-Particle Density in Physics and Chemistry", N.H. March and B.M. Deb (Editors), Academic Press, London (1987).
  51. New quadratic non-differential Thomas-Fermi-Dirac-type equation for atoms (with P.K. Chattaraj), Phys. Rev., A37, 4030-4033 (1988).
  52. Generalized nonlinear Schrödinger equations in quantum fluid dynamics (with P.K. Chattaraj), in "Solitons : Introduction and Applications", pp.359-35, Ed. M. Lakshmann, Springer-Verlag, Berlin (1988).
  53. Quantum fluid density functional theory of time-dependent phenomena: Ion-atom collisions (with P.K. Chattaraj), Chem. Phys. Lett., 148, 550-556 (1988).
  54. Direct calculation of static and dynamic electron densities in many-electron systems, pp. 168-175, in "Emerging Frontiers of Chemistry", Indian National Science Academy, New Delhi (1988).
  55. Application of a new non-relativistic self-consistent-field method to heavy closed-shell atoms (with P.K. Chattaraj), J. Ind. Chem. Soc. (P.C. Ray Issue), 66, 593-595 (1989).
  56. Density functional and hydrodynamical approach to ion-atom collisions through a new generalized nonlinear Schrödinger equation (with P.K. Chattaraj), Phys. Rev. A, 39, 1696-1713 (1989).
  57. Time-dependent quantum-fluid density-functional study of high-energy proton-helium collisions (with P.K. Chattaraj and Smitarani Mishra), Phys. Rev. A, 43, 1248-1257 (1991).
  58. Phase associated with the single-particle density of many-electron systems (with N. Sukumar), Int. J. Quant. Chem., 40, 501-510 (1991).
  59. Thomas-Fermi-type method for the direct calculation of electronic densities and properties of atoms and ions (with P.K. Chattaraj), Phys. Rev. A, 45, 1412-1419 (1992).
  60. Nonlinear dynamics in proton-noble gas atom collisions, Ind. J. Chem. A (R.P. Rastogi Issue), 31 A, 483-491 (1992).
  61. A universal density criterion for correlating the radii and other properties of atoms and ions (with R. Singh and N. Sukumar), J. Mol. Struc. Theochem (C.A. Coulson Issue on Fifty Years of Valence), 259, 121-139 (1992).
  62. Simple modification of Thomas-Fermi theory (with R. Singh and R.P. Semwal), J. Phys. B: At. Mol. Opt. Phys., 26, 3447-3457 (1993).
  63. Improved local density approximation to the exchange and kinetic energy functionals for atomic systems (with S.K. Ghosh), J. Phys. B: At. Mol. Opt. Phys., 27, 381-388 (1994).
  64. Improved local density functional approach for atomic systems (with S.K. Ghosh), Int. J. Quant. Chem., 51, 79-85 (1994).
  65. Local scaling transformation function and atomic shell structure in density functional theory (with Bijoy Kr. Dey), Pramana-J. Phys., 42, 149-157 (1994).
  66. QUEST: Quality university education for scientific talent, Soc. Sc. Res. J., 2, 15-23 (1993). Reprinted in Curr. Sc., 67, 427-431 (1994).
  67. Lattice Gas Automata: A tool for exploring dynamical processes (with H. Singh and S. Singh), Proc. Indian Acad. Sc. (Chem. Sc.), Special Issue on Theoretical Chemistry, 106, 539-551 (1994).
  68. A simple approach for the direct calculation of electron density bypassing the Schrödinger equation, J. Indian Inst. Sc. (Invited article), 74, 553-567 (1994).
  69. Excited-state density functional calculations on the helium isoelectronic sequence (with Ranbir Singh), Proc. Indian Acad. Sc. (Chem. Sc.), C.N.R. Rao Issue, 106, 1321-1328 (1994).
  70. Time-dependent quantum fluid dynamics of the photoionization of He atom under an intense laser field (with Bijoy Kr. Dey), Symposium on Thirty years of Density Functional Theory, 1994, Int. J. Quant. Chem., 56, 707-732 (1995).
  71. "Atom" as a complex system: One- and twodimensional cellular automata simulations (with H. Singh and N. Sukumar), Int. J. Quant. Chem. (R. McWeeny Issue), 60, 21-28 (1995).
  72. Density Functional calculation of complex atomic spectra (with Ranbir Singh), J. Mol. Struc. Theochem (Special Issue on Theoretical Chemistry in India), 361, 33-39 (1996).
  73. Density Functional calculation for doubly excited autoionizing states of helium atom (with Ranbir Singh), J. Chem. Phys., 104, 5892-5897 (1996).
  74. Helium atom in intense and superintense laser fields: A new theoretical approach (with Bijoy Kr. Dey), Pramana-J. Phys., 48, L849-L858 (1997).
