Advisement: From Bank Street to Binghamton

The author describes her experience of adapting the Bank Street advisement model to a new master\u27s program in early childhood/elementary education at the State University of New York at Binghamton

Nitro­syltris(pyridine-2-thiol­ato-κ2 N,S)molybdenum(II) dihydrate

In the title compound, [Mo(C5H4NS)3(NO)]·2H2O, the Mo atom is coordinated by a nitrosyl ligand and three monoanionic N,S-bidentate ligands in a distorted MoN4S3 penta­gonal-bipyramidal mol­ecular geometry. The pyridine N atom of one pyridine-2-thiol­ate (pyt) ligand is coordinated to the Mo atom in the trans position relative to the NO ligand [N(pyt)—Mo—N(NO) = 170.62 (19)°]. The compound has C s symmetry, with a mirror plane that includes one pyt ring and the NO group. The S—Mo—N(NO) and N(pyt)—Mo—N(NO) angles [97.24 (12) and 91.87 (8)°, respectively] are large relative to the ideal angles of 90°. In the crystal, the mol­ecules pack in a zigzag arrangement. The cavities between the mol­ecules are occupied by disordered water mol­ecules of crystallization

trans-(Pyrimidine-2-thiol­ato-κ2 N,S)[tris­(2-amino­ethyl)amine-κ4 N,N′,N′′,N′′′]cobalt(III) chloride hexa­fluoridophosphate

In the title compound, [Co(C4H3N2S)(C6H18N4)](Cl)PF6, the CoIII ion is coordinated by a tripod-like tetra­dentate ligand and a monoanionic N,S-bidentate ligand in an approximately octa­hedral CoN4OS geometry. The anionic S atom of the pyrimidine-2-thiol­ate (pymt) ligand is coordinated in the trans position to the primary amine N atom (Nprim) of the tris­(2-amino­ethyl)amine (tren) ligand. The crystal structure exhibits short inter­molecular N—H⋯N hydrogen bonds (N⋯N <3.2 Å), and inter­molecular N—H⋯Cl and C—H⋯F contacts, leading to the formation of an infinite two-dimensional network

Magnetic-Field-Induced 4f-Octupole in CeB6 Probed by Resonant X-ray Diffraction

CeB6, a typical Gamma_8-quartet system, exhibits a mysterious antiferroquadrupolar ordered phase in magnetic fields, which is considered as originating from the T_{xyz}-type magnetic octupole moment induced by the field. By resonant x-ray diffraction in magnetic fields, we have verified that the T_{xyz}-type octupole is indeed induced in the 4f-orbital of Ce with a propagation vector (1/2, 1/2, 1/2), thereby supporting the theory. We observed an asymmetric field dependence of the intensity for an electric quadrupole (E2) resonance when the field was reversed, and extracted a field dependence of the octupole by utilizing the interference with an electric dipole (E1) resonance. The result is in good agreement with that of the NMR-line splitting, which reflects the transferred hyperfine field at the Boron nucleus from the anisotropic spin distribution of Ce with an O_{xy}-type quadrupole. The field-reversal method used in the present study opens up the possibility of being widely applied to other multipole ordering systems such as NpO2, Ce_{x}La_{1-x}B_{6}, SmRu_{4}P_{12}, and so on.Comment: 5 pages, 4 figures, submitte

Mirror Maps, Modular Relations and Hypergeometric Series I

Motivated by the recent work of Kachru-Vafa in string theory, we study in Part A of this paper, certain identities involving modular forms, hypergeometric series, and more generally series solutions to Fuchsian equations. The identity which arises in string theory is the simpliest of its kind. There are nontrivial generalizations of the identity which appear new. We give many such examples -- all of which arise in mirror symmetry for algebraic K3 surfaces. In Part B, we study the integrality property of certain $q$-series, known as mirror maps, which arise in mirror symmetry.Comment: 24 pages; harvma

Mirror Maps, Modular Relations and Hypergeometric Series II

As a continuation of \lianyaufour, we study modular properties of the periods, the mirror maps and Yukawa couplings for multi-moduli Calabi-Yau varieties. In Part A of this paper, motivated by the recent work of Kachru-Vafa, we degenerate a three-moduli family of Calabi-Yau toric varieties along a codimension one subfamily which can be described by the vanishing of certain Mori coordinate, corresponding to going to the ``large volume limit'' in a certain direction. Then we see that the deformation space of the subfamily is the same as a certain family of K3 toric surfaces. This family can in turn be studied by further degeneration along a subfamily which in the end is described by a family of elliptic curves. The periods of the K3 family (and hence the original Calabi-Yau family) can be described by the squares of the periods of the elliptic curves. The consequences include: (1) proofs of various conjectural formulas of physicists \vk\lkm~ involving mirror maps and modular functions; (2) new identities involving multi-variable hypergeometric series and modular functions -- generalizing \lianyaufour. In Part B, we study for two-moduli families the perturbation series of the mirror map and the type A Yukawa couplings near certain large volume limits. Our main tool is a new class of polynomial PDEs associated with Fuchsian PDE systems. We derive the first few terms in the perturbation series. For the case of degree 12 hypersurfaces in $\P^4[6,2,2,1,1]$, in one limit the series of the couplings are expressed in terms of the $j$ function. In another limit, they are expressed in terms of rational functions. The latter give explicit formulas for infinite sequences of ``instanton numbers'' $n_d$.Comment: 27 pages; harvma

Radiative impact of mixing state of black carbon aerosol in Asian outflow

The radiative impact of the mixing state of black carbon (BC) aerosol is investigated in Asian outflow. The mixing state and size distribution of BC aerosol were measured with a ground-based single-particle soot photometer at a remote island (Fukue) in Japan in spring 2007. The mass concentration of BC in Asian continental air masses reached 0.5 μg m-3, with a mass median diameter of 200-220 nm. The median value of the shell/core diameter ratio increased to ∼1.6 in Asian continental and maritime air masses with a core diameter of 200 mn, while in free tropospheric and Japanese air masses it was 1.3-1.4. On the basis of theoretical calculations using the size distribution and mixing state of BC aerosol, scattering and absorption properties of PM1 aerosols were calculated under both dry and ambient conditions, considering the hygroscopic growth of aerosols. It was estimated that internal mixing enhanced the BC absorption by a factor of 1.5-1.6 compared to external mixing. The calculated absorption coefficient was 2-3 times higher in Asian continental air masses than in clean air. Coatings reduced the single-scattering albedo (SSA) of PM1 aerosol by 0.01 -0.02, which indicates the importance of the mixing state of BC aerosol in evaluating its radiative influence. The SSA was sensitive to changes in air mass type, with a value of ∼0.98 in Asian continental air masses and ∼0.95 in Japanese and free tropospheric air masses under ambient conditions. Copyright 2008 by the American Geophysical Union