On the semiclassical approach to cold atomic collisions

We extend the semiclassical description of two-state atomic collisions to low energies for which the impact parameter treatment fails. The problem reduces to solving a system of first-order differential equations with coefficients whose semiclassical asymptotes experience the Stokes phenomenon in the complex coordinate plane. Primitive semiclassical and uniform Airy approximations are discussed.

An exactly solvable four transition point model

Heavy particle collisions, in particular low-energy ion-atom collisions, are amenable to semiclassical JWKB phase integral analysis in the complex plane of the internuclear separation. Analytic continuation in this plane requires due attention to the Stokes phenomenon which parametrizes the physical mechanisms of curve crossing, non-crossing, the hybrid Nikitin model, rotational coupling and predissociation. Complex transition points represent adiabatic degeneracies. In the case of two or more such points, the Stokes constants may only be completely determined by resort to the so-called comparison- equation method involving, in particular, parabolic cylinder functions or Whittaker functions and their strong-coupling asymptotics. In particular, the Nikitin model is a two transition-point one-double-pole problem in each half-plane corresponding to either ingoing or outgoing waves. When the four transition points are closely clustered, new techniques are required to determine Stokes constants. However, such investigations remain incomplete, A model problem is therefore solved exactly for scattering along a one-dimensional z-axis. The energy eigenvalue is b(2)-a(2) and the potential comprises -z(2)/2 (parabolic) and -a(2) + b(2)/2z(2) (centrifugal/centripetal) components. The square of the wavenumber has in the complex z-plane, four zeros each a transition point at z = +/-a +/- ib and has a double pole at z = 0. In cases (a) and (b), a and b are real and unitarity obtains. In case (a) the reflection and transition coefficients are parametrized by exponentials when a(2) + b(2) > 1/2. In case (b) they are parametrized by trigonometrics when a(2) + b(2) <1/2 and total reflection is achievable. In case (c) a and b are complex and in general unitarity is not achieved due to loss of flux to a continuum (O'Rourke and Crothers, 1992 Proc. R. Sec. 438 1). Nevertheless, case (c) coefficients reduce to (a) or (b) under appropriate limiting conditions. Setting z = ht, with h a real constant, an attempt is made to model a two-state collision problem modelled by a pair of coupled first-order impact parameter equations and an appropriate (T) over tilde-tau relation, where (T) over tilde is the Stueckelberg variable and tau is the reduced or scaled time. The attempt fails because (T) over tilde is an odd function of tau, which is unphysical in a real collision problem. However, it is pointed out that by applying the Kummer exponential model to each half-plane (O'Rourke and Crothers 1994 J. Phys. B: At. Mel. Opt. Phys. 27 2497) the current model is in effect extended to a collision problem with four transition points and a double pole in each half-plane. Moreover, the attempt in itself is not a complete failure since it is shown that the result is a perfect diabatic inelastic collision for a traceless Hamiltonian matrix, or at least when both diagonal elements are odd and the off-diagonal elements equal and even.

Abnormal anti-Stokes Raman scattering of carbon nanotubes

Abnormal anti-Stokes Raman scattering (AASR) was unambiguously observed in carbon nanotubes (CNT's). In contrast to traditional Raman scattering theory, the absolute value of the Raman frequency of the anti-Stokes peak is not the same as that of the corresponding Stokes peak. It was demonstrated that AASR scattering originates from the unique nanoscale cylindrical structure of CNT's that can be considered naturally as a graphite structure with an intrinsic defect from its rolling. The double-resonance Raman scattering theory was applied to interpret the scattering mechanism of the AASR phenomenon successfully and quantitatively.

Stokes imaging, Doppler mapping and Roche tomography of the AM Herculis system V834 Cen

We report on new simultaneous phase-resolved spectroscopic and polarimetric observations of the polar (AM Herculis star) V834 Cen during a high state of accretion. Strong emission lines and high levels of variable circular and linear polarization are observed over the orbital period. The polarization data are modelled using the Stokes imaging technique of Potter et al. The spectroscopic emission lines are investigated using the Doppler tomography technique of Marsh and Horne and the Roche tomography technique of Dhillon and Watson. Up to now, all three techniques have been used separately to investigate the geometry and accretion dynamics in cataclysmic variables. For the first time, we apply all three techniques to simultaneous data for a single system. This allows us to compare and test each of the techniques against each other and hence to derive a better understanding of the geometry, dynamics and system parameters of V834 Cen.

The Reduction of Oxygen in Various Room Temperature Ionic Liquids in the Temperature Range 293-318 K: Exploring the Applicability of the Stokes-Einstein Relationship in Room Temperature Ionic Liquids

The voltammetry for the reduction of oxygen at a microdisk electrode is reported in six commonly used RTILs: [C(4)mim][NTf2], [C(4)mpyrr][NTf2], [C(4)dmim][NTf2], [C(4)mim][BF4], [C(4)mim][PF6], and [N-6.2.2.2][NTf2], where [C(4)mim](+) is 1-butyl-3-methylimidazolium, [NTf2](-) is bis(trifluoromethanesulfonyl)imide, [C(4)mpyrr](+) is N-butyl-N-methylpyrrolidinium, [C(4)dmim](+) is 1-butyl-2,3-methylimidazolium, [BF4](-) is tetrafluoroborate, [PF6](-) is hexafluorophosphate, and [N-6.2.2.2](+) is n-hexyltriethylammonium at varying scan rates (50-4000 mV s(-1)) and temperatures (293-318 K). Diffusion coefficients, D, of oxygen are deduced at each temperature from potential-step chronoamperometry, and diffusional activation energies are calculated. Oxygen solubilities are also reported as a function of temperature. In the six ionic liquids, the Stokes-Einstein relationship (D proportional to eta(-1)) was found to apply only very approximately for oxygen. This is considered in relationship to the behavior of other diverse solutes in RTILs.