  75. Universal density functional approach to the calculation of correlation energies of atoms (with S.K. Ghosh and A. Samanta), Int. J. Quant. Chem., 62, 461-465 (1997).
  76. Density functional calculations on triply excited states of lithium isoelectronic sequence (with Amlan K. Roy and Ranbir Singh), Int. J. Quant. Chem., 65, 317-332 (1997).
  77. Density functional calculations for doubly excited states of He, Li+, Be++ and B+++ (with Amlan K. Roy and Ranbir Singh), J. Phys. B: At. Mol. Opt. Phys., 30, 4763-4782 (1997).
  78. Atomic inner-shell transitions: A density functional approach (with Amlan K. Roy), Phys. Lett. A, 234, 465-471 (1997).
  79. A theoretical study of the high-order harmonics of a 200 nm laser from H2 and HeH+ (with Bijoy Kr. Dey), Chem. Phys. Lett., 267, 157-163 (1997).
  80. Electrons in molecules, Resonance, 2(12), 66-76 (1997).
  81. Stripped ion-helium atom collision dynamics within a time-dependent quantum fluid density functional theory (with Bijoy Kr. Dey), Int. J. Quant. Chem., 67, 251-271 (1998).
  82. Density functional calculations on neon satellites (with Amlan K. Roy), Chem. Phys. Lett., 292, 461-466 (1998).
  83. Femtosecond quantum fluid dynamics of helium atom under an intense laser field (with Bijoy Kr. Dey), Int. J. Quant. Chem., 70, 441-474 (1998).
  84. Density functional calculations on lowlying singly excited states of open-shell atoms (with Ranbir Singh and Amlan K. Roy), Chem. Phys. Lett., 296, 530-536 (1998).
  85. Developments in excited-state density functional theory (with Ranbir Singh), Phys. Rep., 311, 47-94 (1999).
  86. Direct ab-initio calculation of ground-state electron densities and energies of atoms and molecules through a single, time-dependent hydrodynamical equation (with Bijoy Kr. Dey), J. Chem. Phys., 110, 6229-6239 (1999).
  87. Direct calculation of ground-state electronic densities and properties of noble gas atoms through a single time-dependent hydrodynamical equation (with Amlan K. Roy and Bijoy Kr. Dey), Chem. Phys. Lett., 308, 523-531 (1999).
  88. A nonlinear quantum mechanical equation of motion for many-electron systems (with Amlan K. Roy), in "Nonlinear Phenomena in Physical and Biological Sciences", pp. 947-987, Eds. S.K. Malik, M.K. Chandrasekharan and N. Pradhan, INSA, New Delhi (2000).
  89. A density functional calculation of Ar++(3s23p3nl) satellite states (with Vikas and Amlan K. Roy), in Special Issue on Contemporary Theoretical Chemistry Research in India, Ind. J. Chem., 39A, 32-39 (2000).
  90. Nonlinear oscillators in quantum mechanics (with Neetu Gupta, Amita Wadehra and Amlan K. Roy), in "Recent Advances in Atomic and Molecular Physics", pp. 14- 31, Ed. R. Srivastava, Phoenix Publ., New Delhi (2001).
  91. Time-dependent quantum-mechanical calculation of ground and excited states of anharmonic and double-well oscillators (with Amlan K.Roy and Neetu Gupta), Phys.Rev. A, 65, 012109/1-7 (2002).
  92. Interaction of atoms with intense laser fields (with Vikas)(Acharya J.C.Ghosh Memorial Lecture), J.Indian Chem. Soc., 79, 308-319 (2002).
  93. One-dimensional multiple-well oscillators: A time-dependent quantum mechanical approach (with Neetu Gupta and Amlan K.Roy), Pramana-J.Phys., 59, 575-583 (2002).
  94. Ground and excited states of one-dimensional self-interacting nonlinear oscillators through time-dependent quantum mechanics (with Amita Wadehra and Amlan K.Roy), Int. J. Quantum Chem., 91, 597-606 (2003).
  95. Electron in one-dimensional symmetric and asymmetric double-well potentials under intense/superintense laser fields: A numerical study based on time-dependent Schrödinger equation (with Amita Wadehra and Vikas), J.Chem.Phys., 119, 6620-6628 (2003).
  96. Ground-state electronic energies and densities of atomic systems in strong magnetic fields through a time-dependent hydrodynamical equation (with Vikas), Int.J.Quantum Chem. 97, 701-712 (2004). Erratum, Int. J. Quantum Chem. 108, 820 (2007).
  97. A numerical study of time-dependent Schrödinger equation for multiphoton vibrational interaction of NO molecule, modelled as Morse oscillator, with intense far-infrared femtosecond lasers (with Amita Wadehra), Proc.Indian Acad.Sc.Chem.Sc. (C.N.R.Rao Festschrift), 115, 349-364 (2003). Erratum, J. Chem. Sci. 116, 129 (2004).
