• Title/Summary/Keyword: S $i_{1-x}C_x$

Search Result 534, Processing Time 0.03 seconds

Determination of Frequency Independent Critical Concentration of Xathan and Carob Mixed Gels

  • Yoon, Won-Byong;Gunasekaran, Sundaram
    • Food Science and Biotechnology
    • /
    • v.16 no.6
    • /
    • pp.1069-1071
    • /
    • 2007
  • The frequency independent critical concentration (Cc) of xanthan and carob (X/C) mixed gel was determined based on the Winter-Chambon's theory. X/C mixed (X/C=1:1 ratio) gels were prepared from 0.1 to 1% of concentration. The linear viscoelastic properties, i.e., storage and loss modulus, of X/C mixed gel at $20^{\circ}C$ were measured by frequency sweep tests. The frequency independence of tangent function of phase angle (tan ${\delta}$) of X/C mixed gels was graphically determined from the intersection of the plot of phase angle against concentration at varied frequencies. The intersection (C=0.43%) was considered to be Cc of X/C mixed gel.

Rheological Properties of the Solutions of Incompatible Polymer Blends

  • Sohn, Jeong-In;Ree, Taik-Yue
    • Bulletin of the Korean Chemical Society
    • /
    • v.2 no.4
    • /
    • pp.142-147
    • /
    • 1981
  • A blend polymeric system composed of poly(methyl methacrylate) (PMMA or PM) and polystyrene (PS) dissolved in chloroform was rheologically studied. The viscosities ${\eta}_{bl}$ of the blend system with various blending ratios ${\chi}$ changing from zero (pure PS solution) to unity (pure PMMA solution) were measured at $25{\circ}C$ as a function of shear rates ${\dot{s}}$ by using a Couette type viscometer. ${\eta}_{bl}$ at a given ${\dot{s}}$ decreased exponentially with ${\chi}$ reaching asymptotic constant value of ${\eta}_{bl}$ ; ${\eta}_{bl}$ at a given ${\chi}$ is greater at a smaller ${\dot{s}}$. These results are explained by using Ree-Erying's theory of viscosity, ${\eta}_{bl}=(x_1{\beta}_1/{\alpha}_1)_{b}_1+ (x_2{\beta}_2/{\alpha}_2)_{bl}[sinh^{-1}{\beta}_2(bl) {\dot{s}}]/{\beta}_2(bl){\dot{s}}$. The Gibbs activation energy ${\Delta}G_i^\neq$(i = 2 for non-Newtonian units) entering into the intrinsic relaxation time ${\beta}$ is represented by a linear combination ${\Delta}G_i^\neq(bl) ={\chi}{\Delta}G_i^{\neq}_{iPM}+(1-{\chi}){\Delta}G_i^{\neq}_{iPS}$;the intrinsic shear modulus$[[\alpha}_i]^{-1}$ is also represented by $[{\alpha}_i(bl)]^{-1}={\chi}[{\alpha}_{iPM}]^{-1}+(1-{\chi})[{\alpha}_{iPS}]^{-1}$ and the fraction of area on a shear surface occupied by the ith flow units $x_i(bl)$ is similarly represented, i.e., $x_i(bl) = {\chi}x_{iPM}+(1-{\chi})x_{iPS}$. By using these ideas the Ree-Eyring equation was rewritten which explained the experimental results satisfactorily.

Mossbauer Study of nano-sized (Li_{0.5x}Fe_{0.5x}Zn_{1-x})Fe_2O_4$ particles

  • J. C. Sur;Kim, T. S.;T. Y. Ha;Lee, J. K.;S. H. Gee;Y. K. Hong;Park, M. H.;D. W. Erickson;P. J. Lamb
    • Proceedings of the Korean Magnestics Society Conference
    • /
    • 2002.12a
    • /
    • pp.92-93
    • /
    • 2002
  • The substituted lithium ferrites combine useful ferromagnetic properties with high Curie temperature ranging from 55$0^{\circ}C$ to 85$0^{\circ}C$, [1] high saturation magnetization, [2] and low microwave dielectric loss.[3] Saturation magnetization of (Z $n_{1-x}$ F $e_{x}$)A[L $i_{0.5x}$F $e_{ 2-0.5x}$]$_{B}$ $O_4$ increased with zinc concentration, followed by a decrease at x = 0.7.[4] This is attributed to a dilution of the A-site with zinc which initially causes an increase in saturation magnetization due to the dominance of the B-site. (omitted)d))d)d))

  • PDF

TWO-SIDED BEST SIMULTANEOUS APPROXIMATION

  • Rhee, Hyang Joo
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.23 no.4
    • /
    • pp.705-710
    • /
    • 2010
  • Let $C_1(X)$ be a normed linear space over ${\mathbb{R}}^m$, and S be an n-dimensional subspace of $C_1(X)$ with spaned by {$s_1,{\cdots},s_n$}. For each ${\ell}$- tuple vectors F in $C_1(X)$, the two-sided best simultaneous approximation problem is $$\min_{s{\in}S}\;\max\limits_{i=1}^\ell\{{\parallel}f_i-s{\parallel}_1\}$$. A $s{\in}S$ attaining the above minimum is called a two-sided best simultaneous approximation or a Chebyshev center for $F=\{f_1,{\cdots},f_{\ell}\}$ from S. This paper is concerned with algorithm for calculating two-sided best simultaneous approximation, in the case of continuous functions.

Magnetic Properties of Hot Press and Die-Upset Nd-Fe-B-Co Magnets (Hot Press 및 Die-Upset 법에 의해 제조된 Nd-Fe-B-Co 자석의 자기적 특성)

  • Lee, K.S.;Kim, Y.S.;Suh, S.J.;Park, H.S.;Park, C.
    • Journal of the Korean Magnetics Society
    • /
    • v.7 no.1
    • /
    • pp.49-54
    • /
    • 1997
  • The effect of Co and annealing temperature on the magnetic properties, phase change and microstructure of melt-spun $(Nd_{14.73}Fe_{78.67}B_{6.60})_{100-x}Co_x$ (X=0, 1, 2, 3) ribbons has been studied. The Co containing ribbons were found to have higher coercivity ($_iH_c$) than the ribbons without Co. Intrinsic coercivity of 20.3 kOe has been obtained by addition of 2 at%Co. This effect by Co addition is also represented in the case of hot pressed and die-upseted magnets. The maximum intrinsic coercivities of hot press and die-upset $(Nd_{14.73}Fe_{78.67}B_{6.60})_{100- x}Co_x$ (X=0, 1, 2, 3) magnets are 16.9 kOe and 15.2 kOe when X=2.

  • PDF

Preparation and Characteristics of $CdS_{1-x}Te_{1-x}$ Ternary Polycrystalline Thin Films by Co-evaporation (동시 열증착법에 의한 $CdS_{1-x}Te_{1-x}$ 삼원계 다결정 박막의 제작과 특성)

  • 박민서;송복식;정성훈;문동찬;김선태
    • Proceedings of the Korean Institute of Electrical and Electronic Material Engineers Conference
    • /
    • 1995.11a
    • /
    • pp.126-130
    • /
    • 1995
  • $CdS_{1-x}Te_{1-x}$ polycrystalline thin films were fabricated from CdS and CdTe powder by co-evaporation method at $10^{-6}$ Torr. The Optimum evaporation condition was substrate temperature $T_{s}$=$150^{\circ}C$, evaporation time t=30 min. XRD spectrums indicated that the crystal structure chanced from zinc blonde (x$\leq$0.22) to wurtzite (x$\geq$0.96) through mixed structure (0.22$\leq$0.74) as composition value x increase to CdS. Conductive type was n-type by hot point probe method. van der Pauw method was not applicable for x<0,5 due to high hall voltages, Electrical resistivity and Hall carrier mobility were decreased as x increase, while Hall carrier concentration was increased. The optical bandgap of $CdS_{1-x}Te_{1-x}$ polycrystalline thin films measure d at R.T. had quardratic form and the bowing parameter was fitted as 1.98eV for theoretical value of 2.0eV. I-V characteristics of In/CdTe/$CdS_{x}Te_{1-x}$Au Schottky diodes showed that CdS-rich one had better forward characteristics than CdTe-rich one.

  • PDF

Fixed Point Theorems for Multivalued Mappings in Banach Spaces

  • Bae, Jong Sook;Park, Myoung Sook
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.3 no.1
    • /
    • pp.103-110
    • /
    • 1990
  • Let K be a nonempty weakly compact convex subset of a Banach space X and T : K ${\rightarrow}$ C(X) a nonexpansive mapping satisfying $P_T(x){\cap}clI_K(x){\neq}{\emptyset}$. We first show that if I - T is semiconvex type then T has a fixed point. Also we obtain the same result without the condition that I - T is semiconvex type in a Banach space satisfying Opial's condition. Lastly we extend the result of [5] to the case, that T is an 1-set contraction mapping.

  • PDF

STRONG CONVERGENCE OF PATHS FOR NONEXPANSIVE SEMIGROUPS IN BANACH SPACES

  • Kang, Shin Min;Cho, Sun Young;Kwun, Young Chel
    • Korean Journal of Mathematics
    • /
    • v.19 no.3
    • /
    • pp.279-289
    • /
    • 2011
  • Let E be a uniformly convex Banach space with a uniformly Gateaux differentiable norm, C be a nonempty closed convex subset of E and f : $C{\rightarrow}C$ be a fixed bounded continuous strong pseudocontraction with the coefficient ${\alpha}{\in}(0,1)$. Let $\{{\lambda}_t\}_{0<t<1}$ be a net of positive real numbers such that ${\lim}_{t{\rightarrow}0}{\lambda}_t={\infty}$ and S = {$T(s)$ : $0{\leq}s$ < ${\infty}$} be a nonexpansive semigroup on C such that $F(S){\neq}{\emptyset}$, where F(S) denotes the set of fixed points of the semigroup. Then sequence {$x_t$} defined by $x_t=tf(x_t)+(1-t)\frac{1}{{\lambda}_t}{\int_{0}}^{{\lambda}_t}T(s)x{_t}ds$ converges strongly as $t{\rightarrow}0$ to $\bar{x}{\in}F(S)$, which solves the following variational inequality ${\langle}(f-I)\bar{x},\;p-\bar{x}{\rangle}{\leq}0$ for all $p{\in}F(S)$.

CERTAIN SUMMATION FORMULAS FOR HUMBERT'S DOUBLE HYPERGEOMETRIC SERIES Ψ2 AND Φ2

  • CHOI, JUNESANG;RATHIE, ARJUN KUMAR
    • Communications of the Korean Mathematical Society
    • /
    • v.30 no.4
    • /
    • pp.439-446
    • /
    • 2015
  • The main objective of this paper is to establish certain explicit expressions for the Humbert functions ${\Phi}_2$(a, a + i ; c ; x, -x) and ${\Psi}_2$(a ; c, c + i ; x, -x) for i = 0, ${\pm}1$, ${\pm}2$, ..., ${\pm}5$. Several new and known summation formulas for ${\Phi}_2$ and ${\Psi}_2$ are considered as special cases of our main identities.

Preparation and Characteristics of $La_{1-x}Sr_xCoO_3$ Cathode material as function of Sr mole fraction in SOFC (SOFC의 Sr 첨가량에 따른 $La_{1-x}Sr_xCoO_3$ Cathode 재료의 제조 및 특성 연구)

  • Park, J.H.;Eom, S.W.;Moon, S.I.;Park, T.G.;Yun, M.S.
    • Proceedings of the KIEE Conference
    • /
    • 1994.11a
    • /
    • pp.202-204
    • /
    • 1994
  • Nowadays Perovskite $La_{1-x}Sr_xCoO_3$ is a preferred cathode material in the construction Solid Oxide Fuel Cell (SOFC). The $La_{1-x}Sr_xCoO_3$ with Sr contents ranging from X=0.0 to X=1.0 were prepared by a citrate method. All samples were examined by X-ray powder diffraction. The samples used for measuring thermal expansion were prepared as pellets by cold pressing and subsequent sintering in air at $1200^{\circ}C$ for 5 hours. To measure the sub-product of $La_{1-x}Sr_xCoO_3$ with YSZ, where coating films were sintered at $1200^{\circ}C$ for 5 hour.

  • PDF