A double-blind cross-over study of nifedipine retard in patients with Raynaud's phenomenon

The effectiveness of nifedipine retard as a treatment for Raynaud's phenomenon was assessed in 15 patients in a placebo controlled double blind study. An associated connective tissue disease was evident in 7 patients. Changes in finger and forearm blood flow (venous occlusion plethysmography), digital skin temperature and digital systolic pressure were measured acutely before and after a 2-week treatment period. Subjective assessment of efficacy was based on patient diary data. In addition alpha 2-adrenoceptor density on platelets was measured before and after chronic nifedipine therapy in both the patient group and in an age-and-sex-matched control group. No significant haemodynamic changes were observed. Nifedipine retard significantly reduced the frequency (p less than 0.05) with no change in either the duration or severity of vasospastic attacks. Side effects were common following nifedipine retard. A reduction in alpha 2-adrenoceptor density on platelets was observed in patients compared to a control group (p less than 0.05). Alpha 2-adrenoceptor density was unchanged following a 2-week treatment period with nifedipine retard. This study concludes that nifedipine retard is not effective in the treatment of Raynaud's phenomenon over a short time course. Patients with Raynaud's phenomenon have reduced alpha 2-adrenoceptor densities on their platelets.

Romanticism and Blackwood's Magazine:'An Unprecedented Phenomenon'

Romanticism and Blackwood's Magazine is inspired by the ongoing critical fascination with Blackwood's Edinburgh Magazine, and the burgeoning recognition of its centrality to the Romantic age. Though the magazine itself was published continuously for well over a century and a half, this volume concentrates specifically on those years when William Blackwood was at the helm, beginning with his founding of the magazine in 1817 and closing with his death in 1834. These were the years when, as Samuel Taylor Coleridge put it in 1832, Blackwood's reigned as 'an unprecedented Phenomenon in the world of letters.' The magazine placed itself at the centre of the emerging mass media, commented decisively on all the major political and cultural issues that shaped the Romantic movement, and published some of the leading writers of the day, including Coleridge, Thomas De Quincey, John Galt, Felicia Hemans, James Hogg, Walter Scott, and Mary Shelley.

'This much-needed volume reminds us not only why Blackwood's was the most influential periodical publication of the time, but also how its writers, writings, and critical agendas continue to shape so many of the scholarly concerns of Romantic studies in the twenty-first century.' - Charles Mahoney, Associate Professor, University of Connecticut, USA

List of Illustrations
Acknowledgements
Abbreviations
Notes on Contributors
'A character so various, and yet so indisputably its own': A Passage to Blackwood's Edinburgh Magazine; R.Morrison & D.S.Roberts
PART I: BLACKWOOD'S AND THE PERIODICAL PRESS
Beginning Blackwood's: The Right Mix of Dulce and Ùtile; P.Flynn
John Gibson Lockhart and Blackwood's: Shaping the Romantic Periodical Press; T.Richardson
From Gluttony to Justified Sinning: Confessional Writing in Blackwood's and the London Magazine; D.Higgins
Camaraderie and Conflict: De Quincey and Wilson on Enemy Lines; R.Morrison
Selling Blackwood's Magazine, 1817-1834; D.Finkelstein
PART II: BLACKWOOD'S CULTURE AND CRITICISM
Blackwood's 'Personalities'; T.Mole
Communal Reception, Mary Shelley, and the 'Blackwood's School' of Criticism; N.Mason
Blackwoodian Allusion and the Culture of Miscellaneity; D.Stewart
Blackwood's Edinburgh Magazine in the Scientific Culture of Early Nineteenth-Century Edinburgh; W.Christie
The Art and Science of Politics in Blackwood's Edinburgh Magazine, c. 1817-1841; D.Kelly
Prosing Poetry: Blackwood's and Generic Transposition, 1820-1840; J.Camlot
PART III: BLACKWOOD'S FICTIONS
Blackwood's and the Boundaries of the Short Story; T.Killick
The Edinburgh of Blackwood's Edinburgh Magazine and James Hogg's Fiction; G.Hughes
'The Taste for Violence in Blackwood's Magazine'; M.Schoenfield
PART IV: BLACKWOOD'S AT HOME
John Wilson and Regency Authorship; R.Cronin
John Wilson and Sport; J.Strachan
William Maginn and the Blackwood's 'Preface' of 1826; D.E.Latané, Jr.
All Work and All Play: Felicia Hemans's Edinburgh Noctes; N.Sweet
PART V: BLACKWOOD'S ABROAD
Imagining India in Early Blackwood's; D.S.Roberts
Tales of the Colonies: Blackwood's, Provincialism, and British Interests Abroad; A.Jarrells
Selected Bibliography
Index

ROBERT MORRISON is Queen's National Scholar at Queen's University, Kingston, Ontario, Canada. His book, The English Opium-Eater: A Biography of Thomas De Quincey was a finalist for the James Tait Black Prize. He has edited writings by Jane Austen, Leigh Hunt, Thomas De Quincey, and John Polidori.
DANIEL SANJIV ROBERTS is Reader in English at Queen's University Belfast, UK. His publications include a monograph, Revisionary Gleam: De Quincey, Coleridge, and the High Romantic Argument (2000), and major critical editions of Thomas De Quincey's Autobiographic Sketches and Robert Southey's The Curse of Kehama; the latter was cited as a Distinguished Scholarly Edition by the MLA. He is currently working on an edition of Charles Johnstone's novel The History of Arsaces, Prince of Betlis for the Early Irish Fiction series.