  98. Low-lying states of two-dimensional double-well potentials (with A.K. Roy and A.J. Thakkar), J. Phys. A : Math. Gen. 38, 2189-2199 (2005).
  99. Electron density changes and high harmonics generation in H2 molecule under intense laser fields (with A. Wadehra), Eur. Phys. J. D 39, 141-155 (2006).
  100. Quantum dynamics of an electron moving in coupled quartic and coupled double-well oscillators under intense laser fields (with N. Gupta), Chem. Phys. 327, 351-360 (2006).
  101. Chemical sciences education at the M.Sc. level : What do we want and how do we go about it, Curr. Sc. 91, 267-268 (2006).
  102. Does the classically chaotic Henon-Heiles oscillator exhibit quantum chaos under intense laser fields? (with N. Gupta), Pramana-J. Phys. 67, 1055-1071 (2006).
  103. One-dimensional non-linear oscillators as models for atoms and molecules under intense laser fields (with A. Wadehra), in Current Topics in Atomic, Molecular and Optical Physics, pp. 21-33, edited by C. Sinha and S. S. Bhattacharya, World Scientific, Singapore (2007).
  104. A computational study of the interaction of [7]-helicene with alkali cations and benzene (with S. Saini), Indian J. Chem. 46A, 9-15 (2007).
  105. A method for studying electron-density-based dynamics of many-electron systems in scaled cylindrical coordinates (with A. Poddar), J. Phys. A : Math. Theor. 40, 5981 - 5993 (2007).
  106. Time-dependent quantum fluid density functional theory of hydrogen molecule under intense laser fields (with A. Wadehra), J. Chem. Sci. (Special Issue on Theoretical Chemistry Symposium 2006) 119, 335 - 341 (2007).
  107. Prediction of new organo-noble gas compounds by ab initio quantum chemical calculations (with A. Sethi), Indian J. Chem. 46A, 1565 - 1572 (2007). Corrigendum, 46A, 1978 (2007).
  108. Aspects of electron dynamics in a helium atom under an intense laser field (with M. Sadhukhan), Indian J. Phys. (Special Issue on Atomic and Molecular Physics) 81(10), 969 - 981 (2007).
  109. An integrated and open-ended experiment; Study of chemical waves in time and space (with M. Sadhukhan, S.S. Sinha, S. Sengupta and R. Biswas), Resonance 13 (1), 54 - 80 (2008).
  110. Concepts in electron density, in Theory of Chemical Reactivity, edited by P. K. Chattaraj, Taylor & Francis, CRC Press, (2009).
  111. Variations in electron density and bonding in the lowest 1Σg state of H2 molecule under strong magnetic fields by using a time-dependent density functional theory (with M. Sadhukhan), J. Mol. Struc. THEOCHEM (Special Issue on Conceptual DFT), 943, 65 - 70 (2010).
  112. Dynamics of hydrogen atom under a strong, time-dependent magnetic field (with M. Sadhukhan and P. K. Panigrahi), Eur. Phys. Lett., 91, 23001 (2010).
  113. M. Sadhukhan and B. M. Deb, A dynamical signature of quantum chaos in hydrogen atom under strong, oscillating magnetic fields, Eur. Phys. Lett., 94, 50008 (2011).
  114. A. Wadehra and B. M. Deb, Use of an intense microwave laser to dissociate a diatomic molecule : Theoretical prediction of dissociation dynamics, J. Chem. Sc. (Special Issue on Theoretical Chemistry), accepted for publication (2011).

Other Publications

  1. On the anatomy of youth frustration in West Bengal, Science Association Club Magazine, Indian Association for the Cultivation of Science, Calcutta, October (1969).
  2. Bengali translation of C.A. Coulson's article "Laboratories or Computers - the future of experimental chemistry" (with L. Kundu), Gaveshana, 2, 73-77 (1970).
  3. Science crossword puzzle, Science Reporter, December (1972). Author's name corrected in June 1973.
  4. Ray of Sunshine, Film Club Magazine, IIT Bombay, pp. 26-36 (1975).
  5. Satyajit Ray as artist and man, Quest (Incorporating Humanist Review), No. 96, pp.63-67 (1975).
  6. A new approach to the M.Sc. Curriculum in Chemistry at Indian Universities (with V. Krishnan and A.B. Biswas), Sci. Cult., 42, 462-467 (1976).
  7. Teaching, innovation and assessment in University Chemical Education (with B.K. Sabata and A.B. Biswas), J. Higher educ., 2 (1), 19-31 (1976).
  8. Chemical oscillations as an undergraduate experiment, J. Chem. Educ., 54, 236-237 (1